@Preamble{
"\let \k = \c" #
"\ifx \undefined \arccot \def \arccot {{\rm arccot}} \fi" #
"\ifx \undefined \binom \def \binom {{\rm binom}} \fi" #
"\ifx \undefined \booktitle \def \booktitle #1{{{\em #1}}} \fi" #
"\ifx \undefined \cdprime \def \cdprime {$''$} \fi" #
"\ifx \undefined \cprime \def \cprime {$'$} \fi" #
"\ifx \undefined \lasp \def \lasp {\leavevmode\raise.45ex\hbox{$\lhook$}} \fi" #
"\ifx \undefined \mathbb \def \mathbb #1{{\bf #1}} \fi" #
"\ifx \undefined \mathcal \def \mathcal #1{{\cal #1}} \fi" #
"\ifx \undefined \sech \def \sech {{\rm sech}} \fi" #
"\ifx \undefined \url \input{path.sty} \fi"
}
@String{ack-nhfb = "Nelson H. F. Beebe,
University of Utah,
Department of Mathematics, 110 LCB,
155 S 1400 E RM 233,
Salt Lake City, UT 84112-0090, USA,
Tel: +1 801 581 5254,
FAX: +1 801 581 4148,
e-mail: \path|beebe@math.utah.edu|,
\path|beebe@acm.org|,
\path|beebe@computer.org| (Internet),
URL: \path|https://www.math.utah.edu/~beebe/|"}
@String{inst-MCCM = "Manchester Centre for Computational Mathematics"}
@String{inst-MCCM:adr = "Manchester, England"}
@String{inst-SRC-IDA = "Supercomputing Research Center: IDA"}
@String{inst-SRC-IDA:adr = "Lanham, MD, USA"}
@String{inst-UTAH-MATH = "University of Utah, Department of
Mathematics"}
@String{inst-UTAH-MATH:adr = "155 S 1400 E RM 233, Salt Lake City,
UT 84112-0090, USA"}
@String{j-ACM-COMM-COMP-ALGEBRA = "ACM Communications in Computer Algebra"}
@String{j-ALGORITHMICA = "Algorithmica"}
@String{j-ALMAGEST = "Almagest: International Journal for
the History of Scientific Ideas"}
@String{j-AMER-MATH-MONTHLY = "American Mathematical Monthly"}
@String{j-ANN-APPL-PROBAB = "Annals of Applied Probability"}
@String{j-ANN-HIST-COMPUT = "Annals of the History of Computing"}
@String{j-ANN-INST-HENRI-POINCARE-PROBAB-STATIST = "Annales de l'Institut Henri
Poincar{\'e}. Probabilit{\'e}s et
Statistiques"}
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Statistical Mathematics"}
@String{j-ANN-OPER-RESEARCH = "Annals of Operations Research"}
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@String{j-APPL-MATH-LETT = "Applied Mathematics Letters"}
@String{j-APPL-ECON-LETT = "Applied Economics Letters"}
@String{j-APPL-MATH-COMP = "Applied Mathematics and Computation"}
@String{j-APPL-NUM-MATH = "Applied Numerical Mathematics: Transactions
of IMACS"}
@String{j-ARCH-HIST-EXACT-SCI = "Archive for History of Exact Sciences"}
@String{j-ARCHIMEDE = "Archimede. Rivista per gli Insegnanti e i
Cultori di Matematiche Pure e Applicate"}
@String{j-AUSTRALIAN-MATH-TEACHER = "The {Australian} Mathematics Teacher"}
@String{j-AUTOMATION-REMOTE-CTL = "Automation and Remote Control"}
@String{j-BIT = "BIT (Nordisk tidskrift for
informationsbehandling)"}
@String{j-BOLL-STOR-SCI-MAT = "Bollettino di Storia delle Scienze
Matematiche"}
@String{j-BOLL-UNIONE-MAT-ITAL-A = "Bollettino della Unione matematica
italiana. A."}
@String{j-BRITISH-J-HIST-SCI = "British Journal for the History of Science"}
@String{j-BSHM-BULL = "BSHM Bulletin: Journal of the British Society
for the History of Mathematics"}
@String{j-BULL-MATH-BIOL = "Bulletin of Mathematical Biology"}
@String{j-BULL-SOC-R-SCI-LIEGE = "Bulletin de la Soci{\'e}t{\'e} royale des
sciences de Li{\`e}ge"}
@String{j-CACM = "Communications of the Association for
Computing Machinery"}
@String{j-CAN-J-MATH = "Canadian Journal of Mathematics = Journal
canadien de math{\'e}matiques"}
@String{j-CAN-MATH-BULL = "Canadian Mathematical Bulletin = Bulletin
canadien de math{\'e}matiques"}
@String{j-CENTAURUS = "Centaurus: An International Journal of the
History of Science and its Cultural Aspects"}
@String{j-CGF = "Computer Graphics Forum"}
@String{j-CHANCE = "Chance"}
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@String{j-COMMUN-STAT-SIMUL-COMPUT = "Communications in Statistics: Simulation
and Computation"}
@String{j-COMMUN-STAT-THEORY-METH = "Communications in Statistics: Theory and
Methods"}
@String{j-COMP-GRAPHICS = "Computer Graphics"}
@String{j-COMP-J = "The Computer Journal"}
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@String{j-COMPUT-STAT-DATA-ANAL = "Computational Statistics \& Data Analysis"}
@String{j-COMPUTERS-AND-GRAPHICS = "Computers and Graphics"}
@String{j-CRYPTOGR-COMMUN = "Cryptography and Communications"}
@String{j-DDJ = "Dr. Dobb's Journal of Software Tools"}
@String{j-DESIGNS-CODES-CRYPTOGR = "Designs, Codes, and Cryptography"}
@String{j-ECOL-MODELL = "Ecological Modelling"}
@String{j-ELECTRON-J-LINEAR-ALGEBRA = "Electronic Journal of Linear Algebra"}
@String{j-EXP-MATH = "Experimental Mathematics"}
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@String{j-HIST-SCI = "Historia Scientiarum = International journal
of the {History of Science Society of
Japan}"}
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Systems and Applications"}
@String{j-IEEE-SOFTWARE = "IEEE Software"}
@String{j-IEEE-TRANS-COMPUT = "IEEE Transactions on Computers"}
@String{j-IEEE-TRANS-INF-THEORY = "IEEE Transactions on Information Theory"}
@String{j-IEEE-TRANS-PAR-DIST-SYS = "IEEE Transactions on Parallel and
Distributed Systems"}
@String{j-IEEE-TRANS-VIS-COMPUT-GRAPH = "IEEE Transactions on Visualization
and Computer Graphics"}
@String{j-IJQC = "International Journal of Quantum Chemistry"}
@String{j-INFO-PROC-LETT = "Information Processing Letters"}
@String{j-INT-J-COMP-APPL = "International Journal of Computer
Applications"}
@String{j-INT-J-COMPUT-INF-SCI = "International Journal of Computer and
Information Sciences"}
@String{j-INT-J-COMPUT-SYST-SCI-ENG = "International Journal of Computer Systems
Science and Engineering"}
@String{j-INT-J-FOUND-COMP-SCI = "International Journal of Foundations
of Computer Science (IJFCS)"}
@String{j-INT-J-HIGH-SPEED-COMPUTING = "International Journal of High Speed
Computing (IJHSC)"}
@String{j-INT-J-NUMBER-THEORY = "International Journal of Number Theory (IJNT)"}
@String{j-INT-STAT-REV = "International Statistical Review =
Revue Internationale de Statistique"}
@String{j-INTERNET-MATH = "Internet Mathematics"}
@String{j-J-ACM = "Journal of the Association for Computing
Machinery"}
@String{j-J-AM-STAT-ASSOC = "Journal of the American Statistical
Association"}
@String{j-J-APPL-PROBAB = "Journal of Applied Probability"}
@String{j-J-COMP-SYS-SCI = "Journal of Computer and System Sciences"}
@String{j-J-COMPUT-APPL-MATH = "Journal of Computational and Applied
Mathematics"}
@String{j-J-COMPUT-CHEM = "Journal of Computational Chemistry"}
@String{j-J-COMPUT-PHYS = "Journal of Computational Physics"}
@String{j-J-COMPUT-SCI = "Journal of Computational Science"}
@String{j-J-DISCR-MATH-SCI-CRYPTO = "Journal of Discrete Mathematical Sciences
and Cryptography"}
@String{j-J-HIST-BIOL = "Journal of the History of Biology"}
@String{j-J-INFO-SEC-APPL = "Journal of Information Security and
Applications (JISA)"}
@String{j-J-MATH-CHEM = "Journal of Mathematical Chemistry"}
@String{j-J-MATH-ARTS = "Journal of Mathematics and the Arts"}
@String{j-J-MATH-PHYS = "Journal of Mathematical Physics"}
@String{j-J-NUMBER-THEORY = "Journal of Number Theory"}
@String{j-J-PAR-DIST-COMP = "Journal of Parallel and Distributed
Computing"}
@String{j-J-R-STAT-SOC-SER-D-STATISTICIAN = "Journal of the Royal Statistical
Society. Series D (The Statistician)"}
@String{j-J-STAT-COMPUT-SIMUL = "Journal of Statistical Computation and
Simulation"}
@String{j-J-STAT-PLANN-INFERENCE = "Journal of Statistical Planning and
Inference"}
@String{j-J-STAT-PHYS = "Journal of Statistical Physics"}
@String{j-J-STAT-SOFT = "Journal of Statistical Software"}
@String{j-J-SUPERCOMPUTING = "The Journal of Supercomputing"}
@String{j-J-SYMBOLIC-COMP = "Journal of Symbolic Computation"}
@String{j-J-THEOR-BIOL = "Journal of Theoretical Biology"}
@String{j-J-UCS = "J.UCS: The Journal of Universal Computer
Science"}
@String{j-LECT-NOTES-COMP-SCI = "Lecture Notes in Computer Science"}
@String{j-LECT-NOTES-MATH = "Lecture Notes in Mathematics"}
@String{j-LIN-MULT-ALGEBRA = "Linear Multilinear Algebra"}
@String{j-LINEAR-ALGEBRA-APPL = "Linear Algebra and its Applications"}
@String{j-MATH-COMPUT = "Mathematics of Computation"}
@String{j-MATH-COMPUT-APPL = "Mathematical and Computational Applications"}
@String{j-MATH-GAZ = "The Mathematical Gazette"}
@String{j-MATH-INTEL = "The Mathematical Intelligencer"}
@String{j-MATH-MAG = "Mathematics Magazine"}
@String{j-MATHEMATICA-J = "Mathematica Journal"}
@String{j-MONAT-MATH-PHYSIK = "Monatshefte f{\"u}r Mathematik und Physik"}
@String{j-MONTE-CARLO-METHODS-APPL = "Monte Carlo Methods and Applications"}
@String{j-NAMS = "Notices of the American Mathematical
Society"}
@String{j-NORDISK-TIDSKR-INFORM-BEHAND = "Nordisk Tidskrift for
Informationsbehandling"}
@String{j-NUNCIUS = "Nuncius"}
@String{j-PARALLEL-COMPUTING = "Parallel Computing"}
@String{j-PARALLEL-PROCESS-LETT = "Parallel Processing Letters"}
@String{j-PHYSICA-A = "Physica A, Statistical Mechanics and its
Applications"}
@String{j-PHYSIS = "Physis: Rivista Internazionale di Storia
della Scienza"}
@String{j-PHYSIS-NS = "Physis: Rivista Internazionale di Storia
della Scienza. Nuova Serie"}
@String{j-PROBAB-THEORY-RELAT-FIELDS = "Probability Theory and Related Fields"}
@String{j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI = "Proceedings of the Royal
Society of London. Series A, Mathematical
and physical sciences"}
@String{j-REV-HIST-MATH = "Revue d'Histoire des Math{\'e}matiques =
Journal for the History of Mathematics"}
@String{j-REV-MOD-PHYS = "Reviews of Modern Physics"}
@String{j-SCI-AMER = "Scientific American"}
@String{j-SCIENCE = "Science"}
@String{j-SCIENCE-NEWS = "Science News (Washington, DC)"}
@String{j-SCRIPTA-MATH = "Scripta Mathematica"}
@String{j-SIAM-J-APPL-MATH = "SIAM Journal on Applied Mathematics"}
@String{j-SIAM-J-COMPUT = "SIAM Journal on Computing"}
@String{j-SIAM-J-CONTROL = "SIAM Journal on Control"}
@String{j-SIAM-J-DISCR-MATH = "SIAM Journal on Discrete Mathematics"}
@String{j-SIAM-J-MATH-ANA = "SIAM Journal on Mathematical Analysis"}
@String{j-SIAM-J-SCI-STAT-COMP = "SIAM Journal on Scientific and
Statistical Computing"}
@String{j-SIAM-REVIEW = "SIAM Review"}
@String{j-SIGACT = "ACM SIGACT News"}
@String{j-SIGCSE = "SIGCSE Bulletin (ACM Special Interest Group
on Computer Science Education)"}
@String{j-SIGPLAN = "ACM SIG{\-}PLAN Notices"}
@String{j-SIGMETRICS = "ACM SIGMETRICS Performance Evaluation
Review"}
@String{j-STAT-PROB-LETT = "Statistics \& Probability Letters"}
@String{j-SUDHOFFS-ARCH = "{Sudhoffs Archiv: Zeitschrift f{\"u}r
Wissenschaftsgeschichte}"}
@String{j-TALG = "ACM Transactions on Algorithms"}
@String{j-THEOR-COMP-SCI = "Theoretical Computer Science"}
@String{j-THEORY-PROBAB-APPL = "Theory of Probability and its Applications"}
@String{j-TOG = "ACM Transactions on Graphics"}
@String{j-TOMACS = "ACM Transactions on Modeling and Computer
Simulation"}
@String{j-TOMS = "ACM Transactions on Mathematical Software"}
@String{j-TOPLAS = "ACM Transactions on Programming Languages and
Systems"}
@String{j-TRETS = "ACM Transactions on Reconfigurable Technology
and Systems (TRETS)"}
@String{j-TWO-YEAR-COLL-MATH-J = "Two-Year College Mathematics Journal"}
@String{j-VLDB-J = "VLDB Journal: Very Large Data Bases"}
@String{pub-ACADEMIC = "Academic Press"}
@String{pub-ACADEMIC:adr = "New York, USA"}
@String{pub-ACM = "ACM Press"}
@String{pub-ACM:adr = "New York, NY 10036, USA"}
@String{pub-ALLYN-BACON = "Allyn and Bacon"}
@String{pub-ALLYN-BACON:adr = "Needham Heights, MA, USA"}
@String{pub-AMS = "American Mathematical Society"}
@String{pub-AMS:adr = "Providence, RI, USA"}
@String{pub-AW = "Ad{\-d}i{\-s}on-Wes{\-l}ey"}
@String{pub-AW:adr = "Reading, MA, USA"}
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@String{pub-BASIC-BOOKS:adr = "New York, NY, USA"}
@String{pub-COPERNICUS = "Copernicus (a division of Springer-Verlag
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@String{pub-COPERNICUS:adr = "175 Fifth Avenue, New York, NY 10010, USA"}
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@String{pub-DOVER:adr = "New York, NY, USA"}
@String{pub-ELLIS-HORWOOD = "Ellis Horwood"}
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@String{pub-HOUGHTON-MIFFLIN = "Houghton-Mifflin"}
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@String{pub-IEEE:adr = "1109 Spring Street, Suite 300, Silver
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@String{pub-MCGRAW-HILL:adr = "New York, NY, USA"}
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@String{pub-OXFORD:adr = "Walton Street, Oxford OX2 6DP, UK"}
@String{pub-PRINCETON = "Princeton University Press"}
@String{pub-PRINCETON:adr = "Princeton, NJ, USA"}
@String{pub-PROJECT-GUTENBERG = "Project Gutenberg"}
@String{pub-PROJECT-GUTENBERG:adr = "P.O. Box 2782, Champaign, IL 61825-2782,
USA"}
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@String{pub-RANDOM-HOUSE:adr = "New York, NY, USA"}
@String{pub-SV = "Spring{\-}er-Ver{\-}lag"}
@String{pub-SV:adr = "Berlin, Germany~/ Heidelberg,
Germany~/ London, UK~/ etc."}
@String{pub-W-H-FREEMAN = "W. H. {Freeman and Company}"}
@String{pub-W-H-FREEMAN:adr = "New York, NY, USA"}
@String{pub-WALKER = "Walker and Company"}
@String{pub-WALKER:adr = "435 Hudson Street, New York, NY 10014, USA"}
@String{pub-WILEY = "John Wiley"}
@String{pub-WILEY:adr = "New York, NY, USA"}
@String{pub-WORLD-SCI = "World Scientific Publishing Co."}
@String{pub-WORLD-SCI:adr = "Singapore; Philadelphia, PA, USA; River
Edge, NJ, USA"}
@String{ser-LNCS = "Lecture Notes in Computer Science"}
@String{ser-PROJECT-GUTENBERG = "Project Gutenberg"}
@Article{Brown:1963:GSC,
author = "J. L. {Brown, Jr.}",
title = "A Generalization of Semi-Completeness for Integer
Sequences",
journal = j-FIB-QUART,
volume = "1",
number = "1",
pages = "3--15",
month = feb,
year = "1963",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:17 MDT 2011",
bibsource = "http://www.fq.math.ca/1-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/1-1/brown.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Byrd:1963:EAF,
author = "Paul F. Byrd",
title = "Expansion of Analytic Functions in Polynomials
Associated with {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "1",
number = "1",
pages = "16--27",
month = feb,
year = "1963",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:17 MDT 2011",
bibsource = "http://www.fq.math.ca/1-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/1-1/byrd.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1963:PDa,
author = "Anonymous",
title = "Problem Department",
journal = j-FIB-QUART,
volume = "1",
number = "1",
pages = "28--29",
month = feb,
year = "1963",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:17 MDT 2011",
bibsource = "http://www.fq.math.ca/1-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/1-1/problems1-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gould:1963:ORI,
author = "H. W. Gould",
title = "Operational Recurrences Involving {Fibonacci}
Numbers",
journal = j-FIB-QUART,
volume = "1",
number = "1",
pages = "30--33",
month = feb,
year = "1963",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:17 MDT 2011",
bibsource = "http://www.fq.math.ca/1-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/1-1/gould.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Alfred:1963:AFF,
author = "Brother U. Alfred",
title = "Additional Factors of the {Fibonacci} and {Lucas}
Series",
journal = j-FIB-QUART,
volume = "1",
number = "1",
pages = "34--42",
month = feb,
year = "1963",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:17 MDT 2011",
bibsource = "http://www.fq.math.ca/1-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/1-1/alfred1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Alfred:1963:FPF,
author = "Brother U. Alfred",
title = "On the Form of Primitive Factors of {Fibonacci}
Numbers",
journal = j-FIB-QUART,
volume = "1",
number = "1",
pages = "43--45",
month = feb,
year = "1963",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:17 MDT 2011",
bibsource = "http://www.fq.math.ca/1-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/1-1/alfred2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1963:APSa,
author = "Verner E. {Hoggatt, Jr.}",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "1",
number = "1",
pages = "46--48",
month = feb,
year = "1963",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:17 MDT 2011",
bibsource = "http://www.fq.math.ca/1-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/1-1/advanced1-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Thoro:1963:BCa,
author = "Dmitri Thoro",
title = "Beginners' Corner",
journal = j-FIB-QUART,
volume = "1",
number = "1",
pages = "49--52",
month = feb,
year = "1963",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:17 MDT 2011",
bibsource = "http://www.fq.math.ca/1-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/1-1/thoro.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Basin:1963:FSI,
author = "S. L. Basin",
title = "The {Fibonacci} Sequence As It Appears in Nature",
journal = j-FIB-QUART,
volume = "1",
number = "1",
pages = "53--56",
month = feb,
year = "1963",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:17 MDT 2011",
bibsource = "http://www.fq.math.ca/1-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/1-1/basin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Alfred:1963:EFN,
author = "Brother U. Alfred",
title = "Exploring {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "1",
number = "1",
pages = "57--63",
month = feb,
year = "1963",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:17 MDT 2011",
bibsource = "http://www.fq.math.ca/1-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/1-1/alfred3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Thoro:1963:SBC,
author = "Dmitri Thoro",
title = "Solutions, Beginner's Corner",
journal = j-FIB-QUART,
volume = "1",
number = "1",
pages = "64--??",
month = feb,
year = "1963",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:17 MDT 2011",
bibsource = "http://www.fq.math.ca/1-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/1-1/thoro-solutions.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Basin:1963:PFSa,
author = "S. L. Basin and Verner E. {Hoggatt, Jr.}",
title = "A Primer on the {Fibonacci} Sequence, {Part I}",
journal = j-FIB-QUART,
volume = "1",
number = "1",
pages = "65--72",
month = feb,
year = "1963",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:17 MDT 2011",
bibsource = "http://www.fq.math.ca/1-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/1-1/primer-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Basin:1963:EPSa,
author = "S. L. Basin",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "1",
number = "1",
pages = "73--??",
month = feb,
year = "1963",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:17 MDT 2011",
bibsource = "http://www.fq.math.ca/1-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/1-1/elementary1-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1963:CP,
author = "Anonymous",
title = "Cover Page",
journal = j-FIB-QUART,
volume = "1",
number = "1",
pages = "??--??",
month = feb,
year = "1963",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:17 MDT 2011",
bibsource = "http://www.fq.math.ca/1-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/1-1/editorial.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gould:1963:GFP,
author = "H. W. Gould",
title = "Generating Functions for Products of Powers of
{Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "1",
number = "2",
pages = "1--16",
month = apr,
year = "1963",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:19 MDT 2011",
bibsource = "http://www.fq.math.ca/1-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/1-2/gould.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1963:FA,
author = "L. Carlitz",
title = "A {Fibonacci} Array",
journal = j-FIB-QUART,
volume = "1",
number = "2",
pages = "17--28",
month = apr,
year = "1963",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:19 MDT 2011",
bibsource = "http://www.fq.math.ca/1-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/1-2/carlitz.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Robinson:1963:FMM,
author = "D. W. Robinson",
title = "The {Fibonacci} Matrix Modulo $m$",
journal = j-FIB-QUART,
volume = "1",
number = "2",
pages = "29--36",
month = apr,
year = "1963",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:19 MDT 2011",
bibsource = "http://www.fq.math.ca/1-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/1-2/robinson.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Vinson:1963:RPM,
author = "John Vinson",
title = "The Relation of the Period Modulo $m$ to the Rank of
Apparition of $m$ in the {Fibonacci} Sequence",
journal = j-FIB-QUART,
volume = "1",
number = "2",
pages = "37--46",
month = apr,
year = "1963",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:19 MDT 2011",
bibsource = "http://www.fq.math.ca/1-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/1-2/vinson.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bicknell:1963:FML,
author = "Marjorie Bicknell and Verner E. {Hoggatt, Jr.}",
title = "{Fibonacci} Matrices and Lambda Functions",
journal = j-FIB-QUART,
volume = "1",
number = "2",
pages = "47--52",
month = apr,
year = "1963",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:19 MDT 2011",
bibsource = "http://www.fq.math.ca/1-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/1-2/bicknell.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1963:APSb,
author = "Verner E. {Hoggatt, Jr.}",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "1",
number = "2",
pages = "53--55",
month = apr,
year = "1963",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:19 MDT 2011",
bibsource = "http://www.fq.math.ca/1-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/1-2/advanced1-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1963:GFS,
author = "Anonymous",
title = "Generating {Fibonacci} Series on a Desk Calculator",
journal = j-FIB-QUART,
volume = "1",
number = "2",
pages = "56--??",
month = apr,
year = "1963",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:19 MDT 2011",
bibsource = "http://www.fq.math.ca/1-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/1-2/generating-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Thoro:1963:BCb,
author = "Dmitri Thoro",
title = "Beginners' Corner",
journal = j-FIB-QUART,
volume = "1",
number = "2",
pages = "57--59",
month = apr,
year = "1963",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:19 MDT 2011",
bibsource = "http://www.fq.math.ca/1-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/1-2/thoro.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brooke:1963:LEF,
author = "Maxey Brooke",
title = "Letter to the Editor: {Fibonacci} Formulas",
journal = j-FIB-QUART,
volume = "1",
number = "2",
pages = "60--??",
month = apr,
year = "1963",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:19 MDT 2011",
bibsource = "http://www.fq.math.ca/1-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/1-2/brooke.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Basin:1963:PFSb,
author = "S. L. Basin and Verner E. {Hoggatt, Jr.}",
title = "A Primer on the {Fibonacci} Sequence, {Part II}",
journal = j-FIB-QUART,
volume = "1",
number = "2",
pages = "61--68",
month = apr,
year = "1963",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:19 MDT 2011",
bibsource = "http://www.fq.math.ca/1-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/1-2/basin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Jeske:1963:LRRa,
author = "James A. Jeske",
title = "Linear Recurrence Relations, {Part I}",
journal = j-FIB-QUART,
volume = "1",
number = "2",
pages = "69--73",
month = apr,
year = "1963",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:19 MDT 2011",
bibsource = "http://www.fq.math.ca/1-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/1-2/jeske.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1963:PDb,
author = "Anonymous",
title = "Problem Department",
journal = j-FIB-QUART,
volume = "1",
number = "2",
pages = "74--??",
month = apr,
year = "1963",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:19 MDT 2011",
bibsource = "http://www.fq.math.ca/1-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/1-2/problems1-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ruggles:1963:SFR,
author = "I. Dale Ruggles",
title = "Some {Fibonacci} Results Using {Fibonacci}-Type
Sequences",
journal = j-FIB-QUART,
volume = "1",
number = "2",
pages = "75--79",
month = apr,
year = "1963",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:19 MDT 2011",
bibsource = "http://www.fq.math.ca/1-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/1-2/ruggles.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Thoro:1963:HBC,
author = "Dmitri Thoro",
title = "Hints to Beginner's Corner Problems",
journal = j-FIB-QUART,
volume = "1",
number = "2",
pages = "80--??",
month = apr,
year = "1963",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:19 MDT 2011",
bibsource = "http://www.fq.math.ca/1-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/1-2/thoro2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Alfred:1963:ERS,
author = "Brother U. Alfred",
title = "Exploring Recurrent Sequences",
journal = j-FIB-QUART,
volume = "1",
number = "2",
pages = "81--83",
month = apr,
year = "1963",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:19 MDT 2011",
bibsource = "http://www.fq.math.ca/1-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/1-2/alfred.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Geller:1963:CIP,
author = "Stephen P. Geller",
title = "A Computer Investigation of a Property of the
{Fibonacci} Sequence",
journal = j-FIB-QUART,
volume = "1",
number = "2",
pages = "84--??",
month = apr,
year = "1963",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:19 MDT 2011",
bibsource = "http://www.fq.math.ca/1-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/1-2/geller.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Basin:1963:EPSb,
author = "S. L. Basin",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "1",
number = "2",
pages = "85--??",
month = apr,
year = "1963",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:19 MDT 2011",
bibsource = "http://www.fq.math.ca/1-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/1-2/elementary1-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1963:RCS,
author = "V. E. {Hoggatt, Jr.} and S. L. Basin",
title = "Representations by Complete Sequences --- {Part I}
({Fibonacci})",
journal = j-FIB-QUART,
volume = "1",
number = "3",
pages = "1--14",
month = oct,
year = "1963",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:21 MDT 2011",
bibsource = "http://www.fq.math.ca/1-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/1-3/hoggatt1-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Jarden:1963:GPD,
author = "Dov Jarden",
title = "On the Greatest Primitive Divisors of {Fibonacci} and
{Lucas} Numbers With Prime-Power Subscripts",
journal = j-FIB-QUART,
volume = "1",
number = "3",
pages = "15--20",
month = oct,
year = "1963",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:21 MDT 2011",
bibsource = "http://www.fq.math.ca/1-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/1-3/jarden.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Raab:1963:GCB,
author = "Joseph A. Raab",
title = "A Generalization of the Connection Between the
{Fibonacci} Sequence and {Pascal}'s Triangle",
journal = j-FIB-QUART,
volume = "1",
number = "3",
pages = "21--31",
month = oct,
year = "1963",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:21 MDT 2011",
bibsource = "http://www.fq.math.ca/1-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/1-3/raab.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1963:OMW,
author = "Anonymous",
title = "Obituary for {Morgan Ward}",
journal = j-FIB-QUART,
volume = "1",
number = "3",
pages = "32--??",
month = oct,
year = "1963",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:21 MDT 2011",
bibsource = "http://www.fq.math.ca/1-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/1-3/obit-ward.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Alfred:1963:PPF,
author = "Brother U. Alfred",
title = "Periodic Properties of {Fibonacci} Summations",
journal = j-FIB-QUART,
volume = "1",
number = "3",
pages = "33--41",
month = oct,
year = "1963",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:21 MDT 2011",
bibsource = "http://www.fq.math.ca/1-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/1-3/alfred1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ziegenfus:1963:LET,
author = "Charles Ziegenfus",
title = "Letter to the Editor: Twin Primes",
journal = j-FIB-QUART,
volume = "1",
number = "3",
pages = "42--??",
month = oct,
year = "1963",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:21 MDT 2011",
bibsource = "http://www.fq.math.ca/1-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/1-3/ziegenfus.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1963:FNZ,
author = "A. P. Hillman and M. T. Stroot and R. M. Grassl",
title = "{Fibonacci} Numbers and Zigzag {Hasse} Diagrams",
journal = j-FIB-QUART,
volume = "1",
number = "3",
pages = "43--45",
month = oct,
year = "1963",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:21 MDT 2011",
bibsource = "http://www.fq.math.ca/1-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/1-3/hillman.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1963:APSc,
author = "Verner E. {Hoggatt, Jr.}",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "1",
number = "3",
pages = "46--52",
month = oct,
year = "1963",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:21 MDT 2011",
bibsource = "http://www.fq.math.ca/1-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/1-3/advanced1-3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Thoro:1963:BCc,
author = "Dmitri Thoro",
title = "Beginners' Corner",
journal = j-FIB-QUART,
volume = "1",
number = "3",
pages = "53--59",
month = oct,
year = "1963",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:21 MDT 2011",
bibsource = "http://www.fq.math.ca/1-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/1-3/thoro.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Alfred:1963:EFP,
author = "Brother U. Alfred",
title = "Exploring {Fibonacci} Polygons",
journal = j-FIB-QUART,
volume = "1",
number = "3",
pages = "60--??",
month = oct,
year = "1963",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:21 MDT 2011",
bibsource = "http://www.fq.math.ca/1-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/1-3/alfred2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ruggles:1963:PFS,
author = "I. D. Ruggles and Verner E. {Hoggatt, Jr.}",
title = "A Primer on the {Fibonacci} Sequence, {Part III}",
journal = j-FIB-QUART,
volume = "1",
number = "3",
pages = "61--65",
month = oct,
year = "1963",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:21 MDT 2011",
bibsource = "http://www.fq.math.ca/1-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/1-3/hoggatt2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hunter:1963:TIR,
author = "J. A. H. Hunter",
title = "Triangle Inscribed in Rectangle",
journal = j-FIB-QUART,
volume = "1",
number = "3",
pages = "66--??",
month = oct,
year = "1963",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:21 MDT 2011",
bibsource = "http://www.fq.math.ca/1-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/1-3/hunter.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Siler:1963:FS,
author = "Ken Siler",
title = "{Fibonacci} Summations",
journal = j-FIB-QUART,
volume = "1",
number = "3",
pages = "67--70",
month = oct,
year = "1963",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:21 MDT 2011",
bibsource = "http://www.fq.math.ca/1-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/1-3/siler.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Feinberg:1963:FT,
author = "Mark Feinberg",
title = "{Fibonacci--Tribonacci}",
journal = j-FIB-QUART,
volume = "1",
number = "3",
pages = "71--74",
month = oct,
year = "1963",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:21 MDT 2011",
bibsource = "http://www.fq.math.ca/1-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/1-3/feinberg.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Basin:1963:EPSc,
author = "S. L. Basin",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "1",
number = "3",
pages = "75--??",
month = oct,
year = "1963",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:21 MDT 2011",
bibsource = "http://www.fq.math.ca/1-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/1-3/elementary1-3-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Buschman:1963:FNC,
author = "R. G. Buschman",
title = "{Fibonacci} Numbers, {Chebyshev} Polynomials,
Generalizations and Difference Equations",
journal = j-FIB-QUART,
volume = "1",
number = "4",
pages = "1--7",
month = dec,
year = "1963",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:23 MDT 2011",
bibsource = "http://www.fq.math.ca/1-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/1-4/buschman-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1963:HFQ,
author = "Anonymous",
title = "History of the {Fibonacci Quarterly}",
journal = j-FIB-QUART,
volume = "1",
number = "4",
pages = "8--??",
month = dec,
year = "1963",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:23 MDT 2011",
bibsource = "http://www.fq.math.ca/1-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/1-4/history1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whinihan:1963:FN,
author = "Michael J. Whinihan",
title = "{Fibonacci Nim}",
journal = j-FIB-QUART,
volume = "1",
number = "4",
pages = "9--14",
month = dec,
year = "1963",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:23 MDT 2011",
bibsource = "http://www.fq.math.ca/1-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/1-4/whinihan.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{King:1963:LF,
author = "Charles King",
title = "{Leonardo Fibonacci}",
journal = j-FIB-QUART,
volume = "1",
number = "4",
pages = "15--20",
month = dec,
year = "1963",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:23 MDT 2011",
bibsource = "http://www.fq.math.ca/1-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/1-4/king.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Jarden:1963:PLD,
author = "Dov Jarden",
title = "On the Periodicity of the Last Digits of the
{Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "1",
number = "4",
pages = "21--22",
month = dec,
year = "1963",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:23 MDT 2011",
bibsource = "http://www.fq.math.ca/1-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/1-4/jarden.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wall:1963:SRC,
author = "Charles R. Wall",
title = "Some Remarks on {Carlitz}'s {Fibonacci} Array",
journal = j-FIB-QUART,
volume = "1",
number = "4",
pages = "23--29",
month = dec,
year = "1963",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:23 MDT 2011",
bibsource = "http://www.fq.math.ca/1-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/1-4/wall.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Thoro:1963:RGF,
author = "Dmitri Thoro",
title = "Reciprocals of Generalized {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "1",
number = "4",
pages = "30--??",
month = dec,
year = "1963",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:23 MDT 2011",
bibsource = "http://www.fq.math.ca/1-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/1-4/thoro.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gould:1963:FEG,
author = "H. W. Gould",
title = "{Fibonacci} Exponentials and Generalizations of
{Hermite} Polynomials",
journal = j-FIB-QUART,
volume = "1",
number = "4",
pages = "31--34",
month = dec,
year = "1963",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:23 MDT 2011",
bibsource = "http://www.fq.math.ca/1-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/1-4/gould.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Jeske:1963:LRRb,
author = "James A. Jeske",
title = "Linear Recurrence Relations --- {Part III}",
journal = j-FIB-QUART,
volume = "1",
number = "4",
pages = "35--40",
month = dec,
year = "1963",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:23 MDT 2011",
bibsource = "http://www.fq.math.ca/1-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/1-4/jeske-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:1963:FAF,
author = "A. F. Horadam",
title = "Further Appearance of the {Fibonacci} Sequence",
journal = j-FIB-QUART,
volume = "1",
number = "4",
pages = "41--42",
month = dec,
year = "1963",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:23 MDT 2011",
bibsource = "http://www.fq.math.ca/1-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/1-4/horadam-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Alfred:1963:OFS,
author = "Brother U. Alfred",
title = "On the Ordering of the {Fibonacci} Sequence",
journal = j-FIB-QUART,
volume = "1",
number = "4",
pages = "43--46",
month = dec,
year = "1963",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:23 MDT 2011",
bibsource = "http://www.fq.math.ca/1-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/1-4/alfred1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1963:APSd,
author = "Verner E. {Hoggatt, Jr.}",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "1",
number = "4",
pages = "47--52",
month = dec,
year = "1963",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:23 MDT 2011",
bibsource = "http://www.fq.math.ca/1-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/1-4/advanced1-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Alfred:1963:DRP,
author = "Brother U. Alfred",
title = "Dying Rabbit Problem Revived",
journal = j-FIB-QUART,
volume = "1",
number = "4",
pages = "53--56",
month = dec,
year = "1963",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:23 MDT 2011",
bibsource = "http://www.fq.math.ca/1-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/1-4/alfred2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{McNabb:1963:P,
author = "Sister Mary de Sales McNabb",
title = "Phyllotaxis",
journal = j-FIB-QUART,
volume = "1",
number = "4",
pages = "57--60",
month = dec,
year = "1963",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:23 MDT 2011",
bibsource = "http://www.fq.math.ca/1-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/1-4/mcnabb-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wlodarski:1963:GRF,
author = "J. Wlodarski",
title = "The {``Golden Ratio''} and the {Fibonacci} Numbers in
the World of Atoms",
journal = j-FIB-QUART,
volume = "1",
number = "4",
pages = "61--64",
month = dec,
year = "1963",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:23 MDT 2011",
bibsource = "http://www.fq.math.ca/1-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/1-4/wlodarski.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bruggles:1963:PFS,
author = "I. D. Bruggles and V. E. {Hoggatt, Jr.}",
title = "A Primer on the {Fibonacci} Sequence, {Part IV}",
journal = j-FIB-QUART,
volume = "1",
number = "4",
pages = "65--71",
month = dec,
year = "1963",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:23 MDT 2011",
bibsource = "http://www.fq.math.ca/1-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/1-4/hoggatt.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Alfred:1963:EFR,
author = "Brother U. Alfred",
title = "Exploring the {Fibonacci} Representation of Integers",
journal = j-FIB-QUART,
volume = "1",
number = "4",
pages = "72--??",
month = dec,
year = "1963",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:23 MDT 2011",
bibsource = "http://www.fq.math.ca/1-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/1-4/alfred3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Basin:1963:EPSd,
author = "S. L. Basin",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "1",
number = "4",
pages = "73--??",
month = dec,
year = "1963",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:23 MDT 2011",
bibsource = "http://www.fq.math.ca/1-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/1-4/elementary1-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1963:IV,
author = "Anonymous",
title = "Index to {Volume I}",
journal = j-FIB-QUART,
volume = "1",
number = "4",
pages = "??--??",
month = dec,
year = "1963",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:23 MDT 2011",
bibsource = "http://www.fq.math.ca/1-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/1-4/index.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Graham:1964:PFN,
author = "R. L. Graham",
title = "A Property of {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "2",
number = "1",
pages = "1--10",
month = feb,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:03 MDT 2011",
bibsource = "http://www.fq.math.ca/2-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-1/graham.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Alfred:1964:SLN,
author = "Brother U. Alfred",
title = "On Square {Lucas} Numbers",
journal = j-FIB-QUART,
volume = "2",
number = "1",
pages = "11--12",
month = feb,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:03 MDT 2011",
bibsource = "http://www.fq.math.ca/2-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-1/alfred1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Greenwood:1964:LPF,
author = "Robert E. Greenwood",
title = "Lattice Paths and {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "2",
number = "1",
pages = "13--14",
month = feb,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:03 MDT 2011",
bibsource = "http://www.fq.math.ca/2-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-1/greenwood.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1964:NFN,
author = "L. Carlitz",
title = "A Note on {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "2",
number = "1",
pages = "15--28",
month = feb,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:03 MDT 2011",
bibsource = "http://www.fq.math.ca/2-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-1/carlitz.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1964:SNF,
author = "Verner E. {Hoggatt, Jr.} and Marjorie Bicknell",
title = "Some New {Fibonacci} Identities",
journal = j-FIB-QUART,
volume = "2",
number = "1",
pages = "29--31",
month = feb,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:03 MDT 2011",
bibsource = "http://www.fq.math.ca/2-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-1/hoggatt1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1964:Ca,
author = "Anonymous",
title = "Corrections",
journal = j-FIB-QUART,
volume = "2",
number = "1",
pages = "32--??",
month = feb,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:03 MDT 2011",
bibsource = "http://www.fq.math.ca/2-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-1/corrections1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Alfred:1964:PWF,
author = "Brother U. Alfred",
title = "Primes Which Are Factors Of All {Fibonacci}
Sequences",
journal = j-FIB-QUART,
volume = "2",
number = "1",
pages = "33--38",
month = feb,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:03 MDT 2011",
bibsource = "http://www.fq.math.ca/2-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-1/alfred2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Jordan:1964:FTC,
author = "J. H. Jordan",
title = "A {Fibonacci} Test For Convergence",
journal = j-FIB-QUART,
volume = "2",
number = "1",
pages = "39--41",
month = feb,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:03 MDT 2011",
bibsource = "http://www.fq.math.ca/2-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-1/jordan.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Alfred:1964:EFR,
author = "Brother U. Alfred",
title = "Exploring {Fibonacci} Residues",
journal = j-FIB-QUART,
volume = "2",
number = "1",
pages = "42--??",
month = feb,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:03 MDT 2011",
bibsource = "http://www.fq.math.ca/2-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-1/alfred3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Knuth:1964:TNB,
author = "Donald Knuth",
title = "Transcendental Numbers Based On The {Fibonacci}
Sequence",
journal = j-FIB-QUART,
volume = "2",
number = "1",
pages = "43--44",
month = feb,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:03 MDT 2011",
bibsource = "http://www.fq.math.ca/2-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-1/knuth-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Jarden:1964:SIF,
author = "Dov Jarden",
title = "Strengthened Inequalities For {Fibonacci} And {Lucas}
Numbers",
journal = j-FIB-QUART,
volume = "2",
number = "1",
pages = "45--48",
month = feb,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:03 MDT 2011",
bibsource = "http://www.fq.math.ca/2-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-1/jarden.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1964:APSa,
author = "Verner E. {Hoggatt, Jr.}",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "2",
number = "1",
pages = "49--52",
month = feb,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:03 MDT 2011",
bibsource = "http://www.fq.math.ca/2-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-1/advanced2-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Thoro:1964:BCa,
author = "Dmitri Thoro",
title = "Beginners' Corner",
journal = j-FIB-QUART,
volume = "2",
number = "1",
pages = "53--56",
month = feb,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:03 MDT 2011",
bibsource = "http://www.fq.math.ca/2-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-1/thoro.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Michael:1964:NPO,
author = "Glen Michael",
title = "A New Proof For An Old Property",
journal = j-FIB-QUART,
volume = "2",
number = "1",
pages = "57--58",
month = feb,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:03 MDT 2011",
bibsource = "http://www.fq.math.ca/2-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-1/michael.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1964:PFS,
author = "Verner E. {Hoggatt, Jr.} and I. D. Bruggles",
title = "A Primer on the {Fibonacci} Sequence, {Part V}",
journal = j-FIB-QUART,
volume = "2",
number = "1",
pages = "59--66",
month = feb,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:03 MDT 2011",
bibsource = "http://www.fq.math.ca/2-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-1/hoggatt2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Parker:1964:GTR,
author = "Francis D. Parker",
title = "On the General Term of a Recursive Sequence",
journal = j-FIB-QUART,
volume = "2",
number = "1",
pages = "67--71",
month = feb,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:03 MDT 2011",
bibsource = "http://www.fq.math.ca/2-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-1/parker.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1964:EPSa,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "2",
number = "1",
pages = "72--80",
month = feb,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:03 MDT 2011",
bibsource = "http://www.fq.math.ca/2-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-1/elementary2-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Alfred:1964:SDI,
author = "Brother U. Alfred",
title = "Some Determinants Involving Powers of {Fibonacci}
Numbers",
journal = j-FIB-QUART,
volume = "2",
number = "2",
pages = "81--92",
month = apr,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:05 MDT 2011",
bibsource = "http://www.fq.math.ca/2-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-2/alfred1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brennan:1964:FPPa,
author = "Terrence A. Brennan",
title = "{Fibonacci} Powers and {Pascal}'s Triangle in a
Matrix",
journal = j-FIB-QUART,
volume = "2",
number = "2",
pages = "93--103",
month = apr,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:05 MDT 2011",
bibsource = "http://www.fq.math.ca/2-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-2/brennan.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Huntley:1964:FG,
author = "H. E. Huntley",
title = "{Fibonacci} Geometry",
journal = j-FIB-QUART,
volume = "2",
number = "2",
pages = "104--??",
month = apr,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:05 MDT 2011",
bibsource = "http://www.fq.math.ca/2-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-2/huntley.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Zeitlin:1964:SFF,
author = "David Zeitlin",
title = "On Summation Formulas for {Fibonacci} and {Lucas}
Numbers",
journal = j-FIB-QUART,
volume = "2",
number = "2",
pages = "105--107",
month = apr,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:05 MDT 2011",
bibsource = "http://www.fq.math.ca/2-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-2/zeitlin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cohn:1964:LE,
author = "John H. E. Cohn",
title = "Letter to the Editor",
journal = j-FIB-QUART,
volume = "2",
number = "2",
pages = "108--??",
month = apr,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:05 MDT 2011",
bibsource = "http://www.fq.math.ca/2-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-2/cohn1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cohn:1964:SFN,
author = "John H. E. Cohn",
title = "Square {Fibonacci} Numbers, Etc.",
journal = j-FIB-QUART,
volume = "2",
number = "2",
pages = "109--113",
month = apr,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:05 MDT 2011",
bibsource = "http://www.fq.math.ca/2-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-2/cohn2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lafer:1964:EFR,
author = "Phil Lafer",
title = "Exploring the {Fibonacci} Representation of Integers",
journal = j-FIB-QUART,
volume = "2",
number = "2",
pages = "114--??",
month = apr,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:05 MDT 2011",
bibsource = "http://www.fq.math.ca/2-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-2/lafer-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Fielder:1964:PEM,
author = "Daniel Fielder",
title = "Partition Enumeration by Means of Simpler Partitions",
journal = j-FIB-QUART,
volume = "2",
number = "2",
pages = "115--117",
month = apr,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:05 MDT 2011",
bibsource = "http://www.fq.math.ca/2-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-2/fielder.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1964:Cb,
author = "Anonymous",
title = "Corrections",
journal = j-FIB-QUART,
volume = "2",
number = "2",
pages = "118--??",
month = apr,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:05 MDT 2011",
bibsource = "http://www.fq.math.ca/2-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-2/corrections.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Basin:1964:NWF,
author = "S. L. Basin",
title = "A Note on {Waring}'s Formula for Sums of Like Powers
of Roots",
journal = j-FIB-QUART,
volume = "2",
number = "2",
pages = "119--121",
month = apr,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:05 MDT 2011",
bibsource = "http://www.fq.math.ca/2-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-2/basin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1964:O,
author = "Anonymous",
title = "Omissions",
journal = j-FIB-QUART,
volume = "2",
number = "2",
pages = "122--??",
month = apr,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:05 MDT 2011",
bibsource = "http://www.fq.math.ca/2-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-2/omissions.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1964:APSb,
author = "Verner E. {Hoggatt, Jr.}",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "2",
number = "2",
pages = "123--134",
month = apr,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:05 MDT 2011",
bibsource = "http://www.fq.math.ca/2-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-2/advanced2-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Thoro:1964:BCb,
author = "Dmitri Thoro",
title = "Beginners' Corner",
journal = j-FIB-QUART,
volume = "2",
number = "2",
pages = "135--137",
month = apr,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:05 MDT 2011",
bibsource = "http://www.fq.math.ca/2-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-2/thoro.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Alfred:1964:EFN,
author = "Brother U. Alfred",
title = "Exploring {Fibonacci} Numbers with a Calculator",
journal = j-FIB-QUART,
volume = "2",
number = "2",
pages = "138--??",
month = apr,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:05 MDT 2011",
bibsource = "http://www.fq.math.ca/2-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-2/alfred2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Mandelson:1964:AIF,
author = "Joseph Mandelson",
title = "Amateur Interests in the {Fibonacci} Series --- Prime
Numbers",
journal = j-FIB-QUART,
volume = "2",
number = "2",
pages = "139--144",
month = apr,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:05 MDT 2011",
bibsource = "http://www.fq.math.ca/2-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-2/mandelson.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1964:MCF,
author = "A. P. Hillman and G. L. Alexanderson",
title = "A Motivation for Continued Fractions",
journal = j-FIB-QUART,
volume = "2",
number = "2",
pages = "145--148",
month = apr,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:05 MDT 2011",
bibsource = "http://www.fq.math.ca/2-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-2/hillman.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brooke:1964:FNT,
author = "Maxey Brooke",
title = "{Fibonacci} Numbers: Their History Through 1900",
journal = j-FIB-QUART,
volume = "2",
number = "2",
pages = "149--153",
month = apr,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:05 MDT 2011",
bibsource = "http://www.fq.math.ca/2-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-2/brooke.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1964:EPSb,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "2",
number = "2",
pages = "154--160",
month = apr,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:05 MDT 2011",
bibsource = "http://www.fq.math.ca/2-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-2/elementary2-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Beard:1964:FDB,
author = "Colonel R. S. Beard",
title = "{Fibonacci} Drawing Board",
journal = j-FIB-QUART,
volume = "2",
number = "3",
pages = "161--162",
month = oct,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:07 MDT 2011",
bibsource = "http://www.fq.math.ca/2-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-3/beard.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brown:1964:ZTS,
author = "J. L. {Brown, Jr.}",
title = "{Zeckendorf}'s Theorem and Some Applications",
journal = j-FIB-QUART,
volume = "2",
number = "3",
pages = "163--168",
month = oct,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:07 MDT 2011",
bibsource = "http://www.fq.math.ca/2-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-3/brown.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Oliver:1964:SSM,
author = "L. T. Oliver and D. J. Wilde",
title = "Symmetric Sequential Minimax Search for a Maximum",
journal = j-FIB-QUART,
volume = "2",
number = "3",
pages = "169--175",
month = oct,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:07 MDT 2011",
bibsource = "http://www.fq.math.ca/2-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-3/oliver.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1964:FND,
author = "Verner E. {Hoggatt, Jr.}",
title = "{Fibonacci} Numbers from a Differential Equation",
journal = j-FIB-QUART,
volume = "2",
number = "3",
pages = "176--??",
month = oct,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:07 MDT 2011",
bibsource = "http://www.fq.math.ca/2-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-3/hoggatt1-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brennan:1964:FPPb,
author = "T. A. Brennan",
title = "{Fibonacci} Powers and {Pascal}'s Triangle in a Matrix
--- {Part II}",
journal = j-FIB-QUART,
volume = "2",
number = "3",
pages = "177--183",
month = oct,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:07 MDT 2011",
bibsource = "http://www.fq.math.ca/2-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-3/brennan.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Huntley:1964:GC,
author = "H. E. Huntley",
title = "The Golden Cuboid",
journal = j-FIB-QUART,
volume = "2",
number = "3",
pages = "184--??",
month = oct,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:07 MDT 2011",
bibsource = "http://www.fq.math.ca/2-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-3/huntley-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1964:PDE,
author = "L. Carlitz",
title = "A Partial Difference Equation Related to the
{Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "2",
number = "3",
pages = "185--196",
month = oct,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:07 MDT 2011",
bibsource = "http://www.fq.math.ca/2-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-3/carlitz.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Jeske:1964:LRR,
author = "J. A. Jeske",
title = "Linear Recurrence Relations --- {Part III}",
journal = j-FIB-QUART,
volume = "2",
number = "3",
pages = "197--202",
month = oct,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:07 MDT 2011",
bibsource = "http://www.fq.math.ca/2-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-3/jeske.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gould:1964:AGS,
author = "H. W. Gould",
title = "Associativity and the Golden Section",
journal = j-FIB-QUART,
volume = "2",
number = "3",
pages = "203--??",
month = oct,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:07 MDT 2011",
bibsource = "http://www.fq.math.ca/2-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-3/gould.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1964:APSc,
author = "Verner E. {Hoggatt, Jr.}",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "2",
number = "3",
pages = "204--209",
month = oct,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:07 MDT 2011",
bibsource = "http://www.fq.math.ca/2-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-3/advanced2-3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Alfred:1964:DML,
author = "Brother U. Alfred",
title = "A Digit Muses \ldots{}",
journal = j-FIB-QUART,
volume = "2",
number = "3",
pages = "210--??",
month = oct,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:07 MDT 2011",
bibsource = "http://www.fq.math.ca/2-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-3/alfred1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Heimer:1964:FCP,
author = "R. L. Heimer",
title = "Further Comments on the Periodicity of the Digits of
the {Fibonacci} Sequence",
journal = j-FIB-QUART,
volume = "2",
number = "3",
pages = "211--214",
month = oct,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:07 MDT 2011",
bibsource = "http://www.fq.math.ca/2-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-3/heimer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Sharpe:1964:VS,
author = "B. B. Sharpe",
title = "The Vanishing Square",
journal = j-FIB-QUART,
volume = "2",
number = "3",
pages = "215--??",
month = oct,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:07 MDT 2011",
bibsource = "http://www.fq.math.ca/2-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-3/sharpe.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Alfred:1964:EFM,
author = "Brother U. Alfred",
title = "Exploring {Fibonacci} Magic Squares",
journal = j-FIB-QUART,
volume = "2",
number = "3",
pages = "216--??",
month = oct,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:07 MDT 2011",
bibsource = "http://www.fq.math.ca/2-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-3/alfred2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Halton:1964:FR,
author = "J. H. Halton",
title = "On {Fibonacci} Residues",
journal = j-FIB-QUART,
volume = "2",
number = "3",
pages = "217--??",
month = oct,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:07 MDT 2011",
bibsource = "http://www.fq.math.ca/2-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-3/halton.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bloom:1964:CFF,
author = "David M. Bloom",
title = "Corrected Factorizations of {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "2",
number = "3",
pages = "218--??",
month = oct,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:07 MDT 2011",
bibsource = "http://www.fq.math.ca/2-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-3/bloom.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Norden:1964:PM,
author = "H. Norden",
title = "Proportions in Music",
journal = j-FIB-QUART,
volume = "2",
number = "3",
pages = "219--??",
month = oct,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:07 MDT 2011",
bibsource = "http://www.fq.math.ca/2-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-3/norden.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brillhart:1964:RSO,
author = "J. Brillhart",
title = "Remarks on a Second Order Recurring Sequence",
journal = j-FIB-QUART,
volume = "2",
number = "3",
pages = "220--222",
month = oct,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:07 MDT 2011",
bibsource = "http://www.fq.math.ca/2-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-3/brillhart.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Feinberg:1964:NS,
author = "M. Feinberg",
title = "New Slants",
journal = j-FIB-QUART,
volume = "2",
number = "3",
pages = "223--227",
month = oct,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:07 MDT 2011",
bibsource = "http://www.fq.math.ca/2-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-3/feinberg.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horner:1964:FP,
author = "W. W. Horner",
title = "{Fibonacci} and {Pascal}",
journal = j-FIB-QUART,
volume = "2",
number = "3",
pages = "228--??",
month = oct,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:07 MDT 2011",
bibsource = "http://www.fq.math.ca/2-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-3/horner.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lehmer:1964:IFP,
author = "E. Lehmer",
title = "On the Infinitude of {Fibonacci} Pseudo-Primes",
journal = j-FIB-QUART,
volume = "2",
number = "3",
pages = "229--??",
month = oct,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:07 MDT 2011",
bibsource = "http://www.fq.math.ca/2-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-3/lehmer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hunter:1964:TVS,
author = "J. A. H. Hunter",
title = "Two Very Special Numbers",
journal = j-FIB-QUART,
volume = "2",
number = "3",
pages = "230--??",
month = oct,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:07 MDT 2011",
bibsource = "http://www.fq.math.ca/2-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-3/hunter.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1964:EPSc,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "2",
number = "3",
pages = "231--240",
month = oct,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:07 MDT 2011",
bibsource = "http://www.fq.math.ca/2-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-3/elementary2-3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gould:1964:BCB,
author = "H. W. Gould",
title = "Binomial Coefficients, the Bracket Function, and
Composition with Relatively Prime Summands",
journal = j-FIB-QUART,
volume = "2",
number = "4",
pages = "241--259",
month = dec,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:10 MDT 2011",
bibsource = "http://www.fq.math.ca/2-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-4/gould.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Baumgart:1964:LE,
author = "B. G. Baumgart",
title = "Letter to the Editor",
journal = j-FIB-QUART,
volume = "2",
number = "4",
pages = "260--??",
month = dec,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:10 MDT 2011",
bibsource = "http://www.fq.math.ca/2-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-4/baumgart-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1964:FPF,
author = "Verner E. {Hoggatt, Jr.} and Marjorie Bicknell",
title = "Fourth Power {Fibonacci} Identities from {Pascal}'s
Triangle",
journal = j-FIB-QUART,
volume = "2",
number = "4",
pages = "261--266",
month = dec,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:10 MDT 2011",
bibsource = "http://www.fq.math.ca/2-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-4/hoggatt.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hagis:1964:APF,
author = "Peter {Hagis, Jr.}",
title = "An Analytic Proof of the Formula for {$ F_n $}",
journal = j-FIB-QUART,
volume = "2",
number = "4",
pages = "267--268",
month = dec,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:10 MDT 2011",
bibsource = "http://www.fq.math.ca/2-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-4/hagis.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Alfred:1964:CFF,
author = "Brother U. Alfred",
title = "Continued Fractions and {Fibonacci} and {Lucas}
Ratios",
journal = j-FIB-QUART,
volume = "2",
number = "4",
pages = "269--276",
month = dec,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:10 MDT 2011",
bibsource = "http://www.fq.math.ca/2-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-4/alfred1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Harris:1964:GFN,
author = "V. C. Harris and Carolyn C. Styles",
title = "A Generalization of {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "2",
number = "4",
pages = "277--289",
month = dec,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:10 MDT 2011",
bibsource = "http://www.fq.math.ca/2-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-4/harris.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Draim:1964:EPT,
author = "N. A. Draim",
title = "Expansion of Pi in Terms of an Infinite Continued
Fraction with Predictable Terms",
journal = j-FIB-QUART,
volume = "2",
number = "4",
pages = "290--??",
month = dec,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:10 MDT 2011",
bibsource = "http://www.fq.math.ca/2-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-4/draim.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Thoro:1964:AUT,
author = "Dmitri Thoro",
title = "An Application of Unimodular Transformations",
journal = j-FIB-QUART,
volume = "2",
number = "4",
pages = "291--295",
month = dec,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:10 MDT 2011",
bibsource = "http://www.fq.math.ca/2-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-4/thoro.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Torretto:1964:GBC,
author = "Roseanna F. Torretto and J. Allen Fuchs",
title = "Generalized Binomial Coefficients",
journal = j-FIB-QUART,
volume = "2",
number = "4",
pages = "296--302",
month = dec,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:10 MDT 2011",
bibsource = "http://www.fq.math.ca/2-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-4/torretto.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1964:APSd,
author = "Verner E. {Hoggatt, Jr.}",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "2",
number = "4",
pages = "303--309",
month = dec,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:10 MDT 2011",
bibsource = "http://www.fq.math.ca/2-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-4/advanced2-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brian:1964:PLO,
author = "Richard Brian",
title = "The Problem of the Little Old Lady Trying to Cross the
Busy Street or {Fibonacci} Gained and {Fibonacci}
Relost",
journal = j-FIB-QUART,
volume = "2",
number = "4",
pages = "310--313",
month = dec,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:10 MDT 2011",
bibsource = "http://www.fq.math.ca/2-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-4/brian.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Swensen:1964:AFN,
author = "Ben L. Swensen",
title = "Application of {Fibonacci} Numbers to Solutions of
Systems of Linear Equations",
journal = j-FIB-QUART,
volume = "2",
number = "4",
pages = "314--316",
month = dec,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:10 MDT 2011",
bibsource = "http://www.fq.math.ca/2-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-4/swensen.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Sharpe:1964:FPN,
author = "B. B. Sharpe",
title = "A {Fibonacci} --- Prime Number Relation",
journal = j-FIB-QUART,
volume = "2",
number = "4",
pages = "317--??",
month = dec,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:10 MDT 2011",
bibsource = "http://www.fq.math.ca/2-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-4/sharpe.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Alfred:1964:EGA,
author = "Brother U. Alfred",
title = "Exploring Geometric--Algebraic {Fibonacci} Patterns",
journal = j-FIB-QUART,
volume = "2",
number = "4",
pages = "318--319",
month = dec,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:10 MDT 2011",
bibsource = "http://www.fq.math.ca/2-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-4/alfred2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Faulconbridge:1964:FSE,
author = "Albert J. Faulconbridge",
title = "{Fibonacci} Summation Economics {Part I}",
journal = j-FIB-QUART,
volume = "2",
number = "4",
pages = "320--322",
month = dec,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:10 MDT 2011",
bibsource = "http://www.fq.math.ca/2-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-4/faulconbridge.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1964:EPSd,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "2",
number = "4",
pages = "323--330",
month = dec,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:10 MDT 2011",
bibsource = "http://www.fq.math.ca/2-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-4/elementary2-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1964:VI,
author = "Anonymous",
title = "Volume Index",
journal = j-FIB-QUART,
volume = "2",
number = "4",
pages = "331--??",
month = dec,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:10 MDT 2011",
bibsource = "http://www.fq.math.ca/2-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-4/index.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brown:1965:NCF,
author = "J. L. {Brown, Jr.}",
title = "A New Characterization of the {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "3",
number = "1",
pages = "1--8",
month = feb,
year = "1965",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:38 MDT 2011",
bibsource = "http://www.fq.math.ca/3-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/3-1/brown.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Klarner:1965:SRC,
author = "David A. Klarner",
title = "Some Results Concerning Polyominoes",
journal = j-FIB-QUART,
volume = "3",
number = "1",
pages = "9--20",
month = feb,
year = "1965",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:38 MDT 2011",
bibsource = "http://www.fq.math.ca/3-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/3-1/klarner.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ferns:1965:RIS,
author = "H. H. Ferns",
title = "On the Representation of Integers as Sums of Distinct
{Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "3",
number = "1",
pages = "21--30",
month = feb,
year = "1965",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:38 MDT 2011",
bibsource = "http://www.fq.math.ca/3-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/3-1/ferns.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Halton:1965:GFI,
author = "John H. Halton",
title = "On a General {Fibonacci} Identity",
journal = j-FIB-QUART,
volume = "3",
number = "1",
pages = "31--43",
month = feb,
year = "1965",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:38 MDT 2011",
bibsource = "http://www.fq.math.ca/3-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/3-1/halton.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1965:APSa,
author = "Verner E. {Hoggatt, Jr.}",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "3",
number = "1",
pages = "44--52",
month = feb,
year = "1965",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:38 MDT 2011",
bibsource = "http://www.fq.math.ca/3-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/3-1/advanced3-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Alfred:1965:MML,
author = "Brother U. Alfred",
title = "Math Morals (a Limerick)",
journal = j-FIB-QUART,
volume = "3",
number = "1",
pages = "53--??",
month = feb,
year = "1965",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:38 MDT 2011",
bibsource = "http://www.fq.math.ca/3-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/3-1/alfred1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Tadlock:1965:PO,
author = "Sheryl B. Tadlock",
title = "Products of Odds",
journal = j-FIB-QUART,
volume = "3",
number = "1",
pages = "54--56",
month = feb,
year = "1965",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:38 MDT 2011",
bibsource = "http://www.fq.math.ca/3-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/3-1/tadlock.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Peck:1965:ESF,
author = "C. B. A. Peck",
title = "Exploring Scalene {Fibonacci} Polygons",
journal = j-FIB-QUART,
volume = "3",
number = "1",
pages = "57--58",
month = feb,
year = "1965",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:38 MDT 2011",
bibsource = "http://www.fq.math.ca/3-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/3-1/peck.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Alfred:1965:NTO,
author = "Brother U. Alfred",
title = "Note on Third Order Determinants",
journal = j-FIB-QUART,
volume = "3",
number = "1",
pages = "59--60",
month = feb,
year = "1965",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:38 MDT 2011",
bibsource = "http://www.fq.math.ca/3-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/3-1/alfred2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Pond:1965:MFN,
author = "Jeremy C. Pond and Donald F. Howells",
title = "More on {Fibonacci Nim}",
journal = j-FIB-QUART,
volume = "3",
number = "1",
pages = "61--62",
month = feb,
year = "1965",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:38 MDT 2011",
bibsource = "http://www.fq.math.ca/3-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/3-1/pond.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Sharpe:1965:S,
author = "Benjamin Sharpe",
title = "On Sums {$ F_x^2 \pm F_y^2 $}",
journal = j-FIB-QUART,
volume = "3",
number = "1",
pages = "63--??",
month = feb,
year = "1965",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:38 MDT 2011",
bibsource = "http://www.fq.math.ca/3-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/3-1/sharpe.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Karchmar:1965:P,
author = "E. J. Karchmar",
title = "Phyllotaxis",
journal = j-FIB-QUART,
volume = "3",
number = "1",
pages = "64--65",
month = feb,
year = "1965",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:38 MDT 2011",
bibsource = "http://www.fq.math.ca/3-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/3-1/karchmar.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1965:Ca,
author = "Anonymous",
title = "Corrections",
journal = j-FIB-QUART,
volume = "3",
number = "1",
pages = "66--??",
month = feb,
year = "1965",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:38 MDT 2011",
bibsource = "http://www.fq.math.ca/3-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/3-1/corrections.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bicknell:1965:FFS,
author = "Marjorie Bicknell",
title = "{Fibonacci} Fantasy: The Square Root of the {$Q$}
Matrix",
journal = j-FIB-QUART,
volume = "3",
number = "1",
pages = "67--70",
month = feb,
year = "1965",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:38 MDT 2011",
bibsource = "http://www.fq.math.ca/3-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/3-1/bicknell.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Naor:1965:LE,
author = "P. Naor",
title = "Letter to the Editor",
journal = j-FIB-QUART,
volume = "3",
number = "1",
pages = "71--73",
month = feb,
year = "1965",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:38 MDT 2011",
bibsource = "http://www.fq.math.ca/3-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/3-1/naor.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1965:EPSa,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "3",
number = "1",
pages = "74--80",
month = feb,
year = "1965",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:38 MDT 2011",
bibsource = "http://www.fq.math.ca/3-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/3-1/elementary3-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1965:CPC,
author = "L. Carlitz",
title = "The Characteristic Polynomial of a Certain Matrix of
Binomial Coefficients",
journal = j-FIB-QUART,
volume = "3",
number = "2",
pages = "81--89",
month = apr,
year = "1965",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:40 MDT 2011",
bibsource = "http://www.fq.math.ca/3-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/3-2/carlitz.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Trigg:1965:ROT,
author = "Charles W. Trigg",
title = "A Recursive Operation on Two-Digit Integers",
journal = j-FIB-QUART,
volume = "3",
number = "2",
pages = "90--??",
month = apr,
year = "1965",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:40 MDT 2011",
bibsource = "http://www.fq.math.ca/3-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/3-2/trigg.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1965:CPG,
author = "V. E. {Hoggatt, Jr.} and A. P. Hillman",
title = "The Characteristic Polynomial of the Generalized Shift
Matrix",
journal = j-FIB-QUART,
volume = "3",
number = "2",
pages = "91--94",
month = apr,
year = "1965",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:40 MDT 2011",
bibsource = "http://www.fq.math.ca/3-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/3-2/hoggatt.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Tauber:1965:SFM,
author = "Selmo Tauber",
title = "Summation Formulae for Multinomial Coefficients",
journal = j-FIB-QUART,
volume = "3",
number = "2",
pages = "95--100",
month = apr,
year = "1965",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:40 MDT 2011",
bibsource = "http://www.fq.math.ca/3-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/3-2/tauber.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Byrd:1965:EAF,
author = "Paul F. Byrd",
title = "Expansion of Analytic Functions in Terms Involving
{Lucas} Numbers or Similar Number Sequences",
journal = j-FIB-QUART,
volume = "3",
number = "2",
pages = "101--113",
month = apr,
year = "1965",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:40 MDT 2011",
bibsource = "http://www.fq.math.ca/3-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/3-2/byrd.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1965:Cb,
author = "Anonymous",
title = "Correction",
journal = j-FIB-QUART,
volume = "3",
number = "2",
pages = "114--??",
month = apr,
year = "1965",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:40 MDT 2011",
bibsource = "http://www.fq.math.ca/3-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/3-2/correction.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1965:APSb,
author = "Verner E. {Hoggatt, Jr.}",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "3",
number = "2",
pages = "115--128",
month = apr,
year = "1965",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:40 MDT 2011",
bibsource = "http://www.fq.math.ca/3-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/3-2/advanced3-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Alfred:1965:SLG,
author = "Brother U. Alfred",
title = "Seeking the Lost Gold Mine or Exploring for
{Fibonacci} Factorizations",
journal = j-FIB-QUART,
volume = "3",
number = "2",
pages = "129--130",
month = apr,
year = "1965",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:40 MDT 2011",
bibsource = "http://www.fq.math.ca/3-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/3-2/alfred1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Winthrop:1965:TGC,
author = "Henry Winthrop",
title = "Time Generated Compositions Yield {Fibonacci}
Numbers",
journal = j-FIB-QUART,
volume = "3",
number = "2",
pages = "131--134",
month = apr,
year = "1965",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:40 MDT 2011",
bibsource = "http://www.fq.math.ca/3-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/3-2/winthrop-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Holt:1965:MPP,
author = "Marvin H. Holt",
title = "Mystery Puzzler and Phi",
journal = j-FIB-QUART,
volume = "3",
number = "2",
pages = "135--138",
month = apr,
year = "1965",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:40 MDT 2011",
bibsource = "http://www.fq.math.ca/3-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/3-2/holt.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Arkin:1965:LNA,
author = "Joseph Arkin",
title = "Ladder Network Analysis Using Polynomials",
journal = j-FIB-QUART,
volume = "3",
number = "2",
pages = "139--142",
month = apr,
year = "1965",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:40 MDT 2011",
bibsource = "http://www.fq.math.ca/3-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/3-2/arkin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Stocks:1965:CLP,
author = "Douglas R. {Stocks, Jr.}",
title = "Concerning Lattice Paths and {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "3",
number = "2",
pages = "143--145",
month = apr,
year = "1965",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:40 MDT 2011",
bibsource = "http://www.fq.math.ca/3-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/3-2/stocks.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brown:1965:REF,
author = "John L. {Brown, Jr.}",
title = "Reply to Exploring {Fibonacci} Magic Squares",
journal = j-FIB-QUART,
volume = "3",
number = "2",
pages = "146--??",
month = apr,
year = "1965",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:40 MDT 2011",
bibsource = "http://www.fq.math.ca/3-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/3-2/brown.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Halsey:1965:FNW,
author = "Eric Halsey",
title = "The {Fibonacci} Number $ {F}_u $ where $u$ is not an
Integer",
journal = j-FIB-QUART,
volume = "3",
number = "2",
pages = "147--152",
month = apr,
year = "1965",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:40 MDT 2011",
bibsource = "http://www.fq.math.ca/3-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/3-2/halsey.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1965:EPSb,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "3",
number = "2",
pages = "153--159",
month = apr,
year = "1965",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:40 MDT 2011",
bibsource = "http://www.fq.math.ca/3-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/3-2/elementary3-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1965:AC,
author = "Anonymous",
title = "Acknowledgments and Corrections",
journal = j-FIB-QUART,
volume = "3",
number = "2",
pages = "160--??",
month = apr,
year = "1965",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:40 MDT 2011",
bibsource = "http://www.fq.math.ca/3-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/3-2/acknowledgments.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:1965:BPC,
author = "A. F. Horadam",
title = "Basic Properties of a Certain Generalized Sequence of
Numbers",
journal = j-FIB-QUART,
volume = "3",
number = "3",
pages = "161--176",
month = oct,
year = "1965",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:42 MDT 2011",
bibsource = "http://www.fq.math.ca/3-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/3-3/horadam.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gould:1965:NFN,
author = "H. W. Gould",
title = "Non-{Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "3",
number = "3",
pages = "177--183",
month = oct,
year = "1965",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:42 MDT 2011",
bibsource = "http://www.fq.math.ca/3-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/3-3/gould.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1965:Cc,
author = "Anonymous",
title = "Corrections",
journal = j-FIB-QUART,
volume = "3",
number = "3",
pages = "184--??",
month = oct,
year = "1965",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:42 MDT 2011",
bibsource = "http://www.fq.math.ca/3-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/3-3/corrections.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Thoro:1965:TFC,
author = "Dmitri Thoro",
title = "Two {Fibonacci} Conjectures",
journal = j-FIB-QUART,
volume = "3",
number = "3",
pages = "184--186",
month = oct,
year = "1965",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:42 MDT 2011",
bibsource = "http://www.fq.math.ca/3-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/3-3/thoro.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ely:1965:FF,
author = "Robert B. {Ely III}",
title = "{Fibonaccious} Factors",
journal = j-FIB-QUART,
volume = "3",
number = "3",
pages = "187--198",
month = oct,
year = "1965",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:42 MDT 2011",
bibsource = "http://www.fq.math.ca/3-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/3-3/ely.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Buschman:1965:GFF,
author = "R. G. Buschman",
title = "A Generating Function for {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "3",
number = "3",
pages = "199--200",
month = oct,
year = "1965",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:42 MDT 2011",
bibsource = "http://www.fq.math.ca/3-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/3-3/buschman.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1965:APSc,
author = "Verner E. {Hoggatt, Jr.}",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "3",
number = "3",
pages = "201--207",
month = oct,
year = "1965",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:42 MDT 2011",
bibsource = "http://www.fq.math.ca/3-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/3-3/advanced3-3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wlodarski:1965:FNM,
author = "J. Wlodarski",
title = "The {Fibonacci} Numbers and the ``Magic'' Numbers",
journal = j-FIB-QUART,
volume = "3",
number = "3",
pages = "208--??",
month = oct,
year = "1965",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:42 MDT 2011",
bibsource = "http://www.fq.math.ca/3-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/3-3/wlodarski.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Mead:1965:EMS,
author = "D. G. Mead",
title = "An Elementary Method of Summation",
journal = j-FIB-QUART,
volume = "3",
number = "3",
pages = "209--213",
month = oct,
year = "1965",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:42 MDT 2011",
bibsource = "http://www.fq.math.ca/3-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/3-3/mead.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Harris:1965:IIF,
author = "V. C. Harris",
title = "On Identities Involving {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "3",
number = "3",
pages = "214--218",
month = oct,
year = "1965",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:42 MDT 2011",
bibsource = "http://www.fq.math.ca/3-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/3-3/harris.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kelisky:1965:CEA,
author = "R. P. Kelisky",
title = "Concerning the {Euclidean} Algorithm",
journal = j-FIB-QUART,
volume = "3",
number = "3",
pages = "219--223",
month = oct,
year = "1965",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:42 MDT 2011",
bibsource = "http://www.fq.math.ca/3-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/3-3/kelisky.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Alfred:1965:SMS,
author = "Brother U. Alfred",
title = "A Strip Method of Summing Linear {Fibonacci}
Expressions",
journal = j-FIB-QUART,
volume = "3",
number = "3",
pages = "224--226",
month = oct,
year = "1965",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:42 MDT 2011",
bibsource = "http://www.fq.math.ca/3-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/3-3/alfred.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bicknell:1965:NGR,
author = "Marjorie Bicknell and James Leissner",
title = "A Near-golden Rectangle and Related Recursive Series",
journal = j-FIB-QUART,
volume = "3",
number = "3",
pages = "227--231",
month = oct,
year = "1965",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:42 MDT 2011",
bibsource = "http://www.fq.math.ca/3-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/3-3/bicknell.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Dresel:1965:FFN,
author = "L. A. G. Dresel and D. E. Daykin",
title = "Factorization of 36 {Fibonacci} Numbers {$ F_n $} with
$ n > 100 $",
journal = j-FIB-QUART,
volume = "3",
number = "3",
pages = "232--??",
month = oct,
year = "1965",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:42 MDT 2011",
bibsource = "http://www.fq.math.ca/3-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/3-3/dresel.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Halsey:1965:LE,
author = "Eric Halsey",
title = "Letter to the Editor",
journal = j-FIB-QUART,
volume = "3",
number = "3",
pages = "233--??",
month = oct,
year = "1965",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:42 MDT 2011",
bibsource = "http://www.fq.math.ca/3-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/3-3/halsey.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Winthrop:1965:CTG,
author = "Henry Winthrop",
title = "Comments on {``Time Generated, Compositions Yield
Fibonacci Numbers''}",
journal = j-FIB-QUART,
volume = "3",
number = "3",
pages = "234--??",
month = oct,
year = "1965",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:42 MDT 2011",
bibsource = "http://www.fq.math.ca/3-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/3-3/winthrop-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1965:EPSc,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "3",
number = "3",
pages = "235--240",
month = oct,
year = "1965",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:42 MDT 2011",
bibsource = "http://www.fq.math.ca/3-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/3-3/elementary3-3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Zeitlin:1965:PIS,
author = "David Zeitlin",
title = "Power Identities for Sequences Defined by {$ W_{n + 2}
= d W_{n + 1} - d W_n $}",
journal = j-FIB-QUART,
volume = "3",
number = "4",
pages = "241--256",
month = dec,
year = "1965",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:44 MDT 2011",
bibsource = "http://www.fq.math.ca/3-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/3-4/zeitlin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1965:O,
author = "Anonymous",
title = "Omission",
journal = j-FIB-QUART,
volume = "3",
number = "4",
pages = "257--??",
month = dec,
year = "1965",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:44 MDT 2011",
bibsource = "http://www.fq.math.ca/3-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/3-4/omission.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gould:1965:VPT,
author = "H. W. Gould",
title = "A Variant of {Pascal}'s Triangle",
journal = j-FIB-QUART,
volume = "3",
number = "4",
pages = "257--271",
month = dec,
year = "1965",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:44 MDT 2011",
bibsource = "http://www.fq.math.ca/3-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/3-4/gould.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kolodner:1965:GFA,
author = "I. I. Kolodner",
title = "On a Generating Function Associated with Generalized
{Fibonacci} Sequences",
journal = j-FIB-QUART,
volume = "3",
number = "4",
pages = "272--278",
month = dec,
year = "1965",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:44 MDT 2011",
bibsource = "http://www.fq.math.ca/3-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/3-4/kolodner.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Skees:1965:PPC,
author = "W. D. Skees",
title = "A Permutative Property of Certain Multiples of the
Natural Numbers",
journal = j-FIB-QUART,
volume = "3",
number = "4",
pages = "279--291",
month = dec,
year = "1965",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:44 MDT 2011",
bibsource = "http://www.fq.math.ca/3-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/3-4/skees.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lind:1965:CNB,
author = "D. A. Lind",
title = "On a Class of Nonlinear Binomial Sums",
journal = j-FIB-QUART,
volume = "3",
number = "4",
pages = "292--298",
month = dec,
year = "1965",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:44 MDT 2011",
bibsource = "http://www.fq.math.ca/3-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/3-4/lind.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1965:APSd,
author = "Verner E. {Hoggatt, Jr.}",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "3",
number = "4",
pages = "299--303",
month = dec,
year = "1965",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:44 MDT 2011",
bibsource = "http://www.fq.math.ca/3-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/3-4/advanced3-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bridger:1965:CFC,
author = "Clyde A. Bridger and Marjorie Bicknell",
title = "Continued Fraction Convergents as a Source of
{Fibonacci} and {Lucas} Identities",
journal = j-FIB-QUART,
volume = "3",
number = "4",
pages = "304--308",
month = dec,
year = "1965",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:44 MDT 2011",
bibsource = "http://www.fq.math.ca/3-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/3-4/bridger.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Faulconbridge:1965:FSE,
author = "Albert J. Faulconbridge",
title = "{Fibonacci} Summation Economics {Part II}",
journal = j-FIB-QUART,
volume = "3",
number = "4",
pages = "309--314",
month = dec,
year = "1965",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:44 MDT 2011",
bibsource = "http://www.fq.math.ca/3-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/3-4/faulconbridge.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Jordan:1965:GFL,
author = "J. H. Jordan",
title = "{Gaussian} {Fibonacci} and {Lucas} Numbers",
journal = j-FIB-QUART,
volume = "3",
number = "4",
pages = "315--318",
month = dec,
year = "1965",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:44 MDT 2011",
bibsource = "http://www.fq.math.ca/3-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/3-4/jordan.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Alfred:1965:EGF,
author = "Brother U. Alfred",
title = "Exploring Generalized {Fibonacci--Lucas} Relations",
journal = j-FIB-QUART,
volume = "3",
number = "4",
pages = "319--320",
month = dec,
year = "1965",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:44 MDT 2011",
bibsource = "http://www.fq.math.ca/3-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/3-4/alfred.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Halton:1965:NFS,
author = "John H. Halton",
title = "A Note on {Fibonacci} Subsequences",
journal = j-FIB-QUART,
volume = "3",
number = "4",
pages = "321--322",
month = dec,
year = "1965",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:44 MDT 2011",
bibsource = "http://www.fq.math.ca/3-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/3-4/halton.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1965:EPSd,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "3",
number = "4",
pages = "323--329",
month = dec,
year = "1965",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:44 MDT 2011",
bibsource = "http://www.fq.math.ca/3-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/3-4/elementary3-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Naysmith:1965:OA,
author = "Betty Naysmith",
title = "Op Art",
journal = j-FIB-QUART,
volume = "3",
number = "4",
pages = "330--??",
month = dec,
year = "1965",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:44 MDT 2011",
bibsource = "http://www.fq.math.ca/3-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/3-4/naysmith.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1965:VI,
author = "Anonymous",
title = "Volume Index",
journal = j-FIB-QUART,
volume = "3",
number = "4",
pages = "331--??",
month = dec,
year = "1965",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:44 MDT 2011",
bibsource = "http://www.fq.math.ca/3-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/3-4/index.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Holladay:1966:SCR,
author = "John C. Holladay",
title = "Some Convergent Recursive Sequences, Homeomorphic
Identities, and Inductively Defined Complementary
Sequences",
journal = j-FIB-QUART,
volume = "4",
number = "1",
pages = "1--36",
month = feb,
year = "1966",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:22 MDT 2011",
bibsource = "http://www.fq.math.ca/4-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "See corrigendum \cite{Holladay:1966:CSC}.",
URL = "http://www.fq.math.ca/Scanned/4-1/holladay.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1966:ERR,
author = "Raymond E. Whitney",
title = "Extensions of Recurrence Relations",
journal = j-FIB-QUART,
volume = "4",
number = "1",
pages = "37--42",
month = feb,
year = "1966",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:22 MDT 2011",
bibsource = "http://www.fq.math.ca/4-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/4-1/whitney.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1966:SOP,
author = "L. Carlitz",
title = "Some Orthogonal Polynomials Related to {Fibonacci}
Numbers",
journal = j-FIB-QUART,
volume = "4",
number = "1",
pages = "43--48",
month = feb,
year = "1966",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:22 MDT 2011",
bibsource = "http://www.fq.math.ca/4-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/4-1/carlitz.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ahuja:1966:NOP,
author = "J. C. Ahuja and S. W. Nash",
title = "A Note on Orthogonal Polynomials",
journal = j-FIB-QUART,
volume = "4",
number = "1",
pages = "49--55",
month = feb,
year = "1966",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:22 MDT 2011",
bibsource = "http://www.fq.math.ca/4-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/4-1/ahuja.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1966:APSa,
author = "Verner E. {Hoggatt, Jr.}",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "4",
number = "1",
pages = "56--58",
month = feb,
year = "1966",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:22 MDT 2011",
bibsource = "http://www.fq.math.ca/4-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/4-1/advanced4-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gould:1966:FCPa,
author = "H. W. Gould",
title = "A {Fibonacci} Crossword Puzzle",
journal = j-FIB-QUART,
volume = "4",
number = "1",
pages = "59--62",
month = feb,
year = "1966",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:22 MDT 2011",
bibsource = "http://www.fq.math.ca/4-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/4-1/gould.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Emerson:1966:ISE,
author = "Edgar I. Emerson",
title = "On the Integer Solution of the Equation $ 5 x^2 + 6 x
+ 1 = y^2 $ and Some Related Observations",
journal = j-FIB-QUART,
volume = "4",
number = "1",
pages = "63--69",
month = feb,
year = "1966",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:22 MDT 2011",
bibsource = "http://www.fq.math.ca/4-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/4-1/emerson.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Beard:1966:SG,
author = "R. S. Beard",
title = "Star Geometry",
journal = j-FIB-QUART,
volume = "4",
number = "1",
pages = "70--72",
month = feb,
year = "1966",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:22 MDT 2011",
bibsource = "http://www.fq.math.ca/4-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/4-1/beard.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Swamy:1966:PPD,
author = "M. N. S. Swamy",
title = "Properties of the Polynomials Defined by
{Morgan--Voyce}",
journal = j-FIB-QUART,
volume = "4",
number = "1",
pages = "73--81",
month = feb,
year = "1966",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:22 MDT 2011",
bibsource = "http://www.fq.math.ca/4-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/4-1/swamy.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hunter:1966:PNE,
author = "J. A. H. Hunter",
title = "Perfect Number ``Endings''",
journal = j-FIB-QUART,
volume = "4",
number = "1",
pages = "82--??",
month = feb,
year = "1966",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:22 MDT 2011",
bibsource = "http://www.fq.math.ca/4-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/4-1/hunter.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Weinstein:1966:DPF,
author = "Lenard Weinstein",
title = "A Divisibility Property of {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "4",
number = "1",
pages = "83--84",
month = feb,
year = "1966",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:22 MDT 2011",
bibsource = "http://www.fq.math.ca/4-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/4-1/weinstein1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Federighi:1966:LE,
author = "Enrico T. Federighi and Ronald G. Roll",
title = "A Letter to the Editor",
journal = j-FIB-QUART,
volume = "4",
number = "1",
pages = "85--87",
month = feb,
year = "1966",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:22 MDT 2011",
bibsource = "http://www.fq.math.ca/4-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/4-1/federighi.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Weinstein:1966:LE,
author = "Lenard Weinstein",
title = "Letter to the Editor",
journal = j-FIB-QUART,
volume = "4",
number = "1",
pages = "88--??",
month = feb,
year = "1966",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:22 MDT 2011",
bibsource = "http://www.fq.math.ca/4-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/4-1/weinstein2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Deily:1966:LFF,
author = "Gerard R. Deily",
title = "A Logarithmic Formula for {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "4",
number = "1",
pages = "89--??",
month = feb,
year = "1966",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:22 MDT 2011",
bibsource = "http://www.fq.math.ca/4-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/4-1/deily.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1966:EPSa,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "4",
number = "1",
pages = "90--96",
month = feb,
year = "1966",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:22 MDT 2011",
bibsource = "http://www.fq.math.ca/4-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/4-1/elementary4-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cashwell:1966:FS,
author = "F. D. Cashwell and C. J. Everett",
title = "{Fibonacci} Spaces",
journal = j-FIB-QUART,
volume = "4",
number = "2",
pages = "97--115",
month = apr,
year = "1966",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:24 MDT 2011",
bibsource = "http://www.fq.math.ca/4-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/4-2/cashwell.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Layman:1966:RPS,
author = "J. W. Layman",
title = "Relatively Prime Sequence Solutions of Non-linear
Difference Equations",
journal = j-FIB-QUART,
volume = "4",
number = "2",
pages = "116--??",
month = apr,
year = "1966",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:24 MDT 2011",
bibsource = "http://www.fq.math.ca/4-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/4-2/layman-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Knuth:1966:ALR,
author = "Donald E. Knuth",
title = "An Almost Linear Recurrence",
journal = j-FIB-QUART,
volume = "4",
number = "2",
pages = "117--128",
month = apr,
year = "1966",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
MRclass = "10.61 (10.48)",
MRnumber = "33 #7317",
MRreviewer = "T. M. Apostol",
bibdate = "Thu Oct 20 18:03:24 MDT 2011",
bibsource = "http://www.fq.math.ca/4-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "See correction \cite{Knuth:1966:CAL}.",
URL = "http://www.fq.math.ca/Scanned/4-2/knuth.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1966:SDC,
author = "L. Carlitz",
title = "Some Determinants Containing Powers of {Fibonacci}
Numbers",
journal = j-FIB-QUART,
volume = "4",
number = "2",
pages = "129--134",
month = apr,
year = "1966",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:24 MDT 2011",
bibsource = "http://www.fq.math.ca/4-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/4-2/carlitz.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lehmer:1966:QCF,
author = "E. Lehmer",
title = "On the Quadratic Character of the {Fibonacci} Root",
journal = j-FIB-QUART,
volume = "4",
number = "2",
pages = "135--138",
month = apr,
year = "1966",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:24 MDT 2011",
bibsource = "http://www.fq.math.ca/4-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/4-2/lehmer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Styles:1966:ECC,
author = "C. C. Styles",
title = "On Evaluating Certain Coefficients",
journal = j-FIB-QUART,
volume = "4",
number = "2",
pages = "139--147",
month = apr,
year = "1966",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:24 MDT 2011",
bibsource = "http://www.fq.math.ca/4-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/4-2/styles.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1966:APSb,
author = "Verner E. {Hoggatt, Jr.}",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "4",
number = "2",
pages = "148--149",
month = apr,
year = "1966",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:24 MDT 2011",
bibsource = "http://www.fq.math.ca/4-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/4-2/advanced4-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gould:1966:FCPb,
author = "H. W. Gould",
title = "A {Fibonacci} Crossword Puzzle",
journal = j-FIB-QUART,
volume = "4",
number = "2",
pages = "150--??",
month = apr,
year = "1966",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:24 MDT 2011",
bibsource = "http://www.fq.math.ca/4-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/4-2/gould.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Deily:1966:TDC,
author = "G. R. Deily",
title = "Terminal Digit Coincidences Between {Fibonacci}
Numbers and Their Indices",
journal = j-FIB-QUART,
volume = "4",
number = "2",
pages = "151--156",
month = apr,
year = "1966",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:24 MDT 2011",
bibsource = "http://www.fq.math.ca/4-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/4-2/deily.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Berg:1966:PGR,
author = "M. Berg",
title = "Phi, the Golden Ratio (to 4599 Decimal Places), and
{Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "4",
number = "2",
pages = "157--162",
month = apr,
year = "1966",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:24 MDT 2011",
bibsource = "http://www.fq.math.ca/4-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/4-2/berg.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Beard:1966:PGS,
author = "R. S. Beard",
title = "Powers of the Golden Section",
journal = j-FIB-QUART,
volume = "4",
number = "2",
pages = "163--167",
month = apr,
year = "1966",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:24 MDT 2011",
bibsource = "http://www.fq.math.ca/4-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/4-2/beard.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horner:1966:FE,
author = "W. W. Horner",
title = "{Fibonacci} and {Euclid}",
journal = j-FIB-QUART,
volume = "4",
number = "2",
pages = "168--169",
month = apr,
year = "1966",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:24 MDT 2011",
bibsource = "http://www.fq.math.ca/4-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/4-2/horner.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Draim:1966:SPR,
author = "N. A. Draim and Marjorie Bicknell",
title = "Sums of $n$-th Powers of Roots of a Given Quadratic
Equation",
journal = j-FIB-QUART,
volume = "4",
number = "2",
pages = "170--178",
month = apr,
year = "1966",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:24 MDT 2011",
bibsource = "http://www.fq.math.ca/4-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/4-2/draim.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Klarner:1966:DIT,
author = "D. A. Klarner",
title = "Determinants Involving {$K$ th} Powers from Second
Order Sequences",
journal = j-FIB-QUART,
volume = "4",
number = "2",
pages = "179--183",
month = apr,
year = "1966",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:24 MDT 2011",
bibsource = "http://www.fq.math.ca/4-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/4-2/klarner.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gillespie:1966:GLP,
author = "F. S. Gillespie and W. R. Utz",
title = "A Generalized {Langford} Problem",
journal = j-FIB-QUART,
volume = "4",
number = "2",
pages = "184--186",
month = apr,
year = "1966",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:24 MDT 2011",
bibsource = "http://www.fq.math.ca/4-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/4-2/gillespie.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Foster:1966:LBM,
author = "B. L. Foster",
title = "A Lower Bound for Maximum Zero-one Determinants",
journal = j-FIB-QUART,
volume = "4",
number = "2",
pages = "187--189",
month = apr,
year = "1966",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:24 MDT 2011",
bibsource = "http://www.fq.math.ca/4-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/4-2/foster.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1966:EPSb,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "4",
number = "2",
pages = "190--192",
month = apr,
year = "1966",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:24 MDT 2011",
bibsource = "http://www.fq.math.ca/4-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/4-2/elementary4-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Fridy:1966:GBR,
author = "J. A. Fridy",
title = "Gerneralized Bases for the Real Numbers",
journal = j-FIB-QUART,
volume = "4",
number = "3",
pages = "193--200",
month = oct,
year = "1966",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:26 MDT 2011",
bibsource = "http://www.fq.math.ca/4-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/4-3/fridy.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1966:Aa,
author = "Anonymous",
title = "Announcement",
journal = j-FIB-QUART,
volume = "4",
number = "3",
pages = "201--??",
month = oct,
year = "1966",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:26 MDT 2011",
bibsource = "http://www.fq.math.ca/4-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/4-3/announcement1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Jentsch:1966:PDE,
author = "W. Jentsch",
title = "On a Partial Difference Equation of {L. Carlitz}",
journal = j-FIB-QUART,
volume = "4",
number = "3",
pages = "202--207",
month = oct,
year = "1966",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:26 MDT 2011",
bibsource = "http://www.fq.math.ca/4-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/4-3/jentsch.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brousseau:1966:BRB,
author = "Brother Alfred Brousseau",
title = "Book Review: {{\booktitle{Recurring Sequences}}, by
Dov Jarden}",
journal = j-FIB-QUART,
volume = "4",
number = "3",
pages = "208--??",
month = oct,
year = "1966",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:26 MDT 2011",
bibsource = "http://www.fq.math.ca/4-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "See \cite{Jarden:1966:RSC}.",
URL = "http://www.fq.math.ca/Scanned/4-3/review1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Fielder:1966:EPS,
author = "Daniel C. Fielder",
title = "Enumeration of Partitions Subject to Limitations on
Size of Members",
journal = j-FIB-QUART,
volume = "4",
number = "3",
pages = "209--215",
month = oct,
year = "1966",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:26 MDT 2011",
bibsource = "http://www.fq.math.ca/4-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/4-3/fielder.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1966:Ab,
author = "Anonymous",
title = "Announcement",
journal = j-FIB-QUART,
volume = "4",
number = "3",
pages = "216--??",
month = oct,
year = "1966",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:26 MDT 2011",
bibsource = "http://www.fq.math.ca/4-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/4-3/announcement2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Halton:1966:DPF,
author = "John H. Halton",
title = "On the Divisibility Properties of {Fibonacci}
Numbers",
journal = j-FIB-QUART,
volume = "4",
number = "3",
pages = "217--240",
month = oct,
year = "1966",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:26 MDT 2011",
bibsource = "http://www.fq.math.ca/4-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/4-3/halton.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Harris:1966:GFS,
author = "V. C. Harris and Carolyn C. Styles",
title = "Generalized {Fibonacci} Sequences Associated with a
Generalized {Pascal} Triangle",
journal = j-FIB-QUART,
volume = "4",
number = "3",
pages = "241--248",
month = oct,
year = "1966",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:26 MDT 2011",
bibsource = "http://www.fq.math.ca/4-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/4-3/harris.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Holladay:1966:CSC,
author = "John C. Holladay",
title = "Corrigendum for {``Some Convergent Recursive
Sequences, Homomorphic Identities, and Inductively
Defined Complementary Sequences''}",
journal = j-FIB-QUART,
volume = "4",
number = "3",
pages = "249--250",
month = oct,
year = "1966",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:26 MDT 2011",
bibsource = "http://www.fq.math.ca/4-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "See \cite{Holladay:1966:SCR}.",
URL = "http://www.fq.math.ca/Scanned/4-3/holladay.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1966:APSc,
author = "Verner E. {Hoggatt, Jr.}",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "4",
number = "3",
pages = "251--258",
month = oct,
year = "1966",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:26 MDT 2011",
bibsource = "http://www.fq.math.ca/4-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/4-3/advanced4-3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{McKnight:1966:SFM,
author = "Curtis McKnight and Dean Priest",
title = "A Singular {Fibonacci} Matrix and its Related Lambda
Function",
journal = j-FIB-QUART,
volume = "4",
number = "3",
pages = "259--261",
month = oct,
year = "1966",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:26 MDT 2011",
bibsource = "http://www.fq.math.ca/4-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/4-3/mcknight.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Alfred:1966:ESF,
author = "Brother U. Alfred",
title = "Exploring Special {Fibonacci} Relations",
journal = j-FIB-QUART,
volume = "4",
number = "3",
pages = "262--263",
month = oct,
year = "1966",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:26 MDT 2011",
bibsource = "http://www.fq.math.ca/4-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/4-3/alfred.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Alfred:1966:BTP,
author = "Brother U. Alfred",
title = "{{\booktitle{Algebra Through Problem Solving}}} ---
Book Review",
journal = j-FIB-QUART,
volume = "4",
number = "3",
pages = "264--??",
month = oct,
year = "1966",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:26 MDT 2011",
bibsource = "http://www.fq.math.ca/4-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "See \cite{Hillman:1966:ATP}.",
URL = "http://www.fq.math.ca/Scanned/4-3/review2-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Avriel:1966:OPS,
author = "Mordecai Avriel and Douglass J. Wilde",
title = "Optimality Proof for the Symmetric {Fibonacci} Search
Technique",
journal = j-FIB-QUART,
volume = "4",
number = "3",
pages = "265--269",
month = oct,
year = "1966",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:26 MDT 2011",
bibsource = "http://www.fq.math.ca/4-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/4-3/avriel.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ferguson:1966:EGF,
author = "David E. Ferguson",
title = "An Expression for Generalized {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "4",
number = "3",
pages = "270--272",
month = oct,
year = "1966",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:26 MDT 2011",
bibsource = "http://www.fq.math.ca/4-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/4-3/ferguson.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hunter:1966:FA,
author = "J. A. H. Hunter",
title = "{Fibonacci} Again",
journal = j-FIB-QUART,
volume = "4",
number = "3",
pages = "273--??",
month = oct,
year = "1966",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:26 MDT 2011",
bibsource = "http://www.fq.math.ca/4-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/4-3/hunter.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1966:PIS,
author = "V. E. {Hoggatt, Jr.} and D. A. Lind",
title = "A Power Identity for Second-order Recurrent
Sequences",
journal = j-FIB-QUART,
volume = "4",
number = "3",
pages = "274--284",
month = oct,
year = "1966",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:26 MDT 2011",
bibsource = "http://www.fq.math.ca/4-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/4-3/hoggatt.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1966:EPSc,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "4",
number = "3",
pages = "285--288",
month = oct,
year = "1966",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:26 MDT 2011",
bibsource = "http://www.fq.math.ca/4-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/4-3/elementary4-3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Klarner:1966:RSD,
author = "David A. Klarner",
title = "Representation of {$N$} as a Sum of Distinct Elements
from Special Sequences",
journal = j-FIB-QUART,
volume = "4",
number = "4",
pages = "289--306",
month = dec,
year = "1966",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:29 MDT 2011",
bibsource = "http://www.fq.math.ca/4-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/4-4/klarner-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kohlbecker:1966:GMC,
author = "Eugene E. Kohlbecker",
title = "On a Generalization of Multinomial Coefficients for
{Fibonacci} Sequences",
journal = j-FIB-QUART,
volume = "4",
number = "4",
pages = "307--312",
month = dec,
year = "1966",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:29 MDT 2011",
bibsource = "http://www.fq.math.ca/4-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/4-4/kohlbecker.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Backstrom:1966:DZF,
author = "Robert P. Backstrom",
title = "On the Determination of the Zeros of the {Fibonacci}
Sequence",
journal = j-FIB-QUART,
volume = "4",
number = "4",
pages = "313--322",
month = dec,
year = "1966",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:29 MDT 2011",
bibsource = "http://www.fq.math.ca/4-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/4-4/backstrom.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1966:SBC,
author = "L. Carlitz",
title = "Some Binomial Coefficient Identities",
journal = j-FIB-QUART,
volume = "4",
number = "4",
pages = "323--331",
month = dec,
year = "1966",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:29 MDT 2011",
bibsource = "http://www.fq.math.ca/4-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/4-4/carlitz.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1966:APSd,
author = "Verner E. {Hoggatt, Jr.}",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "4",
number = "4",
pages = "332--338",
month = dec,
year = "1966",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:29 MDT 2011",
bibsource = "http://www.fq.math.ca/4-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/4-4/advanced4-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Dunton:1966:FEF,
author = "M. Dunton and R. E. Grimm",
title = "{Fibonacci} on {Egyptian} Fractions",
journal = j-FIB-QUART,
volume = "4",
number = "4",
pages = "339--353",
month = dec,
year = "1966",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:29 MDT 2011",
bibsource = "http://www.fq.math.ca/4-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/4-4/dunton.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Knuth:1966:CAL,
author = "Donald E. Knuth",
title = "Correction: {``An almost linear recurrence''}",
journal = j-FIB-QUART,
volume = "4",
number = "4",
pages = "354--354",
month = dec,
year = "1966",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
MRclass = "10.61",
MRnumber = "34 #5741",
bibdate = "Thu Oct 20 18:03:29 MDT 2011",
bibsource = "http://www.fq.math.ca/4-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "See \cite{Knuth:1966:ALR}.",
URL = "http://www.fq.math.ca/Scanned/4-4/correction.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wessner:1966:BSF,
author = "John Wessner",
title = "Binomial Sums of {Fibonacci} Powers",
journal = j-FIB-QUART,
volume = "4",
number = "4",
pages = "355--358",
month = dec,
year = "1966",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:29 MDT 2011",
bibsource = "http://www.fq.math.ca/4-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/4-4/wessner.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Arkin:1966:NTJ,
author = "Joseph Arkin",
title = "A Note on a Theorem of {Jacobi}",
journal = j-FIB-QUART,
volume = "4",
number = "4",
pages = "359--362",
month = dec,
year = "1966",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:29 MDT 2011",
bibsource = "http://www.fq.math.ca/4-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/4-4/arkin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1966:CRF,
author = "Raymond E. Whitney",
title = "Composition of Recursive Formulae",
journal = j-FIB-QUART,
volume = "4",
number = "4",
pages = "363--366",
month = dec,
year = "1966",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:29 MDT 2011",
bibsource = "http://www.fq.math.ca/4-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/4-4/whitney.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Duncan:1966:NEA,
author = "R. L. Duncan",
title = "Note on the {Euclidean} Algorithm",
journal = j-FIB-QUART,
volume = "4",
number = "4",
pages = "367--368",
month = dec,
year = "1966",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:29 MDT 2011",
bibsource = "http://www.fq.math.ca/4-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/4-4/duncan.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Swamy:1966:MFI,
author = "M. N. S. Swamy",
title = "More {Fibonacci} Identities",
journal = j-FIB-QUART,
volume = "4",
number = "4",
pages = "369--372",
month = dec,
year = "1966",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:29 MDT 2011",
bibsource = "http://www.fq.math.ca/4-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/4-4/swamy.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1966:EPSd,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "4",
number = "4",
pages = "373--378",
month = dec,
year = "1966",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:29 MDT 2011",
bibsource = "http://www.fq.math.ca/4-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/4-4/elementary4-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1966:VI,
author = "Anonymous",
title = "Volume Index",
journal = j-FIB-QUART,
volume = "4",
number = "4",
pages = "379--??",
month = dec,
year = "1966",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:29 MDT 2011",
bibsource = "http://www.fq.math.ca/4-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/4-4/index.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Zeitlin:1967:SFI,
author = "David Zeitlin",
title = "On Summation Formulas and Identities for {Fibonacci}
Numbers",
journal = j-FIB-QUART,
volume = "5",
number = "1",
pages = "1--43",
month = feb,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:50 MDT 2011",
bibsource = "http://www.fq.math.ca/5-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-1/zeitlin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lind:1967:MCG,
author = "D. A. Lind",
title = "The {$Q$} Matrix as a Counterexample in Group Theory",
journal = j-FIB-QUART,
volume = "5",
number = "1",
pages = "44--??",
month = feb,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:50 MDT 2011",
bibsource = "http://www.fq.math.ca/5-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-1/lind1-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ledin:1967:CKF,
author = "George {Ledin, Jr.}",
title = "On a Certain Kind of {Fibonacci} Sums",
journal = j-FIB-QUART,
volume = "5",
number = "1",
pages = "45--58",
month = feb,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:50 MDT 2011",
bibsource = "http://www.fq.math.ca/5-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-1/ledin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Church:1967:LPS,
author = "C. A. {Church, Jr.} and H. W. Gould",
title = "Lattice Point Solution of the Generalized Problem of
{Terquem} and an Extension of {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "5",
number = "1",
pages = "59--68",
month = feb,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:50 MDT 2011",
bibsource = "http://www.fq.math.ca/5-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-1/church.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1967:APSa,
author = "Verner E. {Hoggatt, Jr.}",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "5",
number = "1",
pages = "69--80",
month = feb,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:50 MDT 2011",
bibsource = "http://www.fq.math.ca/5-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-1/advanced5-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Stocks:1967:RIL,
author = "Douglas R. {Stocks, Jr.}",
title = "Relations Involving Lattice Paths and Certain
Sequences of Integers",
journal = j-FIB-QUART,
volume = "5",
number = "1",
pages = "81--86",
month = feb,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:50 MDT 2011",
bibsource = "http://www.fq.math.ca/5-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-1/stocks.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Duncan:1967:CEF,
author = "Dewey C. Duncan",
title = "Chains of Equivalent {Fibonacci}-Wise Triangle",
journal = j-FIB-QUART,
volume = "5",
number = "1",
pages = "87--88",
month = feb,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:50 MDT 2011",
bibsource = "http://www.fq.math.ca/5-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-1/duncan.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lind:1967:IFL,
author = "D. A. Lind",
title = "Iterated {Fibonacci} and {Lucas} Subscripts",
journal = j-FIB-QUART,
volume = "5",
number = "1",
pages = "89--90",
month = feb,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:50 MDT 2011",
bibsource = "http://www.fq.math.ca/5-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-1/lind2-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brousseau:1967:SFD,
author = "Brother Alfred Brousseau",
title = "Summation of {$ \sum_{k = 1}^n k^m F_{k + r} $} Finite
Difference Approach",
journal = j-FIB-QUART,
volume = "5",
number = "1",
pages = "91--98",
month = feb,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:50 MDT 2011",
bibsource = "http://www.fq.math.ca/5-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-1/brousseau.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Feeman:1967:RFL,
author = "G. F. Feeman",
title = "On Ratios of {Fibonacci} and {Lucas} Numbers",
journal = j-FIB-QUART,
volume = "5",
number = "1",
pages = "99--106",
month = feb,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:50 MDT 2011",
bibsource = "http://www.fq.math.ca/5-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-1/feeman.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1967:EPSa,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "5",
number = "1",
pages = "107--112",
month = feb,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:50 MDT 2011",
bibsource = "http://www.fq.math.ca/5-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-1/elementary5-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Long:1967:LAS,
author = "C. T. Long and J. H. Jordan",
title = "A Limited Arithmetic on Simple Continued Fractions",
journal = j-FIB-QUART,
volume = "5",
number = "2",
pages = "113--128",
month = apr,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:52 MDT 2011",
bibsource = "http://www.fq.math.ca/5-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-2/long.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ford:1967:RRS,
author = "Gary G. Ford",
title = "Recurrence Relations for Sequences like {$ F_{F_n}
$}",
journal = j-FIB-QUART,
volume = "5",
number = "2",
pages = "129--136",
month = apr,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:52 MDT 2011",
bibsource = "http://www.fq.math.ca/5-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-2/ford.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Duncan:1967:AUD,
author = "R. L. Duncan",
title = "An Application of Uniform Distributions to the
{Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "5",
number = "2",
pages = "137--140",
month = apr,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:52 MDT 2011",
bibsource = "http://www.fq.math.ca/5-2.html;
https://www.math.utah.edu/pub/tex/bib/benfords-law.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-2/duncan.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1967:HFP,
author = "V. E. {Hoggatt, Jr.} and D. A. Lind",
title = "The Heights of {Fibonacci} Polynomials and an
Associated Function",
journal = j-FIB-QUART,
volume = "5",
number = "2",
pages = "141--152",
month = apr,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:52 MDT 2011",
bibsource = "http://www.fq.math.ca/5-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-2/hoggatt.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brown:1967:LT,
author = "J. L. {Brown, Jr.}",
title = "On {Lam{\'e}}'s Theorem",
journal = j-FIB-QUART,
volume = "5",
number = "2",
pages = "153--160",
month = apr,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:52 MDT 2011",
bibsource = "http://www.fq.math.ca/5-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-2/brown.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1967:APSb,
author = "Verner E. {Hoggatt, Jr.}",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "5",
number = "2",
pages = "161--??",
month = apr,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:52 MDT 2011",
bibsource = "http://www.fq.math.ca/5-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-2/advanced5-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1967:C,
author = "Anonymous",
title = "Corrections",
journal = j-FIB-QUART,
volume = "5",
number = "2",
pages = "162--168",
month = apr,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:52 MDT 2011",
bibsource = "http://www.fq.math.ca/5-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-2/corrections1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brousseau:1967:E,
author = "Brother Alfred Brousseau",
title = "Editorial",
journal = j-FIB-QUART,
volume = "5",
number = "2",
pages = "169--170",
month = apr,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:52 MDT 2011",
bibsource = "http://www.fq.math.ca/5-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-2/editorial.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brousseau:1967:FG,
author = "Brother Alfred Brousseau",
title = "A {Fibonacci} Generalization",
journal = j-FIB-QUART,
volume = "5",
number = "2",
pages = "171--174",
month = apr,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:52 MDT 2011",
bibsource = "http://www.fq.math.ca/5-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-2/brousseau.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Pruitt:1967:FLN,
author = "Robert Pruitt",
title = "{Fibonacci} and {Lucas} Numbers in the Sequence of
Golden Numbers",
journal = j-FIB-QUART,
volume = "5",
number = "2",
pages = "175--178",
month = apr,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:52 MDT 2011",
bibsource = "http://www.fq.math.ca/5-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-2/pruitt.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Neff:1967:MLP,
author = "John D. Neff",
title = "A {Markov} Limit Process Involving {Fibonacci}
Numbers",
journal = j-FIB-QUART,
volume = "5",
number = "2",
pages = "179--182",
month = apr,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:52 MDT 2011",
bibsource = "http://www.fq.math.ca/5-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-2/neff.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lind:1967:ECT,
author = "D. A. Lind",
title = "Extended Computations of Terminal Digit Coincidences",
journal = j-FIB-QUART,
volume = "5",
number = "2",
pages = "183--184",
month = apr,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:52 MDT 2011",
bibsource = "http://www.fq.math.ca/5-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-2/lind.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Henning:1967:PTR,
author = "H. B. Henning",
title = "{Pythagorean} Triangles and Related Concepts",
journal = j-FIB-QUART,
volume = "5",
number = "2",
pages = "185--192",
month = apr,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:52 MDT 2011",
bibsource = "http://www.fq.math.ca/5-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-2/henning.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wlodarski:1967:AGR,
author = "J. Wlodarski",
title = "Achieving the {``Golden Ratio''} by Grouping the
``Elementary'' Principle",
journal = j-FIB-QUART,
volume = "5",
number = "2",
pages = "193--194",
month = apr,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:52 MDT 2011",
bibsource = "http://www.fq.math.ca/5-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-2/wlodarski.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Weland:1967:SRP,
author = "Kathleen Weland",
title = "Some Rabbit Production Results Involving {Fibonacci}
Numbers",
journal = j-FIB-QUART,
volume = "5",
number = "2",
pages = "195--200",
month = apr,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:52 MDT 2011",
bibsource = "http://www.fq.math.ca/5-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-2/weland.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1967:EPSb,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "5",
number = "2",
pages = "201--207",
month = apr,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:52 MDT 2011",
bibsource = "http://www.fq.math.ca/5-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-2/elementary5-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brousseau:1967:SS,
author = "Brother Alfred Brousseau",
title = "1967 as the Sum of Squares",
journal = j-FIB-QUART,
volume = "5",
number = "2",
pages = "208--??",
month = apr,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:52 MDT 2011",
bibsource = "http://www.fq.math.ca/5-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-2/brousseau.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Waddill:1967:AGF,
author = "Marcellus E. Waddill and Louis Sacks",
title = "Another Generalized {Fibonacci} Sequence",
journal = j-FIB-QUART,
volume = "5",
number = "3",
pages = "209--222",
month = oct,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:54 MDT 2011",
bibsource = "http://www.fq.math.ca/5-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-3/waddill.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Mohanty:1967:RC,
author = "S. G. Mohanty",
title = "Restricted Compositions",
journal = j-FIB-QUART,
volume = "5",
number = "3",
pages = "223--234",
month = oct,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:54 MDT 2011",
bibsource = "http://www.fq.math.ca/5-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-3/mohanty.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Roselle:1967:ECT,
author = "D. P. Roselle",
title = "Enumeration of Certain Triangular Arrays",
journal = j-FIB-QUART,
volume = "5",
number = "3",
pages = "235--246",
month = oct,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:54 MDT 2011",
bibsource = "http://www.fq.math.ca/5-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-3/roselle.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gould:1967:NCI,
author = "H. W. Gould",
title = "Note on a Combinatorial Identity in the Theory of
Bi-Colored Graphs",
journal = j-FIB-QUART,
volume = "5",
number = "3",
pages = "247--250",
month = oct,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:54 MDT 2011",
bibsource = "http://www.fq.math.ca/5-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-3/gould.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1967:APSc,
author = "Verner E. {Hoggatt, Jr.}",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "5",
number = "3",
pages = "251--258",
month = oct,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:54 MDT 2011",
bibsource = "http://www.fq.math.ca/5-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-3/advanced5-3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Flores:1967:DCG,
author = "Ivan Flores",
title = "Direct Calculation of $k$-Generalized {Fibonacci}
Numbers",
journal = j-FIB-QUART,
volume = "5",
number = "3",
pages = "259--266",
month = oct,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:54 MDT 2011",
bibsource = "http://www.fq.math.ca/5-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-3/flores.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Draim:1967:EWR,
author = "N. A. Draim and Marjorie Bicknell",
title = "Equations Whose Roots as the $n$ th Powers of the
Roots of a Given Cubic Equation",
journal = j-FIB-QUART,
volume = "5",
number = "3",
pages = "267--274",
month = oct,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:54 MDT 2011",
bibsource = "http://www.fq.math.ca/5-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-3/draim.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Mandelson:1967:AIF,
author = "Joseph Mandelson",
title = "Amateur Interests in the {Fibonacci} Series {II}.
Calculation of {Fibonacci} Numbers and Sums from the
Binomial",
journal = j-FIB-QUART,
volume = "5",
number = "3",
pages = "275--279",
month = oct,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:54 MDT 2011",
bibsource = "http://www.fq.math.ca/5-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-3/mandelson.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Jarden:1967:EAL,
author = "Dov Jarden",
title = "Existence of Arbitrarily Long Sequences of Consecutive
Members in Arithmetic Progressions Divisible by
Arbitrarily Many Different Primes",
journal = j-FIB-QUART,
volume = "5",
number = "3",
pages = "280--??",
month = oct,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:54 MDT 2011",
bibsource = "http://www.fq.math.ca/5-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-3/jarden1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1967:PLR,
author = "Raymond E. Whitney",
title = "A Property of Linear Recursion Relations",
journal = j-FIB-QUART,
volume = "5",
number = "3",
pages = "281--285",
month = oct,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:54 MDT 2011",
bibsource = "http://www.fq.math.ca/5-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-3/whitney.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Dov:1967:SPC,
author = "Dov and Moshe Jarden",
title = "Simultaneous Prime and Composite Members in Two
Arithmetic Progressions",
journal = j-FIB-QUART,
volume = "5",
number = "3",
pages = "286--??",
month = oct,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:54 MDT 2011",
bibsource = "http://www.fq.math.ca/5-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-3/jarden2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1967:EPSc,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "5",
number = "3",
pages = "287--293",
month = oct,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:54 MDT 2011",
bibsource = "http://www.fq.math.ca/5-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-3/elementary5-3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bucknell:1967:FNS,
author = "R. S. Bucknell",
title = "{Fibonacci} Numbers and Some Prime Reciprocals",
journal = j-FIB-QUART,
volume = "5",
number = "3",
pages = "294--297",
month = oct,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:54 MDT 2011",
bibsource = "http://www.fq.math.ca/5-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-3/bucknell.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Taylor:1967:RFL,
author = "Laurence Taylor",
title = "Residues of {Fibonacci}-Like Sequences",
journal = j-FIB-QUART,
volume = "5",
number = "3",
pages = "298--304",
month = oct,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:54 MDT 2011",
bibsource = "http://www.fq.math.ca/5-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-3/taylor.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cohn:1967:TRM,
author = "John H. E. Cohn",
title = "On $m$-tic Residues Modulo $n$",
journal = j-FIB-QUART,
volume = "5",
number = "4",
pages = "305--318",
month = dec,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:56 MDT 2011",
bibsource = "http://www.fq.math.ca/5-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-4/cohn.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Fielder:1967:CLL,
author = "Daniel C. Fielder",
title = "Certain {Lucas}-Like Sequences and Their Generation by
Partitions of Numbers",
journal = j-FIB-QUART,
volume = "5",
number = "4",
pages = "319--324",
month = dec,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:56 MDT 2011",
bibsource = "http://www.fq.math.ca/5-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-4/fielder1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Fielder:1967:RTR,
author = "Daniel C. Fielder",
title = "Remarks on Two Related Sequences of Numbers",
journal = j-FIB-QUART,
volume = "5",
number = "4",
pages = "325--327",
month = dec,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:56 MDT 2011",
bibsource = "http://www.fq.math.ca/5-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-4/fielder2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brousseau:1967:BSR,
author = "Brother Alfred Brousseau",
title = "{{\booktitle{Recurring Sequences}} (Review of Book by
Dov Jarden)}",
journal = j-FIB-QUART,
volume = "5",
number = "4",
pages = "328--??",
month = dec,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:56 MDT 2011",
bibsource = "http://www.fq.math.ca/5-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "See \cite{Jarden:1966:RSC}.",
URL = "http://www.fq.math.ca/Scanned/5-4/review.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Daykin:1967:BII,
author = "D. E. Daykin and A. J. W. Hilton",
title = "Bases for Infinite Intervals of Integers",
journal = j-FIB-QUART,
volume = "5",
number = "4",
pages = "329--345",
month = dec,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:56 MDT 2011",
bibsource = "http://www.fq.math.ca/5-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-4/daykin1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Jarden:1967:NIF,
author = "Dov Jarden",
title = "A New Important Formula for {Lucas} Numbers",
journal = j-FIB-QUART,
volume = "5",
number = "4",
pages = "346--??",
month = dec,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:56 MDT 2011",
bibsource = "http://www.fq.math.ca/5-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-4/jarden.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Halton:1967:SPA,
author = "John H. Halton",
title = "Some Properties Associated with Square {Fibonacci}
Numbers",
journal = j-FIB-QUART,
volume = "5",
number = "4",
pages = "347--354",
month = dec,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:56 MDT 2011",
bibsource = "http://www.fq.math.ca/5-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-4/halton.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Trigg:1967:P,
author = "Charles W. Trigg",
title = "Picking away at 1967",
journal = j-FIB-QUART,
volume = "5",
number = "4",
pages = "355--??",
month = dec,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:56 MDT 2011",
bibsource = "http://www.fq.math.ca/5-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-4/trigg.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Fray:1967:GFA,
author = "Robert Fray",
title = "A Generating Function Associated with the Generalized
{Stirling} Numbers",
journal = j-FIB-QUART,
volume = "5",
number = "4",
pages = "356--366",
month = dec,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:56 MDT 2011",
bibsource = "http://www.fq.math.ca/5-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-4/fray.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Daykin:1967:IPF,
author = "D. E. Daykin and L. A. G. Dresel",
title = "Identities for Products of {Fibonacci} and {Lucas}
Numbers",
journal = j-FIB-QUART,
volume = "5",
number = "4",
pages = "367--369",
month = dec,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:56 MDT 2011",
bibsource = "http://www.fq.math.ca/5-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-4/daykin2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Trigg:1967:LE,
author = "Charles W. Trigg",
title = "A Letter to the Editors",
journal = j-FIB-QUART,
volume = "5",
number = "4",
pages = "370--??",
month = dec,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:56 MDT 2011",
bibsource = "http://www.fq.math.ca/5-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-4/letter.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Elmore:1967:FF,
author = "Merritt Elmore",
title = "{Fibonacci} Functions",
journal = j-FIB-QUART,
volume = "5",
number = "4",
pages = "371--382",
month = dec,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:56 MDT 2011",
bibsource = "http://www.fq.math.ca/5-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-4/elmore.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1967:FNG,
author = "V. E. {Hoggatt, Jr.}",
title = "{Fibonacci} Numbers and Generalized Binomial
Coefficients",
journal = j-FIB-QUART,
volume = "5",
number = "4",
pages = "383--400",
month = dec,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:56 MDT 2011",
bibsource = "http://www.fq.math.ca/5-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-4/hoggatt.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gould:1967:BFB,
author = "H. W. Gould",
title = "The Bracket Function, $q$-Binomial Coefficients, and
some New {Stirling} Number Formulas",
journal = j-FIB-QUART,
volume = "5",
number = "5",
pages = "401--423",
month = dec,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:58 MDT 2011",
bibsource = "http://www.fq.math.ca/5-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-5/gould.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:1967:SPS,
author = "A. F. Horadam",
title = "Special Properties of the Sequence {$ W_n(a, b; p, q)
$}",
journal = j-FIB-QUART,
volume = "5",
number = "5",
pages = "424--434",
month = dec,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:58 MDT 2011",
bibsource = "http://www.fq.math.ca/5-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-5/horadam.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1967:APS,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "5",
number = "5",
pages = "435--443",
month = dec,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:58 MDT 2011",
bibsource = "http://www.fq.math.ca/5-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-5/advanced5-5.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brousseau:1967:RCP,
author = "Brother Alfred Brousseau",
title = "Recreation Corner --- Population Explosion",
journal = j-FIB-QUART,
volume = "5",
number = "5",
pages = "444--??",
month = dec,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:58 MDT 2011",
bibsource = "http://www.fq.math.ca/5-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-5/brousseau.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1967:PFN,
author = "V. E. {Hoggatt, Jr.} and D. A. Lind",
title = "A Primer for the {Fibonacci} Numbers: {Part VI}",
journal = j-FIB-QUART,
volume = "5",
number = "5",
pages = "445--460",
month = dec,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:58 MDT 2011",
bibsource = "http://www.fq.math.ca/5-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-5/hoggatt.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ford:1967:SFR,
author = "Gary G. Ford",
title = "A Shift Formula for Recurrence Relations of Order
$m$",
journal = j-FIB-QUART,
volume = "5",
number = "5",
pages = "461--465",
month = dec,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:58 MDT 2011",
bibsource = "http://www.fq.math.ca/5-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-5/ford.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1967:EPSd,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "5",
number = "5",
pages = "466--471",
month = dec,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:58 MDT 2011",
bibsource = "http://www.fq.math.ca/5-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-5/elementary5-5.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Trigg:1967:GP,
author = "Charles W. Trigg",
title = "Getting Primed for 1967",
journal = j-FIB-QUART,
volume = "5",
number = "5",
pages = "472--473",
month = dec,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:58 MDT 2011",
bibsource = "http://www.fq.math.ca/5-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-5/trigg1-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Trigg:1967:C,
author = "Charles W. Trigg",
title = "Curiosa in 1967",
journal = j-FIB-QUART,
volume = "5",
number = "5",
pages = "474--476",
month = dec,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:58 MDT 2011",
bibsource = "http://www.fq.math.ca/5-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-5/trigg2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Trigg:1967:DB,
author = "Charles W. Trigg",
title = "A Digital Bracelet for 1967",
journal = j-FIB-QUART,
volume = "5",
number = "5",
pages = "477--480",
month = dec,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:58 MDT 2011",
bibsource = "http://www.fq.math.ca/5-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-5/trigg3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Heimer:1967:GFF,
author = "Richard L. Heimer",
title = "A General {Fibonacci} Function",
journal = j-FIB-QUART,
volume = "5",
number = "5",
pages = "481--483",
month = dec,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:58 MDT 2011",
bibsource = "http://www.fq.math.ca/5-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-5/heimer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hunter:1967:RHT,
author = "J. A. H. Hunter",
title = "A Result for {Heronian} Triangles",
journal = j-FIB-QUART,
volume = "5",
number = "5",
pages = "484--485",
month = dec,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:58 MDT 2011",
bibsource = "http://www.fq.math.ca/5-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-5/hunter.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Feinberg:1967:LT,
author = "Mark Feinberg",
title = "A {Lucas} Triangle",
journal = j-FIB-QUART,
volume = "5",
number = "5",
pages = "486--490",
month = dec,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:58 MDT 2011",
bibsource = "http://www.fq.math.ca/5-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-5/feinberg.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1967:VI,
author = "Anonymous",
title = "Volume Index",
journal = j-FIB-QUART,
volume = "5",
number = "5",
pages = "491--??",
month = dec,
year = "1967",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:58 MDT 2011",
bibsource = "http://www.fq.math.ca/5-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/5-5/index.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Parker:1968:FF,
author = "Francis D. Parker",
title = "A {Fibonacci} Function",
journal = j-FIB-QUART,
volume = "6",
number = "1",
pages = "1--2",
month = feb,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:00 MDT 2011",
bibsource = "http://www.fq.math.ca/6-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-1/parker.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gale:1968:FIM,
author = "Gene B. Gale",
title = "Factorization of $ 2 \times 2 $ Integral Matrices With
Determinant $ \pm 1 $",
journal = j-FIB-QUART,
volume = "6",
number = "1",
pages = "3--20",
month = feb,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:00 MDT 2011",
bibsource = "http://www.fq.math.ca/6-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "See errata \cite{Gale:1968:EFI}.",
URL = "http://www.fq.math.ca/Scanned/6-1/gale.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1968:Ea,
author = "Anonymous",
title = "Errata",
journal = j-FIB-QUART,
volume = "6",
number = "1",
pages = "21--??",
month = feb,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:00 MDT 2011",
bibsource = "http://www.fq.math.ca/6-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-1/errata1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Mohanty:1968:PGF,
author = "S. G. Mohanty",
title = "On a Partition of Generalized {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "6",
number = "1",
pages = "22--33",
month = feb,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:00 MDT 2011",
bibsource = "http://www.fq.math.ca/6-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-1/mohanty.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brown:1968:CPI,
author = "J. L. {Brown, Jr.}",
title = "A Combinatorial Problem Involving {Fibonacci}
Numbers",
journal = j-FIB-QUART,
volume = "6",
number = "1",
pages = "34--35",
month = feb,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:00 MDT 2011",
bibsource = "http://www.fq.math.ca/6-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-1/brown.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Smith:1968:CGA,
author = "David A. Smith",
title = "Circularly Generated {Abelian} Groups",
journal = j-FIB-QUART,
volume = "6",
number = "1",
pages = "36--45",
month = feb,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:00 MDT 2011",
bibsource = "http://www.fq.math.ca/6-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-1/smith.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{King:1968:CGF,
author = "Charles H. King",
title = "Conjugate Generalized {Fibonacci} Sequences",
journal = j-FIB-QUART,
volume = "6",
number = "1",
pages = "46--49",
month = feb,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:00 MDT 2011",
bibsource = "http://www.fq.math.ca/6-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-1/king.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1968:APSa,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "6",
number = "1",
pages = "50--57",
month = feb,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:00 MDT 2011",
bibsource = "http://www.fq.math.ca/6-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-1/advanced6-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brousseau:1968:RCS,
author = "Brother Alfred Brousseau",
title = "Recreation Corner --- Solution to Population
Explosion",
journal = j-FIB-QUART,
volume = "6",
number = "1",
pages = "58--59",
month = feb,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:00 MDT 2011",
bibsource = "http://www.fq.math.ca/6-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-1/brousseau1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Madachy:1968:RMa,
author = "Joseph S. Madachy",
title = "Recreational Mathematics",
journal = j-FIB-QUART,
volume = "6",
number = "1",
pages = "60--68",
month = feb,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:00 MDT 2011",
bibsource = "http://www.fq.math.ca/6-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-1/madachy.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brousseau:1968:TCP,
author = "Brother Alfred Brousseau",
title = "On the Trail of the {California} Pine",
journal = j-FIB-QUART,
volume = "6",
number = "1",
pages = "69--76",
month = feb,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:00 MDT 2011",
bibsource = "http://www.fq.math.ca/6-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-1/brousseau2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Freitag:1968:MSI,
author = "Herta T. Freitag",
title = "A Magic Square Involving {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "6",
number = "1",
pages = "77--80",
month = feb,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:00 MDT 2011",
bibsource = "http://www.fq.math.ca/6-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-1/freitag.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brousseau:1968:SPF,
author = "Brother Alfred Brousseau",
title = "A Sequence of Power Formulas",
journal = j-FIB-QUART,
volume = "6",
number = "1",
pages = "81--83",
month = feb,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:00 MDT 2011",
bibsource = "http://www.fq.math.ca/6-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-1/brousseau3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brousseau:1968:BRB,
author = "Brother Alfred Brousseau",
title = "Book Review: {{\booktitle{536 Puzzles and Curious
Problems}}}",
journal = j-FIB-QUART,
volume = "6",
number = "1",
pages = "84--??",
month = feb,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:00 MDT 2011",
bibsource = "http://www.fq.math.ca/6-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "See \cite{Dudeney:1967:PCP}.",
URL = "http://www.fq.math.ca/Scanned/6-1/review1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Beard:1968:FDB,
author = "Col. R. S. Beard",
title = "The {Fibonacci} Drawing Board --- Design of the {Great
Pyramid of Gizeh}",
journal = j-FIB-QUART,
volume = "6",
number = "1",
pages = "85--87",
month = feb,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:00 MDT 2011",
bibsource = "http://www.fq.math.ca/6-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-1/beard.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Eves:1968:BRB,
author = "Howard Eves",
title = "Book Review: {{\booktitle{Mathematical Quickies}}}",
journal = j-FIB-QUART,
volume = "6",
number = "1",
pages = "88--??",
month = feb,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:00 MDT 2011",
bibsource = "http://www.fq.math.ca/6-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "See \cite{Trigg:1967:MQ}.",
URL = "http://www.fq.math.ca/Scanned/6-1/review2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1968:EPSa,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "6",
number = "1",
pages = "89--95",
month = feb,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:00 MDT 2011",
bibsource = "http://www.fq.math.ca/6-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-1/elementary6-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Jarden:1968:FDS,
author = "Dov Jarden",
title = "Formulas for Decomposing {$ F_{3n} / F_n $}, {$ F_{5n}
/ F_n $} and {$ L_{5n} / L_n $} into a Sum of
Difference of Two Squares",
journal = j-FIB-QUART,
volume = "6",
number = "1",
pages = "96--??",
month = feb,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:00 MDT 2011",
bibsource = "http://www.fq.math.ca/6-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-1/jarden.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Pond:1968:GFS,
author = "Jeremy C. Pond",
title = "Generalized {Fibonacci} Summations",
journal = j-FIB-QUART,
volume = "6",
number = "2",
pages = "97--108",
month = apr,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:02 MDT 2011",
bibsource = "http://www.fq.math.ca/6-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-2/pond.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Shenton:1968:PDM,
author = "L. R. Shenton",
title = "Periodicity and Density of Modified {Fibonacci}
Sequences",
journal = j-FIB-QUART,
volume = "6",
number = "2",
pages = "109--116",
month = apr,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:02 MDT 2011",
bibsource = "http://www.fq.math.ca/6-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-2/shenton.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cusick:1968:CIA,
author = "T. W. Cusick",
title = "On a Certain Integer Associated with a Generalized
{Fibonacci} Sequence",
journal = j-FIB-QUART,
volume = "6",
number = "2",
pages = "117--126",
month = apr,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:02 MDT 2011",
bibsource = "http://www.fq.math.ca/6-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-2/cusick.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Tauber:1968:FP,
author = "Selmo Tauber",
title = "On {$Q$-Fibonacci} Polynomials",
journal = j-FIB-QUART,
volume = "6",
number = "2",
pages = "127--134",
month = apr,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:02 MDT 2011",
bibsource = "http://www.fq.math.ca/6-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-2/tauber.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Levine:1968:GLP,
author = "Eugene Levine",
title = "On the Generalized {Langford} Problem",
journal = j-FIB-QUART,
volume = "6",
number = "2",
pages = "135--137",
month = apr,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:02 MDT 2011",
bibsource = "http://www.fq.math.ca/6-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-2/levine.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Scott:1968:FIL,
author = "Allan Scott",
title = "{Fibonacci} Illustration of {L'H{\^o}pital}'s Rule",
journal = j-FIB-QUART,
volume = "6",
number = "2",
pages = "138--??",
month = apr,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:02 MDT 2011",
bibsource = "http://www.fq.math.ca/6-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-2/scott1-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Shah:1968:FSM,
author = "A. P. Shah",
title = "{Fibonacci} Sequence Modulo $m$",
journal = j-FIB-QUART,
volume = "6",
number = "2",
pages = "139--141",
month = apr,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:02 MDT 2011",
bibsource = "http://www.fq.math.ca/6-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-2/shah.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1968:APSb,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "6",
number = "2",
pages = "142--150",
month = apr,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:02 MDT 2011",
bibsource = "http://www.fq.math.ca/6-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-2/advanced6-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Winthrop:1968:MMS,
author = "Henry Winthrop",
title = "Mathematical Models for the Study of the Propagation
of Novel Social Behavior",
journal = j-FIB-QUART,
volume = "6",
number = "2",
pages = "151--155",
month = apr,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:02 MDT 2011",
bibsource = "http://www.fq.math.ca/6-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-2/winthrop.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wlodarski:1968:CPO,
author = "J. Wlodarski",
title = "Curious Property of One Fraction",
journal = j-FIB-QUART,
volume = "6",
number = "2",
pages = "156--??",
month = apr,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:02 MDT 2011",
bibsource = "http://www.fq.math.ca/6-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-2/wlodarski1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cavior:1968:TPS,
author = "Stephen R. Cavior",
title = "A Theorem on Power Sums",
journal = j-FIB-QUART,
volume = "6",
number = "2",
pages = "157--160",
month = apr,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:02 MDT 2011",
bibsource = "http://www.fq.math.ca/6-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-2/cavior.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wlodarski:1968:NP,
author = "J. Wlodarski",
title = "A Number Problem",
journal = j-FIB-QUART,
volume = "6",
number = "2",
pages = "161--??",
month = apr,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:02 MDT 2011",
bibsource = "http://www.fq.math.ca/6-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-2/wlodarski2-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Madachy:1968:RMb,
author = "Joseph S. Madachy",
title = "Recreational Mathematics",
journal = j-FIB-QUART,
volume = "6",
number = "2",
pages = "162--166",
month = apr,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:02 MDT 2011",
bibsource = "http://www.fq.math.ca/6-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-2/madachy.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Swamy:1968:FPM,
author = "M. N. S. Swamy",
title = "Further Properties of {Morgan--Voyce} Polynomials",
journal = j-FIB-QUART,
volume = "6",
number = "2",
pages = "167--175",
month = apr,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:02 MDT 2011",
bibsource = "http://www.fq.math.ca/6-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-2/swamy.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Scott:1968:SFS,
author = "Allan Scott",
title = "{Scott}'s {Fibonacci} Scrapbook",
journal = j-FIB-QUART,
volume = "6",
number = "2",
pages = "176--??",
month = apr,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:02 MDT 2011",
bibsource = "http://www.fq.math.ca/6-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-2/scott2-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Green:1968:LDE,
author = "Thomas M. Green",
title = "Linear {Diophantine} Equations with Non-Negative
Parameters and Solutions",
journal = j-FIB-QUART,
volume = "6",
number = "2",
pages = "177--184",
month = apr,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:02 MDT 2011",
bibsource = "http://www.fq.math.ca/6-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-2/green.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1968:EPSb,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "6",
number = "2",
pages = "185--191",
month = apr,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:02 MDT 2011",
bibsource = "http://www.fq.math.ca/6-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-2/elementary6-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wlodarski:1968:PTS,
author = "J. Wlodarski",
title = "{Pascal}'s Triangle and Some Famous Number Sequences",
journal = j-FIB-QUART,
volume = "6",
number = "2",
pages = "192--??",
month = apr,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:02 MDT 2011",
bibsource = "http://www.fq.math.ca/6-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-2/wlodarski3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bernstein:1968:LDE,
author = "Leon Bernstein",
title = "The Linear {Diophantine} Equation in $n$ Variables and
Its Application to Generalized {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "6",
number = "3",
pages = "1--63",
month = jun,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:04 MDT 2011",
bibsource = "http://www.fq.math.ca/6-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-3/bernstein.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Fielder:1968:SIS,
author = "Daniel C. Fielder",
title = "Special Integer Sequences Controlled by Three
Parameters",
journal = j-FIB-QUART,
volume = "6",
number = "3",
pages = "64--69",
month = jun,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:04 MDT 2011",
bibsource = "http://www.fq.math.ca/6-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-3/fielder.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1968:Eb,
author = "Anonymous",
title = "Errata",
journal = j-FIB-QUART,
volume = "6",
number = "3",
pages = "70--??",
month = jun,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:04 MDT 2011",
bibsource = "http://www.fq.math.ca/6-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-3/errata.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1968:BN,
author = "L. Carlitz",
title = "{Bernoulli} Numbers",
journal = j-FIB-QUART,
volume = "6",
number = "3",
pages = "71--84",
month = jun,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:04 MDT 2011",
bibsource = "http://www.fq.math.ca/6-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-3/carlitz.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1968:BA,
author = "Verner E. {Hoggatt, Jr.}",
title = "Belated Acknowledgement",
journal = j-FIB-QUART,
volume = "6",
number = "3",
pages = "85--??",
month = jun,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:04 MDT 2011",
bibsource = "http://www.fq.math.ca/6-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-3/acknowledgement.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lind:1968:QFC,
author = "D. A. Lind",
title = "The Quadratic Field {$ Q(\sqrt {5}) $} and a Certain
{Diophantine} Equation",
journal = j-FIB-QUART,
volume = "6",
number = "3",
pages = "86--93",
month = jun,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:04 MDT 2011",
bibsource = "http://www.fq.math.ca/6-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-3/lind.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Forget:1968:PTF,
author = "T. W. Forget and T. A. Larkin",
title = "{Pythagorean} Triads of the Form {$ X, X + 1, Z $}
Described by Recurrence Sequences",
journal = j-FIB-QUART,
volume = "6",
number = "3",
pages = "94--104",
month = jun,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:04 MDT 2011",
bibsource = "http://www.fq.math.ca/6-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-3/forget.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1968:GRG,
author = "V. E. {Hoggatt, Jr.}",
title = "Generalized Rabbits for Generalized {Fibonacci}
Numbers",
journal = j-FIB-QUART,
volume = "6",
number = "3",
pages = "105--192",
month = jun,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:04 MDT 2011",
bibsource = "http://www.fq.math.ca/6-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-3/hoggatt.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1968:FR,
author = "L. Carlitz",
title = "{Fibonacci} Representations",
journal = j-FIB-QUART,
volume = "6",
number = "4",
pages = "193--220",
month = oct,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:06 MDT 2011",
bibsource = "http://www.fq.math.ca/6-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-4/carlitz.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1968:NAP,
author = "V. E. {Hoggatt, Jr.}",
title = "A New Angle on {Pascal}'s Triangle",
journal = j-FIB-QUART,
volume = "6",
number = "4",
pages = "221--234",
month = oct,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:06 MDT 2011",
bibsource = "http://www.fq.math.ca/6-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-4/hoggatt.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Klarner:1968:PDF,
author = "David A. Klarner",
title = "Partitions of {$N$} into Distinct {Fibonacci}
Numbers",
journal = j-FIB-QUART,
volume = "6",
number = "4",
pages = "235--243",
month = oct,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:06 MDT 2011",
bibsource = "http://www.fq.math.ca/6-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-4/klarner.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wlodarski:1968:MAG,
author = "J. Wlodarski",
title = "More about the {``Golden Ratio''} in the World of
Atoms",
journal = j-FIB-QUART,
volume = "6",
number = "4",
pages = "244--??",
month = oct,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:06 MDT 2011",
bibsource = "http://www.fq.math.ca/6-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-4/wlodarski-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Scott:1968:CEF,
author = "Alan M. Scott",
title = "Continuous Extensions of {Fibonacci} Identities",
journal = j-FIB-QUART,
volume = "6",
number = "4",
pages = "245--249",
month = oct,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:06 MDT 2011",
bibsource = "http://www.fq.math.ca/6-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-4/scott.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1968:APSc,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "6",
number = "4",
pages = "250--260",
month = oct,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:06 MDT 2011",
bibsource = "http://www.fq.math.ca/6-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-4/advanced6-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ledin:1968:E,
author = "George {Ledin, Jr.}",
title = "Is {Eratosthenes} out?",
journal = j-FIB-QUART,
volume = "6",
number = "4",
pages = "261--265",
month = oct,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:06 MDT 2011",
bibsource = "http://www.fq.math.ca/6-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-4/ledin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Curl:1968:FNS,
author = "James C. Curl",
title = "{Fibonacci} Numbers and the Slow Learner",
journal = j-FIB-QUART,
volume = "6",
number = "4",
pages = "266--274",
month = oct,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:06 MDT 2011",
bibsource = "http://www.fq.math.ca/6-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-4/curl.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Mandelson:1968:AIF,
author = "Joseph Mandelson",
title = "Amateur Interests in the {Fibonacci} Series {III}.
{Residues} of $ u_n $ with Respect to Any Modules",
journal = j-FIB-QUART,
volume = "6",
number = "4",
pages = "275--278",
month = oct,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:06 MDT 2011",
bibsource = "http://www.fq.math.ca/6-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-4/mandelson.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brousseau:1968:RSL,
author = "Brother Alfred Brousseau",
title = "Recurring Sequences --- Lesson 1",
journal = j-FIB-QUART,
volume = "6",
number = "4",
pages = "279--285",
month = oct,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:06 MDT 2011",
bibsource = "http://www.fq.math.ca/6-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-4/brousseau-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Prielipp:1968:EPN,
author = "Robert W. Prielipp",
title = "Even Perfect Numbers and Seven",
journal = j-FIB-QUART,
volume = "6",
number = "4",
pages = "286--287",
month = oct,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:06 MDT 2011",
bibsource = "http://www.fq.math.ca/6-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-4/prielipp-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1968:EPSc,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "6",
number = "4",
pages = "288--298",
month = oct,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:06 MDT 2011",
bibsource = "http://www.fq.math.ca/6-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-4/elementary6-4-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Madachy:1968:RMc,
author = "Joseph S. Madachy",
title = "Recreational Mathematics",
journal = j-FIB-QUART,
volume = "6",
number = "4",
pages = "299--??",
month = oct,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:06 MDT 2011",
bibsource = "http://www.fq.math.ca/6-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-4/madachy.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Fielder:1968:GSN,
author = "Daniel C. Fielder",
title = "Generation of {Stirling} Numbers by Means of Special
Partitions of Numbers",
journal = j-FIB-QUART,
volume = "6",
number = "5",
pages = "1--9",
month = nov,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:08 MDT 2011",
bibsource = "http://www.fq.math.ca/6-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-5/fielder.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gale:1968:EFI,
author = "Gene B. Gale",
title = "Errata for {``Factorization of $ 2 \times 2 $ Integral
Matrices with Determinant $ \pm 1 $''}",
journal = j-FIB-QUART,
volume = "6",
number = "5",
pages = "10--??",
month = nov,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:08 MDT 2011",
bibsource = "http://www.fq.math.ca/6-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "See \cite{Gale:1968:FIM}.",
URL = "http://www.fq.math.ca/Scanned/6-5/errata-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{May:1968:CFS,
author = "Donna B. May",
title = "On a Characterization of the {Fibonacci} Sequence",
journal = j-FIB-QUART,
volume = "6",
number = "5",
pages = "11--14",
month = nov,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:08 MDT 2011",
bibsource = "http://www.fq.math.ca/6-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-5/may.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Halberg:1968:GFO,
author = "Charles J. A. {Halberg, Jr.}",
title = "The Generalized {Fibonacci} Operator",
journal = j-FIB-QUART,
volume = "6",
number = "5",
pages = "15--33",
month = nov,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:08 MDT 2011",
bibsource = "http://www.fq.math.ca/6-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-5/halberg.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bicknell:1968:CPS,
author = "Marjorie Bicknell",
title = "A Curious Property of a Second Fraction",
journal = j-FIB-QUART,
volume = "6",
number = "5",
pages = "34--??",
month = nov,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:08 MDT 2011",
bibsource = "http://www.fq.math.ca/6-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-5/bicknell1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gootherts:1968:LACa,
author = "J. W. Gootherts",
title = "Linear Algebra Constructed from {Fibonacci} Sequences
{Part I}: Fundamentals and Polynomial Interpretations",
journal = j-FIB-QUART,
volume = "6",
number = "5",
pages = "35--42",
month = nov,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:08 MDT 2011",
bibsource = "http://www.fq.math.ca/6-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-5/gootherts1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bicknell:1968:RM,
author = "Marjorie Bicknell",
title = "Romance in Mathematics",
journal = j-FIB-QUART,
volume = "6",
number = "5",
pages = "43--??",
month = nov,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:08 MDT 2011",
bibsource = "http://www.fq.math.ca/6-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-5/bicknell2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gootherts:1968:LACb,
author = "J. W. Gootherts",
title = "Linear Algebra Constructed from {Fibonacci} Sequences.
{Part II}: {Function} Sequences and {Taylor} Series of
Function Sequences",
journal = j-FIB-QUART,
volume = "6",
number = "5",
pages = "44--54",
month = nov,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:08 MDT 2011",
bibsource = "http://www.fq.math.ca/6-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-5/gootherts2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1968:SSF,
author = "V. E. {Hoggatt, Jr.} and D. A. Lind",
title = "Symbolic Substitutions into {Fibonacci} Polynomials",
journal = j-FIB-QUART,
volume = "6",
number = "5",
pages = "55--74",
month = nov,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:08 MDT 2011",
bibsource = "http://www.fq.math.ca/6-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-5/hoggatt.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Levine:1968:FSI,
author = "Eugene Levine",
title = "{Fibonacci} Sequences with Identical Characteristic
Values",
journal = j-FIB-QUART,
volume = "6",
number = "5",
pages = "75--80",
month = nov,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:08 MDT 2011",
bibsource = "http://www.fq.math.ca/6-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-5/levine1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Holben:1968:TPP,
author = "C. A. Holben and J. H. Jordan",
title = "The Twin Prime Problem and {Goldbach}'s Conjecture in
the {Gaussian} Integers",
journal = j-FIB-QUART,
volume = "6",
number = "5",
pages = "81--85",
month = nov,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:08 MDT 2011",
bibsource = "http://www.fq.math.ca/6-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-5/holben-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Klamkin:1968:LDE,
author = "Murray S. Klamkin",
title = "On the Linear Difference Equation whose Solutions are
the Products of Solutions of Two Given Linear
Difference Equations",
journal = j-FIB-QUART,
volume = "6",
number = "5",
pages = "86--92",
month = nov,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:08 MDT 2011",
bibsource = "http://www.fq.math.ca/6-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-5/klamkin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Tauber:1968:LNF,
author = "Selmo Tauber",
title = "{Lah} Numbers for {Fibonacci} and {Lucas}
Polynomials",
journal = j-FIB-QUART,
volume = "6",
number = "5",
pages = "93--99",
month = nov,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:08 MDT 2011",
bibsource = "http://www.fq.math.ca/6-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-5/tauber1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Tauber:1968:LNP,
author = "Selmo Tauber",
title = "{Lah} Numbers for {$R$}-Polynomials",
journal = j-FIB-QUART,
volume = "6",
number = "5",
pages = "100--107",
month = nov,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:08 MDT 2011",
bibsource = "http://www.fq.math.ca/6-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-5/tauber2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Levine:1968:EPS,
author = "Eugene Levine",
title = "The Existence of Perfect $3$-Sequences",
journal = j-FIB-QUART,
volume = "6",
number = "5",
pages = "108--304",
month = nov,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:08 MDT 2011",
bibsource = "http://www.fq.math.ca/6-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-5/levine2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ferns:1968:PFN,
author = "H. H. Ferns",
title = "Pseudo-{Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "6",
number = "6",
pages = "305--317",
month = dec,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:10 MDT 2011",
bibsource = "http://www.fq.math.ca/6-6.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-6/ferns.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gould:1968:NPP,
author = "H. W. Gould",
title = "Note on a Paper of {Paul F. Byrd}, and a Solution of
{Problem P-3}",
journal = j-FIB-QUART,
volume = "6",
number = "6",
pages = "318--321",
month = dec,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:10 MDT 2011",
bibsource = "http://www.fq.math.ca/6-6.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-6/gould.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Dov:1968:EIC,
author = "Dov and Moshe Jarden",
title = "On the Existence of an Infinitude of Composite
Primitive Divisors of Second-Order Recurring
Sequences",
journal = j-FIB-QUART,
volume = "6",
number = "6",
pages = "322--334",
month = dec,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:10 MDT 2011",
bibsource = "http://www.fq.math.ca/6-6.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-6/jarden1-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Daykin:1968:BIR,
author = "D. E. Daykin and A. J. W. Hilton",
title = "Bases for Intervals of Real Numbers",
journal = j-FIB-QUART,
volume = "6",
number = "6",
pages = "335--349",
month = dec,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:10 MDT 2011",
bibsource = "http://www.fq.math.ca/6-6.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-6/daykin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1968:APSd,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "6",
number = "6",
pages = "350--359",
month = dec,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:10 MDT 2011",
bibsource = "http://www.fq.math.ca/6-6.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-6/advanced6-6.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Adler:1968:TDE,
author = "Irving Adler",
title = "Three {Diophantine} Equations --- {Part I}",
journal = j-FIB-QUART,
volume = "6",
number = "6",
pages = "360--369",
month = dec,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:10 MDT 2011",
bibsource = "http://www.fq.math.ca/6-6.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-6/adler-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Preziosi:1968:HDM,
author = "Donald A. Preziosi",
title = "Harmonic Design in {Minoan} Architecture",
journal = j-FIB-QUART,
volume = "6",
number = "6",
pages = "370--384",
month = dec,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:10 MDT 2011",
bibsource = "http://www.fq.math.ca/6-6.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-6/preziosi-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Madachy:1968:RMd,
author = "Joseph S. Madachy",
title = "Recreational Mathematics",
journal = j-FIB-QUART,
volume = "6",
number = "6",
pages = "385--389",
month = dec,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:10 MDT 2011",
bibsource = "http://www.fq.math.ca/6-6.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-6/madachy.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1968:DSA,
author = "Verner E. {Hoggatt, Jr.} and Free Jamison",
title = "Dissection of a Square into $n$ Acute Isosceles
Triangles",
journal = j-FIB-QUART,
volume = "6",
number = "6",
pages = "390--392",
month = dec,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:10 MDT 2011",
bibsource = "http://www.fq.math.ca/6-6.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-6/hoggatt.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brousseau:1968:LRR,
author = "Brother Alfred Brousseau",
title = "Linear Recursion Relations, Lesson Two",
journal = j-FIB-QUART,
volume = "6",
number = "6",
pages = "393--399",
month = dec,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:10 MDT 2011",
bibsource = "http://www.fq.math.ca/6-6.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-6/brousseau.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1968:EPSd,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "6",
number = "6",
pages = "400--406",
month = dec,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:10 MDT 2011",
bibsource = "http://www.fq.math.ca/6-6.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-6/elementary6-6.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Jarden:1968:LNP,
author = "Dov Jarden",
title = "Any {Lucas} Number {$ L_{5p} $}, for any Prime $ p > 5
$, Has at Least Two Distinct Primitive Prime Divisors",
journal = j-FIB-QUART,
volume = "6",
number = "6",
pages = "407--??",
month = dec,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:10 MDT 2011",
bibsource = "http://www.fq.math.ca/6-6.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-6/jarden2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1968:VI,
author = "Anonymous",
title = "Volume Index",
journal = j-FIB-QUART,
volume = "6",
number = "6",
pages = "408--??",
month = dec,
year = "1968",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:10 MDT 2011",
bibsource = "http://www.fq.math.ca/6-6.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/6-6/index.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ferns:1969:PFL,
author = "H. H. Ferns",
title = "Products of {Fibonacci} and {Lucas} Numbers",
journal = j-FIB-QUART,
volume = "7",
number = "1",
pages = "1--12",
month = feb,
year = "1969",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:12 MDT 2011",
bibsource = "http://www.fq.math.ca/7-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/7-1/ferns.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1969:E,
author = "Anonymous",
title = "Errata",
journal = j-FIB-QUART,
volume = "7",
number = "1",
pages = "13--??",
month = feb,
year = "1969",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:12 MDT 2011",
bibsource = "http://www.fq.math.ca/7-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/7-1/errata-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:1969:TOF,
author = "A. F. Horadam",
title = "{Tschebyscheff} and Other Functions Associated with
the Sequence $ \{ w_n(a, b; p, q) \} $",
journal = j-FIB-QUART,
volume = "7",
number = "1",
pages = "14--22",
month = feb,
year = "1969",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:12 MDT 2011",
bibsource = "http://www.fq.math.ca/7-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/7-1/horadam.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
keywords = "Chebychev; Chebyshev",
}
@Article{Gould:1969:BFF,
author = "H. W. Gould",
title = "The Bracket Function and {Fonten{\'e}--Ward}
Generalized Binomial Coefficients with Application to
{Fibonomial} Coefficients",
journal = j-FIB-QUART,
volume = "7",
number = "1",
pages = "23--40",
month = feb,
year = "1969",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:12 MDT 2011",
bibsource = "http://www.fq.math.ca/7-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/7-1/gould-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Arkin:1969:CCR,
author = "Joseph Arkin",
title = "Convergence of the Coefficients in a Recurring Power
Series",
journal = j-FIB-QUART,
volume = "7",
number = "1",
pages = "41--55",
month = feb,
year = "1969",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:12 MDT 2011",
bibsource = "http://www.fq.math.ca/7-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/7-1/arkin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1969:APSa,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "7",
number = "1",
pages = "56--65",
month = feb,
year = "1969",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:12 MDT 2011",
bibsource = "http://www.fq.math.ca/7-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/7-1/advanced7-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Iyer:1969:IIG,
author = "Muthulakshmi R. Iyer",
title = "Identities Involving Generalized {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "7",
number = "1",
pages = "66--72",
month = feb,
year = "1969",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:12 MDT 2011",
bibsource = "http://www.fq.math.ca/7-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/7-1/iyer1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bicknell:1969:GTR,
author = "Marjorie Bicknell and Verner E. {Hoggatt, Jr.}",
title = "Golden Triangles, Rectangles, and Cuboids",
journal = j-FIB-QUART,
volume = "7",
number = "1",
pages = "73--91",
month = feb,
year = "1969",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:12 MDT 2011",
bibsource = "http://www.fq.math.ca/7-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/7-1/bicknell-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Iyer:1969:SIF,
author = "Muthulakshmi R. Iyer",
title = "Sums Involving {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "7",
number = "1",
pages = "92--98",
month = feb,
year = "1969",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:12 MDT 2011",
bibsource = "http://www.fq.math.ca/7-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/7-1/iyer2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brousseau:1969:LRRa,
author = "Brother Alfred Brousseau",
title = "Linear Recursion Relations Lesson Three --- The
{Binet} Formulas",
journal = j-FIB-QUART,
volume = "7",
number = "1",
pages = "99--104",
month = feb,
year = "1969",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:12 MDT 2011",
bibsource = "http://www.fq.math.ca/7-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/7-1/brousseau-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brousseau:1969:BRB,
author = "Brother Alfred Brousseau",
title = "Book Reviews: {{\booktitle{Fibonacci and Lucas
numbers}}, by Verner E. Hoggatt, Jr.}, and
{{\booktitle{Invitation to number theory}}, by
{\O}ystein {\O}re}",
journal = j-FIB-QUART,
volume = "7",
number = "1",
pages = "105--106",
month = feb,
year = "1969",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:12 MDT 2011",
bibsource = "http://www.fq.math.ca/7-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "See \cite{Hoggatt:1969:FLN,Ore:1967:INT}.",
URL = "http://www.fq.math.ca/Scanned/7-1/reviews.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1969:EPSa,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "7",
number = "1",
pages = "107--112",
month = feb,
year = "1969",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:12 MDT 2011",
bibsource = "http://www.fq.math.ca/7-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/7-1/elementary7-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Andrews:1969:SFF,
author = "George E. Andrews",
title = "Some Formulae for the {Fibonacci} Sequence with
Generalizations",
journal = j-FIB-QUART,
volume = "7",
number = "2",
pages = "113--130",
month = apr,
year = "1969",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:14 MDT 2011",
bibsource = "http://www.fq.math.ca/7-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/7-2/andrews.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Boisen:1969:OPT,
author = "Monte B. {Boisen, Jr.}",
title = "Overlays of {Pascal}'s Triangle",
journal = j-FIB-QUART,
volume = "7",
number = "2",
pages = "131--139",
month = apr,
year = "1969",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:14 MDT 2011",
bibsource = "http://www.fq.math.ca/7-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/7-2/boisen.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Duncan:1969:DFI,
author = "R. L. Duncan",
title = "On the Density of the $k$-Free Integers",
journal = j-FIB-QUART,
volume = "7",
number = "2",
pages = "140--142",
month = apr,
year = "1969",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:14 MDT 2011",
bibsource = "http://www.fq.math.ca/7-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/7-2/duncan.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brousseau:1969:SIF,
author = "Brother Alfred Brousseau",
title = "Summation of Infinite {Fibonacci} Series",
journal = j-FIB-QUART,
volume = "7",
number = "2",
pages = "143--168",
month = apr,
year = "1969",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:14 MDT 2011",
bibsource = "http://www.fq.math.ca/7-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/7-2/brousseau1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1969:APSb,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "7",
number = "2",
pages = "169--179",
month = apr,
year = "1969",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:14 MDT 2011",
bibsource = "http://www.fq.math.ca/7-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/7-2/advanced7-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Karst:1969:FSI,
author = "Edgar Karst",
title = "A Four-Step Iteration Algorithm to Generate $ x^2 $ in
$ x^2 + (x + 1)^2 = y^2 $",
journal = j-FIB-QUART,
volume = "7",
number = "2",
pages = "180--??",
month = apr,
year = "1969",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:14 MDT 2011",
bibsource = "http://www.fq.math.ca/7-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/7-2/karst.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Adler:1969:TDE,
author = "Irving Adler",
title = "Three {Diophantine} Equations --- {Part II}",
journal = j-FIB-QUART,
volume = "7",
number = "2",
pages = "181--193",
month = apr,
year = "1969",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:14 MDT 2011",
bibsource = "http://www.fq.math.ca/7-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/7-2/adler.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brousseau:1969:LRRb,
author = "Brother Alfred Brousseau",
title = "Linear Recursion Relations --- Lesson Four
Second-Order Linear Recursion Relations",
journal = j-FIB-QUART,
volume = "7",
number = "2",
pages = "194--200",
month = apr,
year = "1969",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:14 MDT 2011",
bibsource = "http://www.fq.math.ca/7-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/7-2/brousseau2-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Iyer:1969:SRF,
author = "Muthulakshmi R. Iyer",
title = "Some Results on {Fibonacci} Quaternions",
journal = j-FIB-QUART,
volume = "7",
number = "2",
pages = "201--210",
month = apr,
year = "1969",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:14 MDT 2011",
bibsource = "http://www.fq.math.ca/7-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/7-2/iyer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brousseau:1969:FLI,
author = "Brother Alfred Brousseau",
title = "{Fibonacci--Lucas} Infinite Series Research Topic",
journal = j-FIB-QUART,
volume = "7",
number = "2",
pages = "211--217",
month = apr,
year = "1969",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:14 MDT 2011",
bibsource = "http://www.fq.math.ca/7-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/7-2/brousseau3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1969:EPSb,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "7",
number = "2",
pages = "218--224",
month = apr,
year = "1969",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:14 MDT 2011",
bibsource = "http://www.fq.math.ca/7-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/7-2/elementary7-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Iyer:1969:NFQ,
author = "Muthulakshmi R. Iyer",
title = "A Note on {Fibonacci} Quaternions",
journal = j-FIB-QUART,
volume = "7",
number = "3",
pages = "225--229",
month = oct,
year = "1969",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:17 MDT 2011",
bibsource = "http://www.fq.math.ca/7-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/7-3/iyer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Vegh:1969:RTW,
author = "Emanuel Vegh",
title = "Remark on a Theorem by {Waksman}",
journal = j-FIB-QUART,
volume = "7",
number = "3",
pages = "230--??",
month = oct,
year = "1969",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:17 MDT 2011",
bibsource = "http://www.fq.math.ca/7-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/7-3/vegh.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Emerson:1969:RSE,
author = "Edgar I. Emerson",
title = "Recurrent Sequences in the Equation {$ D Q^2 = R^2 + N
$}",
journal = j-FIB-QUART,
volume = "7",
number = "3",
pages = "231--242",
month = oct,
year = "1969",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:17 MDT 2011",
bibsource = "http://www.fq.math.ca/7-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/7-3/emerson.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brown:1969:URI,
author = "J. L. {Brown, Jr.}",
title = "Unique Representations of Integers as Sums of Distinct
{Lucas} Numbers",
journal = j-FIB-QUART,
volume = "7",
number = "3",
pages = "243--251",
month = oct,
year = "1969",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:17 MDT 2011",
bibsource = "http://www.fq.math.ca/7-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/7-3/brown.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1969:AM,
author = "Anonymous",
title = "Association Meeting",
journal = j-FIB-QUART,
volume = "7",
number = "3",
pages = "252--??",
month = oct,
year = "1969",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:17 MDT 2011",
bibsource = "http://www.fq.math.ca/7-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/7-3/meeting.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1969:CFN,
author = "V. E. {Hoggatt, Jr.} and D. A. Lind",
title = "Compositions and {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "7",
number = "3",
pages = "253--266",
month = oct,
year = "1969",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:17 MDT 2011",
bibsource = "http://www.fq.math.ca/7-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/7-3/hoggatt.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Erdos:1969:G,
author = "P. Erd{\H{o}}s and I. K{\'a}tai",
title = "On the Growth of $ d_k(n) $",
journal = j-FIB-QUART,
volume = "7",
number = "3",
pages = "267--274",
month = oct,
year = "1969",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:17 MDT 2011",
bibsource = "http://www.fq.math.ca/7-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/7-3/erdos.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Draim:1969:FCF,
author = "N. A. Draim",
title = "$ \pi $ in the Form of a Continued Fraction with
Infinite Terms",
journal = j-FIB-QUART,
volume = "7",
number = "3",
pages = "275--276",
month = oct,
year = "1969",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:17 MDT 2011",
bibsource = "http://www.fq.math.ca/7-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/7-3/draim.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1969:APSc,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "7",
number = "3",
pages = "277--283",
month = oct,
year = "1969",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:17 MDT 2011",
bibsource = "http://www.fq.math.ca/7-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/7-3/advanced7-3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1969:C,
author = "Anonymous",
title = "Corrections",
journal = j-FIB-QUART,
volume = "7",
number = "3",
pages = "284--286",
month = oct,
year = "1969",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:17 MDT 2011",
bibsource = "http://www.fq.math.ca/7-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/7-3/correction.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Trigg:1969:AAD,
author = "Charles W. Trigg",
title = "Associated Additive Decimal Digital Bracelets",
journal = j-FIB-QUART,
volume = "7",
number = "3",
pages = "287--294",
month = oct,
year = "1969",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:17 MDT 2011",
bibsource = "http://www.fq.math.ca/7-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/7-3/trigg.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brousseau:1969:LRRc,
author = "Brother Alfred Brousseau",
title = "Linear Recursion Relations --- Lesson Five Recursion
Relations of Higher Order",
journal = j-FIB-QUART,
volume = "7",
number = "3",
pages = "295--300",
month = oct,
year = "1969",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:17 MDT 2011",
bibsource = "http://www.fq.math.ca/7-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/7-3/brousseau-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bicknell:1969:NFN,
author = "Marjorie Bicknell",
title = "A Note on {Fibonacci} Numbers in High School Algebra",
journal = j-FIB-QUART,
volume = "7",
number = "3",
pages = "301--302",
month = oct,
year = "1969",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:17 MDT 2011",
bibsource = "http://www.fq.math.ca/7-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/7-3/bicknell.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ivie:1969:MFS,
author = "John Ivie",
title = "Multiple {Fibonacci} Sums",
journal = j-FIB-QUART,
volume = "7",
number = "3",
pages = "303--309",
month = oct,
year = "1969",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:17 MDT 2011",
bibsource = "http://www.fq.math.ca/7-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/7-3/ivie.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Alvfeldt:1969:BTR,
author = "Olov Alvfeldt",
title = "A Brain Teaser Related to {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "7",
number = "3",
pages = "310--314",
month = oct,
year = "1969",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:17 MDT 2011",
bibsource = "http://www.fq.math.ca/7-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/7-3/alvfeldt.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Madachy:1969:RMD,
author = "Joseph S. Madachy",
title = "Recreational Mathematics --- ``Difference Series''
Resulting from Sieving Primes",
journal = j-FIB-QUART,
volume = "7",
number = "3",
pages = "315--318",
month = oct,
year = "1969",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:17 MDT 2011",
bibsource = "http://www.fq.math.ca/7-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/7-3/madachy.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Jaiswal:1969:DIG,
author = "D. V. Jaiswal",
title = "On Determinants Involving Generalized {Fibonacci}
Numbers",
journal = j-FIB-QUART,
volume = "7",
number = "3",
pages = "319--330",
month = oct,
year = "1969",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:17 MDT 2011",
bibsource = "http://www.fq.math.ca/7-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/7-3/jaiswal.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1969:EPSc,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "7",
number = "3",
pages = "331--336",
month = oct,
year = "1969",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:17 MDT 2011",
bibsource = "http://www.fq.math.ca/7-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/7-3/elementary7-3-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Shea:1969:NDN,
author = "Dale D. Shea",
title = "On the Number of Divisions Needed in Finding the
Greatest Common Divisor",
journal = j-FIB-QUART,
volume = "7",
number = "4",
pages = "337--340",
month = nov,
year = "1969",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:19 MDT 2011",
bibsource = "http://www.fq.math.ca/7-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/7-4/shea.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1969:DSG,
author = "V. E. {Hoggatt, Jr.} and Marjorie Bicknell",
title = "Diagonal Sums of Generalized {Pascal} Triangles",
journal = j-FIB-QUART,
volume = "7",
number = "4",
pages = "341--358",
month = nov,
year = "1969",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:19 MDT 2011",
bibsource = "http://www.fq.math.ca/7-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/7-4/hoggatt-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1969:GF,
author = "L. Carlitz",
title = "Generating Functions",
journal = j-FIB-QUART,
volume = "7",
number = "4",
pages = "359--393",
month = nov,
year = "1969",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:19 MDT 2011",
bibsource = "http://www.fq.math.ca/7-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/7-4/carlitz.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bernstein:1969:EDP,
author = "Leon Bernstein and Helmut Hasse",
title = "Explicit Determination of the {Perron} Matrices in
Periodic Algorithms of the {Perron--Jacobi} Type with
Application to Generalized {Fibonacci} Numbers with
Time Impulses",
journal = j-FIB-QUART,
volume = "7",
number = "4",
pages = "394--436",
month = nov,
year = "1969",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:19 MDT 2011",
bibsource = "http://www.fq.math.ca/7-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/7-4/bernstein.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Uppuluri:1969:NGF,
author = "V. R. Rao Uppuluri and John A. Carpenter",
title = "Numbers Generated by the Function $ \exp (1 - e^x) $",
journal = j-FIB-QUART,
volume = "7",
number = "4",
pages = "437--448",
month = nov,
year = "1969",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:19 MDT 2011",
bibsource = "http://www.fq.math.ca/7-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/7-4/uppuluri.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Parberry:1969:RRP,
author = "Edward A. Parberry",
title = "A Recursion Relation for Populations of Diatoms",
journal = j-FIB-QUART,
volume = "7",
number = "5",
pages = "449--456",
month = dec,
year = "1969",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:21 MDT 2011",
bibsource = "http://www.fq.math.ca/7-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/7-5/parberry-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Webb:1969:DPF,
author = "W. A. Webb and E. A. Parberry",
title = "Divisibility Properties of {Fibonacci} Polynomials",
journal = j-FIB-QUART,
volume = "7",
number = "5",
pages = "457--463",
month = dec,
year = "1969",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:21 MDT 2011",
bibsource = "http://www.fq.math.ca/7-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/7-5/webb.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Daykin:1969:CLS,
author = "D. E. Daykin",
title = "On the Completeness of the {Lucas} Sequence",
journal = j-FIB-QUART,
volume = "7",
number = "5",
pages = "464--??",
month = dec,
year = "1969",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:21 MDT 2011",
bibsource = "http://www.fq.math.ca/7-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/7-5/daykin1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kuipers:1969:RPR,
author = "L. Kuipers",
title = "Remark on a Paper by {R. L. Duncan} Concerning the
Uniform Distribution Mod $1$ of the Sequence of the
Logarithms of the {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "7",
number = "5",
pages = "465--466",
month = dec,
year = "1969",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:21 MDT 2011",
bibsource = "http://www.fq.math.ca/7-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/7-5/kuipers-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1969:SPF,
author = "L. Carlitz and J. A. H. Hunter",
title = "Sums of Powers of {Fibonacci} and {Lucas} Numbers",
journal = j-FIB-QUART,
volume = "7",
number = "5",
pages = "467--473",
month = dec,
year = "1969",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:21 MDT 2011",
bibsource = "http://www.fq.math.ca/7-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/7-5/carlitz.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Duncan:1969:NID,
author = "R. L. Duncan",
title = "Note on the Initial Digit Problem",
journal = j-FIB-QUART,
volume = "7",
number = "5",
pages = "474--475",
month = dec,
year = "1969",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:21 MDT 2011",
bibsource = "http://www.fq.math.ca/7-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/7-5/duncan.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{London:1969:FLN,
author = "Hymie London and Raphael Finkelstein",
title = "On {Fibonacci} and {Lucas} Numbers Which are Perfect
Powers",
journal = j-FIB-QUART,
volume = "7",
number = "5",
pages = "476--481",
month = dec,
year = "1969",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:21 MDT 2011",
bibsource = "http://www.fq.math.ca/7-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/7-5/london-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1969:DRP,
author = "V. E. {Hoggatt, Jr.} and D. A. Lind",
title = "The Dying Rabbit Problem",
journal = j-FIB-QUART,
volume = "7",
number = "5",
pages = "482--487",
month = dec,
year = "1969",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:21 MDT 2011",
bibsource = "http://www.fq.math.ca/7-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/7-5/hoggatt.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ahuja:1969:OED,
author = "J. C. Ahuja",
title = "Orthogonal Expansion Derived from the Extreme Value
Distribution",
journal = j-FIB-QUART,
volume = "7",
number = "5",
pages = "488--493",
month = dec,
year = "1969",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:21 MDT 2011",
bibsource = "http://www.fq.math.ca/7-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/7-5/ahuja-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Daykin:1969:RNN,
author = "D. E. Daykin",
title = "Representation of Natural Numbers as Sums of
Generalized {Fibonacci} Numbers --- {II}",
journal = j-FIB-QUART,
volume = "7",
number = "5",
pages = "494--510",
month = dec,
year = "1969",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:21 MDT 2011",
bibsource = "http://www.fq.math.ca/7-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/7-5/daykin2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1969:APSd,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "7",
number = "5",
pages = "511--522",
month = dec,
year = "1969",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:21 MDT 2011",
bibsource = "http://www.fq.math.ca/7-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/7-5/advanced7-5.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Huntley:1969:FA,
author = "H. E. Huntley",
title = "{Fibonacci} and the Atom",
journal = j-FIB-QUART,
volume = "7",
number = "5",
pages = "523--524",
month = dec,
year = "1969",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:21 MDT 2011",
bibsource = "http://www.fq.math.ca/7-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/7-5/huntley.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brousseau:1969:FSC,
author = "Brother Alfred Brousseau",
title = "{Fibonacci} Statistics in Conifers",
journal = j-FIB-QUART,
volume = "7",
number = "5",
pages = "525--532",
month = dec,
year = "1969",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:21 MDT 2011",
bibsource = "http://www.fq.math.ca/7-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/7-5/brousseau1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brousseau:1969:LRRd,
author = "Brother Alfred Brousseau",
title = "Linear Recursion Relations --- Lesson Six Combining
Linear Recursion Relations",
journal = j-FIB-QUART,
volume = "7",
number = "5",
pages = "533--537",
month = dec,
year = "1969",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:21 MDT 2011",
bibsource = "http://www.fq.math.ca/7-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/7-5/brousseau2-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Adler:1969:SP,
author = "Irving Adler",
title = "A Shorter Proof",
journal = j-FIB-QUART,
volume = "7",
number = "5",
pages = "538--??",
month = dec,
year = "1969",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:21 MDT 2011",
bibsource = "http://www.fq.math.ca/7-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/7-5/adler-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{King:1969:FMP,
author = "Bruce W. King and Francis D. Parker",
title = "A {Fibonacci} Matrix and the Permanent Function",
journal = j-FIB-QUART,
volume = "7",
number = "5",
pages = "539--544",
month = dec,
year = "1969",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:21 MDT 2011",
bibsource = "http://www.fq.math.ca/7-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/7-5/king.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1969:EPSd,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "7",
number = "5",
pages = "545--551",
month = dec,
year = "1969",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:21 MDT 2011",
bibsource = "http://www.fq.math.ca/7-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/7-5/elementary7-5.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1969:VI,
author = "Anonymous",
title = "Volume Index",
journal = j-FIB-QUART,
volume = "7",
number = "5",
pages = "552--??",
month = dec,
year = "1969",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:21 MDT 2011",
bibsource = "http://www.fq.math.ca/7-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/7-5/index.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kravitz:1970:LLT,
author = "Sidney Kravitz",
title = "The {Lucas--Lehmer} Test for {Mersenne} Numbers",
journal = j-FIB-QUART,
volume = "8",
number = "1",
pages = "1--3",
month = feb,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:23 MDT 2011",
bibsource = "http://www.fq.math.ca/8-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-1/kravitz.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Arkin:1970:RF,
author = "Joseph Arkin and Richard Pollack",
title = "Recurrence Formulas",
journal = j-FIB-QUART,
volume = "8",
number = "1",
pages = "4--5",
month = feb,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:23 MDT 2011",
bibsource = "http://www.fq.math.ca/8-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-1/arkin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lynch:1970:FNP,
author = "W. C. Lynch",
title = "The $t$-{Fibonacci} Numbers and Polyphase Sorting",
journal = j-FIB-QUART,
volume = "8",
number = "1",
pages = "6--22",
month = feb,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:23 MDT 2011",
bibsource = "http://www.fq.math.ca/8-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-1/lynch.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Daykin:1970:FFN,
author = "D. E. Daykin and L. A. G. Dresel",
title = "Factorization of {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "8",
number = "1",
pages = "23--30",
month = feb,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:23 MDT 2011",
bibsource = "http://www.fq.math.ca/8-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-1/daykin-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gabai:1970:GFS,
author = "Hyman Gabai",
title = "Generalized {Fibonacci} $k$-Sequences",
journal = j-FIB-QUART,
volume = "8",
number = "1",
pages = "31--38",
month = feb,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:23 MDT 2011",
bibsource = "http://www.fq.math.ca/8-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-1/gabai.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Weinshenk:1970:SEO,
author = "R. J. Weinshenk and V. E. {Hoggatt, Jr.}",
title = "On Solving {$ C_{n + 2} = C_{n + 1} + C_n + n^m $} by
Expansions and Operators",
journal = j-FIB-QUART,
volume = "8",
number = "1",
pages = "39--48",
month = feb,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:23 MDT 2011",
bibsource = "http://www.fq.math.ca/8-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-1/weinshenk-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Parberry:1970:PPP,
author = "Edward A. Parberry",
title = "On Primes and Pseudo-Primes Related to the {Fibonacci}
Sequence",
journal = j-FIB-QUART,
volume = "8",
number = "1",
pages = "49--60",
month = feb,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:23 MDT 2011",
bibsource = "http://www.fq.math.ca/8-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-1/parberry.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1970:SFL,
author = "L. Carlitz and H. H. Ferns",
title = "Some {Fibonacci} and {Lucas} Identities",
journal = j-FIB-QUART,
volume = "8",
number = "1",
pages = "61--73",
month = feb,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:23 MDT 2011",
bibsource = "http://www.fq.math.ca/8-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-1/carlitz.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1970:APSa,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "8",
number = "1",
pages = "74--82",
month = feb,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:23 MDT 2011",
bibsource = "http://www.fq.math.ca/8-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-1/advanced8-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hansen:1970:APN,
author = "Rodney T. Hansen",
title = "Arithmetic of Pentagonal Numbers",
journal = j-FIB-QUART,
volume = "8",
number = "1",
pages = "83--86",
month = feb,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:23 MDT 2011",
bibsource = "http://www.fq.math.ca/8-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-1/hansen.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1970:Ca,
author = "Anonymous",
title = "Corrections",
journal = j-FIB-QUART,
volume = "8",
number = "1",
pages = "87--??",
month = feb,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:23 MDT 2011",
bibsource = "http://www.fq.math.ca/8-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-1/corrections-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1970:LE,
author = "Anonymous",
title = "Letters to the Editor",
journal = j-FIB-QUART,
volume = "8",
number = "1",
pages = "88--89",
month = feb,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:23 MDT 2011",
bibsource = "http://www.fq.math.ca/8-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-1/letters.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anderson:1970:SCP,
author = "Jean H. Anderson",
title = "Spirals, Checkerboards, Polyominoes, and the
{Fibonacci} Sequence",
journal = j-FIB-QUART,
volume = "8",
number = "1",
pages = "90--95",
month = feb,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:23 MDT 2011",
bibsource = "http://www.fq.math.ca/8-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-1/anderson.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brousseau:1970:LRRa,
author = "Brother Alfred Brousseau",
title = "Linear Recursion Relations --- Lesson Seven Analyzing
Linear Recursion Relations",
journal = j-FIB-QUART,
volume = "8",
number = "1",
pages = "96--101",
month = feb,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:23 MDT 2011",
bibsource = "http://www.fq.math.ca/8-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-1/brousseau-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Harris:1970:AFG,
author = "V. C. Harris",
title = "An Algorithm for Finding the Greatest Common Divisor",
journal = j-FIB-QUART,
volume = "8",
number = "1",
pages = "102--103",
month = feb,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:23 MDT 2011",
bibsource = "http://www.fq.math.ca/8-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-1/harris1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Harris:1970:NND,
author = "V. C. Harris",
title = "Note on the Number of Divisions Required in Finding
the Greatest Common Divisor",
journal = j-FIB-QUART,
volume = "8",
number = "1",
pages = "104--??",
month = feb,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:23 MDT 2011",
bibsource = "http://www.fq.math.ca/8-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-1/harris2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1970:EPSa,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "8",
number = "1",
pages = "105--112",
month = feb,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:23 MDT 2011",
bibsource = "http://www.fq.math.ca/8-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-1/elementary8-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1970:FRI,
author = "L. Carlitz",
title = "{Fibonacci} Representations --- {II}",
journal = j-FIB-QUART,
volume = "8",
number = "2",
pages = "113--134",
month = mar,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:25 MDT 2011",
bibsource = "http://www.fq.math.ca/8-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-2/carlitz.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Long:1970:LAS,
author = "C. T. Long and J. H. Jordan",
title = "A Limited Arithmetic on Simple Continued Fractions ---
{II}",
journal = j-FIB-QUART,
volume = "8",
number = "2",
pages = "135--157",
month = mar,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:25 MDT 2011",
bibsource = "http://www.fq.math.ca/8-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-2/long.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1970:CTG,
author = "Verner E. {Hoggatt, Jr.}",
title = "Convolution Triangles for Generalized {Fibonacci}
Numbers",
journal = j-FIB-QUART,
volume = "8",
number = "2",
pages = "158--171",
month = mar,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:25 MDT 2011",
bibsource = "http://www.fq.math.ca/8-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-2/hoggatt.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Sitgreaves:1970:SPS,
author = "Rosedith Sitgreaves",
title = "Some Properties of {Stirling} Numbers of the Second
Kind",
journal = j-FIB-QUART,
volume = "8",
number = "2",
pages = "172--181",
month = mar,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:25 MDT 2011",
bibsource = "http://www.fq.math.ca/8-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-2/sitgreaves.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{DeCarli:1970:GFS,
author = "D. J. DeCarli",
title = "A Generalized {Fibonacci} Sequence over an Arbitrary
Ring",
journal = j-FIB-QUART,
volume = "8",
number = "2",
pages = "182--184",
month = mar,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:25 MDT 2011",
bibsource = "http://www.fq.math.ca/8-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-2/decarli-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Zaremba:1970:RLG,
author = "S. K. Zaremba",
title = "A Remarkable Lattice Generated by {Fibonacci}
Numbers",
journal = j-FIB-QUART,
volume = "8",
number = "2",
pages = "185--198",
month = mar,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:25 MDT 2011",
bibsource = "http://www.fq.math.ca/8-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-2/zaremba.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Arkin:1970:EFN,
author = "Joseph Arkin and Verner E. {Hoggatt, Jr.}",
title = "An Extension of {Fibonacci} Numbers --- {II}",
journal = j-FIB-QUART,
volume = "8",
number = "2",
pages = "199--216",
month = mar,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:25 MDT 2011",
bibsource = "http://www.fq.math.ca/8-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-2/arkin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bruckner:1970:FSM,
author = "Gottfried Bruckner",
title = "{Fibonacci} Sequence Modulo a Prime $ p \equiv 3 \pmod
{4} $",
journal = j-FIB-QUART,
volume = "8",
number = "2",
pages = "217--220",
month = mar,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:25 MDT 2011",
bibsource = "http://www.fq.math.ca/8-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-2/bruckner.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Draim:1970:SPR,
author = "N. A. Draim and Marjorie Bicknell",
title = "Summation of Powers of Roots of Special Equations",
journal = j-FIB-QUART,
volume = "8",
number = "2",
pages = "221--224",
month = mar,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:25 MDT 2011",
bibsource = "http://www.fq.math.ca/8-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-2/draim.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Schwenk:1970:TG,
author = "Allen J. Schwenk",
title = "Take-Away Games",
journal = j-FIB-QUART,
volume = "8",
number = "3",
pages = "225--234",
month = apr,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:27 MDT 2011",
bibsource = "http://www.fq.math.ca/8-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-3/schwenk-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Church:1970:ECT,
author = "C. A. {Church, Jr.}",
title = "On the Enumeration of Certain Triangular Arrays",
journal = j-FIB-QUART,
volume = "8",
number = "3",
pages = "235--241",
month = apr,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:27 MDT 2011",
bibsource = "http://www.fq.math.ca/8-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-3/church.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cox:1970:SUC,
author = "Nannette Cox and John W. Phillips and V. E. {Hoggatt,
Jr.}",
title = "Some Universal Counterexamples",
journal = j-FIB-QUART,
volume = "8",
number = "3",
pages = "242--247",
month = apr,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:27 MDT 2011",
bibsource = "http://www.fq.math.ca/8-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-3/cox.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1970:Cb,
author = "Anonymous",
title = "Corrections",
journal = j-FIB-QUART,
volume = "8",
number = "3",
pages = "248--??",
month = apr,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:27 MDT 2011",
bibsource = "http://www.fq.math.ca/8-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-3/corrections.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1970:SGF,
author = "L. Carlitz",
title = "Some Generalized {Fibonacci} Identities",
journal = j-FIB-QUART,
volume = "8",
number = "3",
pages = "249--254",
month = apr,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:27 MDT 2011",
bibsource = "http://www.fq.math.ca/8-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-3/carlitz.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Yap:1970:SRR,
author = "H. P. Yap",
title = "A Simple Recurrence Relation on Finite {Abelian}
Groups",
journal = j-FIB-QUART,
volume = "8",
number = "3",
pages = "255--263",
month = apr,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:27 MDT 2011",
bibsource = "http://www.fq.math.ca/8-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-3/yap.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Singmaster:1970:SCP,
author = "David Singmaster",
title = "Some Counterexamples and Problems on Linear Recurrence
Relations",
journal = j-FIB-QUART,
volume = "8",
number = "3",
pages = "264--267",
month = apr,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:27 MDT 2011",
bibsource = "http://www.fq.math.ca/8-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-3/singmaster-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1970:APSb,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "8",
number = "3",
pages = "268--279",
month = apr,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:27 MDT 2011",
bibsource = "http://www.fq.math.ca/8-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-3/advanced8-3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brousseau:1970:BRB,
author = "Brother Alfred Brousseau",
title = "Book Review: {{\booktitle{Leonard of Pisa and the new
mathematics of the Middle Ages}}, by Joseph Gies and
Frances Gies}",
journal = j-FIB-QUART,
volume = "8",
number = "3",
pages = "280--??",
month = apr,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:27 MDT 2011",
bibsource = "http://www.fq.math.ca/8-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "See \cite{Gies:1969:LPN,Gies:1983:LPN}.",
URL = "http://www.fq.math.ca/Scanned/8-3/review-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Moore:1970:MUP,
author = "Richard E. M. Moore",
title = "Mosaic Units: Pattern Sizes in Ancient Mosaics",
journal = j-FIB-QUART,
volume = "8",
number = "3",
pages = "281--310",
month = apr,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:27 MDT 2011",
bibsource = "http://www.fq.math.ca/8-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-3/moore-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brousseau:1970:LRRb,
author = "Brother Alfred Brousseau",
title = "Linear Recursion Relations --- Lesson Eight Asymptotic
Ratios in Recursion Relations",
journal = j-FIB-QUART,
volume = "8",
number = "3",
pages = "311--316",
month = apr,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:27 MDT 2011",
bibsource = "http://www.fq.math.ca/8-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-3/brousseau-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Karst:1970:MSC,
author = "Edgar Karst",
title = "Magic Squares Consisting of Primes in {A. P.}",
journal = j-FIB-QUART,
volume = "8",
number = "3",
pages = "317--324",
month = apr,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:27 MDT 2011",
bibsource = "http://www.fq.math.ca/8-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-3/karst.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1970:EPSb,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "8",
number = "3",
pages = "325--334",
month = apr,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:27 MDT 2011",
bibsource = "http://www.fq.math.ca/8-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-3/elementary8-3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Fifield:1970:UD,
author = "Dorothy Fifield",
title = "Ups and Downs",
journal = j-FIB-QUART,
volume = "8",
number = "3",
pages = "335--??",
month = apr,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:27 MDT 2011",
bibsource = "http://www.fq.math.ca/8-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-3/fifield.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1970:AM,
author = "Anonymous",
title = "Association Meeting",
journal = j-FIB-QUART,
volume = "8",
number = "3",
pages = "336--??",
month = apr,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:27 MDT 2011",
bibsource = "http://www.fq.math.ca/8-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-3/meeting.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Suryanarayana:1970:TCO,
author = "D. Suryanarayana and Peter {Hagis, Jr.}",
title = "A Theorem Concerning Odd Perfect Numbers",
journal = j-FIB-QUART,
volume = "8",
number = "4",
pages = "337--346",
month = oct,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:29 MDT 2011",
bibsource = "http://www.fq.math.ca/8-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-4/suryanarayana-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Daykin:1970:AAG,
author = "D. E. Daykin",
title = "An Addition Algorithm for Greatest Common Divisor",
journal = j-FIB-QUART,
volume = "8",
number = "4",
pages = "347--349",
month = oct,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:29 MDT 2011",
bibsource = "http://www.fq.math.ca/8-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-4/daykin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Zeitlin:1970:DWE,
author = "David Zeitlin",
title = "On Determinant Whose Elements are Products of
Recursive Sequences",
journal = j-FIB-QUART,
volume = "8",
number = "4",
pages = "350--359",
month = oct,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:29 MDT 2011",
bibsource = "http://www.fq.math.ca/8-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-4/zeitlin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1970:ALT,
author = "Verner E. {Hoggatt, Jr.}",
title = "An Application of the {Lucas} Triangle",
journal = j-FIB-QUART,
volume = "8",
number = "4",
pages = "360--364",
month = oct,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:29 MDT 2011",
bibsource = "http://www.fq.math.ca/8-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-4/hoggatt-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Maier:1970:OOC,
author = "Eugene A. Maier",
title = "One-One Correspondences Between the Set {$N$} of
Positive Integers and the Sets {$ N^n $} and {$ \cup_{n
\in N} N^n $}",
journal = j-FIB-QUART,
volume = "8",
number = "4",
pages = "365--370",
month = oct,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:29 MDT 2011",
bibsource = "http://www.fq.math.ca/8-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-4/maier.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Raphael:1970:SRT,
author = "Brother L. Raphael",
title = "Some Results in Trigonometry",
journal = j-FIB-QUART,
volume = "8",
number = "4",
pages = "371--??",
month = oct,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:29 MDT 2011",
bibsource = "http://www.fq.math.ca/8-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-4/raphael-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Buschman:1970:DSM,
author = "R. G. Buschman",
title = "The ``Difference Series'' of {Madachy}",
journal = j-FIB-QUART,
volume = "8",
number = "4",
pages = "372--374",
month = oct,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:29 MDT 2011",
bibsource = "http://www.fq.math.ca/8-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-4/buschman.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Stolarsky:1970:IMG,
author = "Kenneth B. Stolarsky",
title = "Infinitely Many Generalizations of {Abel}'s Partial
Summation Identity",
journal = j-FIB-QUART,
volume = "8",
number = "4",
pages = "375--379",
month = oct,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:29 MDT 2011",
bibsource = "http://www.fq.math.ca/8-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-4/stolarsky-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lu:1970:SND,
author = "K. U. Lu",
title = "The Smallest Number with Divisors a Product of
Distinct Primes",
journal = j-FIB-QUART,
volume = "8",
number = "4",
pages = "380--382",
month = oct,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:29 MDT 2011",
bibsource = "http://www.fq.math.ca/8-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-4/lu.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1970:APSc,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "8",
number = "4",
pages = "383--392",
month = oct,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:29 MDT 2011",
bibsource = "http://www.fq.math.ca/8-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-4/advanced8-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Glaze:1970:AMP,
author = "Janet Waterman Glaze",
title = "Angle Multisection by Parallel Straightedges
(Recreational Mathematics Edited by {Joseph S.
Madachy})",
journal = j-FIB-QUART,
volume = "8",
number = "4",
pages = "393--396",
month = oct,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:29 MDT 2011",
bibsource = "http://www.fq.math.ca/8-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-4/glaze.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Spickerman:1970:NFF,
author = "W. R. Spickerman",
title = "A Note on {Fibonacci} Functions",
journal = j-FIB-QUART,
volume = "8",
number = "4",
pages = "397--401",
month = oct,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:29 MDT 2011",
bibsource = "http://www.fq.math.ca/8-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-4/spickerman.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cohn:1970:CDS,
author = "Ernst M. Cohn",
title = "Complete {Diophantine} Solution of the {Pythagorean}
Triple",
journal = j-FIB-QUART,
volume = "8",
number = "4",
pages = "402--405",
month = oct,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:29 MDT 2011",
bibsource = "http://www.fq.math.ca/8-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-4/cohn.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hunter:1970:FR,
author = "J. A. H. Hunter",
title = "{Fibonacci} to the Rescue",
journal = j-FIB-QUART,
volume = "8",
number = "4",
pages = "406--??",
month = oct,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:29 MDT 2011",
bibsource = "http://www.fq.math.ca/8-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-4/hunter-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bicknell:1970:PFN,
author = "Marjorie Bicknell",
title = "A Primer for the {Fibonacci} Numbers --- {Part VII}",
journal = j-FIB-QUART,
volume = "8",
number = "4",
pages = "407--420",
month = oct,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:29 MDT 2011",
bibsource = "http://www.fq.math.ca/8-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-4/bicknell.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Arkin:1970:ETE,
author = "Joseph Arkin",
title = "An Extension of a Theorem of {Euler}",
journal = j-FIB-QUART,
volume = "8",
number = "4",
pages = "421--427",
month = oct,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:29 MDT 2011",
bibsource = "http://www.fq.math.ca/8-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-4/arkin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Read:1970:FSS,
author = "B. A. Read",
title = "{Fibonacci} Series in the Solar System",
journal = j-FIB-QUART,
volume = "8",
number = "4",
pages = "428--438",
month = oct,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:29 MDT 2011",
bibsource = "http://www.fq.math.ca/8-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-4/read-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brousseau:1970:LA,
author = "Brother Alfred Brousseau",
title = "A {Lucas} Analogue",
journal = j-FIB-QUART,
volume = "8",
number = "4",
pages = "439--442",
month = oct,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:29 MDT 2011",
bibsource = "http://www.fq.math.ca/8-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-4/brousseau.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1970:EPSc,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "8",
number = "4",
pages = "443--448",
month = oct,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:29 MDT 2011",
bibsource = "http://www.fq.math.ca/8-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-4/elementary8-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lind:1970:FC,
author = "D. A. Lind",
title = "A {Fibonacci} Circulant",
journal = j-FIB-QUART,
volume = "8",
number = "5",
pages = "449--455",
month = dec,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:31 MDT 2011",
bibsource = "http://www.fq.math.ca/8-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-5/lind.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1970:CPG,
author = "Verner E. {Hoggatt, Jr.}",
title = "Combinatorial Problems for Generalized {Fibonacci}
Numbers",
journal = j-FIB-QUART,
volume = "8",
number = "5",
pages = "456--462",
month = dec,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:31 MDT 2011",
bibsource = "http://www.fq.math.ca/8-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-5/hoggatt.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Finkelstein:1970:ARS,
author = "Raphael Finkelstein and Edgar Karst and Hymie London",
title = "Application of Recursive Sequences to {Diophantine}
Equations",
journal = j-FIB-QUART,
volume = "8",
number = "5",
pages = "463--469",
month = dec,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:31 MDT 2011",
bibsource = "http://www.fq.math.ca/8-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-5/finkelstein.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1970:CDE,
author = "Raymond E. Whitney",
title = "On a Class of Difference Equations",
journal = j-FIB-QUART,
volume = "8",
number = "5",
pages = "470--474",
month = dec,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:31 MDT 2011",
bibsource = "http://www.fq.math.ca/8-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-5/whitney.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Beverage:1970:CDT,
author = "David G. Beverage",
title = "On a Conjecture of {Dmitri Thoro}",
journal = j-FIB-QUART,
volume = "8",
number = "5",
pages = "475--??",
month = dec,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:31 MDT 2011",
bibsource = "http://www.fq.math.ca/8-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-5/beverage-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{DeLeon:1970:FNC,
author = "Morris Jack DeLeon",
title = "The {Fibonacci} Numbers Considered as a {Pisot}
Sequence",
journal = j-FIB-QUART,
volume = "8",
number = "5",
pages = "476--480",
month = dec,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:31 MDT 2011",
bibsource = "http://www.fq.math.ca/8-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-5/deleon.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1970:FRC,
author = "Anonymous",
title = "{Fall}'s Research Conference",
journal = j-FIB-QUART,
volume = "8",
number = "5",
pages = "481--??",
month = dec,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:31 MDT 2011",
bibsource = "http://www.fq.math.ca/8-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-5/conference.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brown:1970:MOU,
author = "J. L. {Brown, Jr.} and R. L. Duncan",
title = "Modulo One Uniform Distribution of the Sequence of
Logarithms of Certain Recursive Sequences",
journal = j-FIB-QUART,
volume = "8",
number = "5",
pages = "482--486",
month = dec,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:31 MDT 2011",
bibsource = "http://www.fq.math.ca/8-5.html;
https://www.math.utah.edu/pub/tex/bib/benfords-law.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "See remark \cite{Kuipers:1973:RPD}.",
URL = "http://www.fq.math.ca/Scanned/8-5/brown.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1970:APSd,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "8",
number = "5",
pages = "487--497",
month = dec,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:31 MDT 2011",
bibsource = "http://www.fq.math.ca/8-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-5/advanced8-5.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Beverage:1970:LE,
author = "David G. Beverage",
title = "Letter to the Editor",
journal = j-FIB-QUART,
volume = "8",
number = "5",
pages = "498--??",
month = dec,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:31 MDT 2011",
bibsource = "http://www.fq.math.ca/8-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-5/letter.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlson:1970:DHT,
author = "John H. Carlson",
title = "Determination of {Heronian} Triangles",
journal = j-FIB-QUART,
volume = "8",
number = "5",
pages = "499--506",
month = dec,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:31 MDT 2011",
bibsource = "http://www.fq.math.ca/8-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-5/carlson-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Onderdonk:1970:PFN,
author = "Philip B. Onderdonk",
title = "Pineapples and {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "8",
number = "5",
pages = "507--508",
month = dec,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:31 MDT 2011",
bibsource = "http://www.fq.math.ca/8-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-5/onderdonk.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Williams:1970:PT,
author = "J. M. {Williams, Jr.}",
title = "The Powers of Three",
journal = j-FIB-QUART,
volume = "8",
number = "5",
pages = "509--515",
month = dec,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:31 MDT 2011",
bibsource = "http://www.fq.math.ca/8-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-5/williams.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Crenshaw:1970:SRO,
author = "Joe R. Crenshaw",
title = "Some Remarks on the Ordering of General {Fibonacci}
Sequences",
journal = j-FIB-QUART,
volume = "8",
number = "5",
pages = "516--521",
month = dec,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:31 MDT 2011",
bibsource = "http://www.fq.math.ca/8-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-5/crenshaw.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lewis:1970:EVM,
author = "John B. Lewis",
title = "The Educational Value in Mathematics",
journal = j-FIB-QUART,
volume = "8",
number = "5",
pages = "522--529",
month = dec,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:31 MDT 2011",
bibsource = "http://www.fq.math.ca/8-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-5/lewis.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1970:E,
author = "Anonymous",
title = "Errata",
journal = j-FIB-QUART,
volume = "8",
number = "5",
pages = "530--??",
month = dec,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:31 MDT 2011",
bibsource = "http://www.fq.math.ca/8-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-5/errata-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Arkin:1970:CAP,
author = "Joseph Arkin",
title = "Certain Arithmetical Properties of $ 0.5 k (a k + 1)
$",
journal = j-FIB-QUART,
volume = "8",
number = "5",
pages = "531--537",
month = dec,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:31 MDT 2011",
bibsource = "http://www.fq.math.ca/8-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-5/arkin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Frankel:1970:FNP,
author = "Edward T. Frankel",
title = "{Fibonacci} Numbers as Paths of Rooks on a
Chessboard",
journal = j-FIB-QUART,
volume = "8",
number = "5",
pages = "538--541",
month = dec,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:31 MDT 2011",
bibsource = "http://www.fq.math.ca/8-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-5/frankel.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1970:EPSd,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "8",
number = "5",
pages = "542--551",
month = dec,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:31 MDT 2011",
bibsource = "http://www.fq.math.ca/8-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-5/elementary8-5.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1970:VI,
author = "Anonymous",
title = "Volume Index",
journal = j-FIB-QUART,
volume = "8",
number = "5",
pages = "552--??",
month = dec,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:31 MDT 2011",
bibsource = "http://www.fq.math.ca/8-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-5/index.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1971:TFM,
author = "V. E. {Hoggatt, Jr.} and John W. Phillips and H. T.
{Leonard, Jr.}",
title = "Twenty-Four Master Identities",
journal = j-FIB-QUART,
volume = "9",
number = "1",
pages = "1--17",
month = feb,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:33 MDT 2011",
bibsource = "http://www.fq.math.ca/9-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-1/hoggatt.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Al-Salam:1971:FNE,
author = "W. A. Al-Salam and A. Verma",
title = "{Fibonacci} Numbers and {Eulerian} Polynomials",
journal = j-FIB-QUART,
volume = "9",
number = "1",
pages = "18--22",
month = feb,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:33 MDT 2011",
bibsource = "http://www.fq.math.ca/9-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-1/alsalam.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Theusch:1971:CM,
author = "Sister Christelle Theusch",
title = "Composition of {$ \Phi_2 (x) $} Modulo $m$",
journal = j-FIB-QUART,
volume = "9",
number = "1",
pages = "23--27",
month = feb,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:33 MDT 2011",
bibsource = "http://www.fq.math.ca/9-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-1/theusch.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1971:SSF,
author = "L. Carlitz",
title = "Some Summation Formulas",
journal = j-FIB-QUART,
volume = "9",
number = "1",
pages = "28--33",
month = feb,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:33 MDT 2011",
bibsource = "http://www.fq.math.ca/9-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-1/carlitz.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Zeitlin:1971:LE,
author = "David Zeitlin",
title = "Letter to the Editor",
journal = j-FIB-QUART,
volume = "9",
number = "1",
pages = "34--??",
month = feb,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:33 MDT 2011",
bibsource = "http://www.fq.math.ca/9-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-1/zeitlin-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Desmond:1971:IFS,
author = "James E. Desmond",
title = "On Iterative {Fibonacci} Subscripts",
journal = j-FIB-QUART,
volume = "9",
number = "1",
pages = "35--40",
month = feb,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:33 MDT 2011",
bibsource = "http://www.fq.math.ca/9-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-1/desmond.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Giuli:1971:BFL,
author = "Robert M. Giuli",
title = "{Binet} Forms by {Laplace} Transform",
journal = j-FIB-QUART,
volume = "9",
number = "1",
pages = "41--50",
month = feb,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:33 MDT 2011",
bibsource = "http://www.fq.math.ca/9-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-1/giuli-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1971:SSS,
author = "A. P. Hillman and P. L. Mana and C. T. McAbee",
title = "A Symmetric Substitute for {Stirling} Numbers",
journal = j-FIB-QUART,
volume = "9",
number = "1",
pages = "51--60",
month = feb,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:33 MDT 2011",
bibsource = "http://www.fq.math.ca/9-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-1/hillman-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1971:APSa,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "9",
number = "1",
pages = "61--73",
month = feb,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:33 MDT 2011",
bibsource = "http://www.fq.math.ca/9-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-1/advanced9-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bicknell:1971:PFNa,
author = "Marjorie Bicknell",
title = "A Primer for {Fibonacci} Numbers: {Part VIII}",
journal = j-FIB-QUART,
volume = "9",
number = "1",
pages = "74--80",
month = feb,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:33 MDT 2011",
bibsource = "http://www.fq.math.ca/9-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-1/bicknell.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1971:E,
author = "Anonymous",
title = "Errata",
journal = j-FIB-QUART,
volume = "9",
number = "1",
pages = "81--??",
month = feb,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:33 MDT 2011",
bibsource = "http://www.fq.math.ca/9-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-1/errata.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wlodarski:1971:PEP,
author = "J. Wlodarski",
title = "The Possible End of the Periodic Table of Elements and
the {``Golden Ratio''}",
journal = j-FIB-QUART,
volume = "9",
number = "1",
pages = "82--??",
month = feb,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:33 MDT 2011",
bibsource = "http://www.fq.math.ca/9-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-1/wlodarski1-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Umansky:1971:PR,
author = "Harlan Umansky",
title = "{Pythagoras} Revisited",
journal = j-FIB-QUART,
volume = "9",
number = "1",
pages = "83--86",
month = feb,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:33 MDT 2011",
bibsource = "http://www.fq.math.ca/9-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-1/umansky.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wlodarski:1971:FLN,
author = "J. Wlodarski",
title = "{Fibonacci} and {Lucas} Numbers Tend to Obey
{Benford's Law}",
journal = j-FIB-QUART,
volume = "9",
number = "1",
pages = "87--88",
month = feb,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:33 MDT 2011",
bibsource = "http://www.fq.math.ca/9-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-1/wlodarski2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Dudley:1971:GCD,
author = "Underwood Dudley and Bessie Tucker",
title = "Greatest Common Divisors in Altered {Fibonacci}
Sequences",
journal = j-FIB-QUART,
volume = "9",
number = "1",
pages = "89--92",
month = feb,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:33 MDT 2011",
bibsource = "http://www.fq.math.ca/9-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-1/dudley.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lafer:1971:DST,
author = "Phil Lafer",
title = "Discovering the Square-Triangular Numbers",
journal = j-FIB-QUART,
volume = "9",
number = "1",
pages = "93--105",
month = feb,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:33 MDT 2011",
bibsource = "http://www.fq.math.ca/9-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-1/lafer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1971:EPSa,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "9",
number = "1",
pages = "106--112",
month = feb,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:33 MDT 2011",
bibsource = "http://www.fq.math.ca/9-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-1/elementary9-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lind:1971:DIG,
author = "D. A. Lind",
title = "A Determinant Involving Generalized Binomial
Coefficients",
journal = j-FIB-QUART,
volume = "9",
number = "2",
pages = "113--119",
month = apr,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:35 MDT 2011",
bibsource = "http://www.fq.math.ca/9-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-2/lind-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1971:HHS,
author = "V. E. {Hoggatt, Jr.} and Walter Hansell",
title = "The Hidden Hexagon Squares",
journal = j-FIB-QUART,
volume = "9",
number = "2",
pages = "120--??",
month = apr,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:35 MDT 2011",
bibsource = "http://www.fq.math.ca/9-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-2/hoggatt1-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1971:SSF,
author = "Verner E. {Hoggatt, Jr.}",
title = "Some Special {Fibonacci} and {Lucas} Generating
Functions",
journal = j-FIB-QUART,
volume = "9",
number = "2",
pages = "121--133",
month = apr,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:35 MDT 2011",
bibsource = "http://www.fq.math.ca/9-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-2/hoggatt2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1971:APSb,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "9",
number = "2",
pages = "134--145",
month = apr,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:35 MDT 2011",
bibsource = "http://www.fq.math.ca/9-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-2/advanced9-2-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wlodarski:1971:RPP,
author = "J. Wlodarski",
title = "Regular Polyhedrons and {Pascal}'s Triangle",
journal = j-FIB-QUART,
volume = "9",
number = "2",
pages = "146--??",
month = apr,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:35 MDT 2011",
bibsource = "http://www.fq.math.ca/9-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-2/wlodarski1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Adler:1971:SCN,
author = "Irving Adler",
title = "Sequences with a Characteristic Number",
journal = j-FIB-QUART,
volume = "9",
number = "2",
pages = "147--162",
month = apr,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:35 MDT 2011",
bibsource = "http://www.fq.math.ca/9-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-2/adler.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Munzenrider:1971:NA,
author = "Joseph P. Munzenrider",
title = "A New Anthesis",
journal = j-FIB-QUART,
volume = "9",
number = "2",
pages = "163--176",
month = apr,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:35 MDT 2011",
bibsource = "http://www.fq.math.ca/9-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-2/munzenrider.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{LaBarbera:1971:FLE,
author = "Sal LaBarbera",
title = "{Fibonacci}, {Lucas} and the {Egyptians}",
journal = j-FIB-QUART,
volume = "9",
number = "2",
pages = "177--187",
month = apr,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:35 MDT 2011",
bibsource = "http://www.fq.math.ca/9-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-2/labarbera-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wlodarski:1971:GRE,
author = "J. Wlodarski",
title = "The Golden Ratio in an Electrical Network",
journal = j-FIB-QUART,
volume = "9",
number = "2",
pages = "188--??",
month = apr,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:35 MDT 2011",
bibsource = "http://www.fq.math.ca/9-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-2/wlodarski2-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Trigg:1971:KRT,
author = "Charles W. Trigg",
title = "{Kaprekar}'s Routine with Two-Digit Integers",
journal = j-FIB-QUART,
volume = "9",
number = "2",
pages = "189--194",
month = apr,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:35 MDT 2011",
bibsource = "http://www.fq.math.ca/9-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-2/trigg.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wlodarski:1971:NP,
author = "J. Wlodarski",
title = "A Number Problem",
journal = j-FIB-QUART,
volume = "9",
number = "2",
pages = "195--??",
month = apr,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:35 MDT 2011",
bibsource = "http://www.fq.math.ca/9-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-2/wlodarski3-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bauer:1971:NBT,
author = "R. L. Bauer",
title = "Numbers that are Both Triangular and Square Their
Triangular Roots and Square Roots",
journal = j-FIB-QUART,
volume = "9",
number = "2",
pages = "196--198",
month = apr,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:35 MDT 2011",
bibsource = "http://www.fq.math.ca/9-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-2/bauer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Pedersen:1971:AET,
author = "Jean J. Pedersen",
title = "Asymptotic {Euclidean} Type Constructions without
{Euclidean} Tools (Recreational Mathematics Edited by
{Joseph S. Madachy})",
journal = j-FIB-QUART,
volume = "9",
number = "2",
pages = "199--216",
month = apr,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:35 MDT 2011",
bibsource = "http://www.fq.math.ca/9-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-2/pedersen.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1971:EPSb,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "9",
number = "2",
pages = "217--224",
month = apr,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:35 MDT 2011",
bibsource = "http://www.fq.math.ca/9-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-2/elementary9-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Abramson:1971:CCO,
author = "Morton Abramson",
title = "Combinations, Compositions and Occupancy Problems",
journal = j-FIB-QUART,
volume = "9",
number = "3",
pages = "225--236",
month = may,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:37 MDT 2011",
bibsource = "http://www.fq.math.ca/9-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-3/abramson-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Davis:1971:WFS,
author = "T. Antony Davis",
title = "Why {Fibonacci} Sequence for Palm Leaf Spirals?",
journal = j-FIB-QUART,
volume = "9",
number = "3",
pages = "237--244",
month = may,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:37 MDT 2011",
bibsource = "http://www.fq.math.ca/9-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-3/davis1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:1971:PI,
author = "A. F. Horadam",
title = "{Pell} Identities",
journal = j-FIB-QUART,
volume = "9",
number = "3",
pages = "245--252",
month = may,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:37 MDT 2011",
bibsource = "http://www.fq.math.ca/9-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-3/horadam-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Davis:1971:FSA,
author = "T. Antony Davis and T. K. Bose",
title = "{Fibonacci} System in Aroids",
journal = j-FIB-QUART,
volume = "9",
number = "3",
pages = "253--263",
month = may,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:37 MDT 2011",
bibsource = "http://www.fq.math.ca/9-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-3/davis2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Walton:1971:SPC,
author = "J. E. Walton and A. F. Horadam",
title = "Some Properties of Certain Generalized {Fibonacci}
Matrices",
journal = j-FIB-QUART,
volume = "9",
number = "3",
pages = "264--276",
month = may,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:37 MDT 2011",
bibsource = "http://www.fq.math.ca/9-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-3/walton.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gougenheim:1971:ALS,
author = "Andr{\'e} Gougenheim",
title = "About the Linear Sequence of the Integers Such That
Each Term is the Sum of the Two Preceding",
journal = j-FIB-QUART,
volume = "9",
number = "3",
pages = "277--295",
month = may,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:37 MDT 2011",
bibsource = "http://www.fq.math.ca/9-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-3/gougenheim-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rumney:1971:RBS,
author = "Max Rumney and E. J. F. Primrose",
title = "Relations Between a Sequence of {Fibonacci} Type and
the Sequence of its Partial Sums",
journal = j-FIB-QUART,
volume = "9",
number = "3",
pages = "296--298",
month = may,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:37 MDT 2011",
bibsource = "http://www.fq.math.ca/9-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-3/rumney.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Shannon:1971:RGF,
author = "A. G. Shannon and A. F. Horadam",
title = "Reciprocals of Generalized {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "9",
number = "3",
pages = "299--306",
month = may,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:37 MDT 2011",
bibsource = "http://www.fq.math.ca/9-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-3/shannon1-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Shannon:1971:GPT,
author = "A. G. Shannon and A. F. Horadam",
title = "A Generalized {Pythagorean} Theorem",
journal = j-FIB-QUART,
volume = "9",
number = "3",
pages = "307--312",
month = may,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:37 MDT 2011",
bibsource = "http://www.fq.math.ca/9-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-3/shannon2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Jentsch:1971:IVP,
author = "W. Jentsch",
title = "On an Initial-Value Problem for Linear Partial
Difference Equations",
journal = j-FIB-QUART,
volume = "9",
number = "3",
pages = "313--323",
month = may,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:37 MDT 2011",
bibsource = "http://www.fq.math.ca/9-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-3/jentsch.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Mangeron:1971:GFN,
author = "D. Mangeron and M. N. Oguztorelli and V. E. Poterasu",
title = "On the Generation of {Fibonacci} Numbers and the
``Polyvibrating'' Extension of These Numbers",
journal = j-FIB-QUART,
volume = "9",
number = "3",
pages = "324--328",
month = may,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:37 MDT 2011",
bibsource = "http://www.fq.math.ca/9-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-3/mangeron-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cadogan:1971:POP,
author = "C. C. Cadogan",
title = "On Partly Ordered Partitions of a Positive Integer",
journal = j-FIB-QUART,
volume = "9",
number = "3",
pages = "329--336",
month = may,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:37 MDT 2011",
bibsource = "http://www.fq.math.ca/9-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-3/cadogan.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gould:1971:EPG,
author = "H. W. Gould",
title = "Equal Products of Generalized Binomial Coefficients",
journal = j-FIB-QUART,
volume = "9",
number = "4",
pages = "337--346",
month = oct,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:39 MDT 2011",
bibsource = "http://www.fq.math.ca/9-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-4/gould.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brown:1971:LRA,
author = "J. L. {Brown, Jr.} and R. L. Duncan",
title = "The Least Remainder Algorithm",
journal = j-FIB-QUART,
volume = "9",
number = "4",
pages = "347--350",
month = oct,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:39 MDT 2011",
bibsource = "http://www.fq.math.ca/9-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-4/brown-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1971:PMC,
author = "V. E. {Hoggatt, Jr.} and G. L. Alexanderson",
title = "A Property of Multinomial Coefficients",
journal = j-FIB-QUART,
volume = "9",
number = "4",
pages = "351--356",
month = oct,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:39 MDT 2011",
bibsource = "http://www.fq.math.ca/9-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-4/hoggatt1-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Zeitlin:1971:GIR,
author = "David Zeitlin",
title = "General Identities for Recurrent Sequences of Order
Two",
journal = j-FIB-QUART,
volume = "9",
number = "4",
pages = "357--388",
month = oct,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:39 MDT 2011",
bibsource = "http://www.fq.math.ca/9-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-4/zeitlin-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1971:APSc,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "9",
number = "4",
pages = "389--401",
month = oct,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:39 MDT 2011",
bibsource = "http://www.fq.math.ca/9-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-4/advanced9-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brady:1971:ASR,
author = "Wray G. Brady",
title = "Additions to the Summation of Reciprocal {Fibonacci}
and {Lucas} Series",
journal = j-FIB-QUART,
volume = "9",
number = "4",
pages = "402--404",
month = oct,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:39 MDT 2011",
bibsource = "http://www.fq.math.ca/9-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-4/brady-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Good:1971:SFF,
author = "Robert C. {Good, Jr.}",
title = "A Series Form for the {Fibonacci} Numbers {$ F_{12n}
$}",
journal = j-FIB-QUART,
volume = "9",
number = "4",
pages = "405--411",
month = oct,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:39 MDT 2011",
bibsource = "http://www.fq.math.ca/9-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-4/good.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1971:PEA,
author = "Anonymous",
title = "Program of the Eigth Anniversary Meeting",
journal = j-FIB-QUART,
volume = "9",
number = "4",
pages = "412--??",
month = oct,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:39 MDT 2011",
bibsource = "http://www.fq.math.ca/9-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-4/program-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Barley:1971:TF,
author = "W. C. Barley",
title = "Triangles de {Fibonacci}",
journal = j-FIB-QUART,
volume = "9",
number = "4",
pages = "413--422",
month = oct,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:39 MDT 2011",
bibsource = "http://www.fq.math.ca/9-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-4/barley.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lowman:1971:EFN,
author = "Edward L. Lowman",
title = "An Example of {Fibonacci} Numbers Used to Generate
Rhythmic Values in Modern Music",
journal = j-FIB-QUART,
volume = "9",
number = "4",
pages = "423--426",
month = oct,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:39 MDT 2011",
bibsource = "http://www.fq.math.ca/9-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-4/lowman-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brousseau:1971:CFQ,
author = "Brother Alfred Brousseau",
title = "Continued Fractions of Quadratic {Fibonacci} Ratios",
journal = j-FIB-QUART,
volume = "9",
number = "4",
pages = "427--436",
month = oct,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:39 MDT 2011",
bibsource = "http://www.fq.math.ca/9-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-4/brousseau.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1971:SMF,
author = "V. E. {Hoggatt, Jr.}",
title = "Some More {Fibonacci} {Diophantine} Equations",
journal = j-FIB-QUART,
volume = "9",
number = "4",
pages = "437--??",
month = oct,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:39 MDT 2011",
bibsource = "http://www.fq.math.ca/9-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-4/hoggatt2-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1971:EPSc,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "9",
number = "4",
pages = "438--448",
month = oct,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:39 MDT 2011",
bibsource = "http://www.fq.math.ca/9-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-4/elementary9-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1971:RFF,
author = "L. Carlitz",
title = "Reduction Formulas for {Fibonacci} Summations",
journal = j-FIB-QUART,
volume = "9",
number = "5",
pages = "449--466",
month = dec,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:41 MDT 2011",
bibsource = "http://www.fq.math.ca/9-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-5/carlitz-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Beresin:1971:CGS,
author = "M. Beresin and E. Levine and D. Lubell",
title = "On the Coefficients of a Generating Series",
journal = j-FIB-QUART,
volume = "9",
number = "5",
pages = "467--476",
month = dec,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:41 MDT 2011",
bibsource = "http://www.fq.math.ca/9-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-5/beresin-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brown:1971:GBR,
author = "J. L. {Brown, Jr.}",
title = "On Generalized Bases for Real Numbers",
journal = j-FIB-QUART,
volume = "9",
number = "5",
pages = "477--496",
month = dec,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:41 MDT 2011",
bibsource = "http://www.fq.math.ca/9-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-5/brown-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Burr:1971:MWF,
author = "S. A. Burr",
title = "On Moduli for which the {Fibonacci} Sequence Contains
a Complete System of Residues",
journal = j-FIB-QUART,
volume = "9",
number = "5",
pages = "497--503",
month = dec,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:41 MDT 2011",
bibsource = "http://www.fq.math.ca/9-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-5/burr.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1971:NAF,
author = "Anonymous",
title = "{Ninth Annual Fall Conference of the Fibonacci
Association}",
journal = j-FIB-QUART,
volume = "9",
number = "5",
pages = "504--??",
month = dec,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:41 MDT 2011",
bibsource = "http://www.fq.math.ca/9-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-5/program-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Church:1971:CTD,
author = "C. A. {Church, Jr.}",
title = "Combinations and Their Duals",
journal = j-FIB-QUART,
volume = "9",
number = "5",
pages = "505--511",
month = dec,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:41 MDT 2011",
bibsource = "http://www.fq.math.ca/9-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-5/church.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1971:APSd,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "9",
number = "5",
pages = "512--524",
month = dec,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:41 MDT 2011",
bibsource = "http://www.fq.math.ca/9-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-5/advanced9-5.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brillhart:1971:C,
author = "John Brillhart and Emma Lehmer",
title = "Challenge",
journal = j-FIB-QUART,
volume = "9",
number = "5",
pages = "525--??",
month = dec,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:41 MDT 2011",
bibsource = "http://www.fq.math.ca/9-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-5/challenge.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Stern:1971:SFP,
author = "Frederick Stern",
title = "The Sum of the First $n$ Positive Numbers ---
Geometrically",
journal = j-FIB-QUART,
volume = "9",
number = "5",
pages = "526--??",
month = dec,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:41 MDT 2011",
bibsource = "http://www.fq.math.ca/9-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-5/stern.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lowman:1971:SSP,
author = "Edward A. Lowman",
title = "Some Striking Proportions in the Music of {Bela
Bart{\'o}k}",
journal = j-FIB-QUART,
volume = "9",
number = "5",
pages = "527--528",
month = dec,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:41 MDT 2011",
bibsource = "http://www.fq.math.ca/9-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-5/lowman-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bicknell:1971:PFNb,
author = "Marjorie Bicknell and Verner E. {Hoggatt, Jr.}",
title = "A Primer for the {Fibonacci} Numbers: {Part IX}",
journal = j-FIB-QUART,
volume = "9",
number = "5",
pages = "529--537",
month = dec,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:41 MDT 2011",
bibsource = "http://www.fq.math.ca/9-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-5/bicknell1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bicknell:1971:FC,
author = "Marjorie Bicknell",
title = "A {Fibonacci} Crostic",
journal = j-FIB-QUART,
volume = "9",
number = "5",
pages = "538--540",
month = dec,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:41 MDT 2011",
bibsource = "http://www.fq.math.ca/9-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-5/bicknell2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Beverage:1971:PRF,
author = "David Beverage",
title = "A Polynomial Representation of {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "9",
number = "5",
pages = "541--544",
month = dec,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:41 MDT 2011",
bibsource = "http://www.fq.math.ca/9-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-5/beverage.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1971:EPSd,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "9",
number = "5",
pages = "545--551",
month = dec,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:41 MDT 2011",
bibsource = "http://www.fq.math.ca/9-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-5/elementary9-5.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1971:VI,
author = "Anonymous",
title = "Volume Index",
journal = j-FIB-QUART,
volume = "9",
number = "5",
pages = "552--??",
month = dec,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:41 MDT 2011",
bibsource = "http://www.fq.math.ca/9-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-5/index.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1972:FR,
author = "L. Carlitz and Richard Scoville and V. E. {Hoggatt,
Jr.}",
title = "{Fibonacci} Representations",
journal = j-FIB-QUART,
volume = "10",
number = "1",
pages = "1--28",
month = jan,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:25 MDT 2011",
bibsource = "http://www.fq.math.ca/10-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-1/carlitz1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1972:LR,
author = "L. Carlitz and Richard Scoville and V. E. {Hoggatt,
Jr.}",
title = "{Lucas} Representations",
journal = j-FIB-QUART,
volume = "10",
number = "1",
pages = "29--42",
month = jan,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:25 MDT 2011",
bibsource = "http://www.fq.math.ca/10-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-1/carlitz2-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1972:FRHa,
author = "L. Carlitz and Richard Scoville and V. E. {Hoggatt,
Jr.}",
title = "{Fibonacci} Representations of Higher Order",
journal = j-FIB-QUART,
volume = "10",
number = "1",
pages = "43--70",
month = jan,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:25 MDT 2011",
bibsource = "http://www.fq.math.ca/10-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-1/carlitz3-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1972:FRHb,
author = "L. Carlitz and Richard Scoville and V. E. {Hoggatt,
Jr.}",
title = "{Fibonacci} Representations of Higher Order --- {II}",
journal = j-FIB-QUART,
volume = "10",
number = "1",
pages = "71--80",
month = jan,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:25 MDT 2011",
bibsource = "http://www.fq.math.ca/10-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-1/carlitz4-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1972:SGR,
author = "V. E. {Hoggatt, Jr.} and Brian Peterson",
title = "Some General Results on Representations",
journal = j-FIB-QUART,
volume = "10",
number = "1",
pages = "81--88",
month = jan,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:25 MDT 2011",
bibsource = "http://www.fq.math.ca/10-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-1/hoggatt1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1972:GZT,
author = "V. E. {Hoggatt, Jr.}",
title = "Generalized {Zeckendorf} Theorem",
journal = j-FIB-QUART,
volume = "10",
number = "1",
pages = "89--94",
month = jan,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:25 MDT 2011",
bibsource = "http://www.fq.math.ca/10-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-1/hoggatt2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Keller:1972:GZT,
author = "Timothy J. Keller",
title = "Generalizations of {Zeckendorf}'s Theorem",
journal = j-FIB-QUART,
volume = "10",
number = "1",
pages = "95--102",
month = jan,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:25 MDT 2011",
bibsource = "http://www.fq.math.ca/10-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-1/keller-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{OConnell:1972:RIS,
author = "Roger O'Connell",
title = "Representations of Integers as Sums of {Fibonacci}
Squares",
journal = j-FIB-QUART,
volume = "10",
number = "1",
pages = "103--112",
month = jan,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:25 MDT 2011",
bibsource = "http://www.fq.math.ca/10-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-1/oconnell.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Witzgall:1972:FSA,
author = "Christoph Witzgall",
title = "{Fibonacci} Search with Arbitrary First Evaluation",
journal = j-FIB-QUART,
volume = "10",
number = "2",
pages = "113--134",
month = feb,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:27 MDT 2011",
bibsource = "http://www.fq.math.ca/10-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-2/witzgall-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Shannon:1972:SPT,
author = "A. G. Shannon and A. F. Horadam",
title = "Some Properties of Third-Order Recurrence Relations",
journal = j-FIB-QUART,
volume = "10",
number = "2",
pages = "135--146",
month = feb,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:27 MDT 2011",
bibsource = "http://www.fq.math.ca/10-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-2/shannon.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bicknell:1972:DII,
author = "Marjorie Bicknell",
title = "Determinants and Identities Involving {Fibonacci}
Squares",
journal = j-FIB-QUART,
volume = "10",
number = "2",
pages = "147--156",
month = feb,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:27 MDT 2011",
bibsource = "http://www.fq.math.ca/10-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-2/bicknell-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1972:GFP,
author = "L. Carlitz",
title = "A Generating Function for Partly Ordered Partitions",
journal = j-FIB-QUART,
volume = "10",
number = "2",
pages = "157--162",
month = feb,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:27 MDT 2011",
bibsource = "http://www.fq.math.ca/10-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-2/carlitz.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Shanks:1972:FPR,
author = "Daniel Shanks",
title = "{Fibonacci} Primitive Roots",
journal = j-FIB-QUART,
volume = "10",
number = "2",
pages = "163--168",
month = feb,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:27 MDT 2011",
bibsource = "http://www.fq.math.ca/10-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-2/shanks-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bruckman:1972:ISN,
author = "Paul S. Bruckman",
title = "An Interesting Sequence of Numbers Derived From
Various Generating Functions",
journal = j-FIB-QUART,
volume = "10",
number = "2",
pages = "169--181",
month = feb,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:27 MDT 2011",
bibsource = "http://www.fq.math.ca/10-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-2/bruckman.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brousseau:1972:TIF,
author = "Brother Alfred Brousseau",
title = "Table of Indices with a {Fibonacci} Relation",
journal = j-FIB-QUART,
volume = "10",
number = "2",
pages = "182--184",
month = feb,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:27 MDT 2011",
bibsource = "http://www.fq.math.ca/10-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-2/brousseau1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1972:APSa,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "10",
number = "2",
pages = "185--196",
month = feb,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:27 MDT 2011",
bibsource = "http://www.fq.math.ca/10-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-2/advanced10-2-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brousseau:1972:FMC,
author = "Brother Alfred Brousseau",
title = "{Fibonacci} Magic Cards",
journal = j-FIB-QUART,
volume = "10",
number = "2",
pages = "197--??",
month = feb,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:27 MDT 2011",
bibsource = "http://www.fq.math.ca/10-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-2/brousseau2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1972:Ca,
author = "Anonymous",
title = "Corrections",
journal = j-FIB-QUART,
volume = "10",
number = "2",
pages = "198--??",
month = feb,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:27 MDT 2011",
bibsource = "http://www.fq.math.ca/10-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-2/correction.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brady:1972:LF,
author = "Wray G. Brady",
title = "The {Lambert} Function",
journal = j-FIB-QUART,
volume = "10",
number = "2",
pages = "199--200",
month = feb,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:27 MDT 2011",
bibsource = "http://www.fq.math.ca/10-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-2/brady.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hunter:1972:FOA,
author = "J. A. H. Hunter",
title = "{Fibonacci} Once Again",
journal = j-FIB-QUART,
volume = "10",
number = "2",
pages = "201--202",
month = feb,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:27 MDT 2011",
bibsource = "http://www.fq.math.ca/10-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-2/hunter1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Umansky:1972:NPT,
author = "Harlan L. Umansky",
title = "A Note on {Pythagorean} Triplets",
journal = j-FIB-QUART,
volume = "10",
number = "2",
pages = "203--206",
month = feb,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:27 MDT 2011",
bibsource = "http://www.fq.math.ca/10-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-2/umansky-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anaya:1972:GGI,
author = "Robert Anaya and Janice Crump",
title = "A Generalized Greatest Integer Function Theorem",
journal = j-FIB-QUART,
volume = "10",
number = "2",
pages = "207--212",
month = feb,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:27 MDT 2011",
bibsource = "http://www.fq.math.ca/10-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-2/anaya.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hunter:1972:BBS,
author = "J. A. H. Hunter and Joseph S. Madachy",
title = "Back-to-Back: Some Interesting Relationships Between
Representations of Integers In Various Bases",
journal = j-FIB-QUART,
volume = "10",
number = "2",
pages = "213--217",
month = feb,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:27 MDT 2011",
bibsource = "http://www.fq.math.ca/10-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-2/hunter2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1972:EPSa,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "10",
number = "2",
pages = "218--224",
month = feb,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:27 MDT 2011",
bibsource = "http://www.fq.math.ca/10-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-2/elementary10-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Higgins:1972:SAP,
author = "John C. Higgins",
title = "Subsemigroups of the Additive Positive Integers",
journal = j-FIB-QUART,
volume = "10",
number = "3",
pages = "225--230",
month = apr,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:29 MDT 2011",
bibsource = "http://www.fq.math.ca/10-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-3/higgins.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Yalavigi:1972:PTN,
author = "C. C. Yalavigi",
title = "Properties of {Tribonacci} Numbers",
journal = j-FIB-QUART,
volume = "10",
number = "3",
pages = "231--246",
month = apr,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:29 MDT 2011",
bibsource = "http://www.fq.math.ca/10-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-3/yalavigi.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brousseau:1972:NCN,
author = "Brother Alfred Brousseau",
title = "Note on the Characteristic Number of a Sequence of
{Fibonacci} Squares",
journal = j-FIB-QUART,
volume = "10",
number = "3",
pages = "247--248",
month = apr,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:29 MDT 2011",
bibsource = "http://www.fq.math.ca/10-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-3/brousseau1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Erdos:1972:SFN,
author = "P. Erd{\H{o}}s and R. L. Graham",
title = "On Sums of {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "10",
number = "3",
pages = "249--254",
month = apr,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:29 MDT 2011",
bibsource = "http://www.fq.math.ca/10-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-3/erdos.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ivie:1972:GM,
author = "John Ivie",
title = "A General {$Q$}-Matrix",
journal = j-FIB-QUART,
volume = "10",
number = "3",
pages = "255--261",
month = apr,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:29 MDT 2011",
bibsource = "http://www.fq.math.ca/10-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-3/ivie-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Blumenson:1972:CFN,
author = "Leslie E. Blumenson",
title = "A Characterization of {Fibonacci} Numbers Suggested by
a Problem in Cancer Research",
journal = j-FIB-QUART,
volume = "10",
number = "3",
pages = "262--264",
month = apr,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:29 MDT 2011",
bibsource = "http://www.fq.math.ca/10-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-3/blumenson-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Giuli:1972:LHD,
author = "Robert M. Giuli",
title = "Linear Homogeneous Difference Equations",
journal = j-FIB-QUART,
volume = "10",
number = "3",
pages = "265--270",
month = apr,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:29 MDT 2011",
bibsource = "http://www.fq.math.ca/10-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-3/giuli-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1972:GFN,
author = "V. E. {Hoggatt, Jr.}",
title = "Generalized {Fibonacci} Numbers in {Pascal}'s
Pyramid",
journal = j-FIB-QUART,
volume = "10",
number = "3",
pages = "271--276",
month = apr,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:29 MDT 2011",
bibsource = "http://www.fq.math.ca/10-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-3/hoggatt-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brown:1972:MOU,
author = "J. L. {Brown, Jr.} and R. L. Duncan",
title = "Modulo One Uniform Distribution of Certain
{Fibonacci}-Related Sequences",
journal = j-FIB-QUART,
volume = "10",
number = "3",
pages = "277--280",
month = apr,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:29 MDT 2011",
bibsource = "http://www.fq.math.ca/10-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-3/brown-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1972:NSF,
author = "L. Carlitz",
title = "Note on Summation Formulas",
journal = j-FIB-QUART,
volume = "10",
number = "3",
pages = "281--282",
month = apr,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:29 MDT 2011",
bibsource = "http://www.fq.math.ca/10-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-3/carlitz-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1972:APSb,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "10",
number = "3",
pages = "283--294",
month = apr,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:29 MDT 2011",
bibsource = "http://www.fq.math.ca/10-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-3/advanced10-3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Madachy:1972:SNN,
author = "Joseph S. Madachy",
title = "Some New Narcissistic Numbers",
journal = j-FIB-QUART,
volume = "10",
number = "3",
pages = "295--298",
month = apr,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:29 MDT 2011",
bibsource = "http://www.fq.math.ca/10-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-3/madachy.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Deininger:1972:FNW,
author = "Rolf A. Deininger",
title = "{Fibonacci} Numbers and Water Pollution Control",
journal = j-FIB-QUART,
volume = "10",
number = "3",
pages = "299--300",
month = apr,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:29 MDT 2011",
bibsource = "http://www.fq.math.ca/10-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-3/deininger-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wlodarski:1972:NG,
author = "J. Wlodarski",
title = "A Number Game",
journal = j-FIB-QUART,
volume = "10",
number = "3",
pages = "301--302",
month = apr,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:29 MDT 2011",
bibsource = "http://www.fq.math.ca/10-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-3/wlodarski.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brousseau:1972:FNG,
author = "Brother Alfred Brousseau",
title = "{Fibonacci} Numbers and Geometry",
journal = j-FIB-QUART,
volume = "10",
number = "3",
pages = "303--318",
month = apr,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:29 MDT 2011",
bibsource = "http://www.fq.math.ca/10-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-3/brousseau2-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Norden:1972:PC,
author = "Hugo Norden",
title = "Proportions and the Composer",
journal = j-FIB-QUART,
volume = "10",
number = "3",
pages = "319--323",
month = apr,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:29 MDT 2011",
bibsource = "http://www.fq.math.ca/10-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-3/norden.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Klamkin:1972:NP,
author = "M. S. Klamkin",
title = "A Number Problem",
journal = j-FIB-QUART,
volume = "10",
number = "3",
pages = "324--??",
month = apr,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:29 MDT 2011",
bibsource = "http://www.fq.math.ca/10-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-3/klamkin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ross:1972:LNC,
author = "Beverly Ross",
title = "A {Lucas} Number Counting Problem",
journal = j-FIB-QUART,
volume = "10",
number = "3",
pages = "325--327",
month = apr,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:29 MDT 2011",
bibsource = "http://www.fq.math.ca/10-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-3/ross.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1972:Cb,
author = "Anonymous",
title = "Corrigenda",
journal = j-FIB-QUART,
volume = "10",
number = "3",
pages = "328--??",
month = apr,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:29 MDT 2011",
bibsource = "http://www.fq.math.ca/10-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-3/corrigenda.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1972:EPSb,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "10",
number = "3",
pages = "329--336",
month = apr,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:29 MDT 2011",
bibsource = "http://www.fq.math.ca/10-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-3/elementary10-3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Fisher:1972:GFS,
author = "P. S. Fisher and E. E. Kohlbecker",
title = "A Generalized {Fibonacci} Sequence",
journal = j-FIB-QUART,
volume = "10",
number = "4",
pages = "337--344",
month = oct,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:31 MDT 2011",
bibsource = "http://www.fq.math.ca/10-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-4/fisher-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Somer:1972:FGN,
author = "Lawrence F. Somer",
title = "The {Fibonacci} Group and a New Proof that {$ F_{p -
(5 / p)} \equiv 0 \pmod {p} $}",
journal = j-FIB-QUART,
volume = "10",
number = "4",
pages = "345--348",
month = oct,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:31 MDT 2011",
bibsource = "http://www.fq.math.ca/10-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-4/somer-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gandhi:1972:C,
author = "J. M. Gandhi and V. S. Taneja",
title = "The Coefficients of $ \cosh x / \cos x $",
journal = j-FIB-QUART,
volume = "10",
number = "4",
pages = "349--354",
month = oct,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:31 MDT 2011",
bibsource = "http://www.fq.math.ca/10-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-4/gandhi.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gould:1972:NPC,
author = "H. W. Gould",
title = "A New Primality Criterion of {Mann} and {Shanks} and
its Relation to a Theorem of {Hermite} with Extension
to {Fibonomials}",
journal = j-FIB-QUART,
volume = "10",
number = "4",
pages = "355--364",
month = oct,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:31 MDT 2011",
bibsource = "http://www.fq.math.ca/10-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-4/gould1-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Zeckendorf:1972:GFN,
author = "E. Zeckendorf",
title = "A Generalized {Fibonacci} Numeration",
journal = j-FIB-QUART,
volume = "10",
number = "4",
pages = "365--372",
month = oct,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:31 MDT 2011",
bibsource = "http://www.fq.math.ca/10-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-4/zeckendorf.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Niederreiter:1972:DFN,
author = "Harald Niederreiter",
title = "Distribution of {Fibonacci} Numbers Mod $ 5^k $",
journal = j-FIB-QUART,
volume = "10",
number = "4",
pages = "373--374",
month = oct,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:31 MDT 2011",
bibsource = "http://www.fq.math.ca/10-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-4/niederreiter.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kuipers:1972:DPS,
author = "Lawrence Kuipers and Jau-shyong Shiue",
title = "A Distribution Property of the Sequence of {Fibonacci}
Numbers",
journal = j-FIB-QUART,
volume = "10",
number = "4",
pages = "375--376",
month = oct,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:31 MDT 2011",
bibsource = "http://www.fq.math.ca/10-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-4/kuipers-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Edgar:1972:PS,
author = "Gerald Edgar",
title = "Perfect {$N$}-Sequences for {$N$}, {$ N + 1 $}, and {$
N + 2 $}",
journal = j-FIB-QUART,
volume = "10",
number = "4",
pages = "377--380",
month = oct,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:31 MDT 2011",
bibsource = "http://www.fq.math.ca/10-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-4/edgar-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gould:1972:CSB,
author = "H. W. Gould",
title = "The Case of the Strange Binomial Identities of
{Professor Moriarty}",
journal = j-FIB-QUART,
volume = "10",
number = "4",
pages = "381--392",
month = oct,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:31 MDT 2011",
bibsource = "http://www.fq.math.ca/10-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-4/gould2-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Callas:1972:RAN,
author = "Nicholas P. Callas",
title = "Representations of Automorphic Numbers",
journal = j-FIB-QUART,
volume = "10",
number = "4",
pages = "393--396",
month = oct,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:31 MDT 2011",
bibsource = "http://www.fq.math.ca/10-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-4/callas-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Zeitlin:1972:PIS,
author = "David Zeitlin",
title = "A Product Identity for Sequences Defined by {$ W_{n +
2} = d W_{n + 1} - c W_n $}",
journal = j-FIB-QUART,
volume = "10",
number = "4",
pages = "397--402",
month = oct,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:31 MDT 2011",
bibsource = "http://www.fq.math.ca/10-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-4/zeitlin-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cohn:1972:PNT,
author = "Ernst M. Cohn",
title = "{Pell} Number Triples",
journal = j-FIB-QUART,
volume = "10",
number = "4",
pages = "403--404",
month = oct,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:31 MDT 2011",
bibsource = "http://www.fq.math.ca/10-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-4/cohn-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Williams:1972:FNO,
author = "H. C. Williams",
title = "{Fibonacci} Numbers Obtained from {Pascal}'s Triangle
with Generalizations",
journal = j-FIB-QUART,
volume = "10",
number = "4",
pages = "405--412",
month = oct,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:31 MDT 2011",
bibsource = "http://www.fq.math.ca/10-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-4/williams.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1972:APSc,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "10",
number = "4",
pages = "413--421",
month = oct,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:31 MDT 2011",
bibsource = "http://www.fq.math.ca/10-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-4/advanced10-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Shudde:1972:GSS,
author = "Rex H. Shudde",
title = "Golden Section Search Problem",
journal = j-FIB-QUART,
volume = "10",
number = "4",
pages = "422--??",
month = oct,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:31 MDT 2011",
bibsource = "http://www.fq.math.ca/10-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-4/shudde.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Raphael:1972:IPP,
author = "Brother L. Raphael and FSC",
title = "Introduction to {Patton} Polygons",
journal = j-FIB-QUART,
volume = "10",
number = "4",
pages = "423--428",
month = oct,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:31 MDT 2011",
bibsource = "http://www.fq.math.ca/10-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-4/raphael.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brousseau:1972:AAL,
author = "Brother Alfred Brousseau",
title = "Algorithm for Analyzing a Linear Recursion Sequence",
journal = j-FIB-QUART,
volume = "10",
number = "4",
pages = "429--432",
month = oct,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:31 MDT 2011",
bibsource = "http://www.fq.math.ca/10-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-4/brousseau1-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1972:FFC,
author = "V. E. {Hoggatt, Jr.} and Marjorie Bicknell",
title = "Fun with {Fibonacci} at the Chess Match",
journal = j-FIB-QUART,
volume = "10",
number = "4",
pages = "433--434",
month = oct,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:31 MDT 2011",
bibsource = "http://www.fq.math.ca/10-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-4/hoggatt-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Feinberg:1972:PPP,
author = "Andrew Feinberg",
title = "Polyhedra, Pentagrams and {Plato}",
journal = j-FIB-QUART,
volume = "10",
number = "4",
pages = "435--438",
month = oct,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:31 MDT 2011",
bibsource = "http://www.fq.math.ca/10-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-4/feinberg.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ercolano:1972:MGC,
author = "Joseph L. Ercolano",
title = "Making Golden Cuts with a Shoemaker's Knife",
journal = j-FIB-QUART,
volume = "10",
number = "4",
pages = "439--440",
month = oct,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:31 MDT 2011",
bibsource = "http://www.fq.math.ca/10-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-4/ercolano-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brousseau:1972:YOF,
author = "Brother Alfred Brousseau",
title = "{Ye Olde Fibonacci Curiosity Shoppe}",
journal = j-FIB-QUART,
volume = "10",
number = "4",
pages = "441--443",
month = oct,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:31 MDT 2011",
bibsource = "http://www.fq.math.ca/10-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-4/brousseau2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bicknell:1972:BRB,
author = "Marjorie Bicknell",
title = "Book Review: {{\booktitle{A Mathematical model of life
and living}}, by Li-kung Shaw}",
journal = j-FIB-QUART,
volume = "10",
number = "4",
pages = "444--444",
month = oct,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:31 MDT 2011",
bibsource = "http://www.fq.math.ca/10-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "See \cite{Shaw:1972:MML}.",
URL = "http://www.fq.math.ca/Scanned/10-4/review.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1972:PNA,
author = "Anonymous",
title = "Program of the Ninth Anniversary Meeting",
journal = j-FIB-QUART,
volume = "10",
number = "4",
pages = "445--446",
month = oct,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:31 MDT 2011",
bibsource = "http://www.fq.math.ca/10-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-4/meeting.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1972:EPSc,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "10",
number = "4",
pages = "447--??",
month = oct,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:31 MDT 2011",
bibsource = "http://www.fq.math.ca/10-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-4/elementary10-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1972:Ea,
author = "Anonymous",
title = "Errata",
journal = j-FIB-QUART,
volume = "10",
number = "4",
pages = "448--453",
month = oct,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:31 MDT 2011",
bibsource = "http://www.fq.math.ca/10-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-4/errata.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1972:FMS,
author = "Anonymous",
title = "{Fibonacci} Makes the Sports Page",
journal = j-FIB-QUART,
volume = "10",
number = "4",
pages = "454--??",
month = oct,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:31 MDT 2011",
bibsource = "http://www.fq.math.ca/10-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-4/sports.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1972:PR,
author = "L. Carlitz and Richard Scoville and V. E. {Hoggatt,
Jr.}",
title = "{Pellian} Representations",
journal = j-FIB-QUART,
volume = "10",
number = "5",
pages = "449--488",
month = nov,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:33 MDT 2011",
bibsource = "http://www.fq.math.ca/10-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-5/carlitz1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1972:EA,
author = "L. Carlitz",
title = "Enumeration of $ 3 \times 3 $ Arrays",
journal = j-FIB-QUART,
volume = "10",
number = "5",
pages = "489--498",
month = nov,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:33 MDT 2011",
bibsource = "http://www.fq.math.ca/10-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-5/carlitz2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1972:RSS,
author = "L. Carlitz and Richard Scoville and V. E. {Hoggatt,
Jr.}",
title = "Representations for a Special Sequence",
journal = j-FIB-QUART,
volume = "10",
number = "5",
pages = "499--518",
month = nov,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:33 MDT 2011",
bibsource = "http://www.fq.math.ca/10-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-5/carlitz3-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kramer:1972:SCF,
author = "Judy Kramer and V. E. {Hoggatt, Jr.}",
title = "Special Cases of {Fibonacci} Periodicity",
journal = j-FIB-QUART,
volume = "10",
number = "5",
pages = "519--522",
month = nov,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:33 MDT 2011",
bibsource = "http://www.fq.math.ca/10-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-5/kramer-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1972:CPC,
author = "L. Carlitz",
title = "Concavity Properties of Certain Sequences of Numbers",
journal = j-FIB-QUART,
volume = "10",
number = "5",
pages = "523--525",
month = nov,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:33 MDT 2011",
bibsource = "http://www.fq.math.ca/10-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-5/carlitz4-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1972:CCL,
author = "L. Carlitz",
title = "A Conjecture Concerning {Lucas} Numbers",
journal = j-FIB-QUART,
volume = "10",
number = "5",
pages = "526--??",
month = nov,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:33 MDT 2011",
bibsource = "http://www.fq.math.ca/10-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-5/carlitz5-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1972:APF,
author = "L. Carlitz and Richard Scoville and V. E. {Hoggatt,
Jr.}",
title = "Addendum to the Paper {``Fibonacci
Representations''}",
journal = j-FIB-QUART,
volume = "10",
number = "5",
pages = "527--530",
month = nov,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:33 MDT 2011",
bibsource = "http://www.fq.math.ca/10-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-5/carlitz6.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1972:SPB,
author = "L. Carlitz",
title = "Sequences, Paths, Ballot Numbers",
journal = j-FIB-QUART,
volume = "10",
number = "5",
pages = "531--550",
month = nov,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:33 MDT 2011",
bibsource = "http://www.fq.math.ca/10-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-5/carlitz7.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1972:STC,
author = "V. E. {Hoggatt, Jr.} and Bob Chow",
title = "Some Theorems on Completeness",
journal = j-FIB-QUART,
volume = "10",
number = "5",
pages = "551--554",
month = nov,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:33 MDT 2011",
bibsource = "http://www.fq.math.ca/10-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-5/hoggatt1-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1972:FLT,
author = "V. E. {Hoggatt, Jr.} and Marjorie Bichnell and Ellen
L. King",
title = "{Fibonacci} and {Lucas} Triangles",
journal = j-FIB-QUART,
volume = "10",
number = "5",
pages = "555--560",
month = nov,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:33 MDT 2011",
bibsource = "http://www.fq.math.ca/10-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-5/hoggatt2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{McCausland:1972:SOC,
author = "I. McCausland",
title = "A Simple Optimal Control Sequence in Terms of
{Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "10",
number = "6",
pages = "561--564",
month = dec,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:36 MDT 2011",
bibsource = "http://www.fq.math.ca/10-6.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-6/mccausland-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1972:PGP,
author = "A. P. Hillman and V. E. {Hoggatt, Jr.}",
title = "A Proof of {Gould}'s {Pascal} Hexagon Conjecture",
journal = j-FIB-QUART,
volume = "10",
number = "6",
pages = "565--568",
month = dec,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:36 MDT 2011",
bibsource = "http://www.fq.math.ca/10-6.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-6/hillman-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Galambos:1972:CUT,
author = "Janos Galambos",
title = "A Constructive Uniqueness Theorem on Representing
Integers",
journal = j-FIB-QUART,
volume = "10",
number = "6",
pages = "569--570",
month = dec,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:36 MDT 2011",
bibsource = "http://www.fq.math.ca/10-6.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-6/galambos-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hansen:1972:GIF,
author = "Rodney T. Hansen",
title = "Generating Identities for {Fibonacci} and {Lucas}
Triples",
journal = j-FIB-QUART,
volume = "10",
number = "6",
pages = "571--578",
month = dec,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:36 MDT 2011",
bibsource = "http://www.fq.math.ca/10-6.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-6/hansen.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gould:1972:NGC,
author = "H. W. Gould",
title = "A New Greatest Common Divisor Property of the Binomial
Coefficients",
journal = j-FIB-QUART,
volume = "10",
number = "6",
pages = "579--584",
month = dec,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:36 MDT 2011",
bibsource = "http://www.fq.math.ca/10-6.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-6/gould1-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Shenton:1972:LDE,
author = "L. R. Shenton",
title = "Linear Difference Equations and Generalized
Continuants {Part I}: Algebraic Developments",
journal = j-FIB-QUART,
volume = "10",
number = "6",
pages = "585--590",
month = dec,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:36 MDT 2011",
bibsource = "http://www.fq.math.ca/10-6.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-6/shenton-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1972:TAS,
author = "L. Carlitz and D. P. Roselle",
title = "Triangular Arrays Subject to {MacMahon}'s Conditions",
journal = j-FIB-QUART,
volume = "10",
number = "6",
pages = "591--598",
month = dec,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:36 MDT 2011",
bibsource = "http://www.fq.math.ca/10-6.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-6/carlitz-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1972:CT,
author = "Verner E. {Hoggatt, Jr.} and Marjorie Bicknell",
title = "Convolution Triangles",
journal = j-FIB-QUART,
volume = "10",
number = "6",
pages = "599--608",
month = dec,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:36 MDT 2011",
bibsource = "http://www.fq.math.ca/10-6.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-6/hoggatt.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hahn:1972:CFI,
author = "Hwa S. Hahn",
title = "A Counting Function of Integral $n$-Triples",
journal = j-FIB-QUART,
volume = "10",
number = "6",
pages = "609--612",
month = dec,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:36 MDT 2011",
bibsource = "http://www.fq.math.ca/10-6.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-6/hahn-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gould:1972:SCI,
author = "H. W. Gould",
title = "Some Combinatorial Identities of {Bruckman} --- a
Systematic Treatment with Relation to the Older
Literature",
journal = j-FIB-QUART,
volume = "10",
number = "6",
pages = "613--628",
month = dec,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:36 MDT 2011",
bibsource = "http://www.fq.math.ca/10-6.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-6/gould2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1972:APSd,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "10",
number = "6",
pages = "629--642",
month = dec,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:36 MDT 2011",
bibsource = "http://www.fq.math.ca/10-6.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-6/advanced10-6.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Sharp:1972:FDP,
author = "W. E. Sharp",
title = "{Fibonacci} Drainage Patterns",
journal = j-FIB-QUART,
volume = "10",
number = "6",
pages = "643--646",
month = dec,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:36 MDT 2011",
bibsource = "http://www.fq.math.ca/10-6.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-6/sharp-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brousseau:1972:PFN,
author = "Brother Alfred Brousseau",
title = "A Primer for the {Fibonacci} Numbers. {Part X}: {On}
the Representation of Integers",
journal = j-FIB-QUART,
volume = "10",
number = "6",
pages = "647--650",
month = dec,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:36 MDT 2011",
bibsource = "http://www.fq.math.ca/10-6.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-6/brousseau1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Karst:1972:MAM,
author = "Edgar Karst",
title = "More About Magic Squares Consisting of Different
Primes",
journal = j-FIB-QUART,
volume = "10",
number = "6",
pages = "651--655",
month = dec,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:36 MDT 2011",
bibsource = "http://www.fq.math.ca/10-6.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-6/karst.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1972:Eb,
author = "Anonymous",
title = "Errata",
journal = j-FIB-QUART,
volume = "10",
number = "6",
pages = "656--??",
month = dec,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:36 MDT 2011",
bibsource = "http://www.fq.math.ca/10-6.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-6/errata.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brousseau:1972:NNF,
author = "Brother Alfred Brousseau",
title = "A Note on the Number of {Fibonacci} Sequences",
journal = j-FIB-QUART,
volume = "10",
number = "6",
pages = "657--658",
month = dec,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:36 MDT 2011",
bibsource = "http://www.fq.math.ca/10-6.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-6/brousseau2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Davis:1972:FNP,
author = "Basil Davis",
title = "{Fibonacci} Numbers in Physics",
journal = j-FIB-QUART,
volume = "10",
number = "6",
pages = "659--660",
month = dec,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:36 MDT 2011",
bibsource = "http://www.fq.math.ca/10-6.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-6/davis-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Peleg:1972:OFF,
author = "Reuven Peleg",
title = "An Old {Fibonacci} Formula and Stopping Rules",
journal = j-FIB-QUART,
volume = "10",
number = "6",
pages = "661--??",
month = dec,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:36 MDT 2011",
bibsource = "http://www.fq.math.ca/10-6.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-6/peleg.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1972:A,
author = "Anonymous",
title = "Announcement",
journal = j-FIB-QUART,
volume = "10",
number = "6",
pages = "662--??",
month = dec,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:36 MDT 2011",
bibsource = "http://www.fq.math.ca/10-6.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-6/announcement.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1972:EPSd,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "10",
number = "6",
pages = "663--666",
month = dec,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:36 MDT 2011",
bibsource = "http://www.fq.math.ca/10-6.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-6/elementary10-6.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1972:VI,
author = "Anonymous",
title = "Volume Index",
journal = j-FIB-QUART,
volume = "10",
number = "6",
pages = "667--??",
month = dec,
year = "1972",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:36 MDT 2011",
bibsource = "http://www.fq.math.ca/10-6.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/10-6/index.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ferguson:1973:BNN,
author = "Helaman Rolfe Pratt Ferguson",
title = "{Bernoulli} Numbers and Non-Standard Differentiable
Structures on $ (4 k - 1) $-Spheres",
journal = j-FIB-QUART,
volume = "11",
number = "1",
pages = "1--14",
month = feb,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:38 MDT 2011",
bibsource = "http://www.fq.math.ca/11-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-1/ferguson.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Arkin:1973:CCP,
author = "Joseph Arkin",
title = "Convergence of the Coefficients in the $k$ th Power of
a Power Series",
journal = j-FIB-QUART,
volume = "11",
number = "1",
pages = "15--24",
month = feb,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:38 MDT 2011",
bibsource = "http://www.fq.math.ca/11-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-1/arkin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Straus:1973:GCD,
author = "E. G. Straus",
title = "On the Greatest common Divisor of Some Binomial
Coefficients",
journal = j-FIB-QUART,
volume = "11",
number = "1",
pages = "25--26",
month = feb,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:38 MDT 2011",
bibsource = "http://www.fq.math.ca/11-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-1/straus.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gould:1973:TIS,
author = "H. W. Gould",
title = "A Triangle with Integral Sides and Area",
journal = j-FIB-QUART,
volume = "11",
number = "1",
pages = "27--39",
month = feb,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:38 MDT 2011",
bibsource = "http://www.fq.math.ca/11-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-1/gould.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gridgeman:1973:NLF,
author = "N. T. Gridgeman",
title = "A New Look at {Fibonacci} Generalization",
journal = j-FIB-QUART,
volume = "11",
number = "1",
pages = "40--54",
month = feb,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:38 MDT 2011",
bibsource = "http://www.fq.math.ca/11-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-1/gridgeman.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1973:FAM,
author = "Anonymous",
title = "{Fibonacci} Association Meeting: Conference Program",
journal = j-FIB-QUART,
volume = "11",
number = "1",
pages = "55--??",
month = feb,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:38 MDT 2011",
bibsource = "http://www.fq.math.ca/11-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-1/program.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Merkes:1973:LEA,
author = "E. P. Merkes and David Meyers",
title = "On the Length of the {Euclidean} Algorithm",
journal = j-FIB-QUART,
volume = "11",
number = "1",
pages = "56--61",
month = feb,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:38 MDT 2011",
bibsource = "http://www.fq.math.ca/11-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-1/merkes.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Zeitlin:1973:LE,
author = "David Zeitlin",
title = "Letter to the Editor",
journal = j-FIB-QUART,
volume = "11",
number = "1",
pages = "62--??",
month = feb,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:38 MDT 2011",
bibsource = "http://www.fq.math.ca/11-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-1/letter-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cohn:1973:LE,
author = "Ernst M. Cohn",
title = "Letter to the Editor",
journal = j-FIB-QUART,
volume = "11",
number = "1",
pages = "62--??",
month = feb,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:38 MDT 2011",
bibsource = "http://www.fq.math.ca/11-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-1/letter-d.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Freitag:1973:SEF,
author = "Herta T. Freitag",
title = "On Summations and Expansions of {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "11",
number = "1",
pages = "63--71",
month = feb,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:38 MDT 2011",
bibsource = "http://www.fq.math.ca/11-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-1/freitag.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1973:APSa,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "11",
number = "1",
pages = "72--77",
month = feb,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:38 MDT 2011",
bibsource = "http://www.fq.math.ca/11-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-1/advanced11-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lucas:1973:NCT,
author = "Dianne Smith Lucas",
title = "Numbers Common to Two Polygonal Sequences",
journal = j-FIB-QUART,
volume = "11",
number = "1",
pages = "78--84",
month = feb,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:38 MDT 2011",
bibsource = "http://www.fq.math.ca/11-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-1/lucas.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1973:PFNa,
author = "Verner E. {Hoggatt, Jr.} and Janet Crump Anaya",
title = "A Primer for the {Fibonacci} Numbers. {Part XI}:
{Multisection} Generating Functions for the Columns of
{Pascal}'s Triangle",
journal = j-FIB-QUART,
volume = "11",
number = "1",
pages = "85--90",
month = feb,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:38 MDT 2011",
bibsource = "http://www.fq.math.ca/11-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-1/hoggatt-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brousseau:1973:CPU,
author = "Brother Alfred Brousseau and Harold Andersen and
Jerome Povse",
title = "A Curious Property of Unit Fractions of the Form $ 1 /
d $ Where $ (d, 10) = 1 $",
journal = j-FIB-QUART,
volume = "11",
number = "1",
pages = "91--98",
month = feb,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:38 MDT 2011",
bibsource = "http://www.fq.math.ca/11-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-1/brousseau.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Grimm:1973:ALP,
author = "Richard E. Grimm",
title = "The Autobiography of {Leonardo Pisano}",
journal = j-FIB-QUART,
volume = "11",
number = "1",
pages = "99--104",
month = feb,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
MRclass = "01A35",
MRnumber = "0317861 (47 \#6410)",
MRreviewer = "N. Swerdlow",
bibdate = "Thu Oct 20 17:58:38 MDT 2011",
bibsource = "http://www.fq.math.ca/11-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-1/grimm.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1973:EPSa,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "11",
number = "1",
pages = "105--112",
month = feb,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:38 MDT 2011",
bibsource = "http://www.fq.math.ca/11-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-1/elementary11-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1973:ETL,
author = "L. Carlitz",
title = "Enumeration of Two-Line Arrays",
journal = j-FIB-QUART,
volume = "11",
number = "2",
pages = "113--130",
month = apr,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:40 MDT 2011",
bibsource = "http://www.fq.math.ca/11-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "See corrigendum \cite{Carlitz:1974:CET}.",
URL = "http://www.fq.math.ca/Scanned/11-2/carlitz.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bicknell:1973:UDG,
author = "Marjorie Bicknell and V. E. {Hoggatt, Jr.}",
title = "Unit Determinants in Generalized {Pascal} Triangles",
journal = j-FIB-QUART,
volume = "11",
number = "2",
pages = "131--144",
month = apr,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:40 MDT 2011",
bibsource = "http://www.fq.math.ca/11-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-2/bicknell.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Stein:1973:DPA,
author = "S. K. Stein",
title = "The Density of the Product of Arithmetic Progression",
journal = j-FIB-QUART,
volume = "11",
number = "2",
pages = "145--152",
month = apr,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:40 MDT 2011",
bibsource = "http://www.fq.math.ca/11-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-2/stein.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Tauber:1973:FP,
author = "Selmo Tauber",
title = "$n$-{Fibonacci} Products",
journal = j-FIB-QUART,
volume = "11",
number = "2",
pages = "153--156",
month = apr,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:40 MDT 2011",
bibsource = "http://www.fq.math.ca/11-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-2/tauber1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Singmaster:1973:SCC,
author = "David Singmaster",
title = "Some Corrections to {Carlson}'s {``Determination of
Heronian Triangles''}",
journal = j-FIB-QUART,
volume = "11",
number = "2",
pages = "157--158",
month = apr,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:40 MDT 2011",
bibsource = "http://www.fq.math.ca/11-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-2/singmaster.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Shanks:1973:OFP,
author = "Daniel Shanks and Larry Taylor",
title = "An Observation of {Fibonacci} Primitive Roots",
journal = j-FIB-QUART,
volume = "11",
number = "2",
pages = "159--160",
month = apr,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:40 MDT 2011",
bibsource = "http://www.fq.math.ca/11-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-2/shanks.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Sun:1973:GTP,
author = "Hugo S. Sun",
title = "A Group-Theoretical Proof of a Theorem in Elementary
Number Theory",
journal = j-FIB-QUART,
volume = "11",
number = "2",
pages = "161--??",
month = apr,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:40 MDT 2011",
bibsource = "http://www.fq.math.ca/11-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-2/sun.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1973:Ea,
author = "Anonymous",
title = "Errata",
journal = j-FIB-QUART,
volume = "11",
number = "2",
pages = "162--??",
month = apr,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:40 MDT 2011",
bibsource = "http://www.fq.math.ca/11-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-2/errata-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Yalavigi:1973:PST,
author = "C. C. Yalavigi",
title = "Periodicity of Second- and Third-Order Recurring
Sequences",
journal = j-FIB-QUART,
volume = "11",
number = "2",
pages = "163--165",
month = apr,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:40 MDT 2011",
bibsource = "http://www.fq.math.ca/11-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-2/yalavigi.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Klamkin:1973:SNH,
author = "Murray S. Klamkin",
title = "On Solving non-Homogeneous Linear Difference
Equations",
journal = j-FIB-QUART,
volume = "11",
number = "2",
pages = "166--168",
month = apr,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:40 MDT 2011",
bibsource = "http://www.fq.math.ca/11-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-2/klamkin1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Klamkin:1973:RP,
author = "Murray S. Klamkin and R. S. Fishman",
title = "A Reliability Problem",
journal = j-FIB-QUART,
volume = "11",
number = "2",
pages = "169--173",
month = apr,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:40 MDT 2011",
bibsource = "http://www.fq.math.ca/11-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-2/klamkin2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Arkin:1973:FSC,
author = "Joseph Arkin",
title = "The First Solution of the Classical {Eulerian} Magic
Cube Problem of Order Ten",
journal = j-FIB-QUART,
volume = "11",
number = "2",
pages = "174--178",
month = apr,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:40 MDT 2011",
bibsource = "http://www.fq.math.ca/11-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-2/arkin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Tauber:1973:N,
author = "Selmo Tauber",
title = "On {$K$}-Numbers",
journal = j-FIB-QUART,
volume = "11",
number = "2",
pages = "179--183",
month = apr,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:40 MDT 2011",
bibsource = "http://www.fq.math.ca/11-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-2/tauber2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1973:APSb,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "11",
number = "2",
pages = "184--188",
month = apr,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:40 MDT 2011",
bibsource = "http://www.fq.math.ca/11-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-2/advanced11-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brousseau:1973:TOE,
author = "Brother Alfred Brousseau",
title = "Through the Other End of the Telescope",
journal = j-FIB-QUART,
volume = "11",
number = "2",
pages = "189--194",
month = apr,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:40 MDT 2011",
bibsource = "http://www.fq.math.ca/11-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-2/brousseau1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Chakerian:1973:GRG,
author = "G. D. (Don) Chakerian",
title = "The Golden Ratio and a {Greek} Crisis",
journal = j-FIB-QUART,
volume = "11",
number = "2",
pages = "195--200",
month = apr,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:40 MDT 2011",
bibsource = "http://www.fq.math.ca/11-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-2/chakerian.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Stern:1973:ILC,
author = "Frederick Stern",
title = "Intersections of Lines Connecting Two Parallel Lines",
journal = j-FIB-QUART,
volume = "11",
number = "2",
pages = "201--203",
month = apr,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:40 MDT 2011",
bibsource = "http://www.fq.math.ca/11-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-2/stern.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ercolano:1973:GTS,
author = "Joseph L. Ercolano",
title = "A Geometric Treatment of Some of the Algebraic
Properties of the Golden Section",
journal = j-FIB-QUART,
volume = "11",
number = "2",
pages = "204--208",
month = apr,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:40 MDT 2011",
bibsource = "http://www.fq.math.ca/11-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-2/ercolano.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brousseau:1973:GFS,
author = "Brother Alfred Brousseau",
title = "Generalized {Fibonacci} Shift Formulas",
journal = j-FIB-QUART,
volume = "11",
number = "2",
pages = "209--223",
month = apr,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:40 MDT 2011",
bibsource = "http://www.fq.math.ca/11-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-2/brousseau2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1973:EPSb,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "11",
number = "2",
pages = "224--??",
month = apr,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:40 MDT 2011",
bibsource = "http://www.fq.math.ca/11-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-2/elementary11-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bruckman:1973:SGS,
author = "Paul S. Bruckman",
title = "Some Generalizations Suggested by {Gould}'s Systematic
Treatment of Certain Binomial Identities",
journal = j-FIB-QUART,
volume = "11",
number = "3",
pages = "225--240",
month = oct,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:42 MDT 2011",
bibsource = "http://www.fq.math.ca/11-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-3/bruckman.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Light:1973:PEL,
author = "F. W. {Light, Jr.}",
title = "A Procedure for the Enumeration of $ 4 \times n $
{Latin} Rectangles",
journal = j-FIB-QUART,
volume = "11",
number = "3",
pages = "241--246",
month = oct,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:42 MDT 2011",
bibsource = "http://www.fq.math.ca/11-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-3/light.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Buschman:1973:SSS,
author = "R. G. Buschman",
title = "Some Simple Sieves",
journal = j-FIB-QUART,
volume = "11",
number = "3",
pages = "247--254",
month = oct,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:42 MDT 2011",
bibsource = "http://www.fq.math.ca/11-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-3/buschman1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hosoya:1973:TIF,
author = "Haruo Hosoya",
title = "Topological Index and {Fibonacci} Numbers with
Relation to Chemistry",
journal = j-FIB-QUART,
volume = "11",
number = "3",
pages = "255--265",
month = oct,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:42 MDT 2011",
bibsource = "http://www.fq.math.ca/11-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-3/hosoya.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bicknell:1973:BRB,
author = "Marjorie Bicknell",
title = "Book Review: {{\booktitle{I Ching Games}}, by H. Y. Li
and Sibley S. Morrill}",
journal = j-FIB-QUART,
volume = "11",
number = "3",
pages = "266--??",
month = oct,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:42 MDT 2011",
bibsource = "http://www.fq.math.ca/11-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "See \cite{Li:1971:CGD}.",
URL = "http://www.fq.math.ca/Scanned/11-3/review.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Klarner:1973:NSC,
author = "David A. Klarner",
title = "The Number of {SDR}'s in Certain Regular Systems",
journal = j-FIB-QUART,
volume = "11",
number = "3",
pages = "267--270",
month = oct,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:42 MDT 2011",
bibsource = "http://www.fq.math.ca/11-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-3/klarner.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1973:RFP,
author = "V. E. {Hoggatt, Jr.} and Marjorie Bicknell",
title = "Roots of {Fibonacci} Polynomials",
journal = j-FIB-QUART,
volume = "11",
number = "3",
pages = "271--274",
month = oct,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:42 MDT 2011",
bibsource = "http://www.fq.math.ca/11-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-3/hoggatt1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Church:1973:EGF,
author = "C. A. Church and Marjorie Bicknell",
title = "Exponential Generating Functions for {Fibonacci}
Identities",
journal = j-FIB-QUART,
volume = "11",
number = "3",
pages = "275--281",
month = oct,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:42 MDT 2011",
bibsource = "http://www.fq.math.ca/11-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-3/church.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Singmaster:1973:NBC,
author = "David Singmaster",
title = "Notes on Binomial Coefficients: {IV} --- Proof of a
Conjecture of {Gould} on the {GCD}'s of Two Triples of
Binomial Coefficients",
journal = j-FIB-QUART,
volume = "11",
number = "3",
pages = "282--283",
month = oct,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:42 MDT 2011",
bibsource = "http://www.fq.math.ca/11-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-3/singmaster.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1973:LEa,
author = "Anonymous",
title = "Letters to the Editors",
journal = j-FIB-QUART,
volume = "11",
number = "3",
pages = "284--??",
month = oct,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:42 MDT 2011",
bibsource = "http://www.fq.math.ca/11-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-3/letters.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Junge:1973:PAR,
author = "Bjarne Junge and V. E. {Hoggatt, Jr.}",
title = "Polynomials Arising from Reflections across Multiple
Plates",
journal = j-FIB-QUART,
volume = "11",
number = "3",
pages = "285--291",
month = oct,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:42 MDT 2011",
bibsource = "http://www.fq.math.ca/11-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-3/junge.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kuipers:1973:RPD,
author = "L. Kuipers and Jau-shyong Shiue",
title = "Remark on a Paper by {Duncan} and {Brown} on the
Sequence of Logarithms of Certain Recursive Sequences",
journal = j-FIB-QUART,
volume = "11",
number = "3",
pages = "292--293",
month = oct,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:42 MDT 2011",
bibsource = "http://www.fq.math.ca/11-3.html;
https://www.math.utah.edu/pub/tex/bib/benfords-law.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "See \cite{Brown:1970:MOU}.",
URL = "http://www.fq.math.ca/Scanned/11-3/kuipers.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1973:Eb,
author = "Anonymous",
title = "Errata",
journal = j-FIB-QUART,
volume = "11",
number = "3",
pages = "294--??",
month = oct,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:42 MDT 2011",
bibsource = "http://www.fq.math.ca/11-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-3/errata-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Buschman:1973:RPS,
author = "R. G. Buschman",
title = "Representations as Products or as Sums",
journal = j-FIB-QUART,
volume = "11",
number = "3",
pages = "295--301",
month = oct,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:42 MDT 2011",
bibsource = "http://www.fq.math.ca/11-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-3/buschman2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Moser:1973:MR,
author = "Leo Moser and Max Wyman",
title = "Multiple Reflections",
journal = j-FIB-QUART,
volume = "11",
number = "3",
pages = "302--306",
month = oct,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:42 MDT 2011",
bibsource = "http://www.fq.math.ca/11-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-3/moser.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hickerson:1973:RTF,
author = "Dean R. Hickerson",
title = "Recursion-Type Formulae for Partitions into Distinct
Parts",
journal = j-FIB-QUART,
volume = "11",
number = "3",
pages = "307--311",
month = oct,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:42 MDT 2011",
bibsource = "http://www.fq.math.ca/11-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-3/hickerson.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1973:APSc,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "11",
number = "3",
pages = "312--314",
month = oct,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:42 MDT 2011",
bibsource = "http://www.fq.math.ca/11-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-3/advanced11-3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Butter:1973:ICD,
author = "D. A. Butter",
title = "An Inequality in a Certain {Diophantine} Equation",
journal = j-FIB-QUART,
volume = "11",
number = "3",
pages = "315--316",
month = oct,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:42 MDT 2011",
bibsource = "http://www.fq.math.ca/11-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-3/butter.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1973:PFNb,
author = "Verner E. {Hoggatt, Jr.} and Nannette Cox and Marjorie
Bicknell",
title = "A Primer for the {Fibonacci} Numbers: {Part XII}",
journal = j-FIB-QUART,
volume = "11",
number = "3",
pages = "317--331",
month = oct,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:42 MDT 2011",
bibsource = "http://www.fq.math.ca/11-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-3/hoggatt2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brousseau:1973:YOF,
author = "Brother Alfred Brousseau",
title = "Ye Olde {Fibonacci} Curiosity Shoppe",
journal = j-FIB-QUART,
volume = "11",
number = "3",
pages = "332--??",
month = oct,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:42 MDT 2011",
bibsource = "http://www.fq.math.ca/11-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-3/brousseau.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1973:EPSc,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "11",
number = "3",
pages = "333--336",
month = oct,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:42 MDT 2011",
bibsource = "http://www.fq.math.ca/11-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-3/elementary11-3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1973:SAF,
author = "L. Carlitz and Richard Scoville and Theresa Vaughan",
title = "Some Arithmetic Function Related to {Fibonacci}
Numbers",
journal = j-FIB-QUART,
volume = "11",
number = "4",
pages = "337--386",
month = nov,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:44 MDT 2011",
bibsource = "http://www.fq.math.ca/11-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-4/carlitz.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hunsucker:1973:CSF,
author = "J. L. Hunsucker and W. P. Wardlaw",
title = "Complete Sequences of {Fibonacci} Powers",
journal = j-FIB-QUART,
volume = "11",
number = "4",
pages = "387--394",
month = nov,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:44 MDT 2011",
bibsource = "http://www.fq.math.ca/11-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-4/hunsucker.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1973:AVS,
author = "Verner E. {Hoggatt, Jr.} and Danial C. Fielder",
title = "Analytical Verification of an ``at Sight''
Transformation",
journal = j-FIB-QUART,
volume = "11",
number = "4",
pages = "395--398",
month = nov,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:44 MDT 2011",
bibsource = "http://www.fq.math.ca/11-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-4/hoggatt1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1973:GFP,
author = "Verner E. {Hoggatt, Jr.} and Marjorie Bicknell",
title = "Generalized {Fibonacci} Polynomials and {Zeckendorf}'s
Theorem",
journal = j-FIB-QUART,
volume = "11",
number = "4",
pages = "399--419",
month = nov,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:44 MDT 2011",
bibsource = "http://www.fq.math.ca/11-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-4/hoggatt2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Fielder:1973:DSS,
author = "Daniel C. Fielder",
title = "A Discussion of Subscript Sets with Some {Fibonacci}
Counting Help",
journal = j-FIB-QUART,
volume = "11",
number = "4",
pages = "420--428",
month = nov,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:44 MDT 2011",
bibsource = "http://www.fq.math.ca/11-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-4/fielder1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Aho:1973:SDE,
author = "A. V. Aho and N. J. A. Sloane",
title = "Some Doubly Exponential Sequences",
journal = j-FIB-QUART,
volume = "11",
number = "4",
pages = "429--437",
month = nov,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:44 MDT 2011",
bibsource = "http://www.fq.math.ca/11-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-4/aho-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Weintraub:1973:SAL,
author = "Sol Weintraub",
title = "On Storing and Analyzing Large Strings of Primes",
journal = j-FIB-QUART,
volume = "11",
number = "4",
pages = "438--440",
month = nov,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:44 MDT 2011",
bibsource = "http://www.fq.math.ca/11-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-4/weintraub.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Fielder:1973:CCP,
author = "Daniel C. Fielder",
title = "Counting of Certain Partitions of Numbers",
journal = j-FIB-QUART,
volume = "11",
number = "4",
pages = "441--442",
month = nov,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:44 MDT 2011",
bibsource = "http://www.fq.math.ca/11-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-4/fielder2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lord:1973:COV,
author = "Graham Lord",
title = "Counting Omitted Values",
journal = j-FIB-QUART,
volume = "11",
number = "4",
pages = "443--448",
month = nov,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:44 MDT 2011",
bibsource = "http://www.fq.math.ca/11-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-4/lord.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Long:1973:ABC,
author = "Calvin T. Long",
title = "Arrays of Binomial Coefficients Whose Products are
Squares",
journal = j-FIB-QUART,
volume = "11",
number = "5",
pages = "449--456",
month = dec,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:46 MDT 2011",
bibsource = "http://www.fq.math.ca/11-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-5/long.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bicknell:1973:GFP,
author = "Marjorie Bicknell and V. E. {Hoggatt, Jr.}",
title = "Generalized {Fibonacci} Polynomials",
journal = j-FIB-QUART,
volume = "11",
number = "5",
pages = "457--465",
month = dec,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:46 MDT 2011",
bibsource = "http://www.fq.math.ca/11-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-5/hoggatt.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{DeCarli:1973:PRM,
author = "R. J. DeCarli",
title = "Periodicity Over the Ring of Matrices",
journal = j-FIB-QUART,
volume = "11",
number = "5",
pages = "466--468",
month = dec,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:46 MDT 2011",
bibsource = "http://www.fq.math.ca/11-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-5/decarli.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1973:SDF,
author = "V. E. {Hoggatt, Jr.} and Marjorie Bicknell",
title = "Special Determinants Found within Generalized {Pascal}
Triangles",
journal = j-FIB-QUART,
volume = "11",
number = "5",
pages = "469--479",
month = dec,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:46 MDT 2011",
bibsource = "http://www.fq.math.ca/11-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-5/bicknell1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hsu:1973:NCA,
author = "L. C. Hsu",
title = "Note on a Combinatorial Algebraic Identity and its
Application",
journal = j-FIB-QUART,
volume = "11",
number = "5",
pages = "480--484",
month = dec,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:46 MDT 2011",
bibsource = "http://www.fq.math.ca/11-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-5/hsu.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Arkin:1973:SCP,
author = "Joseph Arkin",
title = "A Solution to the Classical Problem of Finding Systems
of Three Mutually Orthogonal Numbers in a Cube Formed
by Three Superimposed $ 10 \times 10 \times 10 $
Cubes",
journal = j-FIB-QUART,
volume = "11",
number = "5",
pages = "485--489",
month = dec,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:46 MDT 2011",
bibsource = "http://www.fq.math.ca/11-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-5/arkin-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Sentance:1973:FAB,
author = "W. A. Sentance",
title = "A Further Analysis of {Benford's Law}",
journal = j-FIB-QUART,
volume = "11",
number = "5",
pages = "490--494",
month = dec,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:46 MDT 2011",
bibsource = "http://www.fq.math.ca/11-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-5/sentance.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lynch:1973:FRS,
author = "Michael F. Lynch",
title = "A {Fibonacci}-Related Series in an Aspect of
Information Retrieval",
journal = j-FIB-QUART,
volume = "11",
number = "5",
pages = "495--499",
month = dec,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:46 MDT 2011",
bibsource = "http://www.fq.math.ca/11-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-5/lynch.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1973:LEb,
author = "Anonymous",
title = "Letter to the Editor",
journal = j-FIB-QUART,
volume = "11",
number = "5",
pages = "500--??",
month = dec,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:46 MDT 2011",
bibsource = "http://www.fq.math.ca/11-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-5/letter.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1973:APSd,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "11",
number = "5",
pages = "501--507",
month = dec,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:46 MDT 2011",
bibsource = "http://www.fq.math.ca/11-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-5/advanced11-5.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Shea:1973:NDN,
author = "Dale D. Shea",
title = "On the Number of Divisions Needed in Finding the
Greatest Common Divisor",
journal = j-FIB-QUART,
volume = "11",
number = "5",
pages = "508--510",
month = dec,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:46 MDT 2011",
bibsource = "http://www.fq.math.ca/11-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-5/shea.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bicknell:1973:PFN,
author = "Marjorie Bicknell",
title = "A Primer for the {Fibonacci} Numbers: {Part XIII}",
journal = j-FIB-QUART,
volume = "11",
number = "5",
pages = "511--516",
month = dec,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:46 MDT 2011",
bibsource = "http://www.fq.math.ca/11-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-5/bicknell2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Shane:1973:FPF,
author = "Harold D. Shane",
title = "A {Fibonacci} Probability Function",
journal = j-FIB-QUART,
volume = "11",
number = "5",
pages = "517--522",
month = dec,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:46 MDT 2011",
bibsource = "http://www.fq.math.ca/11-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-5/shane.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Trumper:1973:SGF,
author = "Frank J. D. Trumper",
title = "Some General {Fibonacci} Shift Formulae",
journal = j-FIB-QUART,
volume = "11",
number = "5",
pages = "523--??",
month = dec,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:46 MDT 2011",
bibsource = "http://www.fq.math.ca/11-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-5/trumper.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1973:Ec,
author = "Anonymous",
title = "Errata",
journal = j-FIB-QUART,
volume = "11",
number = "5",
pages = "524--??",
month = dec,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:46 MDT 2011",
bibsource = "http://www.fq.math.ca/11-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-5/errata.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Moore:1973:MHH,
author = "Carl F. Moore",
title = "More Hidden Hexagon Squares",
journal = j-FIB-QUART,
volume = "11",
number = "5",
pages = "525--??",
month = dec,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:46 MDT 2011",
bibsource = "http://www.fq.math.ca/11-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-5/moore.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wlodarski:1973:BSF,
author = "J. Wlodarski",
title = "The {Balmer} Series and the {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "11",
number = "5",
pages = "526--??",
month = dec,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:46 MDT 2011",
bibsource = "http://www.fq.math.ca/11-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-5/wlodarski-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{King:1973:PGF,
author = "Bruce W. King",
title = "A Polynomial with Generalized {Fibonacci}
Coefficients",
journal = j-FIB-QUART,
volume = "11",
number = "5",
pages = "527--532",
month = dec,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:46 MDT 2011",
bibsource = "http://www.fq.math.ca/11-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-5/king.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Alberti:1973:APC,
author = "Furio Alberti",
title = "Another Proof for a Continued Fraction Identity",
journal = j-FIB-QUART,
volume = "11",
number = "5",
pages = "533--534",
month = dec,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:46 MDT 2011",
bibsource = "http://www.fq.math.ca/11-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-5/alberti.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Herrick:1973:PTD,
author = "Daniel Lance Herrick",
title = "On the Periodicity of the Terminal Digits in
{Fibonacci} Sequences",
journal = j-FIB-QUART,
volume = "11",
number = "5",
pages = "535--538",
month = dec,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:46 MDT 2011",
bibsource = "http://www.fq.math.ca/11-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-5/herrick.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Trigg:1973:GPR,
author = "Charles W. Trigg",
title = "Geometric Proof of a Result of {Lehmer}'s",
journal = j-FIB-QUART,
volume = "11",
number = "5",
pages = "539--540",
month = dec,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:46 MDT 2011",
bibsource = "http://www.fq.math.ca/11-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-5/trigg.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horner:1973:FA,
author = "Walter W. Horner",
title = "{Fibonacci} and {Apollonius}",
journal = j-FIB-QUART,
volume = "11",
number = "5",
pages = "541--542",
month = dec,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:46 MDT 2011",
bibsource = "http://www.fq.math.ca/11-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-5/horner.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rothstein:1973:MCS,
author = "Jerome Rothstein",
title = "A Method for Constructing Singly Even Magic Squares",
journal = j-FIB-QUART,
volume = "11",
number = "5",
pages = "543--544",
month = dec,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:46 MDT 2011",
bibsource = "http://www.fq.math.ca/11-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-5/rothstein.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Mathis:1973:TFS,
author = "William L. Mathis",
title = "The {$Z$} Transform and the {Fibonacci} Sequence",
journal = j-FIB-QUART,
volume = "11",
number = "5",
pages = "545--546",
month = dec,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:46 MDT 2011",
bibsource = "http://www.fq.math.ca/11-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-5/mathis.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Swamy:1973:GFQ,
author = "M. N. S. Swamy",
title = "On Generalized {Fibonacci} Quaternions",
journal = j-FIB-QUART,
volume = "11",
number = "5",
pages = "547--549",
month = dec,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:46 MDT 2011",
bibsource = "http://www.fq.math.ca/11-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-5/swamy.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1973:EPSd,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "11",
number = "5",
pages = "550--553",
month = dec,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:46 MDT 2011",
bibsource = "http://www.fq.math.ca/11-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-5/elementary11-5.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1973:VI,
author = "Anonymous",
title = "Volume Index",
journal = j-FIB-QUART,
volume = "11",
number = "5",
pages = "554--??",
month = dec,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:46 MDT 2011",
bibsource = "http://www.fq.math.ca/11-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-5/index.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1974:FNZ,
author = "L. Carlitz",
title = "{Fibonacci} Notes --- 1. Zero-One Sequences and
{Fibonacci} Numbers of Higher Order",
journal = j-FIB-QUART,
volume = "12",
number = "1",
pages = "1--10",
month = feb,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:48 MDT 2011",
bibsource = "http://www.fq.math.ca/12-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-1/carlitz.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Raphael:1974:LRS,
author = "Brother L. Raphael",
title = "Linearly Recursive Sequences of Integers",
journal = j-FIB-QUART,
volume = "12",
number = "1",
pages = "11--37",
month = feb,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:48 MDT 2011",
bibsource = "http://www.fq.math.ca/12-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-1/raphael.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Huntley:1974:GE,
author = "H. E. Huntley",
title = "The Golden Ellipse",
journal = j-FIB-QUART,
volume = "12",
number = "1",
pages = "38--40",
month = feb,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:48 MDT 2011",
bibsource = "http://www.fq.math.ca/12-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-1/huntley1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Laxton:1974:PMW,
author = "R. R. Laxton",
title = "On a Problem of {M. Ward}",
journal = j-FIB-QUART,
volume = "12",
number = "1",
pages = "41--44",
month = feb,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:48 MDT 2011",
bibsource = "http://www.fq.math.ca/12-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-1/laxton.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gupta:1974:GHH,
author = "A. K. Gupta",
title = "Generalized Hidden Hexagon Squares",
journal = j-FIB-QUART,
volume = "12",
number = "1",
pages = "45--??",
month = feb,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:48 MDT 2011",
bibsource = "http://www.fq.math.ca/12-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-1/gupta.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Knuth:1974:LE,
author = "Donald E. Knuth",
title = "Letter to the Editor",
journal = j-FIB-QUART,
volume = "12",
number = "1",
pages = "46, 79, 82",
month = feb,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:48 MDT 2011",
bibsource = "http://www.fq.math.ca/12-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-1/letter-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1974:DST,
author = "V. E. {Hoggatt, Jr.} and Marjorie Bicknell",
title = "Diagonal Sums of the Trinomial Triangle",
journal = j-FIB-QUART,
volume = "12",
number = "1",
pages = "47--50",
month = feb,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:48 MDT 2011",
bibsource = "http://www.fq.math.ca/12-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-1/hoggatt.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Andreassian:1974:FSM,
author = "Agnes Andreassian",
title = "{Fibonacci} Sequences Modulo $m$",
journal = j-FIB-QUART,
volume = "12",
number = "1",
pages = "51--64",
month = feb,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:48 MDT 2011",
bibsource = "http://www.fq.math.ca/12-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-1/andreassian.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Huntley:1974:PAH,
author = "H. E. Huntley",
title = "Phi: Another Hiding Place",
journal = j-FIB-QUART,
volume = "12",
number = "1",
pages = "65--??",
month = feb,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:48 MDT 2011",
bibsource = "http://www.fq.math.ca/12-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-1/huntley2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1974:FAM,
author = "Anonymous",
title = "{Fibonacci} Association Meeting: Program",
journal = j-FIB-QUART,
volume = "12",
number = "1",
pages = "66--??",
month = feb,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:48 MDT 2011",
bibsource = "http://www.fq.math.ca/12-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-1/program.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Jaiswal:1974:SGP,
author = "D. V. Jaiswal",
title = "Some Geometrical Properties of the Generalized
{Fibonacci} Sequences",
journal = j-FIB-QUART,
volume = "12",
number = "1",
pages = "67--70",
month = feb,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:48 MDT 2011",
bibsource = "http://www.fq.math.ca/12-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-1/jaiswal.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Long:1974:SBC,
author = "Calvin T. Long and V. E. {Hoggatt, Jr.}",
title = "Sets of Binomial Coefficients with Equal Products",
journal = j-FIB-QUART,
volume = "12",
number = "1",
pages = "71--79",
month = feb,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:48 MDT 2011",
bibsource = "http://www.fq.math.ca/12-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-1/long.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Harris:1974:DAF,
author = "V. C. Harris",
title = "On {Daykin}'s Algorithm for Finding the {G. C. D.}",
journal = j-FIB-QUART,
volume = "12",
number = "1",
pages = "80--??",
month = feb,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:48 MDT 2011",
bibsource = "http://www.fq.math.ca/12-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-1/harris.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Singh:1974:SFF,
author = "Sahib Singh",
title = "Stufe of a Finite Field",
journal = j-FIB-QUART,
volume = "12",
number = "1",
pages = "81--82",
month = feb,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:48 MDT 2011",
bibsource = "http://www.fq.math.ca/12-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-1/singh.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Karst:1974:IAC,
author = "Edgar Karst",
title = "Iteration Algorithms for Certain Sums of Squares",
journal = j-FIB-QUART,
volume = "12",
number = "1",
pages = "83--86",
month = feb,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:48 MDT 2011",
bibsource = "http://www.fq.math.ca/12-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-1/karst.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Turner:1974:CCP,
author = "Michael R. Turner",
title = "Certain Congruence Properties (Modulo 100) of
{Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "12",
number = "1",
pages = "87--91",
month = feb,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:48 MDT 2011",
bibsource = "http://www.fq.math.ca/12-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-1/turner.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kumar:1974:FPC,
author = "Santosh Kumar",
title = "{Fibonaccian} Pathological Curves",
journal = j-FIB-QUART,
volume = "12",
number = "1",
pages = "92--94",
month = feb,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:48 MDT 2011",
bibsource = "http://www.fq.math.ca/12-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-1/kumar.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bergum:1974:ILG,
author = "G. E. Bergum and V. E. {Hoggatt, Jr.}",
title = "Irreducibility of {Lucas} and Generalized {Lucas}
Polynomials",
journal = j-FIB-QUART,
volume = "12",
number = "1",
pages = "95--100",
month = feb,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:48 MDT 2011",
bibsource = "http://www.fq.math.ca/12-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-1/bergum.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1974:EPSa,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "12",
number = "1",
pages = "101--106",
month = feb,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:48 MDT 2011",
bibsource = "http://www.fq.math.ca/12-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-1/elementary12-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1974:APSa,
author = "R. E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "12",
number = "1",
pages = "107--112",
month = feb,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:48 MDT 2011",
bibsource = "http://www.fq.math.ca/12-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-1/advanced12-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1974:DPG,
author = "Verner E. {Hoggatt, Jr.} and Calvin T. Long",
title = "Divisibility Properties of Generalized {Fibonacci}
Polynomials",
journal = j-FIB-QUART,
volume = "12",
number = "2",
pages = "113--120",
month = apr,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:50 MDT 2011",
bibsource = "http://www.fq.math.ca/12-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-2/hoggatt1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Serkland:1974:GIP,
author = "Carl Serkland",
title = "Generating Identities for {Pell} Triples",
journal = j-FIB-QUART,
volume = "12",
number = "2",
pages = "121--128",
month = apr,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:50 MDT 2011",
bibsource = "http://www.fq.math.ca/12-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-2/serkland.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Alexanderson:1974:FAG,
author = "G. L. Alexanderson and L. F. Klosinski",
title = "A {Fibonacci} Analogue of {Gaussian} Binomial
Coefficients",
journal = j-FIB-QUART,
volume = "12",
number = "2",
pages = "129--132",
month = apr,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:50 MDT 2011",
bibsource = "http://www.fq.math.ca/12-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-2/alexanderson.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Arkin:1974:SOT,
author = "Joseph Arkin",
title = "A Solution of Orthogonal Triples in Four $ 10 \times
10 \times 10 $ Superimposed {Latin} Cubes",
journal = j-FIB-QUART,
volume = "12",
number = "2",
pages = "133--140",
month = apr,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:50 MDT 2011",
bibsource = "http://www.fq.math.ca/12-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-2/arkin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Andrews:1974:CAF,
author = "George E. Andrews",
title = "Combinatorial Analysis and {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "12",
number = "2",
pages = "141--145",
month = apr,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:50 MDT 2011",
bibsource = "http://www.fq.math.ca/12-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-2/andrews.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brousseau:1974:FSI,
author = "Brother Alfred Brousseau",
title = "{Fibonacci} Summations Involving a Power of a Rational
Number --- Summary",
journal = j-FIB-QUART,
volume = "12",
number = "2",
pages = "146--??",
month = apr,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:50 MDT 2011",
bibsource = "http://www.fq.math.ca/12-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-2/brousseau1-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1974:PFN,
author = "V. E. {Hoggatt, Jr.} and Marjorie Bicknell",
title = "A Primer for the {Fibonacci} Numbers: {Part XIV}",
journal = j-FIB-QUART,
volume = "12",
number = "2",
pages = "147--156",
month = apr,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:50 MDT 2011",
bibsource = "http://www.fq.math.ca/12-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-2/hoggatt2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gould:1974:GHD,
author = "Henry W. Gould",
title = "Generalization of {Hermite}'s Divisibility Theorems
and the {Mann--Shanks} Primality Criterion for
$s$-{Fibonomial} Arrays",
journal = j-FIB-QUART,
volume = "12",
number = "2",
pages = "157--166",
month = apr,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:50 MDT 2011",
bibsource = "http://www.fq.math.ca/12-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-2/gould.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brousseau:1974:ATO,
author = "Brother Alfred Brousseau",
title = "Algorithms for Third-Order Recursion Sequences",
journal = j-FIB-QUART,
volume = "12",
number = "2",
pages = "167--174",
month = apr,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:50 MDT 2011",
bibsource = "http://www.fq.math.ca/12-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-2/brousseau2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Catlin:1974:DSO,
author = "Paul A. Catlin",
title = "On the Divisors of Second-Order Recurrences",
journal = j-FIB-QUART,
volume = "12",
number = "2",
pages = "175--178",
month = apr,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:50 MDT 2011",
bibsource = "http://www.fq.math.ca/12-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-2/catlin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1974:FNM,
author = "L. Carlitz",
title = "{Fibonacci} Notes --- 2. Multiple Generating
Functions",
journal = j-FIB-QUART,
volume = "12",
number = "2",
pages = "179--185",
month = apr,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:50 MDT 2011",
bibsource = "http://www.fq.math.ca/12-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-2/carlitz.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ascher:1974:CI,
author = "Marcia Ascher",
title = "A Combinatorial Identity",
journal = j-FIB-QUART,
volume = "12",
number = "2",
pages = "186--188",
month = apr,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:50 MDT 2011",
bibsource = "http://www.fq.math.ca/12-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-2/ascher.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1974:DCR,
author = "V. E. {Hoggatt, Jr.} and Gerald E. Bergum",
title = "Divisibility and Congruence Relations",
journal = j-FIB-QUART,
volume = "12",
number = "2",
pages = "189--195",
month = apr,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:50 MDT 2011",
bibsource = "http://www.fq.math.ca/12-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-2/hoggatt3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Tepper:1974:CSP,
author = "Myron Tepper",
title = "Combinations and Sums of Powers",
journal = j-FIB-QUART,
volume = "12",
number = "2",
pages = "196--198",
month = apr,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:50 MDT 2011",
bibsource = "http://www.fq.math.ca/12-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-2/tepper.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brent:1974:FEP,
author = "Barry Brent",
title = "Functional Equations with Prime Roots from Arithmetic
Expressions for {$ G_\alpha $}",
journal = j-FIB-QUART,
volume = "12",
number = "2",
pages = "199--207",
month = apr,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:50 MDT 2011",
bibsource = "http://www.fq.math.ca/12-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-2/brent1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brent:1974:ERO,
author = "Barry Brent",
title = "An Expansion of $ e^x $ off Roots of One",
journal = j-FIB-QUART,
volume = "12",
number = "2",
pages = "208--??",
month = apr,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:50 MDT 2011",
bibsource = "http://www.fq.math.ca/12-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-2/brent2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Trigg:1974:ISP,
author = "Charles W. Trigg",
title = "Infinite Sequences of Palindromic Triangular Numbers",
journal = j-FIB-QUART,
volume = "12",
number = "2",
pages = "209--211",
month = apr,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:50 MDT 2011",
bibsource = "http://www.fq.math.ca/12-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-2/trigg.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bergum:1974:NFP,
author = "Gerald E. Bergum",
title = "A Note on the {Fermat--Pellian} Equation",
journal = j-FIB-QUART,
volume = "12",
number = "2",
pages = "212--??",
month = apr,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:50 MDT 2011",
bibsource = "http://www.fq.math.ca/12-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-2/bergum.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1974:APSb,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "12",
number = "2",
pages = "213--219",
month = apr,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:50 MDT 2011",
bibsource = "http://www.fq.math.ca/12-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-2/advanced12-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1974:EPSb,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "12",
number = "2",
pages = "220--??",
month = apr,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:50 MDT 2011",
bibsource = "http://www.fq.math.ca/12-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-2/elementary12-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1974:TN,
author = "V. E. {Hoggatt, Jr.} and Marjorie Bicknell",
title = "Triangular Numbers",
journal = j-FIB-QUART,
volume = "12",
number = "3",
pages = "221--230",
month = oct,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:52 MDT 2011",
bibsource = "http://www.fq.math.ca/12-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-3/hoggatt.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hilton:1974:FTE,
author = "A. J. W. Hilton",
title = "On {Fern}'s Theorem on the Expansion of {Fibonacci}
and {Lucas} Numbers",
journal = j-FIB-QUART,
volume = "12",
number = "3",
pages = "231--??",
month = oct,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:52 MDT 2011",
bibsource = "http://www.fq.math.ca/12-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-3/hilton1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1974:FAR,
author = "Anonymous",
title = "The {Fibonacci Association Research Conference}",
journal = j-FIB-QUART,
volume = "12",
number = "3",
pages = "232--??",
month = oct,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:52 MDT 2011",
bibsource = "http://www.fq.math.ca/12-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-3/program.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wunderlich:1974:ADE,
author = "F. J. Wunderlich and D. E. Shaw and M. J. Hones",
title = "{Argand} Diagrams of Extended {Fibonacci} and {Lucas}
Numbers",
journal = j-FIB-QUART,
volume = "12",
number = "3",
pages = "233--234",
month = oct,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:52 MDT 2011",
bibsource = "http://www.fq.math.ca/12-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-3/wunderlich.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{DeTemple:1974:PA,
author = "Duane W. DeTemple",
title = "A Pentagonal Arch",
journal = j-FIB-QUART,
volume = "12",
number = "3",
pages = "235--236",
month = oct,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:52 MDT 2011",
bibsource = "http://www.fq.math.ca/12-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-3/detemple.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Shannon:1974:GHF,
author = "A. G. Shannon",
title = "A Generalization of the {Hilton--Fern} Theorem on the
Expansion of {Fibonacci} and {Lucas} Numbers",
journal = j-FIB-QUART,
volume = "12",
number = "3",
pages = "237--240",
month = oct,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:52 MDT 2011",
bibsource = "http://www.fq.math.ca/12-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-3/shannon1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Walton:1974:SAG,
author = "J. W. Walton and A. F. Horadam",
title = "Some Aspects of Generalized {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "12",
number = "3",
pages = "241--250",
month = oct,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:52 MDT 2011",
bibsource = "http://www.fq.math.ca/12-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-3/walton1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{deBruijn:1974:EFS,
author = "P. J. deBruijn",
title = "An Extension of {Fibonacci}'s Sequence",
journal = j-FIB-QUART,
volume = "12",
number = "3",
pages = "251--258",
month = oct,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:52 MDT 2011",
bibsource = "http://www.fq.math.ca/12-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-3/debruijn.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hilton:1974:STF,
author = "A. J. W. Hilton",
title = "Spanning Trees and {Fibonacci} and {Lucas} Numbers",
journal = j-FIB-QUART,
volume = "12",
number = "3",
pages = "259--262",
month = oct,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:52 MDT 2011",
bibsource = "http://www.fq.math.ca/12-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-3/hilton2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Jaiswal:1974:PRT,
author = "D. V. Jaiswal",
title = "On Polynomials Related to {Tchebichef} Polynomials of
the Second Kind",
journal = j-FIB-QUART,
volume = "12",
number = "3",
pages = "263--264",
month = oct,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:52 MDT 2011",
bibsource = "http://www.fq.math.ca/12-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-3/jaiswal.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
keywords = "Chebychev; Chebyshev",
}
@Article{Carlitz:1974:CET,
author = "L. Carlitz and Margaret Hodel",
title = "Corrigendum to: {``Enumeration of Two-Line Arrays''}",
journal = j-FIB-QUART,
volume = "12",
number = "3",
pages = "265--266",
month = oct,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:52 MDT 2011",
bibsource = "http://www.fq.math.ca/12-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "See \cite{Carlitz:1973:ETL}.",
URL = "http://www.fq.math.ca/Scanned/12-3/corrigendum.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:1974:ON,
author = "A. F. Horadam",
title = "{Oresme} Numbers",
journal = j-FIB-QUART,
volume = "12",
number = "3",
pages = "267--270",
month = oct,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:52 MDT 2011",
bibsource = "http://www.fq.math.ca/12-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-3/horadam.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Shanks:1974:II,
author = "Daniel Shanks",
title = "Incredible Identities",
journal = j-FIB-QUART,
volume = "12",
number = "3",
pages = "271--??",
month = oct,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:52 MDT 2011",
bibsource = "http://www.fq.math.ca/12-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-3/shanks-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Walton:1974:SFI,
author = "J. E. Walton and A. F. Horadam",
title = "Some Further Identities for the Generalized
{Fibonacci} Sequence {$ H_n $}",
journal = j-FIB-QUART,
volume = "12",
number = "3",
pages = "272--280",
month = oct,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:52 MDT 2011",
bibsource = "http://www.fq.math.ca/12-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-3/walton2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Shannon:1974:EEP,
author = "A. G. Shannon",
title = "Explicit Expressions for Powers of Linear Recursive
Sequences",
journal = j-FIB-QUART,
volume = "12",
number = "3",
pages = "281--287",
month = oct,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:52 MDT 2011",
bibsource = "http://www.fq.math.ca/12-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-3/shannon2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Arkin:1974:LC,
author = "Joseph Arkin and E. G. Straus",
title = "{Latin} $k$-Cubes",
journal = j-FIB-QUART,
volume = "12",
number = "3",
pages = "288--291",
month = oct,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:52 MDT 2011",
bibsource = "http://www.fq.math.ca/12-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-3/arkin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Monzingo:1974:EFN,
author = "M. G. Monzingo",
title = "On Extending the {Fibonacci} Numbers to the Negative
Integers",
journal = j-FIB-QUART,
volume = "12",
number = "3",
pages = "292--??",
month = oct,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:52 MDT 2011",
bibsource = "http://www.fq.math.ca/12-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-3/monzingo-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Shannon:1974:MCA,
author = "A. G. Shannon",
title = "A Method of {Carlitz} Applied to the $k$ th Power
Generating Function for {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "12",
number = "3",
pages = "293--298",
month = oct,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:52 MDT 2011",
bibsource = "http://www.fq.math.ca/12-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-3/shannon3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Guy:1974:CS,
author = "Richard Guy and Daniel Shanks",
title = "A Constructed Solution of $ \sigma (n) = \sigma (n +
1) $",
journal = j-FIB-QUART,
volume = "12",
number = "3",
pages = "299--??",
month = oct,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:52 MDT 2011",
bibsource = "http://www.fq.math.ca/12-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-3/guy.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gould:1974:DFB,
author = "H. W. Gould",
title = "The Design of the Four Binomial Identities: {Moriarty}
Intervenes",
journal = j-FIB-QUART,
volume = "12",
number = "3",
pages = "300--308",
month = oct,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:52 MDT 2011",
bibsource = "http://www.fq.math.ca/12-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-3/gould.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1974:APSc,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "12",
number = "3",
pages = "309--312",
month = oct,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:52 MDT 2011",
bibsource = "http://www.fq.math.ca/12-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-3/advanced12-3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1974:EPSc,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "12",
number = "3",
pages = "313--316",
month = oct,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:52 MDT 2011",
bibsource = "http://www.fq.math.ca/12-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-3/elementary12-3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1974:FNF,
author = "L. Carlitz",
title = "{Fibonacci} Notes --- 3: $q$-{Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "12",
number = "4",
pages = "317--322",
month = dec,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:54 MDT 2011",
bibsource = "http://www.fq.math.ca/12-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-4/carlitz1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Page:1974:PQM,
author = "Warren Page",
title = "{P.Q.M.}-Cycles, a Generalized Number Problem",
journal = j-FIB-QUART,
volume = "12",
number = "4",
pages = "323--325",
month = dec,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:54 MDT 2011",
bibsource = "http://www.fq.math.ca/12-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-4/page.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Trigg:1974:AP,
author = "Charles W. Trigg",
title = "The {Apollonius} Problem",
journal = j-FIB-QUART,
volume = "12",
number = "4",
pages = "326--??",
month = dec,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:54 MDT 2011",
bibsource = "http://www.fq.math.ca/12-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-4/trigg1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Shannon:1974:SPF,
author = "A. G. Shannon",
title = "Some Properties of a Fundamental Recursive Sequence of
Arbitrary Order",
journal = j-FIB-QUART,
volume = "12",
number = "4",
pages = "327--334",
month = dec,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:54 MDT 2011",
bibsource = "http://www.fq.math.ca/12-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-4/shannon1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Erdos:1974:LE,
author = "Paul Erd{\H{o}}s",
title = "Letter to the Editor",
journal = j-FIB-QUART,
volume = "12",
number = "4",
pages = "335--??",
month = dec,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:54 MDT 2011",
bibsource = "http://www.fq.math.ca/12-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-4/letter.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Church:1974:LPF,
author = "C. A. {Church, Jr.}",
title = "Lattice Paths and {Fibonacci} and {Lucas} Numbers",
journal = j-FIB-QUART,
volume = "12",
number = "4",
pages = "336--338",
month = dec,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:54 MDT 2011",
bibsource = "http://www.fq.math.ca/12-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-4/church.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hilton:1974:PHG,
author = "A. J. W. Hilton",
title = "On the Partition of {Haradam}'s Generalized Sequences
into Generalized {Fibonacci} and Generalized {Lucas}
Sequences",
journal = j-FIB-QUART,
volume = "12",
number = "4",
pages = "339--344",
month = dec,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:54 MDT 2011",
bibsource = "http://www.fq.math.ca/12-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-4/hilton.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1974:E,
author = "Anonymous",
title = "Errata",
journal = j-FIB-QUART,
volume = "12",
number = "4",
pages = "345--??",
month = dec,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:54 MDT 2011",
bibsource = "http://www.fq.math.ca/12-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-4/errata.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Good:1974:RSF,
author = "I. J. Good",
title = "A Reciprocal Series of {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "12",
number = "4",
pages = "346--??",
month = dec,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:54 MDT 2011",
bibsource = "http://www.fq.math.ca/12-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-4/good.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Goodwin:1974:PSC,
author = "Norris Goodwin",
title = "Power Series and Cyclic Decimals",
journal = j-FIB-QUART,
volume = "12",
number = "4",
pages = "347--??",
month = dec,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:54 MDT 2011",
bibsource = "http://www.fq.math.ca/12-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-4/goodwin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:1974:GFP,
author = "A. F. Horadam",
title = "On Generating Functions for Powers of a Generalized
Sequence of Numbers",
journal = j-FIB-QUART,
volume = "12",
number = "4",
pages = "348--??",
month = dec,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:54 MDT 2011",
bibsource = "http://www.fq.math.ca/12-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-4/horadam-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Catlin:1974:LBP,
author = "Paul A. Catlin",
title = "A Lower Bound for the Period of the {Fibonacci} Series
Modulo {$M$}",
journal = j-FIB-QUART,
volume = "12",
number = "4",
pages = "349--350",
month = dec,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:54 MDT 2011",
bibsource = "http://www.fq.math.ca/12-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-4/catlin1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Shannon:1974:SCF,
author = "A. G. Shannon and A. F. Horadam and S. N. Collings",
title = "Some Congruences for {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "12",
number = "4",
pages = "351--354",
month = dec,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:54 MDT 2011",
bibsource = "http://www.fq.math.ca/12-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-4/shannon2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Fielder:1974:FNT,
author = "Daniel C. Fielder",
title = "{Fibonacci} Numbers in Tree Counts for Sector and
Related Graphs",
journal = j-FIB-QUART,
volume = "12",
number = "4",
pages = "355--359",
month = dec,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:54 MDT 2011",
bibsource = "http://www.fq.math.ca/12-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-4/fielder.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hodel:1974:CIA,
author = "M. J. Hodel",
title = "Combinatorial Interpretation of an Analog of
Generalized Binomial Coefficients",
journal = j-FIB-QUART,
volume = "12",
number = "4",
pages = "360--362",
month = dec,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:54 MDT 2011",
bibsource = "http://www.fq.math.ca/12-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-4/hodel.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hochberg:1974:SDN,
author = "Murray Hochberg",
title = "On the Set of Divisor of a Number",
journal = j-FIB-QUART,
volume = "12",
number = "4",
pages = "363--364",
month = dec,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:54 MDT 2011",
bibsource = "http://www.fq.math.ca/12-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-4/hochberg.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Catlin:1974:MR,
author = "Paul A. Catlin",
title = "On the Multiplication of Recurrences",
journal = j-FIB-QUART,
volume = "12",
number = "4",
pages = "365--367",
month = dec,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:54 MDT 2011",
bibsource = "http://www.fq.math.ca/12-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-4/catlin2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Zeitlin:1974:NFL,
author = "David Zeitlin",
title = "A Note on {Fermat's Last Theorem}",
journal = j-FIB-QUART,
volume = "12",
number = "4",
pages = "368--??",
month = dec,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:54 MDT 2011",
bibsource = "http://www.fq.math.ca/12-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-4/zeitlin-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1974:I,
author = "L. Carlitz",
title = "A $q$-Identity",
journal = j-FIB-QUART,
volume = "12",
number = "4",
pages = "369--372",
month = dec,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:54 MDT 2011",
bibsource = "http://www.fq.math.ca/12-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-4/carlitz2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Grimson:1974:ECA,
author = "R. C. Grimson",
title = "The Evaluation of Certain Arithmetic Sums",
journal = j-FIB-QUART,
volume = "12",
number = "4",
pages = "373--380",
month = dec,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:54 MDT 2011",
bibsource = "http://www.fq.math.ca/12-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-4/grimson.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Waddill:1974:MGF,
author = "Marcellus E. Waddill",
title = "Matrices and Generalized {Fibonacci} Sequences",
journal = j-FIB-QUART,
volume = "12",
number = "4",
pages = "381--386",
month = dec,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:54 MDT 2011",
bibsource = "http://www.fq.math.ca/12-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-4/waddill.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Trigg:1974:ASD,
author = "Charles W. Trigg",
title = "Antimagic Squares Derived from the Third-Order Magic
Square",
journal = j-FIB-QUART,
volume = "12",
number = "4",
pages = "387--390",
month = dec,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:54 MDT 2011",
bibsource = "http://www.fq.math.ca/12-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-4/trigg2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Vegh:1974:CER,
author = "Emanuel Vegh",
title = "Concerning an Equivalence Relation for Matrices",
journal = j-FIB-QUART,
volume = "12",
number = "4",
pages = "391--392",
month = dec,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:54 MDT 2011",
bibsource = "http://www.fq.math.ca/12-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-4/vegh.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gould:1974:SSG,
author = "H. W. Gould",
title = "Some Sequences Generated by Spiral Sieving Methods",
journal = j-FIB-QUART,
volume = "12",
number = "4",
pages = "393--397",
month = dec,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:54 MDT 2011",
bibsource = "http://www.fq.math.ca/12-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-4/gould.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1974:APSd,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "12",
number = "4",
pages = "398--402",
month = dec,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:54 MDT 2011",
bibsource = "http://www.fq.math.ca/12-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-4/advanced12-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1974:EPSd,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "12",
number = "4",
pages = "403--406",
month = dec,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:54 MDT 2011",
bibsource = "http://www.fq.math.ca/12-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-4/elementary12-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1974:VI,
author = "Anonymous",
title = "Volume Index",
journal = j-FIB-QUART,
volume = "12",
number = "4",
pages = "407--??",
month = dec,
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:54 MDT 2011",
bibsource = "http://www.fq.math.ca/12-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/12-4/index.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Alladi:1975:FSF,
author = "Krishnaswami Alladi",
title = "A {Farey} Sequence of {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "13",
number = "1",
pages = "1--10",
month = feb,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:56 MDT 2011",
bibsource = "http://www.fq.math.ca/13-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-1/alladi1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Good:1975:NOC,
author = "I. J. Good",
title = "The Number of Orderings of $n$ Candidates When Ties
are Permitted",
journal = j-FIB-QUART,
volume = "13",
number = "1",
pages = "11--18",
month = feb,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:56 MDT 2011",
bibsource = "http://www.fq.math.ca/13-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-1/good.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bergum:1975:CPR,
author = "G. E. Bergum and W. J. Wagner and V. E. {Hoggatt,
Jr.}",
title = "{Chebyshev} Polynomials and Related Sequences",
journal = j-FIB-QUART,
volume = "13",
number = "1",
pages = "19--24",
month = feb,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:56 MDT 2011",
bibsource = "http://www.fq.math.ca/13-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-1/bergum.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{McDaniel:1975:SRC,
author = "W. L. McDaniel and Peter {Hagis, Jr.}",
title = "Some Results Concerning the Non-Existence of Odd
Perfect Numbers of the Form {$ p^\alpha M^{2 \beta }
$}",
journal = j-FIB-QUART,
volume = "13",
number = "1",
pages = "25--28",
month = feb,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:56 MDT 2011",
bibsource = "http://www.fq.math.ca/13-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-1/mcdaniel.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Heed:1975:ISF,
author = "Joseph J. Heed and Lucille Kelly",
title = "An Interesting Sequence of {Fibonacci} Sequence
Generators",
journal = j-FIB-QUART,
volume = "13",
number = "1",
pages = "29--30",
month = feb,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:56 MDT 2011",
bibsource = "http://www.fq.math.ca/13-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-1/heed.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Alladi:1975:RMF,
author = "Krishnaswami Alladi",
title = "A Rapid Method to Form {Farey} {Fibonacci} Fractions",
journal = j-FIB-QUART,
volume = "13",
number = "1",
pages = "31--??",
month = feb,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:56 MDT 2011",
bibsource = "http://www.fq.math.ca/13-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-1/alladi2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Shallit:1975:SPP,
author = "Jeffrey Shallit",
title = "A Simple Proof that Phi is Irrational",
journal = j-FIB-QUART,
volume = "13",
number = "1",
pages = "32--??",
month = feb,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:56 MDT 2011",
bibsource = "http://www.fq.math.ca/13-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-1/shallit.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brousseau:1975:SS,
author = "Brother Alfred Brousseau",
title = "Symmetric Sequences",
journal = j-FIB-QUART,
volume = "13",
number = "1",
pages = "33--41",
month = feb,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:56 MDT 2011",
bibsource = "http://www.fq.math.ca/13-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-1/brousseau.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Layman:1975:SIN,
author = "John W. Layman",
title = "Some Interesting Necessary Conditions for $ (a - 1)^n
+ (b - 1)^n - (c - 1)^n = 0 $",
journal = j-FIB-QUART,
volume = "13",
number = "1",
pages = "42--44",
month = feb,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:56 MDT 2011",
bibsource = "http://www.fq.math.ca/13-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-1/layman.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Holden:1975:FT,
author = "Herbert L. Holden",
title = "{Fibonacci} Tiles",
journal = j-FIB-QUART,
volume = "13",
number = "1",
pages = "45--49",
month = feb,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:56 MDT 2011",
bibsource = "http://www.fq.math.ca/13-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-1/holden.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Sun:1975:ESR,
author = "Hugo S. Sun",
title = "Embedding a Semigroup in a Ring",
journal = j-FIB-QUART,
volume = "13",
number = "1",
pages = "50--??",
month = feb,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:56 MDT 2011",
bibsource = "http://www.fq.math.ca/13-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-1/sun.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rebman:1975:SC,
author = "Kenneth R. Rebman",
title = "The Sequence: $ 1 5 16 45 121 320 $ --- In
Combinatorics",
journal = j-FIB-QUART,
volume = "13",
number = "1",
pages = "51--55",
month = feb,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:56 MDT 2011",
bibsource = "http://www.fq.math.ca/13-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-1/rebman.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Woo:1975:NBT,
author = "Norman Woo",
title = "Non-Basic Triples",
journal = j-FIB-QUART,
volume = "13",
number = "1",
pages = "56--58",
month = feb,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:56 MDT 2011",
bibsource = "http://www.fq.math.ca/13-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-1/woo.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Byrd:1975:NRB,
author = "Paul F. Byrd",
title = "New Relations Between {Fibonacci} and {Bernoulli}
Numbers",
journal = j-FIB-QUART,
volume = "13",
number = "1",
pages = "59--69",
month = feb,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:56 MDT 2011",
bibsource = "http://www.fq.math.ca/13-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-1/byrd.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hitotumatu:1975:SDT,
author = "Sin Hitotumatu and Daihachiro Sato",
title = "{Star of David Theorem} ({I})",
journal = j-FIB-QUART,
volume = "13",
number = "1",
pages = "70--??",
month = feb,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:56 MDT 2011",
bibsource = "http://www.fq.math.ca/13-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-1/hitotumatu.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1975:ENO,
author = "L. Carlitz and Richard Scoville",
title = "{Eulerian} Numbers and Operators",
journal = j-FIB-QUART,
volume = "13",
number = "1",
pages = "71--83",
month = feb,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:56 MDT 2011",
bibsource = "http://www.fq.math.ca/13-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-1/carlitz.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Jones:1975:DRF,
author = "James P. Jones",
title = "{Diophantine} Representation of the {Fibonacci}
Numbers",
journal = j-FIB-QUART,
volume = "13",
number = "1",
pages = "84--88",
month = feb,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:56 MDT 2011",
bibsource = "http://www.fq.math.ca/13-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-1/jones.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1975:APSa,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "13",
number = "1",
pages = "89--93",
month = feb,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:56 MDT 2011",
bibsource = "http://www.fq.math.ca/13-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-1/advanced13-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1975:EPSa,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "13",
number = "1",
pages = "94--96",
month = feb,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:56 MDT 2011",
bibsource = "http://www.fq.math.ca/13-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-1/elementary13-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1975:FNF,
author = "L. Carlitz",
title = "{Fibonacci} Notes --- 4: $q$-{Fibonacci} Polynomials",
journal = j-FIB-QUART,
volume = "13",
number = "2",
pages = "97--102",
month = apr,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:58 MDT 2011",
bibsource = "http://www.fq.math.ca/13-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-2/carlitz1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bruckman:1975:GIM,
author = "Paul S. Bruckman",
title = "A General Identity for Multisecting Generating
Functions",
journal = j-FIB-QUART,
volume = "13",
number = "2",
pages = "103--104",
month = apr,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:58 MDT 2011",
bibsource = "http://www.fq.math.ca/13-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-2/bruckman1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bruckman:1975:FX,
author = "Paul S. Bruckman",
title = "A Formula for {$ A_n^2 (x) $}",
journal = j-FIB-QUART,
volume = "13",
number = "2",
pages = "105--106",
month = apr,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:58 MDT 2011",
bibsource = "http://www.fq.math.ca/13-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-2/bruckman2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Arkin:1975:GFN,
author = "Joseph Arkin and V. E. {Hoggatt, Jr.}",
title = "The Generalized {Fibonacci} Number and Its Relation to
{Wilson}'s Theorem",
journal = j-FIB-QUART,
volume = "13",
number = "2",
pages = "107--109",
month = apr,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:58 MDT 2011",
bibsource = "http://www.fq.math.ca/13-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-2/arkin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wegener:1975:PTA,
author = "Delano P. Wegener and Joseph A. Wehlen",
title = "{Pythagorean} Triangles --- Abstract",
journal = j-FIB-QUART,
volume = "13",
number = "2",
pages = "110--??",
month = apr,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:58 MDT 2011",
bibsource = "http://www.fq.math.ca/13-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-2/wegener-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Byrd:1975:RBE,
author = "Paul F. Byrd",
title = "Relations Between {Euler} and {Lucas} Numbers",
journal = j-FIB-QUART,
volume = "13",
number = "2",
pages = "111--114",
month = apr,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:58 MDT 2011",
bibsource = "http://www.fq.math.ca/13-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-2/byrd.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bergum:1975:SPR,
author = "G. E. Bergum and V. E. {Hoggatt, Jr.}",
title = "Sums and Products for Recurring Sequences",
journal = j-FIB-QUART,
volume = "13",
number = "2",
pages = "115--120",
month = apr,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:58 MDT 2011",
bibsource = "http://www.fq.math.ca/13-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-2/bergum.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1975:SIB,
author = "L. Carlitz",
title = "Some Identities of {Bruckman}",
journal = j-FIB-QUART,
volume = "13",
number = "2",
pages = "121--126",
month = apr,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:58 MDT 2011",
bibsource = "http://www.fq.math.ca/13-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-2/carlitz2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gould:1975:FPE,
author = "Henry W. Gould",
title = "Formal Proof of Equivalence of Two Solutions of the
General {Pascal} Recurrence",
journal = j-FIB-QUART,
volume = "13",
number = "2",
pages = "127--128",
month = apr,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:58 MDT 2011",
bibsource = "http://www.fq.math.ca/13-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-2/gould.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1975:NSG,
author = "L. Carlitz",
title = "Note on Some Generating Functions",
journal = j-FIB-QUART,
volume = "13",
number = "2",
pages = "129--133",
month = apr,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:58 MDT 2011",
bibsource = "http://www.fq.math.ca/13-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-2/carlitz3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wong:1975:GPT,
author = "C. K. Wong and T. W. Maddocks",
title = "A Generalized {Pascal}'s Triangle",
journal = j-FIB-QUART,
volume = "13",
number = "2",
pages = "134--136",
month = apr,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:58 MDT 2011",
bibsource = "http://www.fq.math.ca/13-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-2/wong.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1975:GFT,
author = "V. E. {Hoggatt, Jr.} and Krishnaswami Alladi",
title = "Generalized {Fibonacci} Tiling",
journal = j-FIB-QUART,
volume = "13",
number = "2",
pages = "137--144",
month = apr,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:58 MDT 2011",
bibsource = "http://www.fq.math.ca/13-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-2/hoggatt1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brousseau:1975:LIS,
author = "Brother Alfred Brousseau",
title = "A Least Integer Sequence Investigation",
journal = j-FIB-QUART,
volume = "13",
number = "2",
pages = "145--146",
month = apr,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:58 MDT 2011",
bibsource = "http://www.fq.math.ca/13-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-2/brousseau-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Alder:1975:IRN,
author = "H. L. Alder and Amin A. Muwafi",
title = "Identities Relating the Number of Partitions into an
Even and Odd Number of Parts",
journal = j-FIB-QUART,
volume = "13",
number = "2",
pages = "147--149",
month = apr,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:58 MDT 2011",
bibsource = "http://www.fq.math.ca/13-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-2/alder.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lehmer:1975:FRS,
author = "D. H. Lehmer",
title = "{Fibonacci} and Related Sequences in Periodic
Tridiagonal Matrices",
journal = j-FIB-QUART,
volume = "13",
number = "2",
pages = "150--158",
month = apr,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:58 MDT 2011",
bibsource = "http://www.fq.math.ca/13-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-2/lehmer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Salle:1975:MVR,
author = "H. J. A. Sall{\'e}",
title = "A Maximum Value for the Rank of Apparition of Integers
in Recursive Sequences",
journal = j-FIB-QUART,
volume = "13",
number = "2",
pages = "159--160",
month = apr,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:58 MDT 2011",
bibsource = "http://www.fq.math.ca/13-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-2/salle.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1975:FLS,
author = "V. E. {Hoggatt, Jr.} and John W. Phillips",
title = "{Fibonacci} and {Lucas} Sums in the $r$-Normal
Triangle --- Abstract",
journal = j-FIB-QUART,
volume = "13",
number = "2",
pages = "161--??",
month = apr,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:58 MDT 2011",
bibsource = "http://www.fq.math.ca/13-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-2/hoggatt2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lindle:1975:EMI,
author = "Sam Lindle",
title = "Exponential Modular Identity Elements and the
Generalized Last Digit Problem",
journal = j-FIB-QUART,
volume = "13",
number = "2",
pages = "162--170",
month = apr,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:58 MDT 2011",
bibsource = "http://www.fq.math.ca/13-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-2/lindle.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Abercrombie:1975:LE,
author = "Alexander G. Abercrombie",
title = "Letter to the Editor",
journal = j-FIB-QUART,
volume = "13",
number = "2",
pages = "171--173",
month = apr,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:58 MDT 2011",
bibsource = "http://www.fq.math.ca/13-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-2/letter.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Mann:1975:SAP,
author = "James M. Mann",
title = "Signed $b$-Adic Partitions",
journal = j-FIB-QUART,
volume = "13",
number = "2",
pages = "174--180",
month = apr,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:58 MDT 2011",
bibsource = "http://www.fq.math.ca/13-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-2/mann.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Booth:1975:IRR,
author = "Ada Booth",
title = "{Idiot}'s Roulette Revisited",
journal = j-FIB-QUART,
volume = "13",
number = "2",
pages = "181--184",
month = apr,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:58 MDT 2011",
bibsource = "http://www.fq.math.ca/13-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-2/booth.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1975:APSb,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "13",
number = "2",
pages = "185--189",
month = apr,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:58 MDT 2011",
bibsource = "http://www.fq.math.ca/13-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-2/advanced13-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1975:EPSb,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "13",
number = "2",
pages = "190--192",
month = apr,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:58 MDT 2011",
bibsource = "http://www.fq.math.ca/13-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-2/elementary13-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1975:GCA,
author = "V. E. {Hoggatt, Jr.} and G. E. Bergum",
title = "Generalized Convolution Arrays",
journal = j-FIB-QUART,
volume = "13",
number = "3",
pages = "193--197",
month = oct,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:01 MDT 2011",
bibsource = "http://www.fq.math.ca/13-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-3/hoggatt1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1975:LE,
author = "Anonymous",
title = "Letter to the Editor",
journal = j-FIB-QUART,
volume = "13",
number = "3",
pages = "198--??",
month = oct,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:01 MDT 2011",
bibsource = "http://www.fq.math.ca/13-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-3/letter.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Miller:1975:RDD,
author = "Michael D. Miller",
title = "A Recursively Defined Divisor Function",
journal = j-FIB-QUART,
volume = "13",
number = "3",
pages = "199--203",
month = oct,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:01 MDT 2011",
bibsource = "http://www.fq.math.ca/13-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-3/miller.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Griffin:1975:SEO,
author = "William Raymond Griffin",
title = "Significance of Even-Oddness of a {Prime}'s
Penultimate Digit",
journal = j-FIB-QUART,
volume = "13",
number = "3",
pages = "204--??",
month = oct,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:01 MDT 2011",
bibsource = "http://www.fq.math.ca/13-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-3/griffin-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hahn:1975:APM,
author = "H. S. Hahn",
title = "Another Property of Magic Squares",
journal = j-FIB-QUART,
volume = "13",
number = "3",
pages = "205--208",
month = oct,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:01 MDT 2011",
bibsource = "http://www.fq.math.ca/13-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-3/hahn.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bunder:1975:HFF,
author = "M. W. Bunder",
title = "On {Halsey}'s {Fibonacci} Function",
journal = j-FIB-QUART,
volume = "13",
number = "3",
pages = "209--210",
month = oct,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:01 MDT 2011",
bibsource = "http://www.fq.math.ca/13-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-3/bunder1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cross:1975:FMM,
author = "Donald C. Cross",
title = "{Fibonacci} Multi-Multigrades",
journal = j-FIB-QUART,
volume = "13",
number = "3",
pages = "211--212",
month = oct,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:01 MDT 2011",
bibsource = "http://www.fq.math.ca/13-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-3/cross.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Williams:1975:FNF,
author = "H. C. Williams",
title = "On {Fibonacci} Numbers of the Form $ k^2 + 1 $",
journal = j-FIB-QUART,
volume = "13",
number = "3",
pages = "213--214",
month = oct,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:01 MDT 2011",
bibsource = "http://www.fq.math.ca/13-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-3/williams1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Stanley:1975:FL,
author = "Richard P. Stanley",
title = "The {Fibonacci} Lattice",
journal = j-FIB-QUART,
volume = "13",
number = "3",
pages = "215--232",
month = oct,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:01 MDT 2011",
bibsource = "http://www.fq.math.ca/13-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-3/stanley.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Alladi:1975:COT,
author = "Krishnaswami Alladi and V. E. {Hoggatt, Jr.}",
title = "Compositions with Ones and Twos",
journal = j-FIB-QUART,
volume = "13",
number = "3",
pages = "233--239",
month = oct,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:01 MDT 2011",
bibsource = "http://www.fq.math.ca/13-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-3/alladi1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Williams:1975:RAG,
author = "H. C. Williams",
title = "The Rank of Apparition of a Generalized {Fibonacci}
Sequences",
journal = j-FIB-QUART,
volume = "13",
number = "3",
pages = "240--242",
month = oct,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:01 MDT 2011",
bibsource = "http://www.fq.math.ca/13-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-3/williams2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Peterson:1975:SDE,
author = "Brian Peterson and V. E. {Hoggatt, Jr.}",
title = "On the Solutions to the {Diophantine} Equation {$ x^2
+ x y - y^2 = \pm D $}, or the Number of
{Fibonacci}-Type Sequences with a Given
Characteristic",
journal = j-FIB-QUART,
volume = "13",
number = "3",
pages = "243--251",
month = oct,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:01 MDT 2011",
bibsource = "http://www.fq.math.ca/13-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-3/peterson.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Mowshowitz:1975:EEL,
author = "Abbe Mowshowitz and Frank Harary",
title = "Enumeration of End-Labeled Trees",
journal = j-FIB-QUART,
volume = "13",
number = "3",
pages = "252--254",
month = oct,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:01 MDT 2011",
bibsource = "http://www.fq.math.ca/13-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-3/mowshowitz.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Alladi:1975:AIF,
author = "Krishnaswami Alladi",
title = "Approximation of Irrationals with {Farey} {Fibonacci}
Fractions",
journal = j-FIB-QUART,
volume = "13",
number = "3",
pages = "255--259",
month = oct,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:01 MDT 2011",
bibsource = "http://www.fq.math.ca/13-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-3/alladi2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Everett:1975:GIT,
author = "C. J. Everett",
title = "A Greatest Integer Theorem for {Fibonacci} Spaces",
journal = j-FIB-QUART,
volume = "13",
number = "3",
pages = "260--262",
month = oct,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:01 MDT 2011",
bibsource = "http://www.fq.math.ca/13-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-3/everett.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wegener:1975:PPT,
author = "Delano P. Wegener",
title = "Primitive {Pythagorean} Triples with Sum of Difference
of Legs Equal to a Prime",
journal = j-FIB-QUART,
volume = "13",
number = "3",
pages = "263--277",
month = oct,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:01 MDT 2011",
bibsource = "http://www.fq.math.ca/13-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-3/wegener.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1975:SP,
author = "V. E. {Hoggatt, Jr.} and Marjorie Bicknell",
title = "Special Partitions",
journal = j-FIB-QUART,
volume = "13",
number = "3",
pages = "278--??",
month = oct,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:01 MDT 2011",
bibsource = "http://www.fq.math.ca/13-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-3/hoggatt2-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bunder:1975:PP,
author = "M. W. Bunder",
title = "Products and Powers",
journal = j-FIB-QUART,
volume = "13",
number = "3",
pages = "279--??",
month = oct,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:01 MDT 2011",
bibsource = "http://www.fq.math.ca/13-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-3/bunder2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bunder:1975:SCG,
author = "M. W. Bunder",
title = "A Special Case of the Generalized {Fibonacci} Sequence
Over an Arbitrary Ring with Identity",
journal = j-FIB-QUART,
volume = "13",
number = "3",
pages = "280--??",
month = oct,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:01 MDT 2011",
bibsource = "http://www.fq.math.ca/13-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-3/bunder3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1975:APSc,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "13",
number = "3",
pages = "281--284",
month = oct,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:01 MDT 2011",
bibsource = "http://www.fq.math.ca/13-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-3/advanced13-3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1975:EPSc,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "13",
number = "3",
pages = "285--288",
month = oct,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:01 MDT 2011",
bibsource = "http://www.fq.math.ca/13-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-3/elementary13-3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Stone:1975:GIF,
author = "Richard R. Stone",
title = "General Identities for {Fibonacci} and {Lucas} Numbers
with Polynomial Subscripts in Several Variables",
journal = j-FIB-QUART,
volume = "13",
number = "4",
pages = "289--294",
month = dec,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:03 MDT 2011",
bibsource = "http://www.fq.math.ca/13-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-4/stone.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Singmaster:1975:RBC,
author = "David Singmaster",
title = "Repeated Binomial Coefficients and {Fibonacci}
Numbers",
journal = j-FIB-QUART,
volume = "13",
number = "4",
pages = "295--298",
month = dec,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:03 MDT 2011",
bibsource = "http://www.fq.math.ca/13-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-4/singmaster.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brown:1975:RMC,
author = "J. L. {Brown, Jr.}",
title = "A Recursive Method for Counting Integers not
Representable in Certain Expansions",
journal = j-FIB-QUART,
volume = "13",
number = "4",
pages = "299--302",
month = dec,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:03 MDT 2011",
bibsource = "http://www.fq.math.ca/13-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-4/brown.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1975:NWS,
author = "L. Carlitz and Richard Scoville",
title = "A Note on Weighted Sequences",
journal = j-FIB-QUART,
volume = "13",
number = "4",
pages = "303--306",
month = dec,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:03 MDT 2011",
bibsource = "http://www.fq.math.ca/13-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-4/carlitz.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ryavec:1975:AST,
author = "C. Ryavec",
title = "An Application of Spectral Theory to {Fibonacci}
Numbers",
journal = j-FIB-QUART,
volume = "13",
number = "4",
pages = "307--308",
month = dec,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:03 MDT 2011",
bibsource = "http://www.fq.math.ca/13-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-4/ryavec.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wulczyn:1975:MSX,
author = "Gregory Wulczyn",
title = "Minimum Solutions to {$ x^2 - D y^2 = \pm 1 $}",
journal = j-FIB-QUART,
volume = "13",
number = "4",
pages = "309--311",
month = dec,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:03 MDT 2011",
bibsource = "http://www.fq.math.ca/13-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-4/wulczyn.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Georgieva:1975:DZO,
author = "N. Georgieva",
title = "Distribution of the Zeroes of One Class of
Polynomials",
journal = j-FIB-QUART,
volume = "13",
number = "4",
pages = "312--314",
month = dec,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:03 MDT 2011",
bibsource = "http://www.fq.math.ca/13-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-4/georgieva.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Recski:1975:GFN,
author = "Andras Recski",
title = "On the Generalization of the {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "13",
number = "4",
pages = "315--317",
month = dec,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:03 MDT 2011",
bibsource = "http://www.fq.math.ca/13-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-4/recski.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Taylor:1975:GLQ,
author = "Larry Taylor",
title = "The General Law of Quadratic Reciprocity",
journal = j-FIB-QUART,
volume = "13",
number = "4",
pages = "318--??",
month = dec,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:03 MDT 2011",
bibsource = "http://www.fq.math.ca/13-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-4/taylor-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Shanks:1975:NHN,
author = "Daniel Shanks",
title = "Non-Hypotenuse Numbers",
journal = j-FIB-QUART,
volume = "13",
number = "4",
pages = "319--321",
month = dec,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:03 MDT 2011",
bibsource = "http://www.fq.math.ca/13-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-4/shanks.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Somer:1975:FRM,
author = "Lawrence Somer",
title = "The {Fibonacci} Ratios {$ F_{k + 1} / F_k $} Modulo
$p$",
journal = j-FIB-QUART,
volume = "13",
number = "4",
pages = "322--324",
month = dec,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:03 MDT 2011",
bibsource = "http://www.fq.math.ca/13-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-4/somer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Tanny:1975:ASI,
author = "S. M. Tanny",
title = "On Alternating Subsets of Integers",
journal = j-FIB-QUART,
volume = "13",
number = "4",
pages = "325--328",
month = dec,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:03 MDT 2011",
bibsource = "http://www.fq.math.ca/13-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-4/tanny.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Sun:1975:SRR,
author = "Hugo S. Sun",
title = "Structure of the Reduced Residue System with Composite
Modulus",
journal = j-FIB-QUART,
volume = "13",
number = "4",
pages = "329--330",
month = dec,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:03 MDT 2011",
bibsource = "http://www.fq.math.ca/13-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-4/sun.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hunsucker:1975:IP,
author = "J. L. Hunsucker and Carl Pomerance",
title = "On an Interesting Property of 11234955056179752809",
journal = j-FIB-QUART,
volume = "13",
number = "4",
pages = "331--333",
month = dec,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:03 MDT 2011",
bibsource = "http://www.fq.math.ca/13-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-4/hunsucker.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Webb:1975:DFD,
author = "William Webb",
title = "Distribution of the First Digits of {Fibonacci}
Numbers",
journal = j-FIB-QUART,
volume = "13",
number = "4",
pages = "334--336",
month = dec,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:03 MDT 2011",
bibsource = "http://www.fq.math.ca/13-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-4/webb.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
keywords = "Benford's Law",
}
@Article{Alder:1975:GER,
author = "Henry L. Alder and Amin A. Muwafi",
title = "Generalizations of {Euler}'s Recurrence Formula for
Partitions",
journal = j-FIB-QUART,
volume = "13",
number = "4",
pages = "337--339",
month = dec,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:03 MDT 2011",
bibsource = "http://www.fq.math.ca/13-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-4/alder.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Finkelstein:1975:LNW,
author = "Raphael Finkelstein",
title = "On {Lucas} Numbers which are One More than a Square",
journal = j-FIB-QUART,
volume = "13",
number = "4",
pages = "340--342",
month = dec,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:03 MDT 2011",
bibsource = "http://www.fq.math.ca/13-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-4/finkelstein.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Berzsenyi:1975:SPG,
author = "George Berzsenyi",
title = "Sums of Products of Generalized {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "13",
number = "4",
pages = "343--344",
month = dec,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:03 MDT 2011",
bibsource = "http://www.fq.math.ca/13-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-4/berzsenyi.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bicknell:1975:PPS,
author = "Marjorie Bicknell",
title = "A Primer on the {Pell} Sequence and Related
Sequences",
journal = j-FIB-QUART,
volume = "13",
number = "4",
pages = "345--349",
month = dec,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:03 MDT 2011",
bibsource = "http://www.fq.math.ca/13-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-4/bicknell.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1975:PC,
author = "V. E. {Hoggatt, Jr.} and Marjorie Bicknell",
title = "Palindromic Compositions",
journal = j-FIB-QUART,
volume = "13",
number = "4",
pages = "350--355",
month = dec,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:03 MDT 2011",
bibsource = "http://www.fq.math.ca/13-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-4/hoggatt1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Mitchell:1975:NTF,
author = "A. R. Mitchell and R. W. Mitchell",
title = "A Note on Topologies on Finite Sets",
journal = j-FIB-QUART,
volume = "13",
number = "4",
pages = "356--??",
month = dec,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:03 MDT 2011",
bibsource = "http://www.fq.math.ca/13-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-4/mitchell-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1975:CT,
author = "V. E. {Hoggatt, Jr.} and Paul S. Bruckman",
title = "The {$H$}-Convolution Transform",
journal = j-FIB-QUART,
volume = "13",
number = "4",
pages = "357--368",
month = dec,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:03 MDT 2011",
bibsource = "http://www.fq.math.ca/13-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-4/hoggatt2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1975:APSd,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "13",
number = "4",
pages = "369--372",
month = dec,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:03 MDT 2011",
bibsource = "http://www.fq.math.ca/13-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-4/advanced13-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1975:EPSd,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "13",
number = "4",
pages = "373--377",
month = dec,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:03 MDT 2011",
bibsource = "http://www.fq.math.ca/13-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-4/elementary13-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1975:VI,
author = "Anonymous",
title = "Volume Index",
journal = j-FIB-QUART,
volume = "13",
number = "4",
pages = "378--??",
month = dec,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:03 MDT 2011",
bibsource = "http://www.fq.math.ca/13-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-4/index.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Nash:1976:SOF,
author = "Humphrey Nash",
title = "Some Operational Formulas",
journal = j-FIB-QUART,
volume = "14",
number = "1",
pages = "1--8",
month = feb,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:05 MDT 2011",
bibsource = "http://www.fq.math.ca/14-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-1/nash.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Monteiro:1976:MMF,
author = "P. Monteiro and R. W. Newcomb",
title = "Minimal and Maximal {Fibonacci} Representations:
{Boolean} Generation",
journal = j-FIB-QUART,
volume = "14",
number = "1",
pages = "9--11",
month = feb,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:05 MDT 2011",
bibsource = "http://www.fq.math.ca/14-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-1/monteiro.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1976:LEa,
author = "Anonymous",
title = "Letter to the Editor",
journal = j-FIB-QUART,
volume = "14",
number = "1",
pages = "12--??",
month = feb,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:05 MDT 2011",
bibsource = "http://www.fq.math.ca/14-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-1/letter1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Davis:1976:SRI,
author = "Basil Davis",
title = "Some Remarks on Initial Digits",
journal = j-FIB-QUART,
volume = "14",
number = "1",
pages = "13--14",
month = feb,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:05 MDT 2011",
bibsource = "http://www.fq.math.ca/14-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-1/davis.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Stern:1976:IBN,
author = "Samuel T. Stern",
title = "On Isomorphisms Between the Naturals and Integers",
journal = j-FIB-QUART,
volume = "14",
number = "1",
pages = "15--16",
month = feb,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:05 MDT 2011",
bibsource = "http://www.fq.math.ca/14-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-1/stern.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bankoff:1976:FC,
author = "Leon Bankoff",
title = "A {Fibonacci} Curiosity",
journal = j-FIB-QUART,
volume = "14",
number = "1",
pages = "17--??",
month = feb,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:05 MDT 2011",
bibsource = "http://www.fq.math.ca/14-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-1/bankoff1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wulczyn:1976:CFE,
author = "Gregory Wulczyn",
title = "On Continued Fraction Expansions Whose Elements are
All Ones",
journal = j-FIB-QUART,
volume = "14",
number = "1",
pages = "18--22",
month = feb,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:05 MDT 2011",
bibsource = "http://www.fq.math.ca/14-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-1/wulczyn.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Monzingo:1976:CMP,
author = "M. G. Monzingo",
title = "On Congruences Modulo a Power of a Prime",
journal = j-FIB-QUART,
volume = "14",
number = "1",
pages = "23--??",
month = feb,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:05 MDT 2011",
bibsource = "http://www.fq.math.ca/14-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-1/monzingo.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cross:1976:MGF,
author = "Donald Cross",
title = "A More General {Fibonacci} Multigrade",
journal = j-FIB-QUART,
volume = "14",
number = "1",
pages = "24--??",
month = feb,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:05 MDT 2011",
bibsource = "http://www.fq.math.ca/14-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-1/cross-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Zukerman:1976:FRE,
author = "L. G. Zukerman",
title = "{Fibonacci} Ratio in Electric Wave Filters",
journal = j-FIB-QUART,
volume = "14",
number = "1",
pages = "25--26",
month = feb,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:05 MDT 2011",
bibsource = "http://www.fq.math.ca/14-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-1/zukerman.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Willett:1976:TK,
author = "Michael Willett",
title = "On a Theorem of {Kronecker}",
journal = j-FIB-QUART,
volume = "14",
number = "1",
pages = "27--28",
month = feb,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:05 MDT 2011",
bibsource = "http://www.fq.math.ca/14-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-1/willett.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bankoff:1976:FP,
author = "Leon Bankoff",
title = "A {Fibonacci} Pleasantry",
journal = j-FIB-QUART,
volume = "14",
number = "1",
pages = "29--??",
month = feb,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:05 MDT 2011",
bibsource = "http://www.fq.math.ca/14-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-1/bankoff2-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Priest:1976:CGC,
author = "Dean B. Priest and Stephen W. Smith",
title = "Column Generators for Coefficients of {Fibonacci} and
{Fibonacci}-Related Polynomials",
journal = j-FIB-QUART,
volume = "14",
number = "1",
pages = "30--34",
month = feb,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:05 MDT 2011",
bibsource = "http://www.fq.math.ca/14-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-1/priest.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cullen:1976:SI,
author = "Theodore J. Cullen",
title = "A Summation Identity",
journal = j-FIB-QUART,
volume = "14",
number = "1",
pages = "35--36",
month = feb,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:05 MDT 2011",
bibsource = "http://www.fq.math.ca/14-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-1/cullen.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lewis:1976:FSM,
author = "T. G. Lewis and B. J. Smith and M. Z. Smith",
title = "{Fibonacci} Sequences and Memory Management",
journal = j-FIB-QUART,
volume = "14",
number = "1",
pages = "37--41",
month = feb,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:05 MDT 2011",
bibsource = "http://www.fq.math.ca/14-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-1/lewis.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Mohanty:1976:IPL,
author = "N. C. Mohanty",
title = "Interesting Properties of {Laguerre} Polynomials",
journal = j-FIB-QUART,
volume = "14",
number = "1",
pages = "42--??",
month = feb,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:05 MDT 2011",
bibsource = "http://www.fq.math.ca/14-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-1/mohanty.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bergum:1976:NPC,
author = "G. E. Bergum and V. E. {Hoggatt, Jr.}",
title = "Numerator Polynomial Coefficient Array for the
Convolved {Fibonacci} Sequence",
journal = j-FIB-QUART,
volume = "14",
number = "1",
pages = "43--47",
month = feb,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:05 MDT 2011",
bibsource = "http://www.fq.math.ca/14-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-1/bergum.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1976:LEb,
author = "Anonymous",
title = "Letter to the Editor",
journal = j-FIB-QUART,
volume = "14",
number = "1",
pages = "48--??",
month = feb,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:05 MDT 2011",
bibsource = "http://www.fq.math.ca/14-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-1/letter2-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hanani:1976:CI,
author = "Haim Hanani",
title = "A Combinatorial Identity",
journal = j-FIB-QUART,
volume = "14",
number = "1",
pages = "49--51",
month = feb,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:05 MDT 2011",
bibsource = "http://www.fq.math.ca/14-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-1/hanani.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Stanley:1976:SRP,
author = "T. E. Stanley",
title = "Some Remarks on the Periodicity of the Sequence of
{Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "14",
number = "1",
pages = "52--53",
month = feb,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:05 MDT 2011",
bibsource = "http://www.fq.math.ca/14-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-1/stanley.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kung:1976:PTP,
author = "S. H. L. Kung",
title = "Parity Triangles of {Pascal}'s Triangle",
journal = j-FIB-QUART,
volume = "14",
number = "1",
pages = "54--??",
month = feb,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:05 MDT 2011",
bibsource = "http://www.fq.math.ca/14-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-1/kung.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1976:ST,
author = "L. Carlitz",
title = "The {Saalsch{\"u}tzian} Theorems",
journal = j-FIB-QUART,
volume = "14",
number = "1",
pages = "55--63",
month = feb,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:05 MDT 2011",
bibsource = "http://www.fq.math.ca/14-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-1/carlitz.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Stringall:1976:DRB,
author = "Robert W. Stringall",
title = "A Density Relationship Between $ a x + b $ and $ [x /
c] $",
journal = j-FIB-QUART,
volume = "14",
number = "1",
pages = "64--66",
month = feb,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:05 MDT 2011",
bibsource = "http://www.fq.math.ca/14-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-1/stringall.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Enneking:1976:GBN,
author = "E. A. Enneking and J. C. Ahuja",
title = "Generalized {Bell} Numbers",
journal = j-FIB-QUART,
volume = "14",
number = "1",
pages = "67--73",
month = feb,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:05 MDT 2011",
bibsource = "http://www.fq.math.ca/14-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-1/enneking.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Puttaswamy:1976:NTW,
author = "T. K. Puttaswamy",
title = "A Note on a Theorem of {W. B. Ford}",
journal = j-FIB-QUART,
volume = "14",
number = "1",
pages = "74--??",
month = feb,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:05 MDT 2011",
bibsource = "http://www.fq.math.ca/14-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-1/puttaswamy.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Weiss:1976:MEC,
author = "George H. Weiss and Menachem Dishon",
title = "A Method for the Evaluation of Certain Sums Involving
Binomial Coefficients",
journal = j-FIB-QUART,
volume = "14",
number = "1",
pages = "75--77",
month = feb,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:05 MDT 2011",
bibsource = "http://www.fq.math.ca/14-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-1/weiss.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Babb:1976:OST,
author = "Robert Gordon {Babb II}",
title = "On the Order of Systems of Two Simultaneous Linear
Difference Equations in Two Variables",
journal = j-FIB-QUART,
volume = "14",
number = "1",
pages = "78--82",
month = feb,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:05 MDT 2011",
bibsource = "http://www.fq.math.ca/14-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-1/babb.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Walton:1976:LPC,
author = "J. E. Walton",
title = "{Lucas} Polynomials and Certain Circular Functions of
Matrices",
journal = j-FIB-QUART,
volume = "14",
number = "1",
pages = "83--87",
month = feb,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:05 MDT 2011",
bibsource = "http://www.fq.math.ca/14-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-1/walton.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1976:APSa,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "14",
number = "1",
pages = "88--92",
month = feb,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:05 MDT 2011",
bibsource = "http://www.fq.math.ca/14-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-1/advanced14-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1976:EPSa,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "14",
number = "1",
pages = "93--96",
month = feb,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:05 MDT 2011",
bibsource = "http://www.fq.math.ca/14-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-1/elementary14-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Majumder:1976:VNR,
author = "Partha Pratim Majumder and Aravinda Chakravati",
title = "Variation in the Number of Ray- and Disc-Florets in
Four Species of Compositae",
journal = j-FIB-QUART,
volume = "14",
number = "2",
pages = "97--100",
month = apr,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:07 MDT 2011",
bibsource = "http://www.fq.math.ca/14-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-2/majumder.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Tauber:1976:CNC,
author = "S. Tauber",
title = "Combinatorial Numbers in {$ C^n $}",
journal = j-FIB-QUART,
volume = "14",
number = "2",
pages = "101--110",
month = apr,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:07 MDT 2011",
bibsource = "http://www.fq.math.ca/14-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-2/tauber.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Walker:1976:CIP,
author = "David T. Walker",
title = "Consecutive Integer Pairs of Powerful Numbers and
Related {Diophantine} Equations",
journal = j-FIB-QUART,
volume = "14",
number = "2",
pages = "111--116",
month = apr,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:07 MDT 2011",
bibsource = "http://www.fq.math.ca/14-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-2/walker.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1976:SPS,
author = "V. E. {Hoggatt, Jr.} and G. L. Alexanderson",
title = "Sums of Partition Sets in Generalized {Pascal}
Triangles {I}",
journal = j-FIB-QUART,
volume = "14",
number = "2",
pages = "117--125",
month = apr,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:07 MDT 2011",
bibsource = "http://www.fq.math.ca/14-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-2/hoggatt1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Norden:1976:PNC,
author = "Hugo Norden",
title = "{Per N{\o}rg{\aa}rd's ``Canon''}",
journal = j-FIB-QUART,
volume = "14",
number = "2",
pages = "126--128",
month = apr,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:07 MDT 2011",
bibsource = "http://www.fq.math.ca/14-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-2/norden.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Greig:1976:BRF,
author = "W. Elliott Greig",
title = "{Bode}'s Rule and Folded Sequences",
journal = j-FIB-QUART,
volume = "14",
number = "2",
pages = "129--133",
month = apr,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:07 MDT 2011",
bibsource = "http://www.fq.math.ca/14-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-2/greig.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Jones:1976:DRL,
author = "James P. Jones",
title = "{Diophantine} Representation of the {Lucas} Numbers",
journal = j-FIB-QUART,
volume = "14",
number = "2",
pages = "134--??",
month = apr,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:07 MDT 2011",
bibsource = "http://www.fq.math.ca/14-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-2/jones.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1976:PCG,
author = "V. E. {Hoggatt, Jr.} and Marjorie Bicknell",
title = "{Pascal}, {Catalan}, and General Sequence Convolution
Arrays in a Matrix",
journal = j-FIB-QUART,
volume = "14",
number = "2",
pages = "135--142",
month = apr,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:07 MDT 2011",
bibsource = "http://www.fq.math.ca/14-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-2/hoggatt2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gould:1976:LE,
author = "H. W. Gould",
title = "Letter to the Editor",
journal = j-FIB-QUART,
volume = "14",
number = "2",
pages = "143--??",
month = apr,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:07 MDT 2011",
bibsource = "http://www.fq.math.ca/14-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-2/letter-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1976:WS,
author = "V. E. {Hoggatt, Jr.} and Krishnaswami Alladi",
title = "In-Winding Spirals",
journal = j-FIB-QUART,
volume = "14",
number = "2",
pages = "144--146",
month = apr,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:07 MDT 2011",
bibsource = "http://www.fq.math.ca/14-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-2/hoggatt3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Alonso:1976:ASH,
author = "James Alonso",
title = "Arithmetic Sequences of Higher Order",
journal = j-FIB-QUART,
volume = "14",
number = "2",
pages = "147--152",
month = apr,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:07 MDT 2011",
bibsource = "http://www.fq.math.ca/14-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-2/alonso.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Solomon:1976:DPC,
author = "Ronald Solomon",
title = "Divisibility Properties of Certain Recurring
Sequences",
journal = j-FIB-QUART,
volume = "14",
number = "2",
pages = "153--158",
month = apr,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:07 MDT 2011",
bibsource = "http://www.fq.math.ca/14-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-2/solomon.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brousseau:1976:RRP,
author = "Brother Alfred Brousseau",
title = "Recursion Relations of Products of Linear Recursion
Sequences",
journal = j-FIB-QUART,
volume = "14",
number = "2",
pages = "159--166",
month = apr,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:07 MDT 2011",
bibsource = "http://www.fq.math.ca/14-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-2/brousseau.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Arkin:1976:TMS,
author = "Joseph Arkin and Paul Smith",
title = "Trebly-Magic Systems in a {Latin} $3$-Cube of Order
Eight",
journal = j-FIB-QUART,
volume = "14",
number = "2",
pages = "167--170",
month = apr,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:07 MDT 2011",
bibsource = "http://www.fq.math.ca/14-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-2/arkin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Consul:1976:SFD,
author = "P. C. Consul",
title = "Some Factorable Determinants",
journal = j-FIB-QUART,
volume = "14",
number = "2",
pages = "171--172",
month = apr,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:07 MDT 2011",
bibsource = "http://www.fq.math.ca/14-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-2/consul.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hosoya:1976:FT,
author = "Haruo Hosoya",
title = "{Fibonacci} Triangle",
journal = j-FIB-QUART,
volume = "14",
number = "2",
pages = "173--179",
month = apr,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:07 MDT 2011",
bibsource = "http://www.fq.math.ca/14-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-2/hosoya.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Taylor:1976:CRQ,
author = "Larry Taylor",
title = "A Conjecture Relating Quartic Reciprocity and Quartic
Residuacity to Primitive {Pythagorean} Triples",
journal = j-FIB-QUART,
volume = "14",
number = "2",
pages = "180--181",
month = apr,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:07 MDT 2011",
bibsource = "http://www.fq.math.ca/14-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-2/taylor.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1976:APSb,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "14",
number = "2",
pages = "182--187",
month = apr,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:07 MDT 2011",
bibsource = "http://www.fq.math.ca/14-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-2/advanced14-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1976:EPSb,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "14",
number = "2",
pages = "188--192",
month = apr,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:07 MDT 2011",
bibsource = "http://www.fq.math.ca/14-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-2/elementary14-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bruckman:1976:GSD,
author = "P. S. Bruckman and I. J. Good",
title = "A Generalization of a Series of {DeMorgan} with
Applications of {Fibonacci} Type",
journal = j-FIB-QUART,
volume = "14",
number = "3",
pages = "193--195",
month = oct,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:09 MDT 2011",
bibsource = "http://www.fq.math.ca/14-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-3/bruckman.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rieger:1976:HME,
author = "G. J. Rieger",
title = "On the {Harris} Modification of the {Euclidean}
Algorithm",
journal = j-FIB-QUART,
volume = "14",
number = "3",
pages = "196--196",
month = oct,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:09 MDT 2011",
bibsource = "http://www.fq.math.ca/14-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-3/rieger-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Beverage:1976:PS,
author = "David G. Beverage",
title = "Polynomials {$ P_{2 n + 1}(x) $} Satisfying {$ P_{2 n
+ 1}(F_k) = F_{(2 n + 1)k} $}",
journal = j-FIB-QUART,
volume = "14",
number = "3",
pages = "197--200",
month = oct,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:09 MDT 2011",
bibsource = "http://www.fq.math.ca/14-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-3/beverage.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Shapiro:1976:FNU,
author = "Louis Shapiro",
title = "{Fibonacci} Numbers and Upper Triangular Groups",
journal = j-FIB-QUART,
volume = "14",
number = "3",
pages = "201--202",
month = oct,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:09 MDT 2011",
bibsource = "http://www.fq.math.ca/14-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-3/shapiro.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hilliker:1976:IMEa,
author = "David Lee Hilliker",
title = "On the Infinite Multinomial Expansion",
journal = j-FIB-QUART,
volume = "14",
number = "3",
pages = "203--205",
month = oct,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:09 MDT 2011",
bibsource = "http://www.fq.math.ca/14-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-3/hilliker.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Killgrove:1976:STP,
author = "R. B. Killgrove",
title = "The Sum of Two Powers is a Third, Sometimes",
journal = j-FIB-QUART,
volume = "14",
number = "3",
pages = "206--209",
month = oct,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:09 MDT 2011",
bibsource = "http://www.fq.math.ca/14-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-3/killgrove.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Robinson:1976:RPL,
author = "Donald W. Robinson",
title = "The Rank and Period of a Linear Recurrent Sequence
Over a Ring",
journal = j-FIB-QUART,
volume = "14",
number = "3",
pages = "210--213",
month = oct,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:09 MDT 2011",
bibsource = "http://www.fq.math.ca/14-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-3/robinson.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kuipers:1976:LE,
author = "L. Kuipers",
title = "Letter to the Editor",
journal = j-FIB-QUART,
volume = "14",
number = "3",
pages = "214--??",
month = oct,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:09 MDT 2011",
bibsource = "http://www.fq.math.ca/14-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-3/letter-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Sayer:1976:SCS,
author = "F. P. Sayer",
title = "The Sums of Certain Series Containing Hyperbolic
Functions",
journal = j-FIB-QUART,
volume = "14",
number = "3",
pages = "215--223",
month = oct,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:09 MDT 2011",
bibsource = "http://www.fq.math.ca/14-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-3/sayer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1976:SMI,
author = "V. E. {Hoggatt, Jr.} and Marjorie Bicknell",
title = "Sequences of Matrix Inverses from {Pascal}, {Catalan},
and Related Convolution Arrays",
journal = j-FIB-QUART,
volume = "14",
number = "3",
pages = "224--232",
month = oct,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:09 MDT 2011",
bibsource = "http://www.fq.math.ca/14-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-3/hoggatt1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ferguson:1976:GFN,
author = "Helaman Rolfe Pratt Ferguson",
title = "On a Generalization of the {Fibonacci} Numbers Useful
in Memory Allocation Schema; or All About the Zeroes of
{$ Z^k - Z^{k - 1} - 1, k > 0 $}",
journal = j-FIB-QUART,
volume = "14",
number = "3",
pages = "233--243",
month = oct,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:09 MDT 2011",
bibsource = "http://www.fq.math.ca/14-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-3/ferguson.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Vaughan:1976:NSA,
author = "Theresa P. Vaughan",
title = "A Note on Some Arithmetic Functions Connected with the
{Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "14",
number = "3",
pages = "244--248",
month = oct,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:09 MDT 2011",
bibsource = "http://www.fq.math.ca/14-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-3/vaughan.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1976:SBS,
author = "L. Carlitz",
title = "Some Binomial Sums",
journal = j-FIB-QUART,
volume = "14",
number = "3",
pages = "249--253",
month = oct,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:09 MDT 2011",
bibsource = "http://www.fq.math.ca/14-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-3/carlitz1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1976:RC,
author = "L. Carlitz",
title = "Restricted Compositions",
journal = j-FIB-QUART,
volume = "14",
number = "3",
pages = "254--264",
month = oct,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:09 MDT 2011",
bibsource = "http://www.fq.math.ca/14-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-3/carlitz2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Tepper:1976:SCP,
author = "Myron Tepper",
title = "Sums of Combination Products",
journal = j-FIB-QUART,
volume = "14",
number = "3",
pages = "265--271",
month = oct,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:09 MDT 2011",
bibsource = "http://www.fq.math.ca/14-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-3/tepper.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1976:PFN,
author = "V. E. {Hoggatt, Jr.} and Marjorie Bicknell",
title = "A Primer for the {Fibonacci} Numbers, {Part XV}:
{Variations} on Summing a Series of Reciprocals of
{Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "14",
number = "3",
pages = "272--276",
month = oct,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:09 MDT 2011",
bibsource = "http://www.fq.math.ca/14-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-3/hoggatt2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Klarner:1976:MPG,
author = "David A. Klarner",
title = "A Model for Population Growth",
journal = j-FIB-QUART,
volume = "14",
number = "3",
pages = "277--281",
month = oct,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:09 MDT 2011",
bibsource = "http://www.fq.math.ca/14-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-3/klarner.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1976:APSc,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "14",
number = "3",
pages = "282--285",
month = oct,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:09 MDT 2011",
bibsource = "http://www.fq.math.ca/14-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-3/advanced14-3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1976:EPSc,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "14",
number = "3",
pages = "286--288",
month = oct,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:09 MDT 2011",
bibsource = "http://www.fq.math.ca/14-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-3/elementary14-3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Silber:1976:AFR,
author = "Robert Silber and Ralph Gellar",
title = "The Algebra of {Fibonacci} Representations",
journal = j-FIB-QUART,
volume = "14",
number = "4",
pages = "289--326",
month = nov,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:11 MDT 2011",
bibsource = "http://www.fq.math.ca/14-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-4/silber1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1976:SP,
author = "L. Carlitz",
title = "Set Partitions",
journal = j-FIB-QUART,
volume = "14",
number = "4",
pages = "327--342",
month = nov,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:11 MDT 2011",
bibsource = "http://www.fq.math.ca/14-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-4/carlitz.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Smith:1976:PPG,
author = "Claudia Smith and Verner E. {Hoggatt, Jr.}",
title = "Primitive Periods of Generalized {Fibonacci}
Sequences",
journal = j-FIB-QUART,
volume = "14",
number = "4",
pages = "343--347",
month = nov,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:11 MDT 2011",
bibsource = "http://www.fq.math.ca/14-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-4/smith.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Erdos:1976:PFB,
author = "P. Erd{\H{o}}s and R. L. Graham",
title = "On the Prime Factors of \binom(n,k)",
journal = j-FIB-QUART,
volume = "14",
number = "4",
pages = "348--352",
month = nov,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:11 MDT 2011",
bibsource = "http://www.fq.math.ca/14-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-4/erdos.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{McQuistan:1976:MNN,
author = "R. B. McQuistan",
title = "Mixed Nearest Neighbor Degeneracy for Particles on a
One-Dimensional Lattice Space",
journal = j-FIB-QUART,
volume = "14",
number = "4",
pages = "353--357",
month = nov,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:11 MDT 2011",
bibsource = "http://www.fq.math.ca/14-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-4/mcquistan.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bernstein:1976:FFN,
author = "Leon Bernstein",
title = "A Formula for {Fibonacci} Numbers From a New Approach
to Generalized {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "14",
number = "4",
pages = "358--367",
month = nov,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:11 MDT 2011",
bibsource = "http://www.fq.math.ca/14-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-4/bernstein.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1976:LEc,
author = "Anonymous",
title = "Letter to the Editor",
journal = j-FIB-QUART,
volume = "14",
number = "4",
pages = "368--??",
month = nov,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:11 MDT 2011",
bibsource = "http://www.fq.math.ca/14-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-4/letter.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kimberling:1976:DPR,
author = "Clark Kimberling",
title = "Divisibility Properties of Recurrent Sequences",
journal = j-FIB-QUART,
volume = "14",
number = "4",
pages = "369--376",
month = nov,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:11 MDT 2011",
bibsource = "http://www.fq.math.ca/14-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-4/kimberling.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Fischer:1976:FSE,
author = "Kurt Fischer",
title = "The {Fibonacci} Sequence Encountered in Nerve
Physiology",
journal = j-FIB-QUART,
volume = "14",
number = "4",
pages = "377--379",
month = nov,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:11 MDT 2011",
bibsource = "http://www.fq.math.ca/14-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-4/fischer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Silber:1976:FPW,
author = "Robert Silber",
title = "A {Fibonacci} Property of {Wythoff} Pairs",
journal = j-FIB-QUART,
volume = "14",
number = "4",
pages = "380--384",
month = nov,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:11 MDT 2011",
bibsource = "http://www.fq.math.ca/14-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-4/silber2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Glasser:1976:SIT,
author = "M. L. Glasser and M. S. Klamkin",
title = "On Some Inverse Tangent Summations",
journal = j-FIB-QUART,
volume = "14",
number = "5",
pages = "385--387",
month = dec,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:13 MDT 2011",
bibsource = "http://www.fq.math.ca/14-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-5/glasser.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Monzingo:1976:NGE,
author = "M. C. Monzingo",
title = "A Note on the Golden Ellipse",
journal = j-FIB-QUART,
volume = "14",
number = "5",
pages = "388--??",
month = dec,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:13 MDT 2011",
bibsource = "http://www.fq.math.ca/14-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-5/monzingo1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gupta:1976:DMO,
author = "Hansraj Gupta",
title = "A Direct Method of Obtaining {Farey--Fibonacci}
Sequences",
journal = j-FIB-QUART,
volume = "14",
number = "5",
pages = "389--390",
month = dec,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:13 MDT 2011",
bibsource = "http://www.fq.math.ca/14-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-5/gupta.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Monzingo:1976:CPR,
author = "M. G. Monzingo",
title = "On Consecutive Primitive Roots",
journal = j-FIB-QUART,
volume = "14",
number = "5",
pages = "391--??",
month = dec,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:13 MDT 2011",
bibsource = "http://www.fq.math.ca/14-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-5/monzingo2-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hilliker:1976:IMEb,
author = "David Lee Hilliker",
title = "On the Infinite Multinomial Expansion, {II}",
journal = j-FIB-QUART,
volume = "14",
number = "5",
pages = "392--394",
month = dec,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:13 MDT 2011",
bibsource = "http://www.fq.math.ca/14-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-5/hilliker.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1976:CRS,
author = "V. E. {Hoggatt, Jr.} and Marjorie Bicknell",
title = "{Catalan} and Related Sequences Arising from Inverses
of {Pascal}'s Triangle Matrices",
journal = j-FIB-QUART,
volume = "14",
number = "5",
pages = "395--404",
month = dec,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:13 MDT 2011",
bibsource = "http://www.fq.math.ca/14-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-5/hoggatt1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Davis:1976:EBF,
author = "Bro. Basil Davis and V. E. {Hoggatt, Jr.}",
title = "Exponentials and {Bessel} Functions",
journal = j-FIB-QUART,
volume = "14",
number = "5",
pages = "405, 418, 426",
month = dec,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:13 MDT 2011",
bibsource = "http://www.fq.math.ca/14-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-5/davis-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hedian:1976:GSA,
author = "Helene Hedian",
title = "The Golden Section and the Artist",
journal = j-FIB-QUART,
volume = "14",
number = "5",
pages = "406--418",
month = dec,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:13 MDT 2011",
bibsource = "http://www.fq.math.ca/14-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-5/hedian.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ercolano:1976:GSM,
author = "Joseph Ercolano",
title = "Golden Sequences of Matrices with Application to
{Fibonacci} Algebra",
journal = j-FIB-QUART,
volume = "14",
number = "5",
pages = "419--426",
month = dec,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:13 MDT 2011",
bibsource = "http://www.fq.math.ca/14-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-5/ercolano.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1976:SSM,
author = "L. Carlitz",
title = "Some Sums of Multinomial Coefficients",
journal = j-FIB-QUART,
volume = "14",
number = "5",
pages = "427--438",
month = dec,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:13 MDT 2011",
bibsource = "http://www.fq.math.ca/14-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-5/carlitz.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Abramson:1976:RCC,
author = "Morton Abramson",
title = "Restricted Combinations and Compositions",
journal = j-FIB-QUART,
volume = "14",
number = "5",
pages = "439--451",
month = dec,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:13 MDT 2011",
bibsource = "http://www.fq.math.ca/14-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-5/abramson.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Jones:1976:OPT,
author = "Bob Jones",
title = "Ode to {Pascal}'s Triangle",
journal = j-FIB-QUART,
volume = "14",
number = "5",
pages = "452--??",
month = dec,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:13 MDT 2011",
bibsource = "http://www.fq.math.ca/14-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-5/jones.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1976:RSF,
author = "V. E. {Hoggatt, Jr.} and Marjorie Bicknell",
title = "A Reciprocal Series of {Fibonacci} Numbers with
Subscripts $ 2^n k $",
journal = j-FIB-QUART,
volume = "14",
number = "5",
pages = "453--454",
month = dec,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:13 MDT 2011",
bibsource = "http://www.fq.math.ca/14-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-5/hoggatt2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1976:R,
author = "Verner E. {Hoggatt, Jr.}",
title = "Response",
journal = j-FIB-QUART,
volume = "14",
number = "5",
pages = "455--??",
month = dec,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:13 MDT 2011",
bibsource = "http://www.fq.math.ca/14-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-5/hoggatt3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{DeLeon:1976:PEP,
author = "M. J. DeLeon",
title = "{Pell}'s Equation and {Pell} Number Triples",
journal = j-FIB-QUART,
volume = "14",
number = "5",
pages = "456--460",
month = dec,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:13 MDT 2011",
bibsource = "http://www.fq.math.ca/14-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-5/deleon.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Alladi:1976:PGT,
author = "Krishnaswami Alladi",
title = "On Polynomials Generated by Triangular Arrays",
journal = j-FIB-QUART,
volume = "14",
number = "5",
pages = "461--465",
month = dec,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:13 MDT 2011",
bibsource = "http://www.fq.math.ca/14-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-5/alladi.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1976:APSd,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "14",
number = "5",
pages = "466--469",
month = dec,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:13 MDT 2011",
bibsource = "http://www.fq.math.ca/14-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-5/advanced14-5-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1976:EPSd,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "14",
number = "5",
pages = "470--473",
month = dec,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:13 MDT 2011",
bibsource = "http://www.fq.math.ca/14-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-5/elementary14-5.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1976:VI,
author = "Anonymous",
title = "Volume Index",
journal = j-FIB-QUART,
volume = "14",
number = "5",
pages = "474--??",
month = dec,
year = "1976",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:13 MDT 2011",
bibsource = "http://www.fq.math.ca/14-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/14-5/index.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Yalavigi:1977:RGF,
author = "C. C. Yalavigi",
title = "Residues of Generalized {Fibonacci} Sequences",
journal = j-FIB-QUART,
volume = "15",
number = "1",
pages = "1--??",
month = feb,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:15 MDT 2011",
bibsource = "http://www.fq.math.ca/15-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-1/yalavigi.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1977:CPA,
author = "V. E. {Hoggatt, Jr.} and Marjorie Bicknell-Johnson",
title = "Composites and Primes Among Powers of {Fibonacci}
Numbers, Increased or Decreased by One",
journal = j-FIB-QUART,
volume = "15",
number = "1",
pages = "2--??",
month = feb,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:15 MDT 2011",
bibsource = "http://www.fq.math.ca/15-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-1/hoggatt1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1977:DFL,
author = "V. E. {Hoggatt, Jr.} and Marjorie Bicknell-Johnson",
title = "Divisibility by {Fibonacci} and {Lucas} Squares",
journal = j-FIB-QUART,
volume = "15",
number = "1",
pages = "3--7",
month = feb,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:15 MDT 2011",
bibsource = "http://www.fq.math.ca/15-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-1/hoggatt2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Jameson:1977:LE,
author = "John W. Jameson",
title = "Letter to the Editor",
journal = j-FIB-QUART,
volume = "15",
number = "1",
pages = "8--??",
month = feb,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:15 MDT 2011",
bibsource = "http://www.fq.math.ca/15-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-1/letter-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Spencer:1977:EPK,
author = "J. Spencer",
title = "An Elementary Proof of {Kronecker}'s Theorem",
journal = j-FIB-QUART,
volume = "15",
number = "1",
pages = "9--10",
month = feb,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:15 MDT 2011",
bibsource = "http://www.fq.math.ca/15-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-1/spencer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Slater:1977:FNC,
author = "Peter J. Slater",
title = "{Fibonacci} Numbers in the Count of Spanning Trees",
journal = j-FIB-QUART,
volume = "15",
number = "1",
pages = "11--13",
month = feb,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:15 MDT 2011",
bibsource = "http://www.fq.math.ca/15-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-1/slater.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Utz:1977:DE,
author = "W. R. Utz",
title = "The {Diophantine} Equation $ (x_1 + x_2 + \cdots {} +
x_n)^2 = x^3_1 + x^3_2 + \cdots {} + x^3_n $",
journal = j-FIB-QUART,
volume = "15",
number = "1",
pages = "14--??",
month = feb,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:15 MDT 2011",
bibsource = "http://www.fq.math.ca/15-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-1/utz-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Mignotte:1977:AWS,
author = "Maurice Mignotte",
title = "An Application of {W. Schmidt}'s Theorem
Transcendental Numbers and Golden Number",
journal = j-FIB-QUART,
volume = "15",
number = "1",
pages = "15--16",
month = feb,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:15 MDT 2011",
bibsource = "http://www.fq.math.ca/15-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-1/mignotte.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Greig:1977:RPL,
author = "W. E. Greig",
title = "The Reciprocal Period Law",
journal = j-FIB-QUART,
volume = "15",
number = "1",
pages = "17--20",
month = feb,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:15 MDT 2011",
bibsource = "http://www.fq.math.ca/15-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-1/greig1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitford:1977:BFG,
author = "A. K. Whitford",
title = "{Binet}'s Formula Generalized",
journal = j-FIB-QUART,
volume = "15",
number = "1",
pages = "21--??",
month = feb,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:15 MDT 2011",
bibsource = "http://www.fq.math.ca/15-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-1/whitford-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hilliker:1977:MT,
author = "David Lee Hilliker",
title = "On the Multinomial Theorem",
journal = j-FIB-QUART,
volume = "15",
number = "1",
pages = "22--24",
month = feb,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:15 MDT 2011",
bibsource = "http://www.fq.math.ca/15-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-1/hilliker.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gould:1977:FFL,
author = "H. W. Gould",
title = "A {Fibonacci} Formula of {Lucas} and its Subsequent
Manifestations and Rediscoveries",
journal = j-FIB-QUART,
volume = "15",
number = "1",
pages = "25--29",
month = feb,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:15 MDT 2011",
bibsource = "http://www.fq.math.ca/15-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-1/gould1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1977:NPC,
author = "V. E. {Hoggatt, Jr.} and Marjorie Bicknell-Johnson",
title = "Numerator Polynomial Coefficient Arrays for {Catalan}
and Related Sequence Convolution Triangles",
journal = j-FIB-QUART,
volume = "15",
number = "1",
pages = "30--34",
month = feb,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:15 MDT 2011",
bibsource = "http://www.fq.math.ca/15-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-1/hoggatt3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Somer:1977:FLG,
author = "Lawrence Somer",
title = "{Fibonacci}-Like Groups and Periods of
{Fibonacci}-Like Sequences",
journal = j-FIB-QUART,
volume = "15",
number = "1",
pages = "35--40",
month = feb,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:15 MDT 2011",
bibsource = "http://www.fq.math.ca/15-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-1/somer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Fults:1977:SCR,
author = "Douglas A. Fults",
title = "Solution of a Certain Recurrence Relation",
journal = j-FIB-QUART,
volume = "15",
number = "1",
pages = "41--??",
month = feb,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:15 MDT 2011",
bibsource = "http://www.fq.math.ca/15-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-1/fults-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Alladi:1977:TNR,
author = "Krishnaswami Alladi and V. E. {Hoggatt, Jr.}",
title = "On {Tribonacci} Numbers and Related Functions",
journal = j-FIB-QUART,
volume = "15",
number = "1",
pages = "42--45",
month = feb,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:15 MDT 2011",
bibsource = "http://www.fq.math.ca/15-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-1/alladi.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Greig:1977:SFR,
author = "W. E. Greig",
title = "Sums of {Fibonacci} Reciprocals",
journal = j-FIB-QUART,
volume = "15",
number = "1",
pages = "46--48",
month = feb,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:15 MDT 2011",
bibsource = "http://www.fq.math.ca/15-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-1/greig2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1977:FNZ,
author = "L. Carlitz",
title = "{Fibonacci} Notes --- 5. Zero-One Sequences Again",
journal = j-FIB-QUART,
volume = "15",
number = "1",
pages = "49--56",
month = feb,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:15 MDT 2011",
bibsource = "http://www.fq.math.ca/15-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-1/carlitz1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Silber:1977:CFR,
author = "Robert Silber",
title = "On the {$N$}-Canonical {Fibonacci} Representations of
Order {$N$}",
journal = j-FIB-QUART,
volume = "15",
number = "1",
pages = "57--66",
month = feb,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:15 MDT 2011",
bibsource = "http://www.fq.math.ca/15-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-1/silber1-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gould:1977:RSB,
author = "H. W. Gould",
title = "A Rearrangement of Series Based on a Partition of the
Natural Numbers",
journal = j-FIB-QUART,
volume = "15",
number = "1",
pages = "67--72",
month = feb,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:15 MDT 2011",
bibsource = "http://www.fq.math.ca/15-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-1/gould2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Swamy:1977:FGB,
author = "M. N. S. Swamy",
title = "A Formula for {$ \sum_1^n F_k(x) y^{n - k} $} and its
Generalization to $r$-bonacci Polynomials",
journal = j-FIB-QUART,
volume = "15",
number = "1",
pages = "73--77",
month = feb,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:15 MDT 2011",
bibsource = "http://www.fq.math.ca/15-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-1/swamy.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1977:SSC,
author = "L. Carlitz",
title = "Some Sums Containing the Greatest Integer Function",
journal = j-FIB-QUART,
volume = "15",
number = "1",
pages = "78--84",
month = feb,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:15 MDT 2011",
bibsource = "http://www.fq.math.ca/15-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-1/carlitz2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Silber:1977:WNF,
author = "Robert Silber",
title = "{Wythoff}'s {Nim} and {Fibonacci} Representations",
journal = j-FIB-QUART,
volume = "15",
number = "1",
pages = "85--88",
month = feb,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:15 MDT 2011",
bibsource = "http://www.fq.math.ca/15-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-1/silber2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1977:APSa,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "15",
number = "1",
pages = "89--92",
month = feb,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:15 MDT 2011",
bibsource = "http://www.fq.math.ca/15-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-1/advanced15-1-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1977:EPSa,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "15",
number = "1",
pages = "93--96",
month = feb,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:15 MDT 2011",
bibsource = "http://www.fq.math.ca/15-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-1/elementary15-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Williams:1977:PSF,
author = "H. C. Williams",
title = "Properties of Some Functions Similar to {Lucas}
Functions",
journal = j-FIB-QUART,
volume = "15",
number = "2",
pages = "97--111",
month = apr,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:17 MDT 2011",
bibsource = "http://www.fq.math.ca/15-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-2/williams.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hinden:1977:PAR,
author = "Harvey J. Hinden",
title = "Phi Again: a Relationship Between the Golden Ratio and
the Limit of a Ratio of Modified {Bessel} Functions",
journal = j-FIB-QUART,
volume = "15",
number = "2",
pages = "112, 152",
month = apr,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:17 MDT 2011",
bibsource = "http://www.fq.math.ca/15-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-2/hinden-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bergum:1977:LQC,
author = "Gerald E. Bergum and Verner E. {Hoggatt, Jr.}",
title = "Limits of Quotients for the Convolved {Fibonacci}
Sequence and Related Sequences",
journal = j-FIB-QUART,
volume = "15",
number = "2",
pages = "113--115",
month = apr,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:17 MDT 2011",
bibsource = "http://www.fq.math.ca/15-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-2/bergum.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cerimele:1977:SMH,
author = "B. J. Cerimele",
title = "Summation of Multiparameter Harmonic Series",
journal = j-FIB-QUART,
volume = "15",
number = "2",
pages = "116, 144, 149, 172",
month = apr,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:17 MDT 2011",
bibsource = "http://www.fq.math.ca/15-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-2/cerimele-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1977:FCS,
author = "V. E. {Hoggatt, Jr.} and Marjorie Bicknell-Johnson",
title = "{Fibonacci} Convolution Sequences",
journal = j-FIB-QUART,
volume = "15",
number = "2",
pages = "117--121",
month = apr,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:17 MDT 2011",
bibsource = "http://www.fq.math.ca/15-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-2/hoggatt1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Parberry:1977:TRR,
author = "E. A. Parberry",
title = "Two Recursion Relations for {$ F(F(n)) $}",
journal = j-FIB-QUART,
volume = "15",
number = "2",
pages = "122--??",
month = apr,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:17 MDT 2011",
bibsource = "http://www.fq.math.ca/15-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-2/parberry-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Small:1977:MSA,
author = "Donald B. Small",
title = "A Matrix Sequence Associated with a Continued Fraction
Expansion of a Number",
journal = j-FIB-QUART,
volume = "15",
number = "2",
pages = "123--130",
month = apr,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:17 MDT 2011",
bibsource = "http://www.fq.math.ca/15-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-2/small.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1977:GLS,
author = "Verner E. {Hoggatt, Jr.} and Marjorie
Bicknell-Johnson",
title = "Generalized {Lucas} Sequences",
journal = j-FIB-QUART,
volume = "15",
number = "2",
pages = "131--139",
month = apr,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:17 MDT 2011",
bibsource = "http://www.fq.math.ca/15-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-2/hoggatt2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bezuszka:1977:ATN,
author = "Stanley Bezuszka and Lou D'Angelo",
title = "An Application of {Tribonacci} Numbers",
journal = j-FIB-QUART,
volume = "15",
number = "2",
pages = "140--144",
month = apr,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:17 MDT 2011",
bibsource = "http://www.fq.math.ca/15-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-2/bezuszka.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Mandelson:1977:AIF,
author = "Joseph Mandelson",
title = "Amateur Interests in the {Fibonacci} Series {IV}
Calculation of Group Sizes of Residues of Moduli",
journal = j-FIB-QUART,
volume = "15",
number = "2",
pages = "145--149",
month = apr,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:17 MDT 2011",
bibsource = "http://www.fq.math.ca/15-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-2/mandelson.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Yalavigi:1977:PLG,
author = "C. C. Yalavigi and H. V. Krishna",
title = "Periodic Lengths of the Generalized {Fibonacci}
Sequence Modulo $p$",
journal = j-FIB-QUART,
volume = "15",
number = "2",
pages = "150--152",
month = apr,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:17 MDT 2011",
bibsource = "http://www.fq.math.ca/15-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-2/yalavigi.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Alladi:1977:PCF,
author = "Krishnaswami Alladi and A. G. Shannon",
title = "On a Property of Consecutive {Farey--Fibonacci}
Fractions",
journal = j-FIB-QUART,
volume = "15",
number = "2",
pages = "153--154",
month = apr,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:17 MDT 2011",
bibsource = "http://www.fq.math.ca/15-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-2/alladi.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Zeilberger:1977:SPI,
author = "Doron Zeilberger",
title = "Sums of Products Involving {Fibonacci} Sequences",
journal = j-FIB-QUART,
volume = "15",
number = "2",
pages = "155--??",
month = apr,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:17 MDT 2011",
bibsource = "http://www.fq.math.ca/15-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-2/zeilberger.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gerdes:1977:CGF,
author = "Walter Gerdes",
title = "Convergent Generalized {Fibonacci} Sequences",
journal = j-FIB-QUART,
volume = "15",
number = "2",
pages = "156--160",
month = apr,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:17 MDT 2011",
bibsource = "http://www.fq.math.ca/15-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-2/gerdes.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ainsworth:1977:GF,
author = "O. R. Ainsworth",
title = "On Generating Functions",
journal = j-FIB-QUART,
volume = "15",
number = "2",
pages = "161--163",
month = apr,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:17 MDT 2011",
bibsource = "http://www.fq.math.ca/15-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-2/ainsworth.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Davis:1977:RAN,
author = "K. Joseph Davis",
title = "A Result in Analytic Number Theory",
journal = j-FIB-QUART,
volume = "15",
number = "2",
pages = "164--165",
month = apr,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:17 MDT 2011",
bibsource = "http://www.fq.math.ca/15-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-2/davis.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1977:AP,
author = "V. E. {Hoggatt, Jr.}",
title = "Additive Partition {I}",
journal = j-FIB-QUART,
volume = "15",
number = "2",
pages = "166--??",
month = apr,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:17 MDT 2011",
bibsource = "http://www.fq.math.ca/15-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-2/hoggatt3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Powell:1977:PSC,
author = "Barry Powell",
title = "Proof of a Special Case of {Dirichlet}'s Theorem",
journal = j-FIB-QUART,
volume = "15",
number = "2",
pages = "167--169",
month = apr,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:17 MDT 2011",
bibsource = "http://www.fq.math.ca/15-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-2/powell.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Evans:1977:DEI,
author = "Ronald Evans",
title = "{Diophantine} Equations Involving the Greatest Integer
Function",
journal = j-FIB-QUART,
volume = "15",
number = "2",
pages = "170--172",
month = apr,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:17 MDT 2011",
bibsource = "http://www.fq.math.ca/15-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-2/evans.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Morton:1977:FSP,
author = "Avery A. Morton",
title = "The {Fibonacci} Series and the Periodic Table of
Elements",
journal = j-FIB-QUART,
volume = "15",
number = "2",
pages = "173--175",
month = apr,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:17 MDT 2011",
bibsource = "http://www.fq.math.ca/15-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-2/morton.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Greig:1977:FTN,
author = "W. E. Greig",
title = "On {Fibonacci} and Triangular Numbers",
journal = j-FIB-QUART,
volume = "15",
number = "2",
pages = "176--177",
month = apr,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:17 MDT 2011",
bibsource = "http://www.fq.math.ca/15-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-2/greig.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lau:1977:PGS,
author = "Chi-Leung Lau",
title = "The Periodic Generating Sequence",
journal = j-FIB-QUART,
volume = "15",
number = "2",
pages = "178--181",
month = apr,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:17 MDT 2011",
bibsource = "http://www.fq.math.ca/15-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-2/lau.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1977:API,
author = "V. E. {Hoggatt, Jr.}",
title = "Additive Partition {II}",
journal = j-FIB-QUART,
volume = "15",
number = "2",
pages = "182--??",
month = apr,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:17 MDT 2011",
bibsource = "http://www.fq.math.ca/15-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-2/hoggatt4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hewgill:1977:RBP,
author = "Denton Hewgill",
title = "A Relationship Between {Pascal}'s Triangle and
{Fermat}'s Numbers",
journal = j-FIB-QUART,
volume = "15",
number = "2",
pages = "183--184",
month = apr,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:17 MDT 2011",
bibsource = "http://www.fq.math.ca/15-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-2/hewgill.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1977:APSb,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "15",
number = "2",
pages = "185--188",
month = apr,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:17 MDT 2011",
bibsource = "http://www.fq.math.ca/15-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-2/advanced15-2-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1977:EPSb,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "15",
number = "2",
pages = "189--192",
month = apr,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:17 MDT 2011",
bibsource = "http://www.fq.math.ca/15-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-2/elementary15-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Scott:1977:TS,
author = "April Scott and Tom Delaney and V. E. {Hoggatt, Jr.}",
title = "The {Tribonacci} Sequence",
journal = j-FIB-QUART,
volume = "15",
number = "3",
pages = "193--200",
month = oct,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:19 MDT 2011",
bibsource = "http://www.fq.math.ca/15-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-3/scott.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lunnon:1977:PM,
author = "W. Fred Lunnon",
title = "The {Pascal} Matrix",
journal = j-FIB-QUART,
volume = "15",
number = "3",
pages = "201--204",
month = oct,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:19 MDT 2011",
bibsource = "http://www.fq.math.ca/15-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-3/lunnon.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Park:1977:ZOSa,
author = "C. J. Park",
title = "Zero-One Sequences and {Stirling} Numbers of the
Second Kind",
journal = j-FIB-QUART,
volume = "15",
number = "3",
pages = "205--206",
month = oct,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:19 MDT 2011",
bibsource = "http://www.fq.math.ca/15-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-3/park1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Spears:1977:PGR,
author = "W. D. Spears and T. F. Higginbotham",
title = "On Powers of the Golden Ratio",
journal = j-FIB-QUART,
volume = "15",
number = "3",
pages = "207--208",
month = oct,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:19 MDT 2011",
bibsource = "http://www.fq.math.ca/15-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-3/spears.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cavior:1977:UDP,
author = "Stephan R. Cavior",
title = "Uniform Distribution for Prescribed Moduli",
journal = j-FIB-QUART,
volume = "15",
number = "3",
pages = "209--210",
month = oct,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:19 MDT 2011",
bibsource = "http://www.fq.math.ca/15-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-3/cavior1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1977:LRC,
author = "V. E. {Hoggatt, Jr.} and Krishnaswami Alladi",
title = "Limiting Ratios of Convolved Recursive Sequences",
journal = j-FIB-QUART,
volume = "15",
number = "3",
pages = "211--214",
month = oct,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:19 MDT 2011",
bibsource = "http://www.fq.math.ca/15-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-3/hoggatt1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bergum:1977:ACG,
author = "G. E. Bergum and V. E. {Hoggatt, Jr.}",
title = "An Application of the Characteristic of the
Generalized {Fibonacci} Sequence",
journal = j-FIB-QUART,
volume = "15",
number = "3",
pages = "215--219",
month = oct,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:19 MDT 2011",
bibsource = "http://www.fq.math.ca/15-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-3/bergum.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Allen:1977:MPF,
author = "H. D. Allen",
title = "Metric Paper to Fall Short of {``Golden Mean''}",
journal = j-FIB-QUART,
volume = "15",
number = "3",
pages = "220--??",
month = oct,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:19 MDT 2011",
bibsource = "http://www.fq.math.ca/15-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-3/allen.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Popov:1977:GFP,
author = "Blagoj S. Popov",
title = "Generating Functions for Powers of Certain
Second-Order Recurrence Sequences",
journal = j-FIB-QUART,
volume = "15",
number = "3",
pages = "221--223",
month = oct,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:19 MDT 2011",
bibsource = "http://www.fq.math.ca/15-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-3/popov.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Stolarsky:1977:SGF,
author = "Kenneth B. Stolarsky",
title = "A Set of Generalized {Fibonacci} Sequences Such That
Each Natural Number Belongs to Exactly One",
journal = j-FIB-QUART,
volume = "15",
number = "3",
pages = "224--??",
month = oct,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:19 MDT 2011",
bibsource = "http://www.fq.math.ca/15-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-3/stolarsky.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1977:PCF,
author = "V. E. {Hoggatt, Jr.} and Paul S. Bruckman",
title = "Periodic Continued Fraction Representations of
{Fibonacci}-Type Irrationals",
journal = j-FIB-QUART,
volume = "15",
number = "3",
pages = "225--229",
month = oct,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:19 MDT 2011",
bibsource = "http://www.fq.math.ca/15-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-3/hoggatt2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bruckman:1977:POM,
author = "Paul S. Bruckman",
title = "Pi-Oh-{MY}!",
journal = j-FIB-QUART,
volume = "15",
number = "3",
pages = "230--??",
month = oct,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:19 MDT 2011",
bibsource = "http://www.fq.math.ca/15-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-3/bruckman1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Park:1977:ZOSb,
author = "C. J. Park",
title = "Zero-One Sequences and {Stirling} Numbers of the First
Kind",
journal = j-FIB-QUART,
volume = "15",
number = "3",
pages = "231--??",
month = oct,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:19 MDT 2011",
bibsource = "http://www.fq.math.ca/15-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-3/park2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Guillot:1977:P,
author = "Guy A. R. Guillot",
title = "Problems",
journal = j-FIB-QUART,
volume = "15",
number = "3",
pages = "232--??",
month = oct,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:19 MDT 2011",
bibsource = "http://www.fq.math.ca/15-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-3/guillot1-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Berzsenyi:1977:GFN,
author = "George Berzsenyi",
title = "{Gaussian} {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "15",
number = "3",
pages = "233--235",
month = oct,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:19 MDT 2011",
bibsource = "http://www.fq.math.ca/15-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-3/berzsenyi.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bruckman:1977:CM,
author = "Paul S. Bruckman",
title = "Constantly Mean",
journal = j-FIB-QUART,
volume = "15",
number = "3",
pages = "236--??",
month = oct,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:19 MDT 2011",
bibsource = "http://www.fq.math.ca/15-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-3/bruckman2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Deza:1977:MNT,
author = "M. Deza",
title = "On Minimal Number of Terms in Representation of
Natural Numbers as a Sum of {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "15",
number = "3",
pages = "237--??",
month = oct,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:19 MDT 2011",
bibsource = "http://www.fq.math.ca/15-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-3/deza.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Beverage:1977:LE,
author = "D. Beverage",
title = "Letter to the Editor",
journal = j-FIB-QUART,
volume = "15",
number = "3",
pages = "238--??",
month = oct,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:19 MDT 2011",
bibsource = "http://www.fq.math.ca/15-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-3/letter.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1977:CRR,
author = "V. E. {Hoggatt, Jr.} and Krishnaswami Alladi",
title = "Compositions and Recurrence Relations {II}",
journal = j-FIB-QUART,
volume = "15",
number = "3",
pages = "239--244",
month = oct,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:19 MDT 2011",
bibsource = "http://www.fq.math.ca/15-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-3/hoggatt3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bolker:1977:TPW,
author = "Ethan D. Bolker",
title = "A Topological Proof of a Well-Known Fact about
{Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "15",
number = "3",
pages = "245--??",
month = oct,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:19 MDT 2011",
bibsource = "http://www.fq.math.ca/15-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-3/bolker-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1977:ZOS,
author = "L. Carlitz and Richard Scoville",
title = "Zero-One Sequences and {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "15",
number = "3",
pages = "246--253",
month = oct,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:19 MDT 2011",
bibsource = "http://www.fq.math.ca/15-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-3/carlitz1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Guillot:1977:UNT,
author = "Guy A. R. Guillot",
title = "The Unified Number Theory",
journal = j-FIB-QUART,
volume = "15",
number = "3",
pages = "254--??",
month = oct,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:19 MDT 2011",
bibsource = "http://www.fq.math.ca/15-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-3/guillot2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:1977:PAC,
author = "A. F. Horadam",
title = "Polynomials Associated with {Chebyshev} Polynomials of
the First Kind",
journal = j-FIB-QUART,
volume = "15",
number = "3",
pages = "255--257",
month = oct,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:19 MDT 2011",
bibsource = "http://www.fq.math.ca/15-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-3/horadam.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wegener:1977:SAP,
author = "Delano P. Wegener",
title = "Semi-Associates in {$ Z[\sqrt {2}] $} and Primitive
{Pythagorean} Triples",
journal = j-FIB-QUART,
volume = "15",
number = "3",
pages = "258--264",
month = oct,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:19 MDT 2011",
bibsource = "http://www.fq.math.ca/15-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-3/wegener.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cavior:1977:UDR,
author = "Stephan R. Cavior",
title = "Uniform Distribution $ \pmod {m} $ of Recurrent
Sequences",
journal = j-FIB-QUART,
volume = "15",
number = "3",
pages = "265--267",
month = oct,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:19 MDT 2011",
bibsource = "http://www.fq.math.ca/15-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-3/cavior2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Shannon:1977:TNP,
author = "A. G. Shannon",
title = "{Tribonacci} Numbers and {Pascal}'s Pyramid",
journal = j-FIB-QUART,
volume = "15",
number = "3",
pages = "268--??",
month = oct,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:19 MDT 2011",
bibsource = "http://www.fq.math.ca/15-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-3/shannon-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bruckman:1977:GFC,
author = "Paul S. Bruckman",
title = "On Generating Functions with Composite Coefficients",
journal = j-FIB-QUART,
volume = "15",
number = "3",
pages = "269--275",
month = oct,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:19 MDT 2011",
bibsource = "http://www.fq.math.ca/15-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-3/bruckman3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1977:FNG,
author = "L. Carlitz",
title = "{Fibonacci} Notes 6. {A} Generating Function for
{Halsey}'s {Fibonacci} Function",
journal = j-FIB-QUART,
volume = "15",
number = "3",
pages = "276--280",
month = oct,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:19 MDT 2011",
bibsource = "http://www.fq.math.ca/15-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-3/carlitz2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1977:APSc,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "15",
number = "3",
pages = "281--284",
month = oct,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:19 MDT 2011",
bibsource = "http://www.fq.math.ca/15-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-3/advanced15-3-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1977:EPSc,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "15",
number = "3",
pages = "285--288",
month = oct,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:19 MDT 2011",
bibsource = "http://www.fq.math.ca/15-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-3/elementary15-3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:1977:GIG,
author = "A. F. Horadam",
title = "Generating Identities for Generalized {Fibonacci} and
{Lucas} Sequences",
journal = j-FIB-QUART,
volume = "15",
number = "4",
pages = "289--292",
month = dec,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:22 MDT 2011",
bibsource = "http://www.fq.math.ca/15-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-4/horadam.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bruckman:1977:ECI,
author = "Paul S. Bruckman",
title = "On the Evaluation of Certain Infinite Series by
Elliptic Functions",
journal = j-FIB-QUART,
volume = "15",
number = "4",
pages = "293--310",
month = dec,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:22 MDT 2011",
bibsource = "http://www.fq.math.ca/15-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-4/bruckman.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gould:1977:SAA,
author = "H. W. Gould and J. B. Kim and V. E. {Hoggatt, Jr.}",
title = "Sequences Associated with $t$-Ary Coding of
{Fibonacci}'s Rabbits",
journal = j-FIB-QUART,
volume = "15",
number = "4",
pages = "311--318",
month = dec,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:22 MDT 2011",
bibsource = "http://www.fq.math.ca/15-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-4/gould.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kirkpatrick:1977:FSA,
author = "Thomas B. {Kirkpatrick, Jr.}",
title = "{Fibonacci} Sequences and Additive Triangles of Higher
Order and Degree",
journal = j-FIB-QUART,
volume = "15",
number = "4",
pages = "319--322",
month = dec,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:22 MDT 2011",
bibsource = "http://www.fq.math.ca/15-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-4/kirkpatrick.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1977:PFF,
author = "V. E. {Hoggatt, Jr.} and G. E. Bergum",
title = "A Problem of {Fermat} and the {Fibonacci} Sequence",
journal = j-FIB-QUART,
volume = "15",
number = "4",
pages = "323--330",
month = dec,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:22 MDT 2011",
bibsource = "http://www.fq.math.ca/15-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-4/hoggatt1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Beck:1977:MRA,
author = "Walter E. Beck and Rudolph M. Najar",
title = "More Reduced Amicable Pairs",
journal = j-FIB-QUART,
volume = "15",
number = "4",
pages = "331--332",
month = dec,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:22 MDT 2011",
bibsource = "http://www.fq.math.ca/15-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-4/beck1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brualdi:1977:FSE,
author = "R. A. Brualdi and J. Csima",
title = "{Fibonacci} Sequence and Extremal Stochastic
Matrices",
journal = j-FIB-QUART,
volume = "15",
number = "4",
pages = "333--335",
month = dec,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:22 MDT 2011",
bibsource = "http://www.fq.math.ca/15-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-4/brualdi.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Frankel:1977:BIP,
author = "Edward T. Frankel",
title = "{Bell}'s Imperfect Perfect Numbers",
journal = j-FIB-QUART,
volume = "15",
number = "4",
pages = "336--??",
month = dec,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:22 MDT 2011",
bibsource = "http://www.fq.math.ca/15-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-4/frankel.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Beck:1977:FPC,
author = "Walter E. Beck and Rudolph M. Najar",
title = "Fixed Points of Certain Arithmetic Functions",
journal = j-FIB-QUART,
volume = "15",
number = "4",
pages = "337--341",
month = dec,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:22 MDT 2011",
bibsource = "http://www.fq.math.ca/15-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-4/beck2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1977:FAR,
author = "Anonymous",
title = "{Fibonacci} Association Research Conference",
journal = j-FIB-QUART,
volume = "15",
number = "4",
pages = "342--??",
month = dec,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:22 MDT 2011",
bibsource = "http://www.fq.math.ca/15-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-4/program.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Iakin:1977:GQH,
author = "I. L. Iakin",
title = "Generalized Quaternions of Higher Order",
journal = j-FIB-QUART,
volume = "15",
number = "4",
pages = "343--345",
month = dec,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:22 MDT 2011",
bibsource = "http://www.fq.math.ca/15-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-4/iakin1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1977:LE,
author = "Anonymous",
title = "Letter to the Editor",
journal = j-FIB-QUART,
volume = "15",
number = "4",
pages = "346--??",
month = dec,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:22 MDT 2011",
bibsource = "http://www.fq.math.ca/15-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-4/letter.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kiss:1977:CBR,
author = "Peter Kiss and Bui Minh Phong",
title = "On the Connection Between the Rank of Apparition of a
Prime $p$ in {Fibonacci} Sequence and the {Fibonacci}
Primitive Roots",
journal = j-FIB-QUART,
volume = "15",
number = "4",
pages = "347--349",
month = dec,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:22 MDT 2011",
bibsource = "http://www.fq.math.ca/15-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-4/kiss.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Iakin:1977:GQQ,
author = "A. L. Iakin",
title = "Generalized Quaternions with Quaternion Components",
journal = j-FIB-QUART,
volume = "15",
number = "4",
pages = "350--352",
month = dec,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:22 MDT 2011",
bibsource = "http://www.fq.math.ca/15-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-4/iakin2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{DeLeon:1977:FPR,
author = "M. J. DeLeon",
title = "{Fibonacci} Primitive Roots and the Period of the
{Fibonacci} Numbers Modulo $p$",
journal = j-FIB-QUART,
volume = "15",
number = "4",
pages = "353--355",
month = dec,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:22 MDT 2011",
bibsource = "http://www.fq.math.ca/15-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-4/deleon.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Greig:1977:SFT,
author = "W. E. Greig",
title = "On Sums of {Fibonacci}-Type Reciprocals",
journal = j-FIB-QUART,
volume = "15",
number = "4",
pages = "356--358",
month = dec,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:22 MDT 2011",
bibsource = "http://www.fq.math.ca/15-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-4/greig.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Smith:1977:RRD,
author = "Stephen W. Smith and Dean B. Priest",
title = "Row and Rising Diagonal Sums for a Type of {Pascal}
Triangle",
journal = j-FIB-QUART,
volume = "15",
number = "4",
pages = "359--360",
month = dec,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:22 MDT 2011",
bibsource = "http://www.fq.math.ca/15-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-4/smith.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1977:A,
author = "Anonymous",
title = "Addendum",
journal = j-FIB-QUART,
volume = "15",
number = "4",
pages = "361--??",
month = dec,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:22 MDT 2011",
bibsource = "http://www.fq.math.ca/15-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-4/addendum.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Layman:1977:CGB,
author = "J. W. Layman",
title = "Certain General Binomial--{Fibonacci} Sums",
journal = j-FIB-QUART,
volume = "15",
number = "4",
pages = "362--366",
month = dec,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:22 MDT 2011",
bibsource = "http://www.fq.math.ca/15-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-4/layman.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1977:NSS,
author = "V. E. {Hoggatt, Jr.}",
title = "A Note on the Summation of Squares",
journal = j-FIB-QUART,
volume = "15",
number = "4",
pages = "367--369",
month = dec,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:22 MDT 2011",
bibsource = "http://www.fq.math.ca/15-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-4/hoggatt2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brousseau:1977:FND,
author = "Brother Alfred Brousseau",
title = "{Fibonacci} Numbers in Diatoms?",
journal = j-FIB-QUART,
volume = "15",
number = "4",
pages = "370--??",
month = dec,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:22 MDT 2011",
bibsource = "http://www.fq.math.ca/15-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-4/brousseau.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1977:APSd,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "15",
number = "4",
pages = "371--374",
month = dec,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:22 MDT 2011",
bibsource = "http://www.fq.math.ca/15-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-4/advanced15-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1977:EPSd,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "15",
number = "4",
pages = "375--377",
month = dec,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:22 MDT 2011",
bibsource = "http://www.fq.math.ca/15-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-4/elementary15-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1977:VI,
author = "Anonymous",
title = "Volume Index",
journal = j-FIB-QUART,
volume = "15",
number = "4",
pages = "378--??",
month = dec,
year = "1977",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:22 MDT 2011",
bibsource = "http://www.fq.math.ca/15-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/15-4/index.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Shannon:1978:FLN,
author = "A. G. Shannon",
title = "{Fibonacci} and {Lucas} Numbers and the Complexity of
a Graph",
journal = j-FIB-QUART,
volume = "16",
number = "1",
pages = "1--3",
month = feb,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:24 MDT 2011",
bibsource = "http://www.fq.math.ca/16-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-1/shannon1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Sun:1978:EGP,
author = "Hugo S. Sun",
title = "Embedding a Group in the $p$ th Powers",
journal = j-FIB-QUART,
volume = "16",
number = "1",
pages = "4--??",
month = feb,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:24 MDT 2011",
bibsource = "http://www.fq.math.ca/16-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-1/sun.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hickerson:1978:IRN,
author = "Dean R. Hickerson",
title = "Identities Relating the Number of Partitions into an
Even and Odd Number of Parts. {II}",
journal = j-FIB-QUART,
volume = "16",
number = "1",
pages = "5--6",
month = feb,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:24 MDT 2011",
bibsource = "http://www.fq.math.ca/16-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-1/hickerson1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Desmond:1978:ERA,
author = "James E. Desmond",
title = "On the Existence of the Rank of Apparition of $m$ in
the {Lucas} Sequence",
journal = j-FIB-QUART,
volume = "16",
number = "1",
pages = "7--10",
month = feb,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:24 MDT 2011",
bibsource = "http://www.fq.math.ca/16-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-1/desmond.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1978:RTO,
author = "L. Carlitz",
title = "Recurrences of the Third Order and Related
Combinatorial Identities",
journal = j-FIB-QUART,
volume = "16",
number = "1",
pages = "11--18",
month = feb,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:24 MDT 2011",
bibsource = "http://www.fq.math.ca/16-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-1/carlitz.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brown:1978:SSS,
author = "J. L. {Brown, Jr.}",
title = "Some Sequence-to-Sequence Transformations which
Preserve Completeness",
journal = j-FIB-QUART,
volume = "16",
number = "1",
pages = "19--22",
month = feb,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:24 MDT 2011",
bibsource = "http://www.fq.math.ca/16-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-1/brown1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hickerson:1978:IRC,
author = "Dean R. Hickerson",
title = "An Identity Relating Compositions and Partitions",
journal = j-FIB-QUART,
volume = "16",
number = "1",
pages = "23--26",
month = feb,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:24 MDT 2011",
bibsource = "http://www.fq.math.ca/16-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-1/hickerson2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Shannon:1978:MRS,
author = "A. G. Shannon",
title = "On the Multiplication of Recursive Sequences",
journal = j-FIB-QUART,
volume = "16",
number = "1",
pages = "27--32",
month = feb,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:24 MDT 2011",
bibsource = "http://www.fq.math.ca/16-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-1/shannon2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:1978:DF,
author = "A. F. Horadam",
title = "Diagonal Functions",
journal = j-FIB-QUART,
volume = "16",
number = "1",
pages = "33--36",
month = feb,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:24 MDT 2011",
bibsource = "http://www.fq.math.ca/16-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-1/horadam.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hensley:1978:FTH,
author = "Douglas Hensley",
title = "{Fibonacci} Tiling and Hyperbolas",
journal = j-FIB-QUART,
volume = "16",
number = "1",
pages = "37--40",
month = feb,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:24 MDT 2011",
bibsource = "http://www.fq.math.ca/16-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-1/hensley.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brown:1978:PFN,
author = "J. L. {Brown, Jr.} and V. E. {Hoggatt, Jr.}",
title = "A Primer for the {Fibonacci} Numbers, {Part XVI},
{The} Central Column Sequence",
journal = j-FIB-QUART,
volume = "16",
number = "1",
pages = "41--46",
month = feb,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:24 MDT 2011",
bibsource = "http://www.fq.math.ca/16-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-1/brown2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Heed:1978:EPF,
author = "Joseph J. Heed and Lucille Kelly",
title = "Entry Points of the {Fibonacci} Sequence and the
{Euler} $ \phi $ Function",
journal = j-FIB-QUART,
volume = "16",
number = "1",
pages = "47--50",
month = feb,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:24 MDT 2011",
bibsource = "http://www.fq.math.ca/16-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-1/heed.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brady:1978:MBL,
author = "W. G. Brady",
title = "More on {Benford}'s Law",
journal = j-FIB-QUART,
volume = "16",
number = "1",
pages = "51--52",
month = feb,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:24 MDT 2011",
bibsource = "http://www.fq.math.ca/16-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-1/brady.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brousseau:1978:FDT,
author = "Brother Alfred Brousseau",
title = "Formula Development Through Finite Differences",
journal = j-FIB-QUART,
volume = "16",
number = "1",
pages = "53--66",
month = feb,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:24 MDT 2011",
bibsource = "http://www.fq.math.ca/16-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-1/brousseau.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bicknell-Johnson:1978:GDC,
author = "Marjorie Bicknell-Johnson",
title = "A Golden Double Crostic",
journal = j-FIB-QUART,
volume = "16",
number = "1",
pages = "67--69",
month = feb,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:24 MDT 2011",
bibsource = "http://www.fq.math.ca/16-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-1/bicknell-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hendy:1978:SDP,
author = "M. D. Hendy",
title = "{Stolarsky}'s Distribution of the Positive Integers",
journal = j-FIB-QUART,
volume = "16",
number = "1",
pages = "70--80",
month = feb,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:24 MDT 2011",
bibsource = "http://www.fq.math.ca/16-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-1/hendy.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Butcher:1978:CCS,
author = "J. C. Butcher",
title = "On a Conjecture Concerning a Set of Sequences
Satisfying the {Fibonacci} Difference Equation",
journal = j-FIB-QUART,
volume = "16",
number = "1",
pages = "81--83",
month = feb,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:24 MDT 2011",
bibsource = "http://www.fq.math.ca/16-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-1/butcher.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Austin:1978:BSI,
author = "Richard Austin and Richard Guy",
title = "Binary Sequences without Isolated Ones",
journal = j-FIB-QUART,
volume = "16",
number = "1",
pages = "84--85",
month = feb,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:24 MDT 2011",
bibsource = "http://www.fq.math.ca/16-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-1/austin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Desmond:1978:EPD,
author = "James E. Desmond",
title = "On the Equality of Periods of Different Moduli in the
{Fibonacci} Sequence",
journal = j-FIB-QUART,
volume = "16",
number = "1",
pages = "86--87",
month = feb,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:24 MDT 2011",
bibsource = "http://www.fq.math.ca/16-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-1/desmond-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1978:EPSa,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "16",
number = "1",
pages = "88--91",
month = feb,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:24 MDT 2011",
bibsource = "http://www.fq.math.ca/16-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-1/elementary16-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1978:APSa,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "16",
number = "1",
pages = "92--96",
month = feb,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:24 MDT 2011",
bibsource = "http://www.fq.math.ca/16-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-1/advanced16-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bunder:1978:MFF,
author = "M. W. Bunder",
title = "More {Fibonacci} Functions",
journal = j-FIB-QUART,
volume = "16",
number = "2",
pages = "97--98",
month = apr,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:26 MDT 2011",
bibsource = "http://www.fq.math.ca/16-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-2/bunder.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Shannon:1978:PDS,
author = "A. G. Shannon",
title = "{Pellian} {Diophantine} Sequences",
journal = j-FIB-QUART,
volume = "16",
number = "2",
pages = "99--102",
month = apr,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:26 MDT 2011",
bibsource = "http://www.fq.math.ca/16-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-2/shannon.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Toscano:1978:SRG,
author = "L. Toscano",
title = "Some Results for Generalized {Bernoulli}, {Euler},
{Stirling} Numbers",
journal = j-FIB-QUART,
volume = "16",
number = "2",
pages = "103--111",
month = apr,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:26 MDT 2011",
bibsource = "http://www.fq.math.ca/16-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-2/toscano.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Smith:1978:E,
author = "Pamilla Graves Smith",
title = "Expansion",
journal = j-FIB-QUART,
volume = "16",
number = "2",
pages = "112--??",
month = apr,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:26 MDT 2011",
bibsource = "http://www.fq.math.ca/16-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-2/smith.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bergum:1978:CPI,
author = "G. E. Bergum and V. E. {Hoggatt, Jr.}",
title = "A Combinatorial Problem Involving Recursive Sequences
and Tridiagonal Matrices",
journal = j-FIB-QUART,
volume = "16",
number = "2",
pages = "113--117",
month = apr,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:26 MDT 2011",
bibsource = "http://www.fq.math.ca/16-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-2/bergum.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anderson:1978:F,
author = "Peter G. Anderson",
title = "On the Formula $ \pi = 2 \sum \arccot f_{2k + 1} $",
journal = j-FIB-QUART,
volume = "16",
number = "2",
pages = "118--??",
month = apr,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:26 MDT 2011",
bibsource = "http://www.fq.math.ca/16-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-2/anderson.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gregory:1978:FSS,
author = "M. B. Gregory and J. M. Metzger",
title = "{Fibonacci} Sine Sequences",
journal = j-FIB-QUART,
volume = "16",
number = "2",
pages = "119--120",
month = apr,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:26 MDT 2011",
bibsource = "http://www.fq.math.ca/16-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-2/gregory.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hansen:1978:GIL,
author = "Rodney T. Hansen",
title = "General Identities for Linear {Fibonacci} and {Lucas}
Summations",
journal = j-FIB-QUART,
volume = "16",
number = "2",
pages = "121--127",
month = apr,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:26 MDT 2011",
bibsource = "http://www.fq.math.ca/16-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-2/hansen.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Zeitlin:1978:ICP,
author = "David Zeitlin",
title = "An Inequality for a Class of Polynomials",
journal = j-FIB-QUART,
volume = "16",
number = "2",
pages = "128--??",
month = apr,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:26 MDT 2011",
bibsource = "http://www.fq.math.ca/16-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-2/zeitlin-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1978:PFN,
author = "V. E. {Hoggatt, Jr.} and Marjorie Bicknell-Johnson",
title = "A Primer for the {Fibonacci} Numbers {XVII}:
{Generalized} {Fibonacci} Numbers Satisfying $ u_{n +
1} u_{n - 1} - u_n^2 = \pm 1 $",
journal = j-FIB-QUART,
volume = "16",
number = "2",
pages = "128--137",
month = apr,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:26 MDT 2011",
bibsource = "http://www.fq.math.ca/16-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-2/hoggatt.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1978:GEN,
author = "L. Carlitz and V. E. {Hoggatt, Jr.}",
title = "Generalized {Eulerian} Numbers and Polynomials",
journal = j-FIB-QUART,
volume = "16",
number = "2",
pages = "138--146",
month = apr,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:26 MDT 2011",
bibsource = "http://www.fq.math.ca/16-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-2/carlitz.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:1978:WP,
author = "A. F. Horadam",
title = "{Wythoff} Pairs",
journal = j-FIB-QUART,
volume = "16",
number = "2",
pages = "147--151",
month = apr,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:26 MDT 2011",
bibsource = "http://www.fq.math.ca/16-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-2/horadam.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1978:GSI,
author = "Raymond E. Whitney",
title = "Geometric Sequences and the Initial Digit Problem",
journal = j-FIB-QUART,
volume = "16",
number = "2",
pages = "152--153",
month = apr,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:26 MDT 2011",
bibsource = "http://www.fq.math.ca/16-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-2/whitney.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1978:AAP,
author = "Anonymous",
title = "Addenda to Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "16",
number = "2",
pages = "154--??",
month = apr,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:26 MDT 2011",
bibsource = "http://www.fq.math.ca/16-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-2/addenda-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Jones:1978:SVP,
author = "Burton W. Jones",
title = "A Second Variation on a Problem of {Diophantus} and
{Davenport}",
journal = j-FIB-QUART,
volume = "16",
number = "2",
pages = "155--165",
month = apr,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:26 MDT 2011",
bibsource = "http://www.fq.math.ca/16-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-2/jones.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Greig:1978:GN,
author = "W. E. Greig",
title = "On Generalized {$ G_{j, k} $} Numbers",
journal = j-FIB-QUART,
volume = "16",
number = "2",
pages = "166--170",
month = apr,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:26 MDT 2011",
bibsource = "http://www.fq.math.ca/16-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-2/greig.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Zenz:1978:FMB,
author = "F. A. Zenz",
title = "The Fluid Mechanics of Bubbling Beds",
journal = j-FIB-QUART,
volume = "16",
number = "2",
pages = "171--183",
month = apr,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:26 MDT 2011",
bibsource = "http://www.fq.math.ca/16-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-2/zenz.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1978:EPSb,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "16",
number = "2",
pages = "184--187",
month = apr,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:26 MDT 2011",
bibsource = "http://www.fq.math.ca/16-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-2/elementary16-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1978:APSb,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "16",
number = "2",
pages = "188--192",
month = apr,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:26 MDT 2011",
bibsource = "http://www.fq.math.ca/16-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-2/advanced16-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Dressler:1978:IFT,
author = "Robert E. Dressler and Louis Pigno",
title = "{Interpolation} of {Fourier} Transforms on Sums of
{Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "16",
number = "3",
pages = "193--194",
month = jun,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:28 MDT 2011",
bibsource = "http://www.fq.math.ca/16-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-3/dressler1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Dressler:1978:TMT,
author = "Robert E. Dressler and Louis Pigno",
title = "Topological, Measure Theoretic and Analytic Properties
of the {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "16",
number = "3",
pages = "195--197",
month = jun,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:28 MDT 2011",
bibsource = "http://www.fq.math.ca/16-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-3/dressler2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Knuth:1978:IPI,
author = "Donald E. Knuth and Michael S. Paterson",
title = "Identities from Partition Involutions",
journal = j-FIB-QUART,
volume = "16",
number = "3",
pages = "198--212",
month = jun,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
MRclass = "05A17 (10A45)",
MRnumber = "58 #21652",
MRreviewer = "G. L. Alexanderson",
bibdate = "Thu Oct 20 17:59:28 MDT 2011",
bibsource = "http://www.fq.math.ca/16-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-3/knuth.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gladwin:1978:EFN,
author = "A. S. Gladwin",
title = "Expansion of the {Fibonacci} Number {$ F_{n m} $} in
$n$ th Powers of {Fibonacci} or {Lucas} Numbers",
journal = j-FIB-QUART,
volume = "16",
number = "3",
pages = "213--215",
month = jun,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:28 MDT 2011",
bibsource = "http://www.fq.math.ca/16-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-3/gladwin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1978:SPR,
author = "Leonard Carlitz",
title = "Some Polynomials Related to {Fibonacci} and {Eulerian}
Numbers",
journal = j-FIB-QUART,
volume = "16",
number = "3",
pages = "216--226",
month = jun,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:28 MDT 2011",
bibsource = "http://www.fq.math.ca/16-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-3/carlitz1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1978:RSC,
author = "Leonard Carlitz",
title = "A Recurrence Suggested by a Combinatorial Problem",
journal = j-FIB-QUART,
volume = "16",
number = "3",
pages = "227--242",
month = jun,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:28 MDT 2011",
bibsource = "http://www.fq.math.ca/16-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-3/carlitz2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1978:SRC,
author = "Leonard Carlitz",
title = "Some Remarks on a Combinatorial Identity",
journal = j-FIB-QUART,
volume = "16",
number = "3",
pages = "243--248",
month = jun,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:28 MDT 2011",
bibsource = "http://www.fq.math.ca/16-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-3/carlitz3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1978:ECW,
author = "Leonard Carlitz",
title = "Enumeration of Certain Weighted Sequences",
journal = j-FIB-QUART,
volume = "16",
number = "3",
pages = "249--254",
month = jun,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:28 MDT 2011",
bibsource = "http://www.fq.math.ca/16-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-3/carlitz4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1978:NDS,
author = "Leonard Carlitz",
title = "The Number of Derangements of a Sequence with Given
Specification",
journal = j-FIB-QUART,
volume = "16",
number = "3",
pages = "255--258",
month = jun,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:28 MDT 2011",
bibsource = "http://www.fq.math.ca/16-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-3/carlitz5.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1978:EPS,
author = "Leonard Carlitz",
title = "Enumeration of Permutations by Sequences",
journal = j-FIB-QUART,
volume = "16",
number = "3",
pages = "259--268",
month = jun,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:28 MDT 2011",
bibsource = "http://www.fq.math.ca/16-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-3/carlitz6.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gerdes:1978:GTN,
author = "Walter Gerdes",
title = "Generalized {Tribonacci} Numbers and Their Convergent
Sequences",
journal = j-FIB-QUART,
volume = "16",
number = "3",
pages = "269--275",
month = jun,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:28 MDT 2011",
bibsource = "http://www.fq.math.ca/16-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-3/gerdes.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cull:1978:KTR,
author = "Paul Cull and Jeffery {De Curtins}",
title = "{Knight}'s Tour Revisited",
journal = j-FIB-QUART,
volume = "16",
number = "3",
pages = "276--284",
month = jun,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:28 MDT 2011",
bibsource = "http://www.fq.math.ca/16-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-3/cull.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bergum:1978:FTM,
author = "Gerald E. Bergum and Verner E. {Hoggatt, Jr.}",
title = "A Family of Tridiagonal Matrices",
journal = j-FIB-QUART,
volume = "16",
number = "3",
pages = "285--288",
month = jun,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:28 MDT 2011",
bibsource = "http://www.fq.math.ca/16-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-3/bergum.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1978:PGF,
author = "Verner E. {Hoggatt, Jr.} and Marjorie
Bicknell-Johnson",
title = "Properties of Generating Functions of a Convolution
Array",
journal = j-FIB-QUART,
volume = "16",
number = "4",
pages = "289--295",
month = aug,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:30 MDT 2011",
bibsource = "http://www.fq.math.ca/16-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-4/hoggatt.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anderson:1978:SMP,
author = "O. D. Anderson",
title = "Some More Pattern from {Pascal}'s Triangle",
journal = j-FIB-QUART,
volume = "16",
number = "4",
pages = "296--301",
month = aug,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:30 MDT 2011",
bibsource = "http://www.fq.math.ca/16-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-4/anderson.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Beiter:1978:CCP,
author = "Marion Beiter",
title = "Coefficients of the Cyclotomic Polynomial {$
F_{3qr}(x) $}",
journal = j-FIB-QUART,
volume = "16",
number = "4",
pages = "302--306",
month = aug,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:30 MDT 2011",
bibsource = "http://www.fq.math.ca/16-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-4/beiter.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brown:1978:SPG,
author = "J. L. {Brown, Jr.}",
title = "Simplified Proof of a Greatest Integer Function
Theorem",
journal = j-FIB-QUART,
volume = "16",
number = "4",
pages = "307--309",
month = aug,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:30 MDT 2011",
bibsource = "http://www.fq.math.ca/16-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-4/brown.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Eswarathasan:1978:SPF,
author = "A. Eswarathasan",
title = "On Square Pseudo-{Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "16",
number = "4",
pages = "310--314",
month = aug,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:30 MDT 2011",
bibsource = "http://www.fq.math.ca/16-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-4/eswarathasan.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{DeVita:1978:FIF,
author = "Joseph {De Vita}",
title = "{Fibonacci}, Insects, and Flowers",
journal = j-FIB-QUART,
volume = "16",
number = "4",
pages = "315--317",
month = aug,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:30 MDT 2011",
bibsource = "http://www.fq.math.ca/16-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-4/devita.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Guaraldo:1978:DISa,
author = "Rosalind Guaraldo",
title = "On the Density of the Image Sets of Certain Arithmetic
Functions --- {I}",
journal = j-FIB-QUART,
volume = "16",
number = "4",
pages = "318--326",
month = aug,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:30 MDT 2011",
bibsource = "http://www.fq.math.ca/16-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-4/guaraldo.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Guerin:1978:MCA,
author = "E. E. Guerin",
title = "Matrices and Convolutions of Arithmetic Functions",
journal = j-FIB-QUART,
volume = "16",
number = "4",
pages = "327--334",
month = aug,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:30 MDT 2011",
bibsource = "http://www.fq.math.ca/16-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-4/guerin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Suttenfield:1978:NS,
author = "James M. {Suttenfield, Jr.}",
title = "A New Series",
journal = j-FIB-QUART,
volume = "16",
number = "4",
pages = "335--343",
month = aug,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:30 MDT 2011",
bibsource = "http://www.fq.math.ca/16-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-4/suttenfield.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Waddill:1978:SPG,
author = "Marcellus E. Waddill",
title = "Some Properties of a Generalized {Fibonacci} Sequence
Modulo $m$",
journal = j-FIB-QUART,
volume = "16",
number = "4",
pages = "344--353",
month = aug,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:30 MDT 2011",
bibsource = "http://www.fq.math.ca/16-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-4/waddill.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bernstein:1978:ICI,
author = "Leon Bernstein",
title = "An Invariant for Combinatorial Identities",
journal = j-FIB-QUART,
volume = "16",
number = "4",
pages = "354--369",
month = aug,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:30 MDT 2011",
bibsource = "http://www.fq.math.ca/16-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-4/bernstein.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:1978:SSS,
author = "E. M. Horadam",
title = "Solved, Semi-Solved, and Unsolved Problems in
Generalized Integers: a Survey",
journal = j-FIB-QUART,
volume = "16",
number = "4",
pages = "370--380",
month = aug,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:30 MDT 2011",
bibsource = "http://www.fq.math.ca/16-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-4/horadam.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Mohanty:1978:NPI,
author = "S. P. Mohanty",
title = "The Number of Primes is Infinite",
journal = j-FIB-QUART,
volume = "16",
number = "4",
pages = "381--384",
month = aug,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:30 MDT 2011",
bibsource = "http://www.fq.math.ca/16-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-4/mohanty.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1978:CAJ,
author = "V. E. {Hoggatt, Jr.} and Marjorie Bicknell-Johnson",
title = "Convolution Arrays for {Jacobsthal} and {Fibonacci}
Polynomials",
journal = j-FIB-QUART,
volume = "16",
number = "5",
pages = "385--402",
month = oct,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:32 MDT 2011",
bibsource = "http://www.fq.math.ca/16-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-5/hoggatt1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Vince:1978:FSM,
author = "Andrew Vince",
title = "The {Fibonacci} Sequence Modulo {$N$}",
journal = j-FIB-QUART,
volume = "16",
number = "5",
pages = "403--406",
month = oct,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:32 MDT 2011",
bibsource = "http://www.fq.math.ca/16-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-5/vince.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hunter:1978:CPF,
author = "J. A. H. Hunter",
title = "Congruent Primes of Form $ (8 r + 1) $",
journal = j-FIB-QUART,
volume = "16",
number = "5",
pages = "407--410",
month = oct,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:32 MDT 2011",
bibsource = "http://www.fq.math.ca/16-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-5/hunter.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1978:SCF,
author = "Leonard Carlitz",
title = "Some Classes of {Fibonacci} Sums",
journal = j-FIB-QUART,
volume = "16",
number = "5",
pages = "411--425",
month = oct,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:32 MDT 2011",
bibsource = "http://www.fq.math.ca/16-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-5/carlitz.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bicknell-Johnson:1978:FCH,
author = "Marjorie Bicknell-Johnson",
title = "{Fibonacci} Chromotology or How to Paint Your Rabbit",
journal = j-FIB-QUART,
volume = "16",
number = "5",
pages = "426--427",
month = oct,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:32 MDT 2011",
bibsource = "http://www.fq.math.ca/16-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-5/bicknell.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Guaraldo:1978:DISb,
author = "Rosalind Guaraldo",
title = "On the Density of the Image Sets of Certain Arithmetic
Functions --- {II}",
journal = j-FIB-QUART,
volume = "16",
number = "5",
pages = "428--434",
month = oct,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:32 MDT 2011",
bibsource = "http://www.fq.math.ca/16-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-5/guaraldo.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ferguson:1978:FPC,
author = "Helaman Rolfe Pratt Ferguson",
title = "The {Fibonacci} Pseudogroup, Characteristic
Polynomials and Eigenvalues of Tridiagonal Matrices,
Periodic Linear Recurrence Systems and Application to
Quantum Mechanics",
journal = j-FIB-QUART,
volume = "16",
number = "5",
pages = "435--446",
month = oct,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:32 MDT 2011",
bibsource = "http://www.fq.math.ca/16-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-5/ferguson.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Fuller:1978:VWE,
author = "Leonard E. Fuller",
title = "Vectors Whose Elements Belong to a Generalized
{Fibonacci} Sequence",
journal = j-FIB-QUART,
volume = "16",
number = "5",
pages = "447--450",
month = oct,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:32 MDT 2011",
bibsource = "http://www.fq.math.ca/16-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-5/fuller.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Steiner:1978:TPL,
author = "Ray Steiner",
title = "On {$N$ th} Powers in the {Lucas} and {Fibonacci}
Series",
journal = j-FIB-QUART,
volume = "16",
number = "5",
pages = "451--458",
month = oct,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:32 MDT 2011",
bibsource = "http://www.fq.math.ca/16-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-5/steiner1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Flanigan:1978:GTP,
author = "Jim Flanigan",
title = "Generalized Two-Pile {Fibonacci Nim}",
journal = j-FIB-QUART,
volume = "16",
number = "5",
pages = "459--469",
month = oct,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:32 MDT 2011",
bibsource = "http://www.fq.math.ca/16-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-5/flanigan.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Steiner:1978:PNC,
author = "Ray Steiner",
title = "On $k$ th-Power Numerical Centers",
journal = j-FIB-QUART,
volume = "16",
number = "5",
pages = "470--471",
month = oct,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:32 MDT 2011",
bibsource = "http://www.fq.math.ca/16-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-5/steiner2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1978:PWP,
author = "V. E. {Hoggatt, Jr.} and A. P. Hillman",
title = "A Property of {Wythoff} Pairs",
journal = j-FIB-QUART,
volume = "16",
number = "5",
pages = "472--??",
month = oct,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:32 MDT 2011",
bibsource = "http://www.fq.math.ca/16-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-5/hoggatt2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1978:EPSc,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "16",
number = "5",
pages = "473--476",
month = oct,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:32 MDT 2011",
bibsource = "http://www.fq.math.ca/16-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-5/elementary16-5.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1978:APSc,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "16",
number = "5",
pages = "477--480",
month = oct,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:32 MDT 2011",
bibsource = "http://www.fq.math.ca/16-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-5/advanced16-5.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Guaraldo:1978:DISc,
author = "Rosalind Guaraldo",
title = "On the Density of the Image Sets of Certain Arithmetic
Functions --- {III}",
journal = j-FIB-QUART,
volume = "16",
number = "6",
pages = "481--487",
month = dec,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:34 MDT 2011",
bibsource = "http://www.fq.math.ca/16-6.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-6/guaraldo.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gould:1978:ESC,
author = "H. W. Gould",
title = "Evaluation of Sum of Convolved Powers Using {Stirling}
and {Eulerian} Numbers",
journal = j-FIB-QUART,
volume = "16",
number = "6",
pages = "488--496",
month = dec,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:34 MDT 2011",
bibsource = "http://www.fq.math.ca/16-6.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-6/gould1-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Harborth:1978:ANP,
author = "Heiko Harborth",
title = "$b$-Adic Numbers in {Pascal}'s Triangle Modulo $b$",
journal = j-FIB-QUART,
volume = "16",
number = "6",
pages = "497--500",
month = dec,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:34 MDT 2011",
bibsource = "http://www.fq.math.ca/16-6.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-6/harborth.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1978:DPP,
author = "V. E. {Hoggatt, Jr.} and Marjorie Bicknell-Johnson",
title = "Divisibility Properties of Polynomials in {Pascal}'s
Triangle",
journal = j-FIB-QUART,
volume = "16",
number = "6",
pages = "501--512",
month = dec,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:34 MDT 2011",
bibsource = "http://www.fq.math.ca/16-6.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-6/hoggatt.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Larson:1978:GSE,
author = "Paul Larson",
title = "The Golden Section in the Earliest Notated {Western}
Music",
journal = j-FIB-QUART,
volume = "16",
number = "6",
pages = "513--514",
month = dec,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:34 MDT 2011",
bibsource = "http://www.fq.math.ca/16-6.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-6/larson.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Robbins:1978:FNW,
author = "Neville Robbins",
title = "On {Fibonacci} Numbers Which are Powers",
journal = j-FIB-QUART,
volume = "16",
number = "6",
pages = "515--517",
month = dec,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:34 MDT 2011",
bibsource = "http://www.fq.math.ca/16-6.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-6/robbins.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rosa:1978:PPP,
author = "B. {de La Rosa}",
title = "Primes, Powers, and Partitions",
journal = j-FIB-QUART,
volume = "16",
number = "6",
pages = "518--522",
month = dec,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:34 MDT 2011",
bibsource = "http://www.fq.math.ca/16-6.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-6/delarosa.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cohen:1978:OPN,
author = "G. L. Cohen",
title = "On Odd Perfect Numbers",
journal = j-FIB-QUART,
volume = "16",
number = "6",
pages = "523--526",
month = dec,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:34 MDT 2011",
bibsource = "http://www.fq.math.ca/16-6.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-6/cohen.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Adler:1978:SCF,
author = "Irving Adler",
title = "A Simple Continued Fraction Represents a Mediant Nest
of Intervals",
journal = j-FIB-QUART,
volume = "16",
number = "6",
pages = "527--529",
month = dec,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:34 MDT 2011",
bibsource = "http://www.fq.math.ca/16-6.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-6/adler.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Greig:1978:FSB,
author = "W. E. Greig",
title = "Folded Sequences and {Bode}'s Problem",
journal = j-FIB-QUART,
volume = "16",
number = "6",
pages = "530--538",
month = dec,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:34 MDT 2011",
bibsource = "http://www.fq.math.ca/16-6.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-6/greig.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Finkelstein:1978:FNC,
author = "Mark Finkelstein and Robert Whitley",
title = "{Fibonacci} Numbers in Coin Tossing Sequences",
journal = j-FIB-QUART,
volume = "16",
number = "6",
pages = "539--540",
month = dec,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:34 MDT 2011",
bibsource = "http://www.fq.math.ca/16-6.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-6/finkelstein.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kimberling:1978:SDS,
author = "Clark Kimberling",
title = "Strong Divisibility Sequences with Nonzero Initial
Term",
journal = j-FIB-QUART,
volume = "16",
number = "6",
pages = "541--543",
month = dec,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:34 MDT 2011",
bibsource = "http://www.fq.math.ca/16-6.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-6/kimberling.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Herget:1978:MPM,
author = "W. Herget",
title = "Minimum Periods Modulo $n$ for {Bernoulli} Numbers",
journal = j-FIB-QUART,
volume = "16",
number = "6",
pages = "544--547",
month = dec,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:34 MDT 2011",
bibsource = "http://www.fq.math.ca/16-6.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-6/herget.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gupta:1978:RVP,
author = "Hansraj Gupta",
title = "The Rank-Vector of a Partition",
journal = j-FIB-QUART,
volume = "16",
number = "6",
pages = "548--551",
month = dec,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:34 MDT 2011",
bibsource = "http://www.fq.math.ca/16-6.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-6/gupta1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gupta:1978:AFF,
author = "Hansraj Gupta",
title = "The {Andrews} Formula for {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "16",
number = "6",
pages = "552--554",
month = dec,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:34 MDT 2011",
bibsource = "http://www.fq.math.ca/16-6.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-6/gupta2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gould:1978:OFU,
author = "H. W. Gould",
title = "Operational Formulas for Unusual {Fibonacci} Series",
journal = j-FIB-QUART,
volume = "16",
number = "6",
pages = "555--560",
month = dec,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:34 MDT 2011",
bibsource = "http://www.fq.math.ca/16-6.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-6/gould2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hindin:1978:FNC,
author = "Harvey J. Hindin",
title = "A Figurate Number Curiosity: Every Integer is a
Quadratic Function of a Figurate Number",
journal = j-FIB-QUART,
volume = "16",
number = "6",
pages = "561--??",
month = dec,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:34 MDT 2011",
bibsource = "http://www.fq.math.ca/16-6.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-6/hindin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1978:EPSd,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "16",
number = "6",
pages = "562--565",
month = dec,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:34 MDT 2011",
bibsource = "http://www.fq.math.ca/16-6.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-6/elementary16-6.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1978:APSd,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "16",
number = "6",
pages = "566--569",
month = dec,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:34 MDT 2011",
bibsource = "http://www.fq.math.ca/16-6.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-6/advanced16-6.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1978:VI,
author = "Anonymous",
title = "Volume Index",
journal = j-FIB-QUART,
volume = "16",
number = "6",
pages = "570--??",
month = dec,
year = "1978",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:34 MDT 2011",
bibsource = "http://www.fq.math.ca/16-6.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/16-6/index.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bicknell-Johnson:1979:PTC,
author = "Marjorie Bicknell-Johnson",
title = "{Pythagorean} Triples Containing {Fibonacci} Numbers:
Solution for {$ F_n^2 \pm F_k^2 = K^2 $}",
journal = j-FIB-QUART,
volume = "17",
number = "1",
pages = "1--12",
month = feb,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:36 MDT 2011",
bibsource = "http://www.fq.math.ca/17-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-1/bicknell.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kimberling:1979:SDS,
author = "Clark Kimberling",
title = "Strong Divisibility Sequences and Some Conjectures",
journal = j-FIB-QUART,
volume = "17",
number = "1",
pages = "13--17",
month = feb,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:36 MDT 2011",
bibsource = "http://www.fq.math.ca/17-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-1/kimberling1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kimberling:1979:GCD,
author = "Clark Kimberling",
title = "Greatest Common Divisors of Sums and Differences of
{Fibonacci}, {Lucas} and {Chebyshev} Polynomials",
journal = j-FIB-QUART,
volume = "17",
number = "1",
pages = "18--22",
month = feb,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:36 MDT 2011",
bibsource = "http://www.fq.math.ca/17-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-1/kimberling2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Turner:1979:PTO,
author = "Stephen John Turner",
title = "Probability via the {$N$ th} Order {Fibonacci-$T$}
Sequence",
journal = j-FIB-QUART,
volume = "17",
number = "1",
pages = "23--28",
month = feb,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:36 MDT 2011",
bibsource = "http://www.fq.math.ca/17-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-1/turner.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wall:1979:SCI,
author = "Charles R. Wall",
title = "Some Congruences Involving Generalized {Fibonacci}
Numbers",
journal = j-FIB-QUART,
volume = "17",
number = "1",
pages = "29--33",
month = feb,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:36 MDT 2011",
bibsource = "http://www.fq.math.ca/17-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-1/wall.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Light:1979:ETL,
author = "F. W. {Light, Jr.}",
title = "Enumeration of Truncated {Latin} Rectangles",
journal = j-FIB-QUART,
volume = "17",
number = "1",
pages = "34--36",
month = feb,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:36 MDT 2011",
bibsource = "http://www.fq.math.ca/17-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-1/light.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Boardman:1979:NMH,
author = "John Boardman",
title = "The Normal Modes of a Hanging Oscillator of Order
{$N$}",
journal = j-FIB-QUART,
volume = "17",
number = "1",
pages = "37--39",
month = feb,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:36 MDT 2011",
bibsource = "http://www.fq.math.ca/17-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-1/boardman.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Midttun:1979:CCF,
author = "Norvald Midttun",
title = "Congruences for Certain {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "17",
number = "1",
pages = "40--41",
month = feb,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:36 MDT 2011",
bibsource = "http://www.fq.math.ca/17-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-1/midttun.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bruckman:1979:SDP,
author = "Paul S. Bruckman",
title = "Some Divisibility Properties of Generalized
{Fibonacci} Sequences",
journal = j-FIB-QUART,
volume = "17",
number = "1",
pages = "42--48",
month = feb,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:36 MDT 2011",
bibsource = "http://www.fq.math.ca/17-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-1/bruckman.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{ODonnell:1979:NPT,
author = "William J. O'Donnell",
title = "A Note on a {Pell}-Type Sequence",
journal = j-FIB-QUART,
volume = "17",
number = "1",
pages = "49--50",
month = feb,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:36 MDT 2011",
bibsource = "http://www.fq.math.ca/17-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-1/odonnell1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Allard:1979:PEP,
author = "A. Allard and P. Lecomte",
title = "Periods and Entry Points in {Fibonacci} Sequence",
journal = j-FIB-QUART,
volume = "17",
number = "1",
pages = "51--57",
month = feb,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:36 MDT 2011",
bibsource = "http://www.fq.math.ca/17-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-1/allard.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Smith:1979:GFC,
author = "Claudia Smith and Verner E. {Hoggatt, Jr.}",
title = "Generating Functions of Central Values in Generalized
{Pascal} Triangles",
journal = j-FIB-QUART,
volume = "17",
number = "1",
pages = "58--66",
month = feb,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:36 MDT 2011",
bibsource = "http://www.fq.math.ca/17-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-1/smith.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Owings:1979:STF,
author = "James C. {Owings, Jr.}",
title = "Solution of $ \binom (y + 1, x) = \binom (y, x + 1) $
in Terms of {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "17",
number = "1",
pages = "67--68",
month = feb,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:36 MDT 2011",
bibsource = "http://www.fq.math.ca/17-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-1/owings.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anderson:1979:DE,
author = "David A. Anderson and Milton W. Loyer",
title = "The {Diophantine} Equation {$ N b^2 = c^2 + N + 1 $}",
journal = j-FIB-QUART,
volume = "17",
number = "1",
pages = "69--70",
month = feb,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:36 MDT 2011",
bibsource = "http://www.fq.math.ca/17-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-1/anderson.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ercolano:1979:MGP,
author = "Joseph Ercolano",
title = "Matrix Generators of {Pell} Sequences",
journal = j-FIB-QUART,
volume = "17",
number = "1",
pages = "71--76",
month = feb,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:36 MDT 2011",
bibsource = "http://www.fq.math.ca/17-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-1/ercolano.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{ODonnell:1979:TTC,
author = "William J. O'Donnell",
title = "Two Theorems Concerning Hexagonal Numbers",
journal = j-FIB-QUART,
volume = "17",
number = "1",
pages = "77--79",
month = feb,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:36 MDT 2011",
bibsource = "http://www.fq.math.ca/17-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-1/odonnell2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Neumann:1979:SSL,
author = "B. H. Neumann and L. G. Wilson",
title = "Some Sequences like {Fibonacci}'s",
journal = j-FIB-QUART,
volume = "17",
number = "1",
pages = "80--83",
month = feb,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:36 MDT 2011",
bibsource = "http://www.fq.math.ca/17-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "See corrigenda \cite{Neumann:1983:CSS}.",
URL = "http://www.fq.math.ca/Scanned/17-1/neumann.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1979:NLF,
author = "V. E. {Hoggatt, Jr.} and A. P. Hillman",
title = "Nearly Linear Functions",
journal = j-FIB-QUART,
volume = "17",
number = "1",
pages = "84--89",
month = feb,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:36 MDT 2011",
bibsource = "http://www.fq.math.ca/17-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-1/hoggatt.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1979:EPSa,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "17",
number = "1",
pages = "90--93",
month = feb,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:36 MDT 2011",
bibsource = "http://www.fq.math.ca/17-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-1/elementary17-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1979:APSa,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "17",
number = "1",
pages = "94--96",
month = feb,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:36 MDT 2011",
bibsource = "http://www.fq.math.ca/17-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-1/advanced17-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Joseph:1979:MCT,
author = "James E. Joseph",
title = "Maximum Cardinalities for Topologies on Finite Sets",
journal = j-FIB-QUART,
volume = "17",
number = "2",
pages = "97--102",
month = apr,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:38 MDT 2011",
bibsource = "http://www.fq.math.ca/17-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-2/joseph.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Giuli:1979:PSDa,
author = "Christine Giuli and Robert Giuli",
title = "A Primer on {Stern}'s Diatomic Sequence",
journal = j-FIB-QUART,
volume = "17",
number = "2",
pages = "103--107",
month = apr,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:38 MDT 2011",
bibsource = "http://www.fq.math.ca/17-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-2/giuli.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Comtet:1979:MGB,
author = "Louis Comtet",
title = "A Multinomial Generalization of a Binomial Identity",
journal = j-FIB-QUART,
volume = "17",
number = "2",
pages = "108--110",
month = apr,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:38 MDT 2011",
bibsource = "http://www.fq.math.ca/17-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-2/comtet.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Somer:1979:WSO,
author = "Lawrence Somer",
title = "Which Second-Order Linear Integral Recurrences Have
Almost All Primes as Divisors?",
journal = j-FIB-QUART,
volume = "17",
number = "2",
pages = "111--115",
month = apr,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:38 MDT 2011",
bibsource = "http://www.fq.math.ca/17-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-2/somer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{McLaughlin:1979:NTA,
author = "William I. McLaughlin",
title = "Note on a {Tetranacci} Alternative to {Bode}'s Law",
journal = j-FIB-QUART,
volume = "17",
number = "2",
pages = "116--117",
month = apr,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:38 MDT 2011",
bibsource = "http://www.fq.math.ca/17-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-2/mclaughlin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1979:RAT,
author = "V. E. {Hoggatt, Jr.} and Marjorie Bicknell-Johnson",
title = "Reflections Across Two and Three Glass Plates",
journal = j-FIB-QUART,
volume = "17",
number = "2",
pages = "118--141",
month = apr,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:38 MDT 2011",
bibsource = "http://www.fq.math.ca/17-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-2/hoggatt.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Eswarathasan:1979:PFN,
author = "A. Eswarathasan",
title = "On Pseudo-{Fibonacci} Numbers of the Form {$ 2 S^2 $},
Where {$S$} is an Integer",
journal = j-FIB-QUART,
volume = "17",
number = "2",
pages = "142--146",
month = apr,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:38 MDT 2011",
bibsource = "http://www.fq.math.ca/17-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-2/eswarathasan.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bergum:1979:ISF,
author = "Gerald E. Bergum and Verner E. {Hoggatt, Jr.}",
title = "Infinite Series with {Fibonacci} and {Lucas}
Polynomials",
journal = j-FIB-QUART,
volume = "17",
number = "2",
pages = "147--150",
month = apr,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:38 MDT 2011",
bibsource = "http://www.fq.math.ca/17-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-2/bergum.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Reingold:1979:NT,
author = "Edward M. Reingold",
title = "A Note on $3$-$2$ Trees",
journal = j-FIB-QUART,
volume = "17",
number = "2",
pages = "151--157",
month = apr,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:38 MDT 2011",
bibsource = "http://www.fq.math.ca/17-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-2/reingold.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ahuja:1979:CPR,
author = "J. C. Ahuja and E. A. Enneking",
title = "Concavity Property and a Recurrence Relation for
Associated {Lah} Numbers",
journal = j-FIB-QUART,
volume = "17",
number = "2",
pages = "158--161",
month = apr,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:38 MDT 2011",
bibsource = "http://www.fq.math.ca/17-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-2/ahuja.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Azevedo:1979:FN,
author = "J. C. de Almeida Azevedo",
title = "{Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "17",
number = "2",
pages = "162--164",
month = apr,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:38 MDT 2011",
bibsource = "http://www.fq.math.ca/17-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-2/azevedo.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Woo:1979:NBT,
author = "Norman Woo",
title = "A Note on Basic {$M$}-Tuples",
journal = j-FIB-QUART,
volume = "17",
number = "2",
pages = "165--167",
month = apr,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:38 MDT 2011",
bibsource = "http://www.fq.math.ca/17-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-2/woo.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ballew:1979:PTT,
author = "David W. Ballew and Ronald C. Weger",
title = "{Pythagorean} Triples and Triangular Numbers",
journal = j-FIB-QUART,
volume = "17",
number = "2",
pages = "168--171",
month = apr,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:38 MDT 2011",
bibsource = "http://www.fq.math.ca/17-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-2/ballew.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bohigian:1979:EWM,
author = "Haig E. Bohigian",
title = "Extensions of the {W. Mnich} Problem",
journal = j-FIB-QUART,
volume = "17",
number = "2",
pages = "172--177",
month = apr,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:38 MDT 2011",
bibsource = "http://www.fq.math.ca/17-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-2/bohigian.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cohn:1979:GTF,
author = "Harvey Cohn",
title = "Growth Types of {Fibonacci} and {Markoff}",
journal = j-FIB-QUART,
volume = "17",
number = "2",
pages = "178--183",
month = apr,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:38 MDT 2011",
bibsource = "http://www.fq.math.ca/17-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-2/cohn.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1979:EPSb,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "17",
number = "2",
pages = "184--187",
month = apr,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:38 MDT 2011",
bibsource = "http://www.fq.math.ca/17-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-2/elementary17-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1979:E,
author = "Anonymous",
title = "Errata",
journal = j-FIB-QUART,
volume = "17",
number = "2",
pages = "188--??",
month = apr,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:38 MDT 2011",
bibsource = "http://www.fq.math.ca/17-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-2/errata.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1979:APSb,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "17",
number = "2",
pages = "189--192",
month = apr,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:38 MDT 2011",
bibsource = "http://www.fq.math.ca/17-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-2/advanced17-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Higgins:1979:MTS,
author = "Rada Higgins",
title = "More in the Theory of Sequences",
journal = j-FIB-QUART,
volume = "17",
number = "3",
pages = "193--197",
month = oct,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:40 MDT 2011",
bibsource = "http://www.fq.math.ca/17-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-3/higgins.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1979:GWG,
author = "V. E. {Hoggatt, Jr.} and Marjorie Bicknell-Johnson and
Richard Sarsfield",
title = "A Generalization of {Wythoff}'s Game",
journal = j-FIB-QUART,
volume = "17",
number = "3",
pages = "198--211",
month = oct,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:40 MDT 2011",
bibsource = "http://www.fq.math.ca/17-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-3/hoggatt.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Adikesavan:1979:MGB,
author = "A. S. Adikesavan and S. Narayanaswami",
title = "A Modification of {Goka}'s Binary Sequence",
journal = j-FIB-QUART,
volume = "17",
number = "3",
pages = "212--219",
month = oct,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:40 MDT 2011",
bibsource = "http://www.fq.math.ca/17-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-3/adikesavan.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1979:RMC,
author = "Leonard Carlitz",
title = "Restricted Multipartite Compositions",
journal = j-FIB-QUART,
volume = "17",
number = "3",
pages = "220--227",
month = oct,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:40 MDT 2011",
bibsource = "http://www.fq.math.ca/17-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-3/carlitz.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Sayer:1979:RR,
author = "F. P. Sayer",
title = "The Recurrence Relation {$ (r + 1)f_{r + 1} = x
f_r^\prime + (K - r + 1) x^2 f_{r - 1} $}",
journal = j-FIB-QUART,
volume = "17",
number = "3",
pages = "228--238",
month = oct,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:40 MDT 2011",
bibsource = "http://www.fq.math.ca/17-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-3/sayer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gallinar:1979:FRT,
author = "Jean-Pierre Gallinar",
title = "{Fibonacci} Ratio in a Thermodynamical Case",
journal = j-FIB-QUART,
volume = "17",
number = "3",
pages = "239--240",
month = oct,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:40 MDT 2011",
bibsource = "http://www.fq.math.ca/17-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-3/gallinar.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Sun:1979:GGS,
author = "H. S. Sun",
title = "On Groups Generated by the Squares",
journal = j-FIB-QUART,
volume = "17",
number = "3",
pages = "241--245",
month = oct,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:40 MDT 2011",
bibsource = "http://www.fq.math.ca/17-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-3/sun.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Giuli:1979:PSDb,
author = "Christine Giuli and Robert Giuli",
title = "A Primer on {Stern}'s Diatomic Sequence --- {II}",
journal = j-FIB-QUART,
volume = "17",
number = "3",
pages = "246--247",
month = oct,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:40 MDT 2011",
bibsource = "http://www.fq.math.ca/17-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-3/giuli.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:1979:SPE,
author = "A. F. Horadam",
title = "Sums of Products: An Extension",
journal = j-FIB-QUART,
volume = "17",
number = "3",
pages = "248--249",
month = oct,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:40 MDT 2011",
bibsource = "http://www.fq.math.ca/17-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-3/horadam.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hochberg:1979:CGT,
author = "Murray Hochberg",
title = "A Conjecture in Game Theory",
journal = j-FIB-QUART,
volume = "17",
number = "3",
pages = "250--252",
month = oct,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:40 MDT 2011",
bibsource = "http://www.fq.math.ca/17-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-3/hochberg.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Shapiro:1979:CS,
author = "Louis W. Shapiro",
title = "The Cycle of Six",
journal = j-FIB-QUART,
volume = "17",
number = "3",
pages = "253--258",
month = oct,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:40 MDT 2011",
bibsource = "http://www.fq.math.ca/17-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-3/shapiro.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rosenberg:1979:PN,
author = "Arnold L. Rosenberg",
title = "Profile Numbers",
journal = j-FIB-QUART,
volume = "17",
number = "3",
pages = "259--263",
month = oct,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:40 MDT 2011",
bibsource = "http://www.fq.math.ca/17-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-3/rosenberg.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Smith:1979:SMV,
author = "Claudia Smith and Verner E. {Hoggatt, Jr.}",
title = "A Study of the Maximal Values in {Pascal}'s
Quadrinomial Triangle",
journal = j-FIB-QUART,
volume = "17",
number = "3",
pages = "264--268",
month = oct,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:40 MDT 2011",
bibsource = "http://www.fq.math.ca/17-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-3/smith.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Heichelheim:1979:SPI,
author = "Peter Heichelheim",
title = "The Study of Positive Integers $ (a, b) $ Such that $
a b + 1 $ is a Square",
journal = j-FIB-QUART,
volume = "17",
number = "3",
pages = "269--274",
month = oct,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:40 MDT 2011",
bibsource = "http://www.fq.math.ca/17-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-3/heichelheim.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Stern:1979:AS,
author = "Frederick Stern",
title = "Absorption Sequences",
journal = j-FIB-QUART,
volume = "17",
number = "3",
pages = "275--280",
month = oct,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:40 MDT 2011",
bibsource = "http://www.fq.math.ca/17-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-3/stern.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1979:EPSc,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "17",
number = "3",
pages = "281--285",
month = oct,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:40 MDT 2011",
bibsource = "http://www.fq.math.ca/17-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-3/elementary17-3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1979:APSc,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "17",
number = "3",
pages = "286--288",
month = oct,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:40 MDT 2011",
bibsource = "http://www.fq.math.ca/17-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-3/advanced17-3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Weinstein:1979:APC,
author = "Gerald Weinstein",
title = "An Algorithm for Packing Complements of Finite Sets of
Integers",
journal = j-FIB-QUART,
volume = "17",
number = "4",
pages = "289--292",
month = dec,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:43 MDT 2011",
bibsource = "http://www.fq.math.ca/17-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-4/weinstein.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bicknell-Johnson:1979:APT,
author = "Marjorie Bicknell-Johnson",
title = "Addenda to {``Pythagorean Triples Containing Fibonacci
Numbers: Solutions for $ F_n^2 \pm F_k^2 = K^2 $''}",
journal = j-FIB-QUART,
volume = "17",
number = "4",
pages = "293--??",
month = dec,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:43 MDT 2011",
bibsource = "http://www.fq.math.ca/17-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-4/bicknell.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Shannon:1979:SRR,
author = "A. G. Shannon and A. F. Horadam",
title = "Special Recurrence Relations Associated with the
Sequence $ \{ w_n(a, b; p, q) \} $",
journal = j-FIB-QUART,
volume = "17",
number = "4",
pages = "294--298",
month = dec,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:43 MDT 2011",
bibsource = "http://www.fq.math.ca/17-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-4/shannon1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cohen:1979:SEW,
author = "M. E. Cohen and H. Sun",
title = "On Some Extensions of the {Wang--Carlitz} Identity",
journal = j-FIB-QUART,
volume = "17",
number = "4",
pages = "299--305",
month = dec,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:43 MDT 2011",
bibsource = "http://www.fq.math.ca/17-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-4/cohen.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1979:RIT,
author = "V. E. {Hoggatt, Jr.} and Marjorie Bicknell-Johnson",
title = "Representations of Integers in Terms of Greatest
Integer Functions and the Golden Section Ratio",
journal = j-FIB-QUART,
volume = "17",
number = "4",
pages = "306--317",
month = dec,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:43 MDT 2011",
bibsource = "http://www.fq.math.ca/17-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-4/hoggatt.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Giuli:1979:PSDc,
author = "Christine Giuli and Robert Giuli",
title = "A Primer on {Stern}'s Diatomic Sequence: {Part III}:
Additional Results",
journal = j-FIB-QUART,
volume = "17",
number = "4",
pages = "318--320",
month = dec,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:43 MDT 2011",
bibsource = "http://www.fq.math.ca/17-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-4/giuli.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1979:RCI,
author = "Leonard Carlitz",
title = "Restricted Compositions {II}",
journal = j-FIB-QUART,
volume = "17",
number = "4",
pages = "321--327",
month = dec,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:43 MDT 2011",
bibsource = "http://www.fq.math.ca/17-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-4/carlitz.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:1979:CFP,
author = "A. F. Horadam",
title = "{Chebyshev} and {Fermat} Polynomials for Diagonal
Functions",
journal = j-FIB-QUART,
volume = "17",
number = "4",
pages = "328--332",
month = dec,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:43 MDT 2011",
bibsource = "http://www.fq.math.ca/17-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-4/horadam.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Arkin:1979:ESP,
author = "Joseph Arkin and V. E. {Hoggatt, Jr.} and E. G.
Strasus",
title = "On {Euler}'s Solution of a Problem of {Diophantus}",
journal = j-FIB-QUART,
volume = "17",
number = "4",
pages = "333--339",
month = dec,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:43 MDT 2011",
bibsource = "http://www.fq.math.ca/17-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-4/arkin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Davis:1979:GMH,
author = "T. Antony Davis and Rudolf Altevogt",
title = "Golden Mean of the Human Body",
journal = j-FIB-QUART,
volume = "17",
number = "4",
pages = "340--343",
month = dec,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:43 MDT 2011",
bibsource = "http://www.fq.math.ca/17-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-4/davis-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Shannon:1979:RRG,
author = "A. G. Shannon",
title = "A Recurrence Relation for Generalized Multinomial
Coefficients",
journal = j-FIB-QUART,
volume = "17",
number = "4",
pages = "344--346",
month = dec,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:43 MDT 2011",
bibsource = "http://www.fq.math.ca/17-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-4/shannon2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Shannon:1979:GFN,
author = "A. G. Shannon",
title = "Generalized {Fibonacci} Numbers as Elements of
Ideals",
journal = j-FIB-QUART,
volume = "17",
number = "4",
pages = "347--348",
month = dec,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:43 MDT 2011",
bibsource = "http://www.fq.math.ca/17-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-4/shannon3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Shannon:1979:GHP,
author = "A. G. Shannon",
title = "A Generalization of {Hilton}'s Partition of
{Horadam}'s Sequences",
journal = j-FIB-QUART,
volume = "17",
number = "4",
pages = "349--357",
month = dec,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:43 MDT 2011",
bibsource = "http://www.fq.math.ca/17-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-4/shannon4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lord:1979:DTC,
author = "Graham Lord and Herve G. Morin",
title = "Degeneracy of Transformed Complete Sequences",
journal = j-FIB-QUART,
volume = "17",
number = "4",
pages = "358--360",
month = dec,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:43 MDT 2011",
bibsource = "http://www.fq.math.ca/17-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-4/lord.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Morito:1979:FGS,
author = "Susumu Morito and Harvey M. Salkin",
title = "Finding the General Solution of a Linear {Diophantine}
Equation",
journal = j-FIB-QUART,
volume = "17",
number = "4",
pages = "361--368",
month = dec,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:43 MDT 2011",
bibsource = "http://www.fq.math.ca/17-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-4/morito.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1979:EPSd,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "17",
number = "4",
pages = "369--373",
month = dec,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:43 MDT 2011",
bibsource = "http://www.fq.math.ca/17-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-4/elementary17-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1979:APSd,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "17",
number = "4",
pages = "374--378",
month = dec,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:43 MDT 2011",
bibsource = "http://www.fq.math.ca/17-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-4/advanced17-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1979:IAP,
author = "Anonymous",
title = "Index of Advanced Problems",
journal = j-FIB-QUART,
volume = "17",
number = "4",
pages = "379--??",
month = dec,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:43 MDT 2011",
bibsource = "http://www.fq.math.ca/17-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-4/index-advanced.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1979:VI,
author = "Anonymous",
title = "Volume Index",
journal = j-FIB-QUART,
volume = "17",
number = "4",
pages = "380--??",
month = dec,
year = "1979",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:43 MDT 2011",
bibsource = "http://www.fq.math.ca/17-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/17-4/index.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ewell:1980:RTR,
author = "John A. Ewell",
title = "Recurrences for Two Restricted Partition Function",
journal = j-FIB-QUART,
volume = "18",
number = "1",
pages = "1--2",
month = feb,
year = "1980",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:45 MDT 2011",
bibsource = "http://www.fq.math.ca/18-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/18-1/ewell.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:1980:EPD,
author = "A. F. Horadam",
title = "Extensions of a Paper on Diagonal Functions",
journal = j-FIB-QUART,
volume = "18",
number = "1",
pages = "3--8",
month = feb,
year = "1980",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:45 MDT 2011",
bibsource = "http://www.fq.math.ca/18-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/18-1/horadam.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Frame:1980:FBC,
author = "J. S. Frame",
title = "Factors of the Binomial Circulant Determinant",
journal = j-FIB-QUART,
volume = "18",
number = "1",
pages = "9--23",
month = feb,
year = "1980",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:45 MDT 2011",
bibsource = "http://www.fq.math.ca/18-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/18-1/frame.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Read:1980:NTR,
author = "Ronald C. Read",
title = "A Note on Tiling Rectangles with Dominoes",
journal = j-FIB-QUART,
volume = "18",
number = "1",
pages = "24--27",
month = feb,
year = "1980",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:45 MDT 2011",
bibsource = "http://www.fq.math.ca/18-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/18-1/read.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bergum:1980:SEW,
author = "Gerald E. Bergum and Verner E. {Hoggatt, Jr.}",
title = "Some Extensions of {Wythoff} Pair Sequences",
journal = j-FIB-QUART,
volume = "18",
number = "1",
pages = "28--32",
month = feb,
year = "1980",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:45 MDT 2011",
bibsource = "http://www.fq.math.ca/18-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/18-1/bergum.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Baudert:1980:AP,
author = "F. R. Baudert",
title = "The {Apollonius} Problem",
journal = j-FIB-QUART,
volume = "18",
number = "1",
pages = "33--??",
month = feb,
year = "1980",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:45 MDT 2011",
bibsource = "http://www.fq.math.ca/18-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/18-1/baudert.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Dresel:1980:LE,
author = "L. A. G. Dresel",
title = "Letter to the Editor",
journal = j-FIB-QUART,
volume = "18",
number = "1",
pages = "34--??",
month = feb,
year = "1980",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:45 MDT 2011",
bibsource = "http://www.fq.math.ca/18-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/18-1/letter1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Waller:1980:SS,
author = "W. G. Waller and Mahadev Banerjee",
title = "Summation of the Series $ y^n + (y + 1)^n + \cdots {}
+ x^n $",
journal = j-FIB-QUART,
volume = "18",
number = "1",
pages = "35--??",
month = feb,
year = "1980",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:45 MDT 2011",
bibsource = "http://www.fq.math.ca/18-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/18-1/waller.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Smith:1980:RRE,
author = "Claudia Smith and Verner E. {Hoggatt, Jr.}",
title = "Roots of {$ (H - L) / 15 $} Recurrence Equations in
Generalized {Pascal} Triangles",
journal = j-FIB-QUART,
volume = "18",
number = "1",
pages = "36--42",
month = feb,
year = "1980",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:45 MDT 2011",
bibsource = "http://www.fq.math.ca/18-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/18-1/smith.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Babu:1980:NMT,
author = "A. G. T. Babu and Wei Shen Hsia",
title = "A Note on the Multiplication of Two $ 3 \times 3 $
{Fibonacci}-Rowed Matrices",
journal = j-FIB-QUART,
volume = "18",
number = "1",
pages = "43--??",
month = feb,
year = "1980",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:45 MDT 2011",
bibsource = "http://www.fq.math.ca/18-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/18-1/babu.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Stanley:1980:PPF,
author = "T. E. Stanley",
title = "Powers of the Period Function for the Sequence of
{Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "18",
number = "1",
pages = "44--??",
month = feb,
year = "1980",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:45 MDT 2011",
bibsource = "http://www.fq.math.ca/18-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/18-1/stanley1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Stanley:1980:SRP,
author = "T. E. Stanley",
title = "Some Remarks on the Periodicity of the Sequence of
{Fibonacci} Numbers --- {II}",
journal = j-FIB-QUART,
volume = "18",
number = "1",
pages = "45--46",
month = feb,
year = "1980",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:45 MDT 2011",
bibsource = "http://www.fq.math.ca/18-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/18-1/stanley2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kahan:1980:MCS,
author = "Steven Kahan",
title = "Mutually Counting Sequences",
journal = j-FIB-QUART,
volume = "18",
number = "1",
pages = "47--50",
month = feb,
year = "1980",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:45 MDT 2011",
bibsource = "http://www.fq.math.ca/18-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/18-1/kahan.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1980:MFC,
author = "V. E. {Hoggatt, Jr.} and Marjorie Bicknell-Johnson",
title = "Multisection of the {Fibonacci} Convolution Array and
Generalized {Lucas} Squence",
journal = j-FIB-QUART,
volume = "18",
number = "1",
pages = "51--57",
month = feb,
year = "1980",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:45 MDT 2011",
bibsource = "http://www.fq.math.ca/18-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/18-1/hoggatt1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1980:SRM,
author = "Leonard Carlitz",
title = "Some Restricted Multiple Sums",
journal = j-FIB-QUART,
volume = "18",
number = "1",
pages = "58--65",
month = feb,
year = "1980",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:45 MDT 2011",
bibsource = "http://www.fq.math.ca/18-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/18-1/carlitz1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1980:SRB,
author = "Leonard Carlitz",
title = "Some Remarks on the {Bell} Numbers",
journal = j-FIB-QUART,
volume = "18",
number = "1",
pages = "66--72",
month = feb,
year = "1980",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:45 MDT 2011",
bibsource = "http://www.fq.math.ca/18-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/18-1/carlitz2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Shannon:1980:SLR,
author = "A. G. Shannon",
title = "Some Lacunary Recurrence Relations",
journal = j-FIB-QUART,
volume = "18",
number = "1",
pages = "73--79",
month = feb,
year = "1980",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:45 MDT 2011",
bibsource = "http://www.fq.math.ca/18-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/18-1/shannon.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1980:APA,
author = "Verner E. {Hoggatt, Jr.} and Hugh Edgar",
title = "Another Proof that {$ \phi (F_n) \equiv 0 \bmod 4 $}
for All $ n > 4 $",
journal = j-FIB-QUART,
volume = "18",
number = "1",
pages = "80--81",
month = feb,
year = "1980",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:45 MDT 2011",
bibsource = "http://www.fq.math.ca/18-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/18-1/hoggatt2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Russell:1980:LE,
author = "David L. Russell",
title = "Letter to the Editor",
journal = j-FIB-QUART,
volume = "18",
number = "1",
pages = "82--??",
month = feb,
year = "1980",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:45 MDT 2011",
bibsource = "http://www.fq.math.ca/18-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/18-1/letter2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1980:C,
author = "Anonymous",
title = "Corrections",
journal = j-FIB-QUART,
volume = "18",
number = "1",
pages = "82--83",
month = feb,
year = "1980",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:45 MDT 2011",
bibsource = "http://www.fq.math.ca/18-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/18-1/corrections.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1980:EPSa,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "18",
number = "1",
pages = "84--89",
month = feb,
year = "1980",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:45 MDT 2011",
bibsource = "http://www.fq.math.ca/18-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/18-1/elementary18-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1980:APSa,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "18",
number = "1",
pages = "90--96",
month = feb,
year = "1980",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:45 MDT 2011",
bibsource = "http://www.fq.math.ca/18-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/18-1/advanced18-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1980:RSS,
author = "V. E. {Hoggatt, Jr.} and A. P. Hillman",
title = "Recursive, Spectral, and Self-Generating Sequences",
journal = j-FIB-QUART,
volume = "18",
number = "2",
pages = "97--103",
month = apr,
year = "1980",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:47 MDT 2011",
bibsource = "http://www.fq.math.ca/18-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/18-2/hoggatt.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Mullen:1980:LPPa,
author = "Gary L. Mullen",
title = "Local Permutation Polynomials Over {$ Z_p $}",
journal = j-FIB-QUART,
volume = "18",
number = "2",
pages = "104--107",
month = apr,
year = "1980",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:47 MDT 2011",
bibsource = "http://www.fq.math.ca/18-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/18-2/mullen.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kimberling:1980:GCP,
author = "Clark Kimberling",
title = "Generalized Cyclotomic Polynomials, {Fibonacci}
Cyclotomic Polynomials, and {Lucas} Cyclotomic
Polynomials",
journal = j-FIB-QUART,
volume = "18",
number = "2",
pages = "108--125",
month = apr,
year = "1980",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:47 MDT 2011",
bibsource = "http://www.fq.math.ca/18-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/18-2/kimberling.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Fuller:1980:GRR,
author = "Leonard E. Fuller",
title = "Geometric Recurrence Relation",
journal = j-FIB-QUART,
volume = "18",
number = "2",
pages = "126--128",
month = apr,
year = "1980",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:47 MDT 2011",
bibsource = "http://www.fq.math.ca/18-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/18-2/fuller1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Fuller:1980:RRR,
author = "Leonard E. Fuller",
title = "Representations for $ r, s $ Recurrence Relations",
journal = j-FIB-QUART,
volume = "18",
number = "2",
pages = "129--134",
month = apr,
year = "1980",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:47 MDT 2011",
bibsource = "http://www.fq.math.ca/18-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/18-2/fuller2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Singh:1980:TCA,
author = "Sahib Singh",
title = "{Thoro}'s Conjecture and Allied Divisibility Property
of {Lucas} Numbers",
journal = j-FIB-QUART,
volume = "18",
number = "2",
pages = "135--136",
month = apr,
year = "1980",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:47 MDT 2011",
bibsource = "http://www.fq.math.ca/18-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/18-2/singh.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Robbins:1980:CSE,
author = "Neville Robbins",
title = "A Class of Solutions of the Equation $ \sigma (n) = 2
n + t $",
journal = j-FIB-QUART,
volume = "18",
number = "2",
pages = "137--146",
month = apr,
year = "1980",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:47 MDT 2011",
bibsource = "http://www.fq.math.ca/18-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/18-2/robbins.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1980:WSNa,
author = "L. Carlitz",
title = "Weighted {Stirling} Numbers of the First and Second
Kind --- {I}",
journal = j-FIB-QUART,
volume = "18",
number = "2",
pages = "147--162",
month = apr,
year = "1980",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:47 MDT 2011",
bibsource = "http://www.fq.math.ca/18-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/18-2/carlitz1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ainsworth:1980:PQO,
author = "O. R. Ainsworth and Joseph E. {Morris, Jr.}",
title = "A Property of Quasi-Orthogonal Polynomials",
journal = j-FIB-QUART,
volume = "18",
number = "2",
pages = "163--164",
month = apr,
year = "1980",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:47 MDT 2011",
bibsource = "http://www.fq.math.ca/18-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/18-2/ainsworth.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{WiEckowski:1980:SSD,
author = "Andrzej Wi{\k{e}}ckowski",
title = "On Some Systems of {Diophantine} equations Including
the Algebraic Sum of Triangular Numbers",
journal = j-FIB-QUART,
volume = "18",
number = "2",
pages = "165--169",
month = apr,
year = "1980",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:47 MDT 2011",
bibsource = "http://www.fq.math.ca/18-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/18-2/wieckowski.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Arkin:1980:ESP,
author = "Joseph Arkin and V. E. {Hoggatt, Jr.} and E. G.
Straus",
title = "On {Euler}'s Solution to a Problem of {Diophantus} ---
{II}",
journal = j-FIB-QUART,
volume = "18",
number = "2",
pages = "170--176",
month = apr,
year = "1980",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:47 MDT 2011",
bibsource = "http://www.fq.math.ca/18-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/18-2/arkin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1980:FNZ,
author = "L. Carlitz",
title = "{Fibonacci} Notes 6. {Zero}-One Sequence Once More",
journal = j-FIB-QUART,
volume = "18",
number = "2",
pages = "177--184",
month = apr,
year = "1980",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:47 MDT 2011",
bibsource = "http://www.fq.math.ca/18-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/18-2/carlitz2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1980:BA,
author = "Anonymous",
title = "Book Announcement",
journal = j-FIB-QUART,
volume = "18",
number = "2",
pages = "185--??",
month = apr,
year = "1980",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:47 MDT 2011",
bibsource = "http://www.fq.math.ca/18-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/18-2/announcement.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1980:EPSb,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "18",
number = "2",
pages = "186--189",
month = apr,
year = "1980",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:47 MDT 2011",
bibsource = "http://www.fq.math.ca/18-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/18-2/elementary18-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1980:APSb,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "18",
number = "2",
pages = "190--192",
month = apr,
year = "1980",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:47 MDT 2011",
bibsource = "http://www.fq.math.ca/18-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/18-2/advanced18-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kimberling:1980:GFL,
author = "Clark Kimberling",
title = "Generating Functions of Linear Divisibility
Sequences",
journal = j-FIB-QUART,
volume = "18",
number = "3",
pages = "193--207",
month = oct,
year = "1980",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:49 MDT 2011",
bibsource = "http://www.fq.math.ca/18-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/18-3/kimberling.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Mullen:1980:LPPb,
author = "Gary L. Mullen",
title = "Local Permutation Polynomials in Three Variables over
{$ Z_p $}",
journal = j-FIB-QUART,
volume = "18",
number = "3",
pages = "208--213",
month = oct,
year = "1980",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:49 MDT 2011",
bibsource = "http://www.fq.math.ca/18-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/18-3/mullen.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lewin:1980:SCI,
author = "Mordechai Lewin",
title = "Some Combinatorial Identities",
journal = j-FIB-QUART,
volume = "18",
number = "3",
pages = "214--219",
month = oct,
year = "1980",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:49 MDT 2011",
bibsource = "http://www.fq.math.ca/18-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/18-3/lewin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1980:APP,
author = "V. E. {Hoggatt, Jr.}",
title = "Additive Partitions of the Positive Integers",
journal = j-FIB-QUART,
volume = "18",
number = "3",
pages = "220--225",
month = oct,
year = "1980",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:49 MDT 2011",
bibsource = "http://www.fq.math.ca/18-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/18-3/hoggatt.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kreweras:1980:NML,
author = "G. Kreweras",
title = "The Number of More or Less ``Regular'' Permutations",
journal = j-FIB-QUART,
volume = "18",
number = "3",
pages = "226--228",
month = oct,
year = "1980",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:49 MDT 2011",
bibsource = "http://www.fq.math.ca/18-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/18-3/kreweras.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Budgor:1980:SPP,
author = "Aaron B. Budgor",
title = "Star Polygons, {Pascal}'s Triangle, and {Fibonacci}
Numbers",
journal = j-FIB-QUART,
volume = "18",
number = "3",
pages = "229--230",
month = oct,
year = "1980",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:49 MDT 2011",
bibsource = "http://www.fq.math.ca/18-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/18-3/budgor.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Yamada:1980:CPA,
author = "Masaji Yamada",
title = "A Convergence Proof about an Integral Sequence",
journal = j-FIB-QUART,
volume = "18",
number = "3",
pages = "231--241",
month = oct,
year = "1980",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:49 MDT 2011",
bibsource = "http://www.fq.math.ca/18-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/18-3/yamada.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1980:WSNb,
author = "L. Carlitz",
title = "Weighted {Stirling} Numbers of the First and Second
Kind --- {II}",
journal = j-FIB-QUART,
volume = "18",
number = "3",
pages = "242--257",
month = oct,
year = "1980",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:49 MDT 2011",
bibsource = "http://www.fq.math.ca/18-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/18-3/carlitz.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hindin:1980:TCH,
author = "Harvey J. Hindin",
title = "A Theorem Concerning Heptagonal Numbers",
journal = j-FIB-QUART,
volume = "18",
number = "3",
pages = "258--??",
month = oct,
year = "1980",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:49 MDT 2011",
bibsource = "http://www.fq.math.ca/18-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/18-3/hindin1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hindin:1980:ARC,
author = "Harvey J. Hindin",
title = "An Alternate Representation for {C{\'e}saro}'s
{Fibonacci--Lucas} Identity",
journal = j-FIB-QUART,
volume = "18",
number = "3",
pages = "259--260",
month = oct,
year = "1980",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:49 MDT 2011",
bibsource = "http://www.fq.math.ca/18-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/18-3/hindin2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Pollin:1980:MAF,
author = "Jack M. Pollin and I. J. Schoenberg",
title = "On the Matrix Approach to {Fibonacci} Numbers and the
{Fibonacci} Pseudoprimes",
journal = j-FIB-QUART,
volume = "18",
number = "3",
pages = "261--267",
month = oct,
year = "1980",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:49 MDT 2011",
bibsource = "http://www.fq.math.ca/18-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/18-3/pollin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Walther:1980:FGF,
author = "G. Walther",
title = "Free Group and {Fibonacci} Sequence",
journal = j-FIB-QUART,
volume = "18",
number = "3",
pages = "268--272",
month = oct,
year = "1980",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:49 MDT 2011",
bibsource = "http://www.fq.math.ca/18-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/18-3/walther.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1980:EPSc,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "18",
number = "3",
pages = "273--279",
month = oct,
year = "1980",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:49 MDT 2011",
bibsource = "http://www.fq.math.ca/18-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/18-3/elementary18-3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1980:APSc,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "18",
number = "3",
pages = "280--288",
month = oct,
year = "1980",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:49 MDT 2011",
bibsource = "http://www.fq.math.ca/18-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/18-3/advanced18-3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bicknell-Johnson:1980:MVH,
author = "Marjorie Bicknell-Johnson",
title = "In Memoriam --- {Verner E. Hoggatt, Jr.}",
journal = j-FIB-QUART,
volume = "18",
number = "4",
pages = "289--??",
month = dec,
year = "1980",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:51 MDT 2011",
bibsource = "http://www.fq.math.ca/18-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/18-4/in-memoriam.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Silva:1980:GFN,
author = "Anne Silva and Verner E. {Hoggatt, Jr.}",
title = "Generalized {Fibonacci} Number",
journal = j-FIB-QUART,
volume = "18",
number = "4",
pages = "290--299",
month = dec,
year = "1980",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:51 MDT 2011",
bibsource = "http://www.fq.math.ca/18-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/18-4/silva.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Epp:1980:NTG,
author = "Robert J. Epp and Thomas S. Ferguson",
title = "A Note on Take-Away Games",
journal = j-FIB-QUART,
volume = "18",
number = "4",
pages = "300--302",
month = dec,
year = "1980",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:51 MDT 2011",
bibsource = "http://www.fq.math.ca/18-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/18-4/epp.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Howard:1980:ASN,
author = "F. T. Howard",
title = "Associated {Stirling} Numbers",
journal = j-FIB-QUART,
volume = "18",
number = "4",
pages = "303--315",
month = dec,
year = "1980",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:51 MDT 2011",
bibsource = "http://www.fq.math.ca/18-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/18-4/howard.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Somer:1980:DPP,
author = "Lawrence Somer",
title = "The Divisibility Properties of Primary {Lucas}
Recurrences with Respect to Primes",
journal = j-FIB-QUART,
volume = "18",
number = "4",
pages = "316--333",
month = dec,
year = "1980",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:51 MDT 2011",
bibsource = "http://www.fq.math.ca/18-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/18-4/somer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kimberling:1980:MPM,
author = "Clark Kimberling",
title = "Mixing Properties of Mixed {Chebyshev} Polynomials",
journal = j-FIB-QUART,
volume = "18",
number = "4",
pages = "334--340",
month = dec,
year = "1980",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:51 MDT 2011",
bibsource = "http://www.fq.math.ca/18-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/18-4/kimberling1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Creutz:1980:CIE,
author = "Michael Creutz and R. M. Sternheimer",
title = "On the Convergence of Iterated Exponentiation ---
{I}",
journal = j-FIB-QUART,
volume = "18",
number = "4",
pages = "341--346",
month = dec,
year = "1980",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:51 MDT 2011",
bibsource = "http://www.fq.math.ca/18-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/18-4/creutz.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1980:NPG,
author = "L. Carlitz",
title = "The Number of Permutations with a Given Number of
Sequences",
journal = j-FIB-QUART,
volume = "18",
number = "4",
pages = "347--352",
month = dec,
year = "1980",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:51 MDT 2011",
bibsource = "http://www.fq.math.ca/18-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/18-4/carlitz.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kimberling:1980:FCI,
author = "Clark Kimberling",
title = "Four Composition Identities for {Chebyshev}
Polynomials",
journal = j-FIB-QUART,
volume = "18",
number = "4",
pages = "353--369",
month = dec,
year = "1980",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:51 MDT 2011",
bibsource = "http://www.fq.math.ca/18-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/18-4/kimberling2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1980:EPSd,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "18",
number = "4",
pages = "370--374",
month = dec,
year = "1980",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:51 MDT 2011",
bibsource = "http://www.fq.math.ca/18-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/18-4/elementary18-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1980:APSd,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "18",
number = "4",
pages = "375--381",
month = dec,
year = "1980",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:51 MDT 2011",
bibsource = "http://www.fq.math.ca/18-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/18-4/advanced18-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1980:VI,
author = "Anonymous",
title = "Volume Index",
journal = j-FIB-QUART,
volume = "18",
number = "4",
pages = "382--??",
month = dec,
year = "1980",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:51 MDT 2011",
bibsource = "http://www.fq.math.ca/18-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/18-4/index.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gill:1981:NMR,
author = "John Gill and Gary Miller",
title = "{Newton}'s Method and Ratios of {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "19",
number = "1",
pages = "1--3",
month = feb,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:53 MDT 2011",
bibsource = "http://www.fq.math.ca/19-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-1/gill.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{DeLeon:1981:CFS,
author = "M. J. DeLeon",
title = "A Characterization of the Fundamental Solutions to
{Pell}'s Equation {$ u^2 - D v^2 = C $}",
journal = j-FIB-QUART,
volume = "19",
number = "1",
pages = "4--5",
month = feb,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:53 MDT 2011",
bibsource = "http://www.fq.math.ca/19-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-1/deleon-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Minoli:1981:SIH,
author = "Daniel Minoli",
title = "Structural Issues for Hyperperfect Numbers",
journal = j-FIB-QUART,
volume = "19",
number = "1",
pages = "6--13",
month = feb,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:53 MDT 2011",
bibsource = "http://www.fq.math.ca/19-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-1/minoli.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Backstrom:1981:RSR,
author = "Robert P. Backstrom",
title = "On Reciprocal Series Related to {Fibonacci} Numbers
with Subscripts in Arithmetic Progression",
journal = j-FIB-QUART,
volume = "19",
number = "1",
pages = "14--20",
month = feb,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:53 MDT 2011",
bibsource = "http://www.fq.math.ca/19-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-1/backstrom.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kishore:1981:E,
author = "Masao Kishore",
title = "On the Equation $ \sigma (m) \sigma (n) = (m + n)^2
$",
journal = j-FIB-QUART,
volume = "19",
number = "1",
pages = "21--23",
month = feb,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:53 MDT 2011",
bibsource = "http://www.fq.math.ca/19-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-1/kishore.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Fuller:1981:SOR,
author = "Leonard E. Fuller",
title = "A Special $m$ th-Order Recurrence Relation",
journal = j-FIB-QUART,
volume = "19",
number = "1",
pages = "24--27",
month = feb,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:53 MDT 2011",
bibsource = "http://www.fq.math.ca/19-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-1/fuller1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bange:1981:FNT,
author = "D. W. Bange and A. E. Barkauskas and P. J. Slater",
title = "{Fibonacci} Numbers in Tree Counts for Maximal
Outerplane and Related Graphs",
journal = j-FIB-QUART,
volume = "19",
number = "1",
pages = "28--34",
month = feb,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:53 MDT 2011",
bibsource = "http://www.fq.math.ca/19-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-1/bange.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{DeTemple:1981:NAG,
author = "Duane W. DeTemple",
title = "A New Angle on the Geometry of the {Fibonacci}
Numbers",
journal = j-FIB-QUART,
volume = "19",
number = "1",
pages = "35--38",
month = feb,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:53 MDT 2011",
bibsource = "http://www.fq.math.ca/19-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-1/detemple.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lagarias:1981:FLC,
author = "J. C. Lagarias and D. P. Weisser",
title = "{Fibonacci} and {Lucas} Cubes",
journal = j-FIB-QUART,
volume = "19",
number = "1",
pages = "39--42",
month = feb,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:53 MDT 2011",
bibsource = "http://www.fq.math.ca/19-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-1/lagarias.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Magazine:1981:NSC,
author = "Michael J. Magazine",
title = "The Number of States in a Class of Serial Queueing
Systems",
journal = j-FIB-QUART,
volume = "19",
number = "1",
pages = "43--44",
month = feb,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:53 MDT 2011",
bibsource = "http://www.fq.math.ca/19-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-1/magazine.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Prichett:1981:DAD,
author = "G. D. Prichett and A. L. Ludington and J. F. Lapenta",
title = "The Determination of All Decadic {Kaprekar}
Constants",
journal = j-FIB-QUART,
volume = "19",
number = "1",
pages = "45--52",
month = feb,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:53 MDT 2011",
bibsource = "http://www.fq.math.ca/19-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-1/prichett.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Long:1981:DER,
author = "C. T. Long",
title = "The Decimal Expansion of $ 1 / 89 $ and Related
Results",
journal = j-FIB-QUART,
volume = "19",
number = "1",
pages = "53--55",
month = feb,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:53 MDT 2011",
bibsource = "http://www.fq.math.ca/19-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-1/long.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Alberti:1981:RPP,
author = "Furio Alberti",
title = "A Root Property of a Psi-Type Equation",
journal = j-FIB-QUART,
volume = "19",
number = "1",
pages = "56--??",
month = feb,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:53 MDT 2011",
bibsource = "http://www.fq.math.ca/19-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-1/alberti.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Smolarski:1981:RAF,
author = "Dennis C. Smolarski and Leonard F. Klosinski",
title = "Recognition Algorithms for {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "19",
number = "1",
pages = "57--60",
month = feb,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:53 MDT 2011",
bibsource = "http://www.fq.math.ca/19-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-1/smolarski.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Garfinkel:1981:SCG,
author = "Robert S. Garfinkel and Stanley M. Selkow",
title = "On Some Conjectures of {Gould} on the Parities of the
Binomial Coefficients",
journal = j-FIB-QUART,
volume = "19",
number = "1",
pages = "61--63",
month = feb,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:53 MDT 2011",
bibsource = "http://www.fq.math.ca/19-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-1/garfinkel.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Fuller:1981:SGR,
author = "Leonard E. Fuller",
title = "Solutions for General Recurrence Relations",
journal = j-FIB-QUART,
volume = "19",
number = "1",
pages = "64--68",
month = feb,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:53 MDT 2011",
bibsource = "http://www.fq.math.ca/19-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-1/fuller2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cohen:1981:GFD,
author = "M. E. Cohen and H. S. Sun",
title = "On Generating Functions and Double Series Expansions",
journal = j-FIB-QUART,
volume = "19",
number = "1",
pages = "69--73",
month = feb,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:53 MDT 2011",
bibsource = "http://www.fq.math.ca/19-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-1/cohen.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Peters:1981:EFB,
author = "James V. Peters",
title = "An Equivalent Form of {Benford's Law}",
journal = j-FIB-QUART,
volume = "19",
number = "1",
pages = "74--75",
month = feb,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:53 MDT 2011",
bibsource = "http://www.fq.math.ca/19-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-1/peters.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Arkin:1981:NTM,
author = "J. Arkin and K. Singh",
title = "A New Type Magic {Latin} $3$-Cube of Order Ten",
journal = j-FIB-QUART,
volume = "19",
number = "1",
pages = "76--81",
month = feb,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:53 MDT 2011",
bibsource = "http://www.fq.math.ca/19-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-1/arkin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Harman:1981:CFN,
author = "C. J. Harman",
title = "Complex {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "19",
number = "1",
pages = "82--86",
month = feb,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:53 MDT 2011",
bibsource = "http://www.fq.math.ca/19-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-1/harman.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1981:EPSa,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "19",
number = "1",
pages = "87--92",
month = feb,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:53 MDT 2011",
bibsource = "http://www.fq.math.ca/19-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-1/elementary19-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1981:APSa,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "19",
number = "1",
pages = "93--96",
month = feb,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:53 MDT 2011",
bibsource = "http://www.fq.math.ca/19-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-1/advanced19-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Alspach:1981:PMC,
author = "Brian Alspach and Katherine Heinrich",
title = "Perfect Magic Cubes of Order {$ 4^m $}",
journal = j-FIB-QUART,
volume = "19",
number = "2",
pages = "97--105",
month = apr,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:55 MDT 2011",
bibsource = "http://www.fq.math.ca/19-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-2/alspach.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Fuller:1981:GFR,
author = "Leonard E. Fuller",
title = "Generating Functions for Recurrence Relations",
journal = j-FIB-QUART,
volume = "19",
number = "2",
pages = "106--109",
month = apr,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:55 MDT 2011",
bibsource = "http://www.fq.math.ca/19-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-2/fuller.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Somer:1981:RM,
author = "Lawrence Somer",
title = "The Residues of $ n^n $ Modulo $p$",
journal = j-FIB-QUART,
volume = "19",
number = "2",
pages = "110--116",
month = apr,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:55 MDT 2011",
bibsource = "http://www.fq.math.ca/19-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-2/somer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gbur:1981:GPS,
author = "Mary E. Gbur",
title = "A Generalization of a Problem of {Stolarsky}",
journal = j-FIB-QUART,
volume = "19",
number = "2",
pages = "117--120",
month = apr,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:55 MDT 2011",
bibsource = "http://www.fq.math.ca/19-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-2/gbur.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Knopfmacher:1981:IDN,
author = "J. Knopfmacher",
title = "Initial Digits in Number Theory",
journal = j-FIB-QUART,
volume = "19",
number = "2",
pages = "121--126",
month = apr,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:55 MDT 2011",
bibsource = "http://www.fq.math.ca/19-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-2/knopfmacher.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Chen:1981:FNS,
author = "Robert Chen and Alan Zame",
title = "{Fibonacci} Numbers and Stopping Times",
journal = j-FIB-QUART,
volume = "19",
number = "2",
pages = "127--130",
month = apr,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:55 MDT 2011",
bibsource = "http://www.fq.math.ca/19-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-2/chen.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hill:1981:NFS,
author = "Robert R. Hill and Kenneth L. Goldstein",
title = "A Non-{Fibonacci} Search Plan with {Fibonacci}-Like
Results",
journal = j-FIB-QUART,
volume = "19",
number = "2",
pages = "131--136",
month = apr,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:55 MDT 2011",
bibsource = "http://www.fq.math.ca/19-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-2/hill.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gessel:1981:CBT,
author = "Ira Gessel",
title = "Congruences for {Bell} and Tangent Numbers",
journal = j-FIB-QUART,
volume = "19",
number = "2",
pages = "137--143",
month = apr,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:55 MDT 2011",
bibsource = "http://www.fq.math.ca/19-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-2/gessel.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bastida:1981:QPC,
author = "Julio R. Bastida and M. J. DeLeon",
title = "A Quadratic Property of Certain Linearly Recurrent
Sequences",
journal = j-FIB-QUART,
volume = "19",
number = "2",
pages = "144--146",
month = apr,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:55 MDT 2011",
bibsource = "http://www.fq.math.ca/19-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-2/bastida1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bastida:1981:DCF,
author = "Julio R. Bastida",
title = "The Determination of Certain Fields of Invariants",
journal = j-FIB-QUART,
volume = "19",
number = "2",
pages = "147--148",
month = apr,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:55 MDT 2011",
bibsource = "http://www.fq.math.ca/19-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-2/bastida2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kliorys:1981:FNI,
author = "Constantine Kliorys",
title = "{Fibonacci} Number Identities from Algebraic Units",
journal = j-FIB-QUART,
volume = "19",
number = "2",
pages = "149--152",
month = apr,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:55 MDT 2011",
bibsource = "http://www.fq.math.ca/19-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-2/kliorys.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gleijeses:1981:PMI,
author = "B. Gleijeses",
title = "Points at Mutual Integral Distances in {$ S^n $}",
journal = j-FIB-QUART,
volume = "19",
number = "2",
pages = "153--159",
month = apr,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:55 MDT 2011",
bibsource = "http://www.fq.math.ca/19-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-2/gleijeses.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Schoen:1981:MCR,
author = "Robert Schoen",
title = "Means, Circles, Right Triangles, and the {Fibonacci}
Ratio",
journal = j-FIB-QUART,
volume = "19",
number = "2",
pages = "160--162",
month = apr,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:55 MDT 2011",
bibsource = "http://www.fq.math.ca/19-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-2/schoen.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Long:1981:LAS,
author = "Calvin T. Long",
title = "A Limited Arithmetic on Simple Continued Fractions ---
{III}",
journal = j-FIB-QUART,
volume = "19",
number = "2",
pages = "163--174",
month = apr,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:55 MDT 2011",
bibsource = "http://www.fq.math.ca/19-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-2/long.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Washington:1981:BLF,
author = "Lawrence C. Washington",
title = "{Benford's Law} for {Fibonacci} and {Lucas} Numbers",
journal = j-FIB-QUART,
volume = "19",
number = "2",
pages = "175--177",
month = apr,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
MRclass = "10A30 (10A35)",
MRnumber = "614056 (82f:10009)",
MRreviewer = "S. P. Mohanty",
bibdate = "Sat Nov 12 09:13:23 2011",
bibsource = "http://www.fq.math.ca/19-2.html;
https://www.math.utah.edu/pub/tex/bib/benfords-law.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-2/washington.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Khan:1981:SDF,
author = "Rasul A. Khan",
title = "A Simple Derivation of a Formula for $ \sum_{k = 1}^n
k^r $",
journal = j-FIB-QUART,
volume = "19",
number = "2",
pages = "177--179",
month = apr,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:55 MDT 2011",
bibsource = "http://www.fq.math.ca/19-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-2/khan.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ando:1981:NPN,
author = "Shiro Ando",
title = "A Note on the Polygonal Numbers",
journal = j-FIB-QUART,
volume = "19",
number = "2",
pages = "180--183",
month = apr,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:55 MDT 2011",
bibsource = "http://www.fq.math.ca/19-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-2/ando.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1981:EPSb,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "19",
number = "2",
pages = "184--188",
month = apr,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:55 MDT 2011",
bibsource = "http://www.fq.math.ca/19-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-2/elementary19-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1981:APSb,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "19",
number = "2",
pages = "189--192",
month = apr,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:55 MDT 2011",
bibsource = "http://www.fq.math.ca/19-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-2/advanced19-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Eves:1981:HTB,
author = "Howard Eves",
title = "Hail to Thee, Blithe Spirit!",
journal = j-FIB-QUART,
volume = "19",
number = "3",
pages = "193--195",
month = aug,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:57 MDT 2011",
bibsource = "http://www.fq.math.ca/19-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-3/eves.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bicknell-Johnson:1981:DSH,
author = "Marjorie Bicknell-Johnson",
title = "Diagonal Sums in the Harmonic Triangle",
journal = j-FIB-QUART,
volume = "19",
number = "3",
pages = "196--199",
month = aug,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:57 MDT 2011",
bibsource = "http://www.fq.math.ca/19-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-3/bicknell.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1981:SGB,
author = "L. Carlitz",
title = "Some Generalizations of a Binomial Identity
Conjectured by {Hoggatt}",
journal = j-FIB-QUART,
volume = "19",
number = "3",
pages = "200--207",
month = aug,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:57 MDT 2011",
bibsource = "http://www.fq.math.ca/19-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-3/carlitz.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Erdos:1981:SEP,
author = "Paul Erd{\H{o}}s",
title = "Some Extremal Problems on Divisibility Properties of
Sequences of Integers",
journal = j-FIB-QUART,
volume = "19",
number = "3",
pages = "208--213",
month = aug,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:57 MDT 2011",
bibsource = "http://www.fq.math.ca/19-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-3/erdos.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lange:1981:HA,
author = "Lester H. Lange",
title = "Hommage {\`a} {Archim{\`e}de}",
journal = j-FIB-QUART,
volume = "19",
number = "3",
pages = "214--218",
month = aug,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:57 MDT 2011",
bibsource = "http://www.fq.math.ca/19-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-3/lange.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Klarner:1981:URS,
author = "David A. Klarner",
title = "The Ubiquitous Rational Sequence",
journal = j-FIB-QUART,
volume = "19",
number = "3",
pages = "219--227",
month = aug,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:57 MDT 2011",
bibsource = "http://www.fq.math.ca/19-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-3/klarner.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Alladi:1981:PRP,
author = "Krishnaswami Alladi",
title = "On the Probability That $n$ and {$ \Omega (n) $} are
Relatively Prime",
journal = j-FIB-QUART,
volume = "19",
number = "3",
pages = "228--232",
month = aug,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:57 MDT 2011",
bibsource = "http://www.fq.math.ca/19-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-3/alladi.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1981:PAI,
author = "A. P. Hillman",
title = "Proportional Allocation in Integers",
journal = j-FIB-QUART,
volume = "19",
number = "3",
pages = "233--239",
month = aug,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:57 MDT 2011",
bibsource = "http://www.fq.math.ca/19-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-3/hillman.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:1981:ISG,
author = "A. F. Horadam and A. G. Shannon",
title = "Irrational Sequence-Generated Factors of Integers",
journal = j-FIB-QUART,
volume = "19",
number = "3",
pages = "240--249",
month = aug,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:57 MDT 2011",
bibsource = "http://www.fq.math.ca/19-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-3/horadam.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gould:1981:HFM,
author = "H. W. Gould",
title = "A History of the {Fibonacci} $ {Q} $-Matrix and a
Higher-Dimensional Problem",
journal = j-FIB-QUART,
volume = "19",
number = "3",
pages = "250--256",
month = aug,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:57 MDT 2011",
bibsource = "http://www.fq.math.ca/19-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-3/gould.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Long:1981:SDP,
author = "Calvin T. Long",
title = "Some Divisibility Properties of {Pascal}'s Triangle",
journal = j-FIB-QUART,
volume = "19",
number = "3",
pages = "257--263",
month = aug,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:57 MDT 2011",
bibsource = "http://www.fq.math.ca/19-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-3/long.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{DeBouvere:1981:FIG,
author = "Karel {De Bouv{\`e}re}",
title = "{Fibonacci} Induced Groups and Their Hierarchies",
journal = j-FIB-QUART,
volume = "19",
number = "3",
pages = "264--270",
month = aug,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:57 MDT 2011",
bibsource = "http://www.fq.math.ca/19-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-3/debouvere.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Thoro:1981:EA,
author = "Dmitri Thoro and Hugh Edgar",
title = "Exploring an Algorithm",
journal = j-FIB-QUART,
volume = "19",
number = "3",
pages = "271--275",
month = aug,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:57 MDT 2011",
bibsource = "http://www.fq.math.ca/19-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-3/thoro.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Logothetti:1981:ITN,
author = "Dave Logothetti",
title = "An Implicit Triangle of Numbers",
journal = j-FIB-QUART,
volume = "19",
number = "3",
pages = "276--279",
month = aug,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:57 MDT 2011",
bibsource = "http://www.fq.math.ca/19-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-3/logothetti.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kimberling:1981:FPA,
author = "Clark Kimberling",
title = "Fractional Parts $ (n r - s) $, Almost Arithmetic
Sequences, and {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "19",
number = "3",
pages = "280--284",
month = aug,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:57 MDT 2011",
bibsource = "http://www.fq.math.ca/19-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-3/kimberling.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Steiner:1981:PO,
author = "Ray Steiner",
title = "On the {``$ Q X + 1 $ Problem,''} {$Q$} Odd",
journal = j-FIB-QUART,
volume = "19",
number = "3",
pages = "285--288",
month = aug,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:57 MDT 2011",
bibsource = "http://www.fq.math.ca/19-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-3/steiner.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Arkin:1981:OLS,
author = "Joseph Arkin and E. G. Straus",
title = "Orthogonal {Latin} Systems",
journal = j-FIB-QUART,
volume = "19",
number = "4",
pages = "289--292",
month = oct,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:59 MDT 2011",
bibsource = "http://www.fq.math.ca/19-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-4/arkin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Steiner:1981:POI,
author = "Ray Steiner",
title = "On the {``$ Q X + 1 $ Problem,''} {$Q$} Odd --- {II}",
journal = j-FIB-QUART,
volume = "19",
number = "4",
pages = "293--296",
month = oct,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:59 MDT 2011",
bibsource = "http://www.fq.math.ca/19-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-4/steiner.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rice:1981:BWM,
author = "Bart F. Rice and Robert Ward",
title = "Binary Words with Minimal Autocorrelation at Offset
One",
journal = j-FIB-QUART,
volume = "19",
number = "4",
pages = "297--312",
month = oct,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:59 MDT 2011",
bibsource = "http://www.fq.math.ca/19-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-4/rice.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Squire:1981:FC,
author = "William Squire",
title = "{Fibonacci} Cubature",
journal = j-FIB-QUART,
volume = "19",
number = "4",
pages = "313--??",
month = oct,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:59 MDT 2011",
bibsource = "http://www.fq.math.ca/19-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-4/squire.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Mohanty:1981:PJB,
author = "S. P. Mohanty",
title = "On a Problem of {S. J. Bezuszka} and {M. J. Kenney} on
Cyclic Difference of Pairs of Integers",
journal = j-FIB-QUART,
volume = "19",
number = "4",
pages = "314--317",
month = oct,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:59 MDT 2011",
bibsource = "http://www.fq.math.ca/19-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-4/mohanty.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Burke:1981:ABL,
author = "John R. Burke and William A. Webb",
title = "Asymptotic Behavior of Linear Recurrences",
journal = j-FIB-QUART,
volume = "19",
number = "4",
pages = "318--321",
month = oct,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:59 MDT 2011",
bibsource = "http://www.fq.math.ca/19-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-4/burke.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Iakin:1981:AHO,
author = "A. L. Iakin",
title = "Anomalies in Higher-Order Conjugate Quaternions: a
Clarification",
journal = j-FIB-QUART,
volume = "19",
number = "4",
pages = "322--325",
month = oct,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:59 MDT 2011",
bibsource = "http://www.fq.math.ca/19-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-4/iakin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Creutz:1981:CIE,
author = "Michael Creutz and R. M. Sternheimer",
title = "On the Convergence of Iterated Exponentiation ---
{II}",
journal = j-FIB-QUART,
volume = "19",
number = "4",
pages = "326--335",
month = oct,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:59 MDT 2011",
bibsource = "http://www.fq.math.ca/19-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-4/creutz.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Russell:1981:SSO,
author = "David L. Russell",
title = "Summation of Second-Order Recurrence Terms and Their
Squares",
journal = j-FIB-QUART,
volume = "19",
number = "4",
pages = "336--339",
month = oct,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:59 MDT 2011",
bibsource = "http://www.fq.math.ca/19-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-4/russell.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wagstaff:1981:IPS,
author = "Samuel S. {Wagstaff, Jr.}",
title = "Iterating the Product of Shifted Digits",
journal = j-FIB-QUART,
volume = "19",
number = "4",
pages = "340--346",
month = oct,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:59 MDT 2011",
bibsource = "http://www.fq.math.ca/19-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-4/wagstaff.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hassin:1981:MFF,
author = "Refael Hassin",
title = "On Maximizing Functions by {Fibonacci} Search",
journal = j-FIB-QUART,
volume = "19",
number = "4",
pages = "347--350",
month = oct,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:59 MDT 2011",
bibsource = "http://www.fq.math.ca/19-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-4/hassin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Mintz:1981:SBM,
author = "Donald J. Mintz",
title = "$ 2, 3 $ Sequence as Binary Mixture",
journal = j-FIB-QUART,
volume = "19",
number = "4",
pages = "351--360",
month = oct,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:59 MDT 2011",
bibsource = "http://www.fq.math.ca/19-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-4/mintz.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Girse:1981:ICP,
author = "Robert D. Girse",
title = "Identities for Certain Partition Functions and Their
Differences",
journal = j-FIB-QUART,
volume = "19",
number = "4",
pages = "361--368",
month = oct,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:59 MDT 2011",
bibsource = "http://www.fq.math.ca/19-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-4/girse.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Robbins:1981:FLN,
author = "Neville Robbins",
title = "{Fibonacci} and {Lucas} Numbers of the Forms $ w^2 -
1, w^3 \pm 1 $",
journal = j-FIB-QUART,
volume = "19",
number = "4",
pages = "369--372",
month = oct,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:59 MDT 2011",
bibsource = "http://www.fq.math.ca/19-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-4/robbins.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hirschhorn:1981:AFF,
author = "Michael D. Hirschhorn",
title = "The {Andrews} Formula for {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "19",
number = "4",
pages = "373--374",
month = oct,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:59 MDT 2011",
bibsource = "http://www.fq.math.ca/19-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-4/hirschhorn.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Clarke:1981:SCF,
author = "J. H. Clarke and A. G. Shannon",
title = "Some Constraints on {Fermat's Last Theorem}",
journal = j-FIB-QUART,
volume = "19",
number = "4",
pages = "375--376",
month = oct,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:59 MDT 2011",
bibsource = "http://www.fq.math.ca/19-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-4/clarke.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1981:EPSc,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "19",
number = "4",
pages = "377--380",
month = oct,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:59 MDT 2011",
bibsource = "http://www.fq.math.ca/19-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-4/elementary19-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1981:APSc,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "19",
number = "4",
pages = "381--384",
month = oct,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:59:59 MDT 2011",
bibsource = "http://www.fq.math.ca/19-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-4/advanced19-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wulczyn:1981:GES,
author = "Gregory Wulczyn",
title = "A Generalized Extension of Some {Fibonacci--Lucas}
Identities to Primitive Unit Identities",
journal = j-FIB-QUART,
volume = "19",
number = "5",
pages = "385--390",
month = dec,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:01 MDT 2011",
bibsource = "http://www.fq.math.ca/19-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-5/wulczyn.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{McCarty:1981:FTN,
author = "Carl P. McCarty",
title = "A Formula for {Tribonacci} Numbers",
journal = j-FIB-QUART,
volume = "19",
number = "5",
pages = "391--392",
month = dec,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:01 MDT 2011",
bibsource = "http://www.fq.math.ca/19-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-5/mccarty.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:1981:PAG,
author = "A. F. Horadam and S. Pethe",
title = "Polynomials Associated with {Gegenbauer} Polynomials",
journal = j-FIB-QUART,
volume = "19",
number = "5",
pages = "393--397",
month = dec,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:01 MDT 2011",
bibsource = "http://www.fq.math.ca/19-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-5/horadam.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1981:EPS,
author = "L. Carlitz",
title = "Enumeration of Permutations by Sequences --- {II}",
journal = j-FIB-QUART,
volume = "19",
number = "5",
pages = "398--405",
month = dec,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:01 MDT 2011",
bibsource = "http://www.fq.math.ca/19-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-5/carlitz-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Fischler:1981:HFG,
author = "Roger Fischler",
title = "How to Find the ``Golden Number'' without Really
Trying",
journal = j-FIB-QUART,
volume = "19",
number = "5",
pages = "406--409",
month = dec,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:01 MDT 2011",
bibsource = "http://www.fq.math.ca/19-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-5/fischler.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Iakin:1981:EBF,
author = "A. L. Iakin",
title = "Extended {Binet} Forms for Generalized Quaternions of
Higher Order",
journal = j-FIB-QUART,
volume = "19",
number = "5",
pages = "410--413",
month = dec,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:01 MDT 2011",
bibsource = "http://www.fq.math.ca/19-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-5/iakin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hudson:1981:CCD,
author = "Richard H. Hudson and C. F. Winans",
title = "A Complete Characterization of the Decimal Fractions
That Can be Represented as $ \sum 10^{-k (i + 1)}
{F}_{ai} $, Where {$ F_{ai} $} is the $ a i $ th
{Fibonacci} Number",
journal = j-FIB-QUART,
volume = "19",
number = "5",
pages = "414--421",
month = dec,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:01 MDT 2011",
bibsource = "http://www.fq.math.ca/19-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-5/hudson.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cohen:1981:SEM,
author = "M. E. Cohen and H. S. Sun",
title = "On Some Extensions of the {Meixner--Weisner}
Generating Functions",
journal = j-FIB-QUART,
volume = "19",
number = "5",
pages = "422--425",
month = dec,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:01 MDT 2011",
bibsource = "http://www.fq.math.ca/19-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-5/cohen.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kimberling:1981:AAS,
author = "Clark Kimberling",
title = "Almost Arithmetic Sequences and Complementary
Systems",
journal = j-FIB-QUART,
volume = "19",
number = "5",
pages = "426--432",
month = dec,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:01 MDT 2011",
bibsource = "http://www.fq.math.ca/19-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-5/kimberling.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rockett:1981:SIB,
author = "Andrew M. Rockett",
title = "Sums of the Inverses of Binomial Coefficients",
journal = j-FIB-QUART,
volume = "19",
number = "5",
pages = "433--436",
month = dec,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:01 MDT 2011",
bibsource = "http://www.fq.math.ca/19-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-5/rockett.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Herda:1981:TPI,
author = "Hans Herda",
title = "Tiling the Plane with Incongruent Regular Polygons",
journal = j-FIB-QUART,
volume = "19",
number = "5",
pages = "437--439",
month = dec,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:01 MDT 2011",
bibsource = "http://www.fq.math.ca/19-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-5/herda.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bunder:1981:NDD,
author = "M. W. Bunder",
title = "A New Definition of Division in Rings of Quotients of
{Euclidean} Rings",
journal = j-FIB-QUART,
volume = "19",
number = "5",
pages = "440--446",
month = dec,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:01 MDT 2011",
bibsource = "http://www.fq.math.ca/19-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-5/bunder.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Muwafi:1981:RTF,
author = "Amin A. Muwafi",
title = "A Recursion-Type Formula for Some Partitions",
journal = j-FIB-QUART,
volume = "19",
number = "5",
pages = "447--448",
month = dec,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:01 MDT 2011",
bibsource = "http://www.fq.math.ca/19-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-5/muwafi.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wegener:1981:PPT,
author = "Delano P. Wegener",
title = "Primitive {Pythagorean} Triples and the Infinitude of
Primes",
journal = j-FIB-QUART,
volume = "19",
number = "5",
pages = "449--??",
month = dec,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:01 MDT 2011",
bibsource = "http://www.fq.math.ca/19-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-5/wegener1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wegener:1981:APE,
author = "Delano P. Wegener",
title = "An Application of {Pell}'s Equation",
journal = j-FIB-QUART,
volume = "19",
number = "5",
pages = "450--??",
month = dec,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:01 MDT 2011",
bibsource = "http://www.fq.math.ca/19-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-5/wegener2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Charalambides:1981:CFN,
author = "Ch. A. Charalambides",
title = "Central Factorial Numbers and Related Expansions",
journal = j-FIB-QUART,
volume = "19",
number = "5",
pages = "451--455",
month = dec,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:01 MDT 2011",
bibsource = "http://www.fq.math.ca/19-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-5/charalambides.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Geldenhuys:1981:FNM,
author = "G. Geldenhuys",
title = "On the {Fibonacci} Numbers Minus One",
journal = j-FIB-QUART,
volume = "19",
number = "5",
pages = "456--457",
month = dec,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:01 MDT 2011",
bibsource = "http://www.fq.math.ca/19-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-5/geldenhuys.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Long:1981:PTM,
author = "Calvin T. Long",
title = "{Pascal}'s Triangle Modulo $p$",
journal = j-FIB-QUART,
volume = "19",
number = "5",
pages = "458--462",
month = dec,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:01 MDT 2011",
bibsource = "http://www.fq.math.ca/19-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-5/long.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Prodinger:1981:NFP,
author = "Helmut Prodinger",
title = "On the Number of {Fibonacci} Partitions of a Set",
journal = j-FIB-QUART,
volume = "19",
number = "5",
pages = "463--465",
month = dec,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:01 MDT 2011",
bibsource = "http://www.fq.math.ca/19-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-5/prodinger.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1981:EPSd,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "19",
number = "5",
pages = "466--469",
month = dec,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:01 MDT 2011",
bibsource = "http://www.fq.math.ca/19-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-5/elementary19-5.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1981:APSd,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "19",
number = "5",
pages = "470--476",
month = dec,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:01 MDT 2011",
bibsource = "http://www.fq.math.ca/19-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-5/advanced19-5.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1981:VI,
author = "Anonymous",
title = "Volume Index",
journal = j-FIB-QUART,
volume = "19",
number = "5",
pages = "477--??",
month = dec,
year = "1981",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:01 MDT 2011",
bibsource = "http://www.fq.math.ca/19-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/19-5/index.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Botten:1982:UFR,
author = "L. C. Botten",
title = "On the Use of {Fibonacci} Recurrence Relations in the
Design of Long Wavelength Filters and Interferometers",
journal = j-FIB-QUART,
volume = "20",
number = "1",
pages = "1--6",
month = feb,
year = "1982",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:12 MDT 2011",
bibsource = "http://www.fq.math.ca/20-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/20-1/botten.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Creutz:1982:CIE,
author = "Michael Creutz and R. M. Sternheimer",
title = "On the Convergence of Iterated Exponentiation ---
{III}",
journal = j-FIB-QUART,
volume = "20",
number = "1",
pages = "7--11",
month = feb,
year = "1982",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:12 MDT 2011",
bibsource = "http://www.fq.math.ca/20-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/20-1/creutz.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ligh:1982:GFM,
author = "Steve Ligh and Pat Jones",
title = "Generalized {Fermat} and {Mersenne} Numbers",
journal = j-FIB-QUART,
volume = "20",
number = "1",
pages = "12--15",
month = feb,
year = "1982",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:12 MDT 2011",
bibsource = "http://www.fq.math.ca/20-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/20-1/ligh.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Prodinger:1982:FNG,
author = "Helmut Prodinger and Robert F. Tichy",
title = "{Fibonacci} Numbers of Graphs",
journal = j-FIB-QUART,
volume = "20",
number = "1",
pages = "16--20",
month = feb,
year = "1982",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:12 MDT 2011",
bibsource = "http://www.fq.math.ca/20-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/20-1/prodinger.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Robbins:1982:SID,
author = "Neville Robbins",
title = "Some Identities and Divisibility Properties of Linear
Second-Order Recursion Sequences",
journal = j-FIB-QUART,
volume = "20",
number = "1",
pages = "21--23",
month = feb,
year = "1982",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:12 MDT 2011",
bibsource = "http://www.fq.math.ca/20-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/20-1/robbins.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Eggan:1982:PPP,
author = "L. C. Eggan and Peter C. Eggan and J. L. Selfridge",
title = "Polygonal Products of Polygonal Numbers and the {Pell}
Equation",
journal = j-FIB-QUART,
volume = "20",
number = "1",
pages = "24--27",
month = feb,
year = "1982",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:12 MDT 2011",
bibsource = "http://www.fq.math.ca/20-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/20-1/eggan.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Philippou:1982:WTC,
author = "A. N. Philippou and A. A. Muwafi",
title = "Waiting for the {$K$ th} Consecutive Success and the
{Fibonacci} Sequence of Order {$K$}",
journal = j-FIB-QUART,
volume = "20",
number = "1",
pages = "28--32",
month = feb,
year = "1982",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:12 MDT 2011",
bibsource = "http://www.fq.math.ca/20-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/20-1/philippou.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Webb:1982:LFN,
author = "William A. Webb",
title = "The Length of the Four-Number Game",
journal = j-FIB-QUART,
volume = "20",
number = "1",
pages = "33--35",
month = feb,
year = "1982",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:12 MDT 2011",
bibsource = "http://www.fq.math.ca/20-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/20-1/webb.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Guy:1982:SCI,
author = "Robert Guy",
title = "Sums of Consecutive Integers",
journal = j-FIB-QUART,
volume = "20",
number = "1",
pages = "36--37",
month = feb,
year = "1982",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:12 MDT 2011",
bibsource = "http://www.fq.math.ca/20-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/20-1/guy.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Shannon:1982:CPG,
author = "A. G. Shannon and A. F. Horadam",
title = "Concerning a Paper by {L. G. Wilson}",
journal = j-FIB-QUART,
volume = "20",
number = "1",
pages = "38--40",
month = feb,
year = "1982",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:12 MDT 2011",
bibsource = "http://www.fq.math.ca/20-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/20-1/shannon.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Davis:1982:GDP,
author = "K. Joseph Davis",
title = "A Generalization of the {Dirichlet} Product",
journal = j-FIB-QUART,
volume = "20",
number = "1",
pages = "41--43",
month = feb,
year = "1982",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:12 MDT 2011",
bibsource = "http://www.fq.math.ca/20-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/20-1/davis.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:1982:CAI,
author = "A. F. Horadam and A. G. Shannon",
title = "Combinatorial Aspects of an Infinite Pattern of
Integers",
journal = j-FIB-QUART,
volume = "20",
number = "1",
pages = "44--50",
month = feb,
year = "1982",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:12 MDT 2011",
bibsource = "http://www.fq.math.ca/20-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/20-1/horadam.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Flanigan:1982:OPT,
author = "Jim Flanigan",
title = "One-Pile Time and Size Dependent Take-Away Games",
journal = j-FIB-QUART,
volume = "20",
number = "1",
pages = "51--58",
month = feb,
year = "1982",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:12 MDT 2011",
bibsource = "http://www.fq.math.ca/20-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/20-1/flanigan.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Murthy:1982:FCN,
author = "P. V. Satyanarayana Murthy",
title = "{Fibonacci--Cayley} Numbers",
journal = j-FIB-QUART,
volume = "20",
number = "1",
pages = "59--64",
month = feb,
year = "1982",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:12 MDT 2011",
bibsource = "http://www.fq.math.ca/20-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/20-1/murthy1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Murthy:1982:GSP,
author = "P. V. Satyanarayana Murthy",
title = "Generalizations of Some Problems on {Fibonacci}
Numbers",
journal = j-FIB-QUART,
volume = "20",
number = "1",
pages = "65--??",
month = feb,
year = "1982",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:12 MDT 2011",
bibsource = "http://www.fq.math.ca/20-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/20-1/murthy2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kidwell:1982:VFP,
author = "Mark E. Kidwell and Clifford M. Hurvich",
title = "A Variant of the {Fibonacci} Polynomials Which Arises
in the {Gambler}'s Ruin Problem",
journal = j-FIB-QUART,
volume = "20",
number = "1",
pages = "66--72",
month = feb,
year = "1982",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:12 MDT 2011",
bibsource = "http://www.fq.math.ca/20-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/20-1/kidwell.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kalman:1982:GFN,
author = "Dan Kalman",
title = "Generalized {Fibonacci} Numbers by Matrix Methods",
journal = j-FIB-QUART,
volume = "20",
number = "1",
pages = "73--76",
month = feb,
year = "1982",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:12 MDT 2011",
bibsource = "http://www.fq.math.ca/20-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/20-1/kalman.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Shallit:1982:EDS,
author = "J. O. Shallit",
title = "Explicit Descriptions of Some Continued Fractions",
journal = j-FIB-QUART,
volume = "20",
number = "1",
pages = "77--80",
month = feb,
year = "1982",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:12 MDT 2011",
bibsource = "http://www.fq.math.ca/20-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/20-1/shallit.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cohen:1982:NQN,
author = "Graeme L. Cohen",
title = "The Nonexistence of Quasiperfect Numbers of Certain
Forms",
journal = j-FIB-QUART,
volume = "20",
number = "1",
pages = "81--84",
month = feb,
year = "1982",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:12 MDT 2011",
bibsource = "http://www.fq.math.ca/20-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/20-1/cohen.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{McDaniel:1982:REI,
author = "Wayne L. McDaniel",
title = "Representations of Every Integer as the Difference of
Powerful Numbers",
journal = j-FIB-QUART,
volume = "20",
number = "1",
pages = "85--87",
month = feb,
year = "1982",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:12 MDT 2011",
bibsource = "http://www.fq.math.ca/20-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/20-1/mcdaniel.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1982:A,
author = "Anonymous",
title = "Acknowledgments",
journal = j-FIB-QUART,
volume = "20",
number = "1",
pages = "88--??",
month = feb,
year = "1982",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:12 MDT 2011",
bibsource = "http://www.fq.math.ca/20-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/20-1/acknowledgments.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1982:EPSa,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "20",
number = "1",
pages = "89--92",
month = feb,
year = "1982",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:12 MDT 2011",
bibsource = "http://www.fq.math.ca/20-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/20-1/elementary20-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1982:APSa,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "20",
number = "1",
pages = "93--96",
month = feb,
year = "1982",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:12 MDT 2011",
bibsource = "http://www.fq.math.ca/20-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/20-1/advanced20-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wong:1982:DP,
author = "Fook-Bun Wong",
title = "{Ducci} Processes",
journal = j-FIB-QUART,
volume = "20",
number = "2",
pages = "97--105",
month = may,
year = "1982",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:14 MDT 2011",
bibsource = "http://www.fq.math.ca/20-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/20-2/wong.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Herget:1982:MPM,
author = "Wilfried Herget",
title = "Minimum Periods Modulo $n$ for {Bernoulli}
Polynomials",
journal = j-FIB-QUART,
volume = "20",
number = "2",
pages = "106--110",
month = may,
year = "1982",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:14 MDT 2011",
bibsource = "http://www.fq.math.ca/20-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/20-2/herget.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Mays:1982:NFP,
author = "Michael E. Mays",
title = "A Note on {Fibonacci} Primitive Roots",
journal = j-FIB-QUART,
volume = "20",
number = "2",
pages = "111--??",
month = may,
year = "1982",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:14 MDT 2011",
bibsource = "http://www.fq.math.ca/20-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/20-2/mays.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kuipers:1982:PFS,
author = "L. Kuipers",
title = "A Property of the {Fibonacci} Sequence {$ (F_m), m =
0, 1, \ldots $}",
journal = j-FIB-QUART,
volume = "20",
number = "2",
pages = "112--113",
month = may,
year = "1982",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:14 MDT 2011",
bibsource = "http://www.fq.math.ca/20-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/20-2/kuipers.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Russell:1982:NSP,
author = "David L. Russell",
title = "Notes on Sums of Products of Generalized {Fibonacci}
Numbers",
journal = j-FIB-QUART,
volume = "20",
number = "2",
pages = "114--117",
month = may,
year = "1982",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:14 MDT 2011",
bibsource = "http://www.fq.math.ca/20-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/20-2/russell.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Spickerman:1982:BFT,
author = "W. R. Spickerman",
title = "{Binets}'s Formula for the {Tribonacci} Sequence",
journal = j-FIB-QUART,
volume = "20",
number = "2",
pages = "118--120",
month = may,
year = "1982",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:14 MDT 2011",
bibsource = "http://www.fq.math.ca/20-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/20-2/spickerman.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:1982:PT,
author = "A. F. Horadam",
title = "{Pythagorean} Triples",
journal = j-FIB-QUART,
volume = "20",
number = "2",
pages = "121--??",
month = may,
year = "1982",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:14 MDT 2011",
bibsource = "http://www.fq.math.ca/20-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/20-2/horadam1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1982:CAG,
author = "V. E. {Hoggatt, Jr.} and Marjorie Bicknell-Johnson",
title = "Composition Arrays Generated by {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "20",
number = "2",
pages = "122--128",
month = may,
year = "1982",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:14 MDT 2011",
bibsource = "http://www.fq.math.ca/20-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/20-2/hoggatt.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{DeLeon:1982:CW,
author = "M. J. DeLeon",
title = "The Congruence $ x^n \equiv a \pmod {m} $, Where $ (n,
\phi (m)) = 1 $",
journal = j-FIB-QUART,
volume = "20",
number = "2",
pages = "129--134",
month = may,
year = "1982",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:14 MDT 2011",
bibsource = "http://www.fq.math.ca/20-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/20-2/deleon.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Charalambides:1982:ECC,
author = "Ch. A. Charalambides",
title = "On the Enumeration of Certain Compositions and Related
Sequences of Numbers",
journal = j-FIB-QUART,
volume = "20",
number = "2",
pages = "135--145",
month = may,
year = "1982",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:14 MDT 2011",
bibsource = "http://www.fq.math.ca/20-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/20-2/charalambides.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Fowler:1982:GGS,
author = "D. H. Fowler",
title = "A Generalization of the Golden Section",
journal = j-FIB-QUART,
volume = "20",
number = "2",
pages = "146--158",
month = may,
year = "1982",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:14 MDT 2011",
bibsource = "http://www.fq.math.ca/20-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/20-2/fowler.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Schoen:1982:FSS,
author = "Robert Schoen",
title = "The {Fibonacci} Sequence in Successive Partitions of a
Golden Triangle",
journal = j-FIB-QUART,
volume = "20",
number = "2",
pages = "159--163",
month = may,
year = "1982",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:14 MDT 2011",
bibsource = "http://www.fq.math.ca/20-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/20-2/schoen.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:1982:GGS,
author = "A. F. Horadam",
title = "Geometry of a Generalized {Simson}'s Formula",
journal = j-FIB-QUART,
volume = "20",
number = "2",
pages = "164--167",
month = may,
year = "1982",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:14 MDT 2011",
bibsource = "http://www.fq.math.ca/20-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/20-2/horadam2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horibe:1982:EVF,
author = "Yasuichi Horibe",
title = "An Entropy View of {Fibonacci} Trees",
journal = j-FIB-QUART,
volume = "20",
number = "2",
pages = "168--178",
month = may,
year = "1982",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:14 MDT 2011",
bibsource = "http://www.fq.math.ca/20-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/20-2/horibe.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1982:EPSb,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "20",
number = "2",
pages = "179--184",
month = may,
year = "1982",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:14 MDT 2011",
bibsource = "http://www.fq.math.ca/20-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/20-2/elementary20-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1982:APSb,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "20",
number = "2",
pages = "185--191",
month = may,
year = "1982",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:14 MDT 2011",
bibsource = "http://www.fq.math.ca/20-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/20-2/advanced20-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1982:E,
author = "Anonymous",
title = "Errata",
journal = j-FIB-QUART,
volume = "20",
number = "2",
pages = "192--??",
month = may,
year = "1982",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:14 MDT 2011",
bibsource = "http://www.fq.math.ca/20-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/20-2/errata.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1982:LOF,
author = "V. E. {Hoggatt, Jr.} and Marjorie Bicknell-Johnson",
title = "Lexicographic Ordering and {Fibonacci}
Representations",
journal = j-FIB-QUART,
volume = "20",
number = "3",
pages = "193--218",
month = aug,
year = "1982",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:16 MDT 2011",
bibsource = "http://www.fq.math.ca/20-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/20-3/hoggatt.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:1982:RRG,
author = "A. F. Horadam and E. M. Horadam",
title = "Roots of Recurrence-Generated Polynomials",
journal = j-FIB-QUART,
volume = "20",
number = "3",
pages = "219--226",
month = aug,
year = "1982",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:16 MDT 2011",
bibsource = "http://www.fq.math.ca/20-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/20-3/horadam.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bernstein:1982:PPT,
author = "Leon Bernstein",
title = "Primitive {Pythagorean} Triples",
journal = j-FIB-QUART,
volume = "20",
number = "3",
pages = "227--241",
month = aug,
year = "1982",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:16 MDT 2011",
bibsource = "http://www.fq.math.ca/20-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/20-3/bernstein.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Prasad:1982:NFF,
author = "K. C. Prasad",
title = "A Note on the {Farey--Fibonacci} Sequence",
journal = j-FIB-QUART,
volume = "20",
number = "3",
pages = "242--244",
month = aug,
year = "1982",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:16 MDT 2011",
bibsource = "http://www.fq.math.ca/20-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/20-3/prasad.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Risk:1982:TEL,
author = "William P. Risk",
title = "Thevenin Equivalents of Ladder Networks",
journal = j-FIB-QUART,
volume = "20",
number = "3",
pages = "245--247",
month = aug,
year = "1982",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:16 MDT 2011",
bibsource = "http://www.fq.math.ca/20-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/20-3/risk.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1982:AFR,
author = "Anonymous",
title = "Announcement of {Fibonacci Research Conference}",
journal = j-FIB-QUART,
volume = "20",
number = "3",
pages = "248--??",
month = aug,
year = "1982",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:16 MDT 2011",
bibsource = "http://www.fq.math.ca/20-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/20-3/announcement.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Boscarol:1982:PBC,
author = "Mauro Boscarol",
title = "A Property of Binomial Coefficients",
journal = j-FIB-QUART,
volume = "20",
number = "3",
pages = "249--251",
month = aug,
year = "1982",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:16 MDT 2011",
bibsource = "http://www.fq.math.ca/20-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/20-3/boscarol.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{McHugh:1982:CS,
author = "Joseph McHugh",
title = "Characterization of a Sequence",
journal = j-FIB-QUART,
volume = "20",
number = "3",
pages = "252--255",
month = aug,
year = "1982",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:16 MDT 2011",
bibsource = "http://www.fq.math.ca/20-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/20-3/mchugh.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ewell:1982:CWQ,
author = "John A. Ewell",
title = "Consequences of {Watson}'s Quintuple-Product
Identity",
journal = j-FIB-QUART,
volume = "20",
number = "3",
pages = "256--262",
month = aug,
year = "1982",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:16 MDT 2011",
bibsource = "http://www.fq.math.ca/20-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/20-3/ewell.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rabung:1982:ABS,
author = "John Rabung and Jim Hyland",
title = "Analysis of a Betting System",
journal = j-FIB-QUART,
volume = "20",
number = "3",
pages = "263--278",
month = aug,
year = "1982",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:16 MDT 2011",
bibsource = "http://www.fq.math.ca/20-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/20-3/rabung.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1982:EPSc,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "20",
number = "3",
pages = "279--283",
month = aug,
year = "1982",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:16 MDT 2011",
bibsource = "http://www.fq.math.ca/20-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/20-3/elementary20-3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1982:APSc,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "20",
number = "3",
pages = "284--288",
month = aug,
year = "1982",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:16 MDT 2011",
bibsource = "http://www.fq.math.ca/20-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/20-3/advanced20-3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1982:STR,
author = "V. E. {Hoggatt, Jr.} and Marjorie Bicknell-Johnson",
title = "Sequence Transforms Related to Representations Using
Generalized {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "20",
number = "4",
pages = "289--298",
month = nov,
year = "1982",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:18 MDT 2011",
bibsource = "http://www.fq.math.ca/20-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/20-4/hoggatt.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Grassl:1982:SGS,
author = "Richard Grassl",
title = "Self-Generating Systems",
journal = j-FIB-QUART,
volume = "20",
number = "4",
pages = "299--310",
month = nov,
year = "1982",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:18 MDT 2011",
bibsource = "http://www.fq.math.ca/20-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/20-4/grassl.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Somer:1982:PPP,
author = "Lawrence Somer",
title = "Possible Periods of Primary {Fibonacci}-Like Sequences
with Respect to a Fixed Odd Prime",
journal = j-FIB-QUART,
volume = "20",
number = "4",
pages = "311--333",
month = nov,
year = "1982",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:18 MDT 2011",
bibsource = "http://www.fq.math.ca/20-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/20-4/somer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Stankovic:1982:CPT,
author = "Miomir S. Stankovi{\'c}",
title = "On a Convolution Product for the Transform Which Maps
Derivatives into Differences",
journal = j-FIB-QUART,
volume = "20",
number = "4",
pages = "334--342",
month = nov,
year = "1982",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:18 MDT 2011",
bibsource = "http://www.fq.math.ca/20-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/20-4/stankovic.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Robinson:1982:LE,
author = "Elmer D. Robinson",
title = "Letter to the Editor",
journal = j-FIB-QUART,
volume = "20",
number = "4",
pages = "343--??",
month = nov,
year = "1982",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:18 MDT 2011",
bibsource = "http://www.fq.math.ca/20-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/20-4/letter.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hensley:1982:ENU,
author = "Douglas Hensley",
title = "{Eulerian} Numbers and the Unit Cube",
journal = j-FIB-QUART,
volume = "20",
number = "4",
pages = "344--348",
month = nov,
year = "1982",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:18 MDT 2011",
bibsource = "http://www.fq.math.ca/20-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/20-4/hensley.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ando:1982:SDE,
author = "Shiro Ando",
title = "On a System of {Diophantine} Equations Concerning the
Polygonal Numbers",
journal = j-FIB-QUART,
volume = "20",
number = "4",
pages = "349--353",
month = nov,
year = "1982",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:18 MDT 2011",
bibsource = "http://www.fq.math.ca/20-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/20-4/ando.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Laszlo:1982:SPD,
author = "Ger{\"o}cs L{\'a}szl{\'o}",
title = "Some Properties of Divisibility of Higher-Ordered
Linear Recursive Sequences",
journal = j-FIB-QUART,
volume = "20",
number = "4",
pages = "354--359",
month = nov,
year = "1982",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:18 MDT 2011",
bibsource = "http://www.fq.math.ca/20-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/20-4/laszlo.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kerr:1982:EOL,
author = "John Kerr",
title = "The Existence of {$K$} Orthogonal {Latin} {$K$}-Cubes
of Order $6$",
journal = j-FIB-QUART,
volume = "20",
number = "4",
pages = "360--362",
month = nov,
year = "1982",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:18 MDT 2011",
bibsource = "http://www.fq.math.ca/20-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/20-4/kerr.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lefton:1982:TDF,
author = "Phyllis Lefton",
title = "A Trinomial Discriminant Formula",
journal = j-FIB-QUART,
volume = "20",
number = "4",
pages = "363--365",
month = nov,
year = "1982",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:18 MDT 2011",
bibsource = "http://www.fq.math.ca/20-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/20-4/lefton.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1982:EPSd,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "20",
number = "4",
pages = "366--371",
month = nov,
year = "1982",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:18 MDT 2011",
bibsource = "http://www.fq.math.ca/20-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/20-4/elementary20-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1982:APSd,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "20",
number = "4",
pages = "372--380",
month = nov,
year = "1982",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:18 MDT 2011",
bibsource = "http://www.fq.math.ca/20-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/20-4/advanced20-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1982:VI,
author = "Anonymous",
title = "Volume Index",
journal = j-FIB-QUART,
volume = "20",
number = "4",
pages = "381--??",
month = nov,
year = "1982",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:18 MDT 2011",
bibsource = "http://www.fq.math.ca/20-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/20-4/index.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1983:A,
author = "Anonymous",
title = "Acknowledgments",
journal = j-FIB-QUART,
volume = "21",
number = "1",
pages = "2--??",
month = feb,
year = "1983",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:20 MDT 2011",
bibsource = "http://www.fq.math.ca/21-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/21-1/acknowledgments.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Robbins:1983:FLN,
author = "Neville Robbins",
title = "On {Fibonacci} and {Lucas} Numbers Which are Sums of
Precisely Four Squares",
journal = j-FIB-QUART,
volume = "21",
number = "1",
pages = "3--5",
month = feb,
year = "1983",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:20 MDT 2011",
bibsource = "http://www.fq.math.ca/21-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/21-1/robbins.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Shannon:1983:ISO,
author = "A. G. Shannon",
title = "Intersections of Second-Order Linear Recursive
Sequences",
journal = j-FIB-QUART,
volume = "21",
number = "1",
pages = "6--12",
month = feb,
year = "1983",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:20 MDT 2011",
bibsource = "http://www.fq.math.ca/21-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/21-1/shannon.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Godsil:1983:PFT,
author = "Christopher D. Godsil and Reinhard Razen",
title = "A Property of {Fibonacci} and {Tribonacci} Numbers",
journal = j-FIB-QUART,
volume = "21",
number = "1",
pages = "13--17",
month = feb,
year = "1983",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:20 MDT 2011",
bibsource = "http://www.fq.math.ca/21-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/21-1/godsil.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wall:1983:UHN,
author = "Charles R. Wall",
title = "Unitary Harmonic Numbers",
journal = j-FIB-QUART,
volume = "21",
number = "1",
pages = "18--25",
month = feb,
year = "1983",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:20 MDT 2011",
bibsource = "http://www.fq.math.ca/21-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/21-1/wall.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Garcia:1983:GEF,
author = "P. G. Garcia and Steve Ligh",
title = "A Generalization of {Euler}'s $ \phi $-Function",
journal = j-FIB-QUART,
volume = "21",
number = "1",
pages = "26--28",
month = feb,
year = "1983",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:20 MDT 2011",
bibsource = "http://www.fq.math.ca/21-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/21-1/garcia.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Georghiou:1983:HSZ,
author = "C. Georghiou and A. N. Philippou",
title = "Harmonic Sums and the Zeta Function",
journal = j-FIB-QUART,
volume = "21",
number = "1",
pages = "29--36",
month = feb,
year = "1983",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:20 MDT 2011",
bibsource = "http://www.fq.math.ca/21-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/21-1/georghiou.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{deBouvere:1983:IEG,
author = "Karel L. de Bouv{\`e}re and Regina E. Lathrop",
title = "Injectivity of Extended Generalized {Fibonacci}
Sequences",
journal = j-FIB-QUART,
volume = "21",
number = "1",
pages = "37--52",
month = feb,
year = "1983",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:20 MDT 2011",
bibsource = "http://www.fq.math.ca/21-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/21-1/debouvere.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kimberling:1983:OFZ,
author = "Clark Kimberling",
title = "One-Free {Zeckendorf} Sums",
journal = j-FIB-QUART,
volume = "21",
number = "1",
pages = "53--57",
month = feb,
year = "1983",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:20 MDT 2011",
bibsource = "http://www.fq.math.ca/21-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/21-1/kimberling.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Zaks:1983:GPN,
author = "Shmuel Zaks",
title = "Generalized Profile Numbers",
journal = j-FIB-QUART,
volume = "21",
number = "1",
pages = "58--61",
month = feb,
year = "1983",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:20 MDT 2011",
bibsource = "http://www.fq.math.ca/21-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/21-1/zaks.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lehmer:1983:PPH,
author = "D. H. Lehmer and Emma Lehmer",
title = "Properties of Polynomials having {Fibonacci} Numbers
for Coefficients",
journal = j-FIB-QUART,
volume = "21",
number = "1",
pages = "62--64",
month = feb,
year = "1983",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:20 MDT 2011",
bibsource = "http://www.fq.math.ca/21-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/21-1/lehmer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Egecioglu:1983:PCN,
author = "{\"O}mer Egecio{\u{g}}lu",
title = "The Parity of the {Catalan} Number via Lattice Paths",
journal = j-FIB-QUART,
volume = "21",
number = "1",
pages = "65--66",
month = feb,
year = "1983",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:20 MDT 2011",
bibsource = "http://www.fq.math.ca/21-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/21-1/egecioglu.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1983:EPSa,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "21",
number = "1",
pages = "67--73",
month = feb,
year = "1983",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:20 MDT 2011",
bibsource = "http://www.fq.math.ca/21-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/21-1/elementary21-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1983:APSa,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "21",
number = "1",
pages = "74--81",
month = feb,
year = "1983",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:20 MDT 2011",
bibsource = "http://www.fq.math.ca/21-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/21-1/advanced21-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Philippou:1983:NFS,
author = "Andreas N. Philippou",
title = "A Note on the {Fibonacci} Sequence of Order {$K$} and
the Multinomial Coefficients",
journal = j-FIB-QUART,
volume = "21",
number = "2",
pages = "82--86",
month = may,
year = "1983",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:22 MDT 2011",
bibsource = "http://www.fq.math.ca/21-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/21-2/philippou.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ehrhart:1983:AHF,
author = "E. Ehrhart",
title = "Associated Hyperbolic and {Fibonacci} Identities",
journal = j-FIB-QUART,
volume = "21",
number = "2",
pages = "87--96",
month = may,
year = "1983",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:22 MDT 2011",
bibsource = "http://www.fq.math.ca/21-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/21-2/ehrhart.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Darbro:1983:SGS,
author = "Wesley A. Darbro and Georg von Tiesenhausen",
title = "Sequences Generated by Self-Replicating Systems",
journal = j-FIB-QUART,
volume = "21",
number = "2",
pages = "97--106",
month = may,
year = "1983",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:22 MDT 2011",
bibsource = "http://www.fq.math.ca/21-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/21-2/darbro.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Monzingo:1983:WSP,
author = "M. G. Monzingo",
title = "Why are 8:18 and 10:09 Such Pleasant Times?",
journal = j-FIB-QUART,
volume = "21",
number = "2",
pages = "107--110",
month = may,
year = "1983",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:22 MDT 2011",
bibsource = "http://www.fq.math.ca/21-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/21-2/monzingo.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cohen:1983:ESE,
author = "M. E. Cohen and D. L. Hudson",
title = "On Exponential Series Expansions and Convolutions",
journal = j-FIB-QUART,
volume = "21",
number = "2",
pages = "111--117",
month = may,
year = "1983",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:22 MDT 2011",
bibsource = "http://www.fq.math.ca/21-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/21-2/cohen.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horibe:1983:NFT,
author = "Yasuichi Horibe",
title = "Notes on {Fibonacci} Trees and Their Optimality",
journal = j-FIB-QUART,
volume = "21",
number = "2",
pages = "118--128",
month = may,
year = "1983",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:22 MDT 2011",
bibsource = "http://www.fq.math.ca/21-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/21-2/horibe.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Girse:1983:NFC,
author = "Robert D. Girse",
title = "A Note on {Fibonacci} Cubature",
journal = j-FIB-QUART,
volume = "21",
number = "2",
pages = "129--131",
month = may,
year = "1983",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:22 MDT 2011",
bibsource = "http://www.fq.math.ca/21-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/21-2/girse.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ainsworth:1983:FPP,
author = "O. R. Ainsworth and J. Neggers",
title = "A Family of Polynomials and Powers of the Secant",
journal = j-FIB-QUART,
volume = "21",
number = "2",
pages = "132--138",
month = may,
year = "1983",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:22 MDT 2011",
bibsource = "http://www.fq.math.ca/21-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/21-2/ainsworth.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hale:1983:VNF,
author = "David R. Hale",
title = "A Variant of {Nim} and a Function Defined by
{Fibonacci} Representation",
journal = j-FIB-QUART,
volume = "21",
number = "2",
pages = "139--142",
month = may,
year = "1983",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:22 MDT 2011",
bibsource = "http://www.fq.math.ca/21-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/21-2/hale.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lawton:1983:KTR,
author = "Wayne M. Lawton",
title = "{Kronecker}'s Theorem and Rational Approximation of
Algebraic Numbers",
journal = j-FIB-QUART,
volume = "21",
number = "2",
pages = "143--146",
month = may,
year = "1983",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:22 MDT 2011",
bibsource = "http://www.fq.math.ca/21-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/21-2/lawton.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1983:EPSb,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "21",
number = "2",
pages = "147--152",
month = may,
year = "1983",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:22 MDT 2011",
bibsource = "http://www.fq.math.ca/21-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/21-2/elementary21-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1983:APSb,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "21",
number = "2",
pages = "153--161",
month = may,
year = "1983",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:22 MDT 2011",
bibsource = "http://www.fq.math.ca/21-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/21-2/advanced21-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Singh:1983:PSE,
author = "S. N. Singh and B. K. Rai",
title = "Properties of Some Extended {Bernoulli} and {Euler}
Polynomials",
journal = j-FIB-QUART,
volume = "21",
number = "3",
pages = "162--172",
month = aug,
year = "1983",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:24 MDT 2011",
bibsource = "http://www.fq.math.ca/21-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/21-3/singh.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Werner:1983:CPH,
author = "Wilhelm Werner",
title = "Comment on Problem {H-315}",
journal = j-FIB-QUART,
volume = "21",
number = "3",
pages = "173--??",
month = aug,
year = "1983",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:24 MDT 2011",
bibsource = "http://www.fq.math.ca/21-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/21-3/werner-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bange:1983:FGG,
author = "David W. Bange and Anthony E. Barkauskas",
title = "{Fibonacci} Graceful Graphs",
journal = j-FIB-QUART,
volume = "21",
number = "3",
pages = "174--188",
month = aug,
year = "1983",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:24 MDT 2011",
bibsource = "http://www.fq.math.ca/21-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/21-3/bange.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Erlebach:1983:EFS,
author = "Lee Erlebach and William Yslas V{\'e}lez",
title = "Equiprobability in the {Fibonacci} Sequence",
journal = j-FIB-QUART,
volume = "21",
number = "3",
pages = "189--191",
month = aug,
year = "1983",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:24 MDT 2011",
bibsource = "http://www.fq.math.ca/21-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/21-3/erlebach.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Josef:1983:LT,
author = "S{\'a}na Josef",
title = "{Lucas} Triangle",
journal = j-FIB-QUART,
volume = "21",
number = "3",
pages = "192--195",
month = aug,
year = "1983",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:24 MDT 2011",
bibsource = "http://www.fq.math.ca/21-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/21-3/josef.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hock:1983:ODB,
author = "J. L. Hock and R. B. McQuistan",
title = "The Occupational Degeneracy for $ \lambda $-Bell
Particles on a Saturated {$ \lambda \times N $} Lattice
Space",
journal = j-FIB-QUART,
volume = "21",
number = "3",
pages = "196--202",
month = aug,
year = "1983",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:24 MDT 2011",
bibsource = "http://www.fq.math.ca/21-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/21-3/hock.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Deo:1983:PGT,
author = "Narsingh Deo and Michael Quinn",
title = "{Pascal} Graphs and Their Properties",
journal = j-FIB-QUART,
volume = "21",
number = "3",
pages = "203--214",
month = aug,
year = "1983",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:24 MDT 2011",
bibsource = "http://www.fq.math.ca/21-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/21-3/deo.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Robbins:1983:FNW,
author = "Neville Robbins",
title = "On {Fibonacci} Numbers Which are Powers: {II}",
journal = j-FIB-QUART,
volume = "21",
number = "3",
pages = "215--218",
month = aug,
year = "1983",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:24 MDT 2011",
bibsource = "http://www.fq.math.ca/21-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/21-3/robbins.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kirschenhofer:1983:FNG,
author = "Peter Kirschenhofer and Helmut Prodinger and Robert F.
Tichy",
title = "{Fibonacci} Numbers of Graphs: {II}",
journal = j-FIB-QUART,
volume = "21",
number = "3",
pages = "219--228",
month = aug,
year = "1983",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:24 MDT 2011",
bibsource = "http://www.fq.math.ca/21-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/21-3/kirschenhofer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Neumann:1983:CSS,
author = "B. H. Neumann and L. G. Wilson",
title = "Corrigenda to {``Some Sequences Like Fibonacci's''}",
journal = j-FIB-QUART,
volume = "21",
number = "3",
pages = "229--??",
month = aug,
year = "1983",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:24 MDT 2011",
bibsource = "http://www.fq.math.ca/21-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "See \cite{Neumann:1979:SSL}.",
URL = "http://www.fq.math.ca/Scanned/21-3/neumann.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1983:EPSc,
author = "A. P. Hillman and G. C. Padilla",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "21",
number = "3",
pages = "230--235",
month = aug,
year = "1983",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:24 MDT 2011",
bibsource = "http://www.fq.math.ca/21-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/21-3/elementary21-3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1983:APSc,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "21",
number = "3",
pages = "236--241",
month = aug,
year = "1983",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:24 MDT 2011",
bibsource = "http://www.fq.math.ca/21-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/21-3/advanced21-3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Uppuluri:1983:WTG,
author = "V. R. R. Uppuluri and S. A. Patil",
title = "Waiting Times and Generalized {Fibonacci} Sequences",
journal = j-FIB-QUART,
volume = "21",
number = "4",
pages = "242--249",
month = nov,
year = "1983",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:26 MDT 2011",
bibsource = "http://www.fq.math.ca/21-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/21-4/uppuluri.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Selleck:1983:PSC,
author = "John H. Selleck",
title = "Powers of {$T$} and {Soddy} Circles",
journal = j-FIB-QUART,
volume = "21",
number = "4",
pages = "250--252",
month = nov,
year = "1983",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:26 MDT 2011",
bibsource = "http://www.fq.math.ca/21-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/21-4/selleck.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rosenberger:1983:SDP,
author = "Gerhard Rosenberger",
title = "On Some Divisibility Properties of {Fibonacci} and
Related Numbers",
journal = j-FIB-QUART,
volume = "21",
number = "4",
pages = "253--258",
month = nov,
year = "1983",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:26 MDT 2011",
bibsource = "http://www.fq.math.ca/21-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/21-4/rosenberger.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brillhart:1983:LE,
author = "John Brillhart",
title = "Letter to the editor: {``Properties of polynomials
having Fibonacci numbers for coefficients'' [Fibonacci
Quart. {\bf 21} (1983), no. 1, 62--64; MR 84f:10018a]
by D. H. Lehmer and E. Lehmer}",
journal = j-FIB-QUART,
volume = "21",
number = "4",
pages = "259--259",
month = nov,
year = "1983",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
MRclass = "10A40 (10M05)",
MRnumber = "723785",
MRreviewer = "Neville Robbins",
bibdate = "Thu Oct 20 18:00:26 MDT 2011",
bibsource = "http://www.fq.math.ca/21-4.html;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/21-4/letter.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Malik:1983:SEO,
author = "H. N. Malik",
title = "On the Solution of {$ \{ E^2 + (\lambda p - 2) E + (1
- \lambda p - \lambda^2 q) \}^m G_n = n^k $} by
Expansions and Operators",
journal = j-FIB-QUART,
volume = "21",
number = "4",
pages = "260--265",
month = nov,
year = "1983",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:26 MDT 2011",
bibsource = "http://www.fq.math.ca/21-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/21-4/malik.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Robbins:1983:FNF,
author = "Neville Robbins",
title = "On {Fibonacci} Numbers of the Form {$ P X^2 $}, Where
{$P$} is Prime",
journal = j-FIB-QUART,
volume = "21",
number = "4",
pages = "266--271",
month = nov,
year = "1983",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:26 MDT 2011",
bibsource = "http://www.fq.math.ca/21-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/21-4/robbins.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Colman:1983:GMD,
author = "W. J. A. Colman",
title = "A General Method for Determining a Closed Formula for
the Number of Partitions of the Integer $n$ into $m$
Positive Integers for Small Values of $m$",
journal = j-FIB-QUART,
volume = "21",
number = "4",
pages = "272--284",
month = nov,
year = "1983",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:26 MDT 2011",
bibsource = "http://www.fq.math.ca/21-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/21-4/colman.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Baica:1983:DFN,
author = "Malvina Baica",
title = "$n$-Dimensional {Fibonacci} Numbers and Their
Applications",
journal = j-FIB-QUART,
volume = "21",
number = "4",
pages = "285--301",
month = nov,
year = "1983",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:26 MDT 2011",
bibsource = "http://www.fq.math.ca/21-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/21-4/baica.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wu:1983:CPD,
author = "T. C. Wu",
title = "Counting the Profiles in Domino Tiling",
journal = j-FIB-QUART,
volume = "21",
number = "4",
pages = "302--303",
month = nov,
year = "1983",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:26 MDT 2011",
bibsource = "http://www.fq.math.ca/21-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/21-4/wu.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Morgan:1983:FSM,
author = "Karolyn A. Morgan",
title = "The {Fibonacci} Sequence {$ F_n $} Modulo {$ L_m $}",
journal = j-FIB-QUART,
volume = "21",
number = "4",
pages = "304--305",
month = nov,
year = "1983",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:26 MDT 2011",
bibsource = "http://www.fq.math.ca/21-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/21-4/morgan.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1983:EPSd,
author = "A. P. Hillman and G. C. Padalla and C. R. Wall",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "21",
number = "4",
pages = "306--311",
month = nov,
year = "1983",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:26 MDT 2011",
bibsource = "http://www.fq.math.ca/21-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/21-4/elementary21-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1983:APSd,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "21",
number = "4",
pages = "312--317",
month = nov,
year = "1983",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:26 MDT 2011",
bibsource = "http://www.fq.math.ca/21-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/21-4/advanced21-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1983:CA,
author = "Anonymous",
title = "Conference Announcement",
journal = j-FIB-QUART,
volume = "21",
number = "4",
pages = "318--??",
month = nov,
year = "1983",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:26 MDT 2011",
bibsource = "http://www.fq.math.ca/21-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/21-4/announcement.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1983:VI,
author = "Anonymous",
title = "Volume Index",
journal = j-FIB-QUART,
volume = "21",
number = "4",
pages = "319--??",
month = nov,
year = "1983",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:26 MDT 2011",
bibsource = "http://www.fq.math.ca/21-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/21-4/index.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1984:APP,
author = "V. E. {Hoggatt, Jr.} and Marjorie Bicknell-Johnson",
title = "Additive Partition of the Positive Integers and
Generalized {Fibonacci} Representations",
journal = j-FIB-QUART,
volume = "22",
number = "1",
pages = "2--21",
month = feb,
year = "1984",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:28 MDT 2011",
bibsource = "http://www.fq.math.ca/22-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/22-1/hoggatt.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bergum:1984:AGG,
author = "Gerald E. Bergum",
title = "Addenda to Geometry of a Generalized {Simson}'s
Formula",
journal = j-FIB-QUART,
volume = "22",
number = "1",
pages = "22--28",
month = feb,
year = "1984",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:28 MDT 2011",
bibsource = "http://www.fq.math.ca/22-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/22-1/bergum.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Phares:1984:GSF,
author = "Alain J. Phares",
title = "General Solution of a {Fibonacci}-Like Recursion
Relation and Applications",
journal = j-FIB-QUART,
volume = "22",
number = "1",
pages = "29--41",
month = feb,
year = "1984",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:28 MDT 2011",
bibsource = "http://www.fq.math.ca/22-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/22-1/phares.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Fuchs:1984:PCC,
author = "Eduard Fuchs",
title = "Partitions, Compositions and Cyclomatic Number of
Function Lattices",
journal = j-FIB-QUART,
volume = "22",
number = "1",
pages = "42--49",
month = feb,
year = "1984",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:28 MDT 2011",
bibsource = "http://www.fq.math.ca/22-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/22-1/fuchs.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{teRiele:1984:RCH,
author = "H. J. J. te Riele",
title = "Rules for Constructing Hyperperfect Numbers",
journal = j-FIB-QUART,
volume = "22",
number = "1",
pages = "50--60",
month = feb,
year = "1984",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:28 MDT 2011",
bibsource = "http://www.fq.math.ca/22-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/22-1/teriele.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Pethe:1984:LPS,
author = "S. Pethe",
title = "On {Lucas} Polynomials and Some Summation Formulas for
{Chebychev} Polynomial Sequences via Them",
journal = j-FIB-QUART,
volume = "22",
number = "1",
pages = "61--69",
month = feb,
year = "1984",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:28 MDT 2011",
bibsource = "http://www.fq.math.ca/22-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/22-1/pethe.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lombardi:1984:GMS,
author = "Oreste W. Lombardi and Margaret A. Lombardi",
title = "The Golden Mean in the Solar System",
journal = j-FIB-QUART,
volume = "22",
number = "1",
pages = "70--75",
month = feb,
year = "1984",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:28 MDT 2011",
bibsource = "http://www.fq.math.ca/22-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/22-1/lombardi.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Nagasaka:1984:DPR,
author = "Kenji Nagasaka",
title = "Distribution Property of Recursive Sequences Defined
by $ u_{n + 1} \equiv u_n + u_n^{-1} \pmod {m} $",
journal = j-FIB-QUART,
volume = "22",
number = "1",
pages = "76--81",
month = feb,
year = "1984",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:28 MDT 2011",
bibsource = "http://www.fq.math.ca/22-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/22-1/nagasaka.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1984:FRCa,
author = "Anonymous",
title = "{Fibonacci Research Conference} Announcement",
journal = j-FIB-QUART,
volume = "22",
number = "1",
pages = "82--??",
month = feb,
year = "1984",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:28 MDT 2011",
bibsource = "http://www.fq.math.ca/22-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/22-1/announcement.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1984:A,
author = "Anonymous",
title = "Acknowledgments",
journal = j-FIB-QUART,
volume = "22",
number = "1",
pages = "83--??",
month = feb,
year = "1984",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:28 MDT 2011",
bibsource = "http://www.fq.math.ca/22-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/22-1/acknowledgments.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1984:EPSa,
author = "A. P. Hillman and Gloria C. Padilla and Charles R.
Wall",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "22",
number = "1",
pages = "84--88",
month = feb,
year = "1984",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:28 MDT 2011",
bibsource = "http://www.fq.math.ca/22-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/22-1/elementary22-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1984:APSa,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "22",
number = "1",
pages = "89--97",
month = feb,
year = "1984",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:28 MDT 2011",
bibsource = "http://www.fq.math.ca/22-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/22-1/advanced22-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Somer:1984:GHO,
author = "Lawrence Somer",
title = "The Generation of Higher-Order Linear Recurrences from
Second-Order Linear Recurrences",
journal = j-FIB-QUART,
volume = "22",
number = "2",
pages = "98--100",
month = may,
year = "1984",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:30 MDT 2011",
bibsource = "http://www.fq.math.ca/22-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/22-2/somer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Meek:1984:SIR,
author = "D. S. Meek and G. H. J. {Van Rees}",
title = "The Solution of an Iterated Recurrence",
journal = j-FIB-QUART,
volume = "22",
number = "2",
pages = "101--104",
month = may,
year = "1984",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:30 MDT 2011",
bibsource = "http://www.fq.math.ca/22-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/22-2/meek.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{McLaughlin:1984:DFI,
author = "William I. McLaughlin and Sylvia A. Lundy",
title = "Digit Functions of Integer Sequences",
journal = j-FIB-QUART,
volume = "22",
number = "2",
pages = "105--115",
month = may,
year = "1984",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:30 MDT 2011",
bibsource = "http://www.fq.math.ca/22-2.html;
https://www.math.utah.edu/pub/tex/bib/benfords-law.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/22-2/mclaughlin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Heed:1984:WPZ,
author = "Joseph J. Heed",
title = "{Wieferichs} and the Problems $z(p^2) = z(p)$",
journal = j-FIB-QUART,
volume = "22",
number = "2",
pages = "116--118",
month = may,
year = "1984",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:30 MDT 2011",
bibsource = "http://www.fq.math.ca/22-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/22-2/heed.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cacoullos:1984:MSN,
author = "T. Cacoullos and H. Papageorgiou",
title = "Multiparameter {Stirling} and {$C$}-Numbers:
Recurrences and Applications",
journal = j-FIB-QUART,
volume = "22",
number = "2",
pages = "119--133",
month = may,
year = "1984",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:30 MDT 2011",
bibsource = "http://www.fq.math.ca/22-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/22-2/cacoullos.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Er:1984:MFN,
author = "M. C. Er",
title = "The Matrices of {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "22",
number = "2",
pages = "134--139",
month = may,
year = "1984",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:30 MDT 2011",
bibsource = "http://www.fq.math.ca/22-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/22-2/er.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hagis:1984:LBU,
author = "Peter {Hagis, Jr.}",
title = "Lower Bounds for Unitary Multiperfect Numbers",
journal = j-FIB-QUART,
volume = "22",
number = "2",
pages = "140--143",
month = may,
year = "1984",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:30 MDT 2011",
bibsource = "http://www.fq.math.ca/22-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/22-2/hagis.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{StJohn:1984:APZ,
author = "Peter H. {St. John}",
title = "On the Asymptotic Proportions of Zeros and Ones in
{Fibonacci} Sequences",
journal = j-FIB-QUART,
volume = "22",
number = "2",
pages = "144--145",
month = may,
year = "1984",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:30 MDT 2011",
bibsource = "http://www.fq.math.ca/22-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/22-2/stjohn.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bollinger:1984:FSP,
author = "Richard C. Bollinger",
title = "{Fibonacci} $k$-Sequences, {Pascal-$T$} Triangles, and
$k$-In-a-Row Problems",
journal = j-FIB-QUART,
volume = "22",
number = "2",
pages = "146--151",
month = may,
year = "1984",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:30 MDT 2011",
bibsource = "http://www.fq.math.ca/22-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/22-2/bollinger.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Boklan:1984:NG,
author = "Kent D. Boklan",
title = "The $n$-Number Game",
journal = j-FIB-QUART,
volume = "22",
number = "2",
pages = "152--155",
month = may,
year = "1984",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:30 MDT 2011",
bibsource = "http://www.fq.math.ca/22-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/22-2/boklan.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Howard:1984:WAS,
author = "F. T. Howard",
title = "Weighted Associated {Stirling} Numbers",
journal = j-FIB-QUART,
volume = "22",
number = "2",
pages = "156--165",
month = may,
year = "1984",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:30 MDT 2011",
bibsource = "http://www.fq.math.ca/22-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/22-2/howard.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Al-Salam:1984:SOF,
author = "Nadhla A. Al-Salam",
title = "Some Operational Formulas for the $q$-{Laguerre}
Polynomials",
journal = j-FIB-QUART,
volume = "22",
number = "2",
pages = "166--170",
month = may,
year = "1984",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:30 MDT 2011",
bibsource = "http://www.fq.math.ca/22-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/22-2/alsalam.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Dodd:1984:NFF,
author = "Fred Dodd",
title = "The Number Field {$ Q(\sqrt {5}) $} and the
{Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "22",
number = "2",
pages = "171--177",
month = may,
year = "1984",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:30 MDT 2011",
bibsource = "http://www.fq.math.ca/22-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/22-2/dodd.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Chang:1984:NAN,
author = "Derek K. Chang",
title = "A Note on {Apery} Numbers",
journal = j-FIB-QUART,
volume = "22",
number = "2",
pages = "178--180",
month = may,
year = "1984",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:30 MDT 2011",
bibsource = "http://www.fq.math.ca/22-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/22-2/chang.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1984:FRCb,
author = "Anonymous",
title = "{Fibonacci Research Conference} Announcement",
journal = j-FIB-QUART,
volume = "22",
number = "2",
pages = "181--182",
month = may,
year = "1984",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:30 MDT 2011",
bibsource = "http://www.fq.math.ca/22-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/22-2/announcement.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1984:EPSb,
author = "A. P. Hillman and Gloria C. Padilla and Charles R.
Wall",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "22",
number = "2",
pages = "183--187",
month = may,
year = "1984",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:30 MDT 2011",
bibsource = "http://www.fq.math.ca/22-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/22-2/elementary22-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1984:APSb,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "22",
number = "2",
pages = "188--193",
month = may,
year = "1984",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:30 MDT 2011",
bibsource = "http://www.fq.math.ca/22-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/22-2/advanced22-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Selmer:1984:NSP,
author = "Ernst S. Selmer",
title = "A Note on {Somer}'s Paper on Linear Recurrences",
journal = j-FIB-QUART,
volume = "22",
number = "3",
pages = "194--195",
month = aug,
year = "1984",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:33 MDT 2011",
bibsource = "http://www.fq.math.ca/22-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/22-3/selmer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ligomenides:1984:MFC,
author = "P. Ligomenides and R. Newcomb",
title = "Multilevel {Fibonacci} Conversion and Addition",
journal = j-FIB-QUART,
volume = "22",
number = "3",
pages = "196--203",
month = aug,
year = "1984",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:33 MDT 2011",
bibsource = "http://www.fq.math.ca/22-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/22-3/ligomenides.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Er:1984:SFN,
author = "M. C. Er",
title = "Sums of {Fibonacci} Numbers by Matrix Methods",
journal = j-FIB-QUART,
volume = "22",
number = "3",
pages = "204--207",
month = aug,
year = "1984",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:33 MDT 2011",
bibsource = "http://www.fq.math.ca/22-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/22-3/er.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Arce:1984:FRS,
author = "Gonzalo R. Arce",
title = "{Fibonacci} and Related Sequences in Digital
Filtering",
journal = j-FIB-QUART,
volume = "22",
number = "3",
pages = "208--217",
month = aug,
year = "1984",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:33 MDT 2011",
bibsource = "http://www.fq.math.ca/22-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/22-3/arce.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ehrhart:1984:EI,
author = "E. Ehrhart",
title = "{Euler}'s Integers",
journal = j-FIB-QUART,
volume = "22",
number = "3",
pages = "218--228",
month = aug,
year = "1984",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:33 MDT 2011",
bibsource = "http://www.fq.math.ca/22-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/22-3/ehrhart.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lin:1984:GSD,
author = "Pin-Yen Lin",
title = "The General Solution to the Decimal Fraction of
{Fibonacci} Series",
journal = j-FIB-QUART,
volume = "22",
number = "3",
pages = "229--234",
month = aug,
year = "1984",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:33 MDT 2011",
bibsource = "http://www.fq.math.ca/22-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/22-3/lin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Sun:1984:EPG,
author = "Hugo S. Sun and M. E. Cohen",
title = "An Easy Proof of the {Greenwood--Gleason} Evaluation
of the {Ramsey} Number {$ R(3, 3, 3) $}",
journal = j-FIB-QUART,
volume = "22",
number = "3",
pages = "235--238",
month = aug,
year = "1984",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:33 MDT 2011",
bibsource = "http://www.fq.math.ca/22-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/22-3/sun.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Shannon:1984:SAP,
author = "A. G. Shannon",
title = "Some Asymptotic Properties of Generalized {Fibonacci}
Numbers",
journal = j-FIB-QUART,
volume = "22",
number = "3",
pages = "239--243",
month = aug,
year = "1984",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:33 MDT 2011",
bibsource = "http://www.fq.math.ca/22-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/22-3/shannon1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bruce:1984:MTS,
author = "Ian Bruce",
title = "A Modified {Tribonacci} Sequence",
journal = j-FIB-QUART,
volume = "22",
number = "3",
pages = "244--246",
month = aug,
year = "1984",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:33 MDT 2011",
bibsource = "http://www.fq.math.ca/22-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/22-3/bruce.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Shannon:1984:ICS,
author = "A. G. Shannon and A. F. Horadam and Gerald E. Bergum",
title = "Infinite Classes of Sequence-Generated Circles",
journal = j-FIB-QUART,
volume = "22",
number = "3",
pages = "247--251",
month = aug,
year = "1984",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:33 MDT 2011",
bibsource = "http://www.fq.math.ca/22-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/22-3/shannon2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Levine:1984:GLG,
author = "Naomi Levine",
title = "The Goose That Laid the Golden Egg",
journal = j-FIB-QUART,
volume = "22",
number = "3",
pages = "252--254",
month = aug,
year = "1984",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:33 MDT 2011",
bibsource = "http://www.fq.math.ca/22-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/22-3/levine.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hopkins:1984:SIA,
author = "Glenn Hopkins and William Staton",
title = "Some Identities Arising from the {Fibonacci} Numbers
of Certain Graphs",
journal = j-FIB-QUART,
volume = "22",
number = "3",
pages = "255--258",
month = aug,
year = "1984",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:33 MDT 2011",
bibsource = "http://www.fq.math.ca/22-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/22-3/hopkins.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ando:1984:NF,
author = "Shiro Ando",
title = "On the Numbers of the Form $ a n^2 + b n $",
journal = j-FIB-QUART,
volume = "22",
number = "3",
pages = "259--260",
month = aug,
year = "1984",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:33 MDT 2011",
bibsource = "http://www.fq.math.ca/22-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/22-3/ando.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Popov:1984:CSR,
author = "Blagoj S. Popov",
title = "On Certain Series of Reciprocals of {Fibonacci}
Numbers",
journal = j-FIB-QUART,
volume = "22",
number = "3",
pages = "261--265",
month = aug,
year = "1984",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:33 MDT 2011",
bibsource = "http://www.fq.math.ca/22-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/22-3/popov.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlitz:1984:ART,
author = "L. Carlitz",
title = "An Application of the Reciprocity Theorem for
{Dedekind} Sums",
journal = j-FIB-QUART,
volume = "22",
number = "3",
pages = "266--269",
month = aug,
year = "1984",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:33 MDT 2011",
bibsource = "http://www.fq.math.ca/22-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/22-3/carlitz.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:1984:CCA,
author = "A. F. Horadam",
title = "Coaxal Circles Associated with Recurrence-Generated
Sequences",
journal = j-FIB-QUART,
volume = "22",
number = "3",
pages = "270--272",
month = aug,
year = "1984",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:33 MDT 2011",
bibsource = "http://www.fq.math.ca/22-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/22-3/horadam-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1984:EPSc,
author = "A. P. Hillman and Gloria C. Padilla and Charles R.
Wall",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "22",
number = "3",
pages = "273--278",
month = aug,
year = "1984",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:33 MDT 2011",
bibsource = "http://www.fq.math.ca/22-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/22-3/elementary22-3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1984:APSc,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "22",
number = "3",
pages = "279--289",
month = aug,
year = "1984",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:33 MDT 2011",
bibsource = "http://www.fq.math.ca/22-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/22-3/advanced22-3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bisht:1984:SCP,
author = "C. S. Bisht",
title = "Some Congruence Properties of Generalized {Lucas}
Integral Sequences",
journal = j-FIB-QUART,
volume = "22",
number = "4",
pages = "290--295",
month = nov,
year = "1984",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:35 MDT 2011",
bibsource = "http://www.fq.math.ca/22-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/22-4/bisht.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Charalambides:1984:WSO,
author = "Ch. A. Charalambides",
title = "On Weighted {Stirling} and Other Related Numbers and
Some Combinatorial Applications",
journal = j-FIB-QUART,
volume = "22",
number = "4",
pages = "296--309",
month = nov,
year = "1984",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:35 MDT 2011",
bibsource = "http://www.fq.math.ca/22-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/22-4/charalambides.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Downey:1984:FNR,
author = "Peter J. Downey and Ralph E. Griswold",
title = "On a Family of Nested Recurrences",
journal = j-FIB-QUART,
volume = "22",
number = "4",
pages = "310--317",
month = nov,
year = "1984",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:35 MDT 2011",
bibsource = "http://www.fq.math.ca/22-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/22-4/downey.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoft:1984:OTR,
author = "Hartmut H{\"o}ft and Margret H{\"o}ft",
title = "An Order-Theoretic Representation of the Polygonal
Numbers",
journal = j-FIB-QUART,
volume = "22",
number = "4",
pages = "318--323",
month = nov,
year = "1984",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:35 MDT 2011",
bibsource = "http://www.fq.math.ca/22-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/22-4/hoft.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:1984:PNC,
author = "A. F. Horadam",
title = "{Pell} Numbers and Coaxal Circles",
journal = j-FIB-QUART,
volume = "22",
number = "4",
pages = "324--326",
month = nov,
year = "1984",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:35 MDT 2011",
bibsource = "http://www.fq.math.ca/22-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/22-4/horadam.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Spickerman:1984:BFR,
author = "W. R. Spickerman and R. N. Joyner",
title = "{Binet}'s Formula for the Recursive Sequence of Order
{$K$}",
journal = j-FIB-QUART,
volume = "22",
number = "4",
pages = "327--331",
month = nov,
year = "1984",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:35 MDT 2011",
bibsource = "http://www.fq.math.ca/22-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/22-4/spickerman.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Shallit:1984:SPP,
author = "J. O. Shallit",
title = "Some Predictable {Pierce} Expansions",
journal = j-FIB-QUART,
volume = "22",
number = "4",
pages = "332--335",
month = nov,
year = "1984",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:35 MDT 2011",
bibsource = "http://www.fq.math.ca/22-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/22-4/shallit1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Walton:1984:GPP,
author = "J. E. Walton and A. F. Horadam",
title = "Generalized {Pell} Polynomials and Other Polynomials",
journal = j-FIB-QUART,
volume = "22",
number = "4",
pages = "336--339",
month = nov,
year = "1984",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:35 MDT 2011",
bibsource = "http://www.fq.math.ca/22-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/22-4/walton.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Robbins:1984:PNF,
author = "Neville Robbins",
title = "On {Pell} Numbers of the form {$ P X^2 $}, Where {$P$}
is Prime",
journal = j-FIB-QUART,
volume = "22",
number = "4",
pages = "340--348",
month = nov,
year = "1984",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:35 MDT 2011",
bibsource = "http://www.fq.math.ca/22-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/22-4/robbins.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wall:1984:FLS,
author = "Charles R. Wall",
title = "A {Fibonacci}-Like Sequence of Abundant Numbers",
journal = j-FIB-QUART,
volume = "22",
number = "4",
pages = "349--??",
month = nov,
year = "1984",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:35 MDT 2011",
bibsource = "http://www.fq.math.ca/22-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/22-4/wall.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Chrysaphinou:1984:NCI,
author = "Ourania Chrysaphinou",
title = "A Note on the Cycle Indicator",
journal = j-FIB-QUART,
volume = "22",
number = "4",
pages = "350--353",
month = nov,
year = "1984",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:35 MDT 2011",
bibsource = "http://www.fq.math.ca/22-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/22-4/chrysaphinou.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Schoen:1984:HGA,
author = "Robert Schoen",
title = "Harmonic, Geometric, and Arithmetic Means in
Generalized {Fibonacci} Sequences",
journal = j-FIB-QUART,
volume = "22",
number = "4",
pages = "354--357",
month = nov,
year = "1984",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:35 MDT 2011",
bibsource = "http://www.fq.math.ca/22-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/22-4/schoen.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{DeLeon:1984:PRC,
author = "M. J. DeLeon",
title = "$n$ th Power Residues Congruent to One",
journal = j-FIB-QUART,
volume = "22",
number = "4",
pages = "358--364",
month = nov,
year = "1984",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:35 MDT 2011",
bibsource = "http://www.fq.math.ca/22-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/22-4/deleon.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hagis:1984:LE,
author = "Peter {Hagis, Jr.} and Graham Lord",
title = "Letter to the Editor",
journal = j-FIB-QUART,
volume = "22",
number = "4",
pages = "365--??",
month = nov,
year = "1984",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:35 MDT 2011",
bibsource = "http://www.fq.math.ca/22-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/22-4/letter.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wall:1984:R,
author = "Charles R. Wall",
title = "Response",
journal = j-FIB-QUART,
volume = "22",
number = "4",
pages = "365--??",
month = nov,
year = "1984",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:35 MDT 2011",
bibsource = "http://www.fq.math.ca/22-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/22-4/response.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Shallit:1984:LRD,
author = "J. O. Shallit and J. P. Yamron",
title = "On Linear Recurrences and Divisibility by Primes",
journal = j-FIB-QUART,
volume = "22",
number = "4",
pages = "366--368",
month = nov,
year = "1984",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:35 MDT 2011",
bibsource = "http://www.fq.math.ca/22-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/22-4/shallit2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1984:EPSd,
author = "A. P. Hillman and Gloria C. Padilla",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "22",
number = "4",
pages = "369--373",
month = nov,
year = "1984",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:35 MDT 2011",
bibsource = "http://www.fq.math.ca/22-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/22-4/elementary22-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1984:APSd,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "22",
number = "4",
pages = "374--381",
month = nov,
year = "1984",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:35 MDT 2011",
bibsource = "http://www.fq.math.ca/22-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/22-4/advanced22-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1984:VI,
author = "Anonymous",
title = "Volume Index",
journal = j-FIB-QUART,
volume = "22",
number = "4",
pages = "382--??",
month = nov,
year = "1984",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:35 MDT 2011",
bibsource = "http://www.fq.math.ca/22-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/22-4/index.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1985:Aa,
author = "Anonymous",
title = "Acknowledgments",
journal = j-FIB-QUART,
volume = "23",
number = "1",
pages = "2--??",
month = feb,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:37 MDT 2011",
bibsource = "http://www.fq.math.ca/23-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-1/acknowledgments.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Zikan:1985:PCP,
author = "Karel Zikan and Edward Schmeichel",
title = "A Path Counting Problem in Digraphs",
journal = j-FIB-QUART,
volume = "23",
number = "1",
pages = "3--6",
month = feb,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:37 MDT 2011",
bibsource = "http://www.fq.math.ca/23-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-1/zikan.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:1985:PPL,
author = "A. F. Horadam and Bro. J. M. Mahon",
title = "{Pell} and {Pell--Lucas} Polynomials",
journal = j-FIB-QUART,
volume = "23",
number = "1",
pages = "7--20",
month = feb,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:37 MDT 2011",
bibsource = "http://www.fq.math.ca/23-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-1/horadam.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Atanassov:1985:NPG,
author = "Krassimir T. Atanassov and Liliya C. Atanassova and
Dimitar D. Sasselov",
title = "A New Perspective to the Generalization of the
{Fibonacci} Sequence",
journal = j-FIB-QUART,
volume = "23",
number = "1",
pages = "21--28",
month = feb,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:37 MDT 2011",
bibsource = "http://www.fq.math.ca/23-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-1/atanassov.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kohler:1985:GFF,
author = "G{\"u}nter K{\"o}hler",
title = "Generating Functions of {Fibonacci}-Like Sequences and
Decimal Expansions of Some Fractions",
journal = j-FIB-QUART,
volume = "23",
number = "1",
pages = "29--35",
month = feb,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:37 MDT 2011",
bibsource = "http://www.fq.math.ca/23-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-1/kohler.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Mohanty:1985:S,
author = "S. P. Mohanty and A. M. S. Ramasamy",
title = "On {$ P_{r, k} $} Sequences",
journal = j-FIB-QUART,
volume = "23",
number = "1",
pages = "36--44",
month = feb,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:37 MDT 2011",
bibsource = "http://www.fq.math.ca/23-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-1/mohanty.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kyriakoussis:1985:CCE,
author = "A. Kyriakoussis",
title = "A Congruence for a Class of Exponential Numbers",
journal = j-FIB-QUART,
volume = "23",
number = "1",
pages = "45--48",
month = feb,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:37 MDT 2011",
bibsource = "http://www.fq.math.ca/23-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-1/kyriakoyssis.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Stam:1985:RPR,
author = "A. J. Stam",
title = "Regeneration Points in Random Permutations",
journal = j-FIB-QUART,
volume = "23",
number = "1",
pages = "49--56",
month = feb,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:37 MDT 2011",
bibsource = "http://www.fq.math.ca/23-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-1/stam.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Pethe:1985:LFF,
author = "S. Pethe",
title = "On {Lucas} Fundamental Functions and {Chebychev}
Polynomial Sequences",
journal = j-FIB-QUART,
volume = "23",
number = "1",
pages = "57--65",
month = feb,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:37 MDT 2011",
bibsource = "http://www.fq.math.ca/23-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-1/pethe.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gould:1985:LTP,
author = "H. W. Gould and W. E. Greig",
title = "A {Lucas} Triangle Primality Criterion Dual to that of
{Mann--Shanks}",
journal = j-FIB-QUART,
volume = "23",
number = "1",
pages = "66--69",
month = feb,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:37 MDT 2011",
bibsource = "http://www.fq.math.ca/23-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-1/gould.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cohen:1985:ESR,
author = "G. L. Cohen and R. J. Williams",
title = "Extensions of Some Results Concerning Odd Perfect
Numbers",
journal = j-FIB-QUART,
volume = "23",
number = "1",
pages = "70--76",
month = feb,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:37 MDT 2011",
bibsource = "http://www.fq.math.ca/23-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-1/cohen.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wall:1985:TFN,
author = "Charles R. Wall",
title = "On Triangular {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "23",
number = "1",
pages = "77--79",
month = feb,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:37 MDT 2011",
bibsource = "http://www.fq.math.ca/23-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-1/wall1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wall:1985:GES,
author = "Charles R. Wall",
title = "Guessing Exact Solutions",
journal = j-FIB-QUART,
volume = "23",
number = "1",
pages = "80--??",
month = feb,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:37 MDT 2011",
bibsource = "http://www.fq.math.ca/23-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-1/wall2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Andrica:1985:RLR,
author = "Dorin Andrica and Serban Buzeteanu",
title = "On the Reduction of a Linear Recurrence of Order $r$",
journal = j-FIB-QUART,
volume = "23",
number = "1",
pages = "81--84",
month = feb,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:37 MDT 2011",
bibsource = "http://www.fq.math.ca/23-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-1/andrica.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1985:EPSa,
author = "A. P. Hillman and Gloria C. Padilla and Charles R.
Wall",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "23",
number = "1",
pages = "85--88",
month = feb,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:37 MDT 2011",
bibsource = "http://www.fq.math.ca/23-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-1/elementary23-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1985:APSa,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "23",
number = "1",
pages = "89--97",
month = feb,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:37 MDT 2011",
bibsource = "http://www.fq.math.ca/23-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-1/advanced23-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{deBouvere:1985:FIC,
author = "Karel L. de Bouv{\`e}re and Herta T. Freitag",
title = "{First International Conference on Fibonacci Numbers
and Their Applications}: Two Reports",
journal = j-FIB-QUART,
volume = "23",
number = "2",
pages = "98--99",
month = may,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:39 MDT 2011",
bibsource = "http://www.fq.math.ca/23-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-2/report.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Philippou:1985:FTP,
author = "Andreas N. Philippou and Costas Georghiou and George
N. Philippou",
title = "{Fibonacci}-Type Polynomials of Order {$K$} with
Probability Applications",
journal = j-FIB-QUART,
volume = "23",
number = "2",
pages = "100--105",
month = may,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:39 MDT 2011",
bibsource = "http://www.fq.math.ca/23-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-2/philippou.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Baker:1985:NIE,
author = "I. N. Baker and P. J. Rippon",
title = "A Note on Infinite Exponentials",
journal = j-FIB-QUART,
volume = "23",
number = "2",
pages = "106--112",
month = may,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:39 MDT 2011",
bibsource = "http://www.fq.math.ca/23-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-2/baker.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Alder:1985:EPI,
author = "Henry L. Alder and Amin A. Muwafi and Jeffrey K.
Lewis",
title = "{Euler}'s Partition Identity --- Are There Any More
Like It?",
journal = j-FIB-QUART,
volume = "23",
number = "2",
pages = "113--119",
month = may,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:39 MDT 2011",
bibsource = "http://www.fq.math.ca/23-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-2/alder.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Clarke:1985:SGL,
author = "J. H. Clarke and A. G. Shannon",
title = "Some Generalized {Lucas} Sequences",
journal = j-FIB-QUART,
volume = "23",
number = "2",
pages = "120--125",
month = may,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:39 MDT 2011",
bibsource = "http://www.fq.math.ca/23-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-2/clarke.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horak:1985:CSO,
author = "P. Hor{\'a}k and L. Skula",
title = "A Characterization of the Second-Order Strong
Divisibility Sequences",
journal = j-FIB-QUART,
volume = "23",
number = "2",
pages = "126--132",
month = may,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:39 MDT 2011",
bibsource = "http://www.fq.math.ca/23-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-2/horak.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Monzingo:1985:DCT,
author = "M. G. Monzingo",
title = "On the Distribution of Consecutive Triples of
Quadratic Residues and Quadratic Nonresidues and
Related Topics",
journal = j-FIB-QUART,
volume = "23",
number = "2",
pages = "133--138",
month = may,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:39 MDT 2011",
bibsource = "http://www.fq.math.ca/23-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-2/monzingo.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Laywine:1985:LCH,
author = "Charles Laywine and Gary L. Mullen",
title = "{Latin} Cubes and Hypercubes of Prime Order",
journal = j-FIB-QUART,
volume = "23",
number = "2",
pages = "139--145",
month = may,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:39 MDT 2011",
bibsource = "http://www.fq.math.ca/23-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-2/laywine.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Sternheimer:1985:CIE,
author = "R. M. Sternheimer",
title = "A Corollary to Iterated Exponentiation",
journal = j-FIB-QUART,
volume = "23",
number = "2",
pages = "146--148",
month = may,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:39 MDT 2011",
bibsource = "http://www.fq.math.ca/23-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-2/sternheimer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ralston:1985:ECC,
author = "Blake Ralston",
title = "Elemental Complete Composite Number Generators",
journal = j-FIB-QUART,
volume = "23",
number = "2",
pages = "149--150",
month = may,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:39 MDT 2011",
bibsource = "http://www.fq.math.ca/23-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-2/ralston.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rose:1985:NFI,
author = "Nicholas J. Rose",
title = "A Note on a {Fibonacci} Identity",
journal = j-FIB-QUART,
volume = "23",
number = "2",
pages = "151--152",
month = may,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:39 MDT 2011",
bibsource = "http://www.fq.math.ca/23-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-2/rose.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Walker:1985:GCS,
author = "Marshall Walker",
title = "Golden Cuboid Sequences",
journal = j-FIB-QUART,
volume = "23",
number = "2",
pages = "153--154",
month = may,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:39 MDT 2011",
bibsource = "http://www.fq.math.ca/23-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-2/walker.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{VanRavenstein:1985:PCG,
author = "Tony {Van Ravenstein} and Graham Winley and Keith
Tognetti",
title = "A Property of Convergents to Golden Mean",
journal = j-FIB-QUART,
volume = "23",
number = "2",
pages = "155--157",
month = may,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:39 MDT 2011",
bibsource = "http://www.fq.math.ca/23-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-2/vanravenstein.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{McClung:1985:GUA,
author = "O. W. McClung",
title = "Generators of Unitary Amicable Numbers",
journal = j-FIB-QUART,
volume = "23",
number = "2",
pages = "158--165",
month = may,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:39 MDT 2011",
bibsource = "http://www.fq.math.ca/23-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-2/mcclung.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Boscarol:1985:NBC,
author = "Mauro Boscarol",
title = "A Note on Binomial Coefficients and {Chebyshev}
Polynomials",
journal = j-FIB-QUART,
volume = "23",
number = "2",
pages = "166--168",
month = may,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:39 MDT 2011",
bibsource = "http://www.fq.math.ca/23-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-2/boscarol.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Dawson:1985:RFT,
author = "R. Dawson and G. Gabor and R. Nowakowski and D.
Wiens",
title = "Random {Fibonacci}-Type Sequences",
journal = j-FIB-QUART,
volume = "23",
number = "2",
pages = "169--176",
month = may,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:39 MDT 2011",
bibsource = "http://www.fq.math.ca/23-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-2/dawson.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Epasinghe:1985:EAF,
author = "P. W. Epasinghe",
title = "{Euclid}'s Algorithm and the {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "23",
number = "2",
pages = "177--179",
month = may,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:39 MDT 2011",
bibsource = "http://www.fq.math.ca/23-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-2/epasinghe.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bergum:1985:LE,
author = "Gerald E. Bergum",
title = "Letter from the Editor",
journal = j-FIB-QUART,
volume = "23",
number = "2",
pages = "180--??",
month = may,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:39 MDT 2011",
bibsource = "http://www.fq.math.ca/23-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-2/letter.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1985:EPSb,
author = "A. P. Hillman and Gloria C. Padilla and Charles R.
Wall",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "23",
number = "2",
pages = "181--185",
month = may,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:39 MDT 2011",
bibsource = "http://www.fq.math.ca/23-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-2/elementary23-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1985:APSb,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "23",
number = "2",
pages = "186--193",
month = may,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:39 MDT 2011",
bibsource = "http://www.fq.math.ca/23-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-2/advanced23-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Laohakosol:1985:TOA,
author = "Vichian Laohakosol and Nit Roenrom",
title = "A Third-Order Analog of a Result of {L. Carlitz}",
journal = j-FIB-QUART,
volume = "23",
number = "3",
pages = "194--198",
month = aug,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:41 MDT 2011",
bibsource = "http://www.fq.math.ca/23-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-3/laohakosol.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Antoniadis:1985:GFN,
author = "Jannis A. Antoniadis",
title = "Generalized {Fibonacci} Numbers and Some {Diophantine}
Equations",
journal = j-FIB-QUART,
volume = "23",
number = "3",
pages = "199--213",
month = aug,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:41 MDT 2011",
bibsource = "http://www.fq.math.ca/23-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-3/antoniadis.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:1985:ZP,
author = "A. F. Horadam",
title = "Zigzag Polynomials",
journal = j-FIB-QUART,
volume = "23",
number = "3",
pages = "214--220",
month = aug,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:41 MDT 2011",
bibsource = "http://www.fq.math.ca/23-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-3/horadam.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Long:1985:FAT,
author = "Calvin T. Long",
title = "On a {Fibonacci} Arithmetical Trick",
journal = j-FIB-QUART,
volume = "23",
number = "3",
pages = "221--231",
month = aug,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:41 MDT 2011",
bibsource = "http://www.fq.math.ca/23-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-3/long.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoft:1985:FSD,
author = "Hartmut H{\"o}ft and Margret H{\"o}ft",
title = "A {Fibonacci} Sequence of Distributive Lattices",
journal = j-FIB-QUART,
volume = "23",
number = "3",
pages = "232--237",
month = aug,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:41 MDT 2011",
bibsource = "http://www.fq.math.ca/23-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-3/hoft.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Popov:1985:NSF,
author = "Blagoj S. Popov",
title = "A Note on the Sums of {Fibonacci} and {Lucas}
Polynomials",
journal = j-FIB-QUART,
volume = "23",
number = "3",
pages = "238--239",
month = aug,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:41 MDT 2011",
bibsource = "http://www.fq.math.ca/23-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-3/popov.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bergum:1985:JPC,
author = "G. E. Bergum and Larry Bennett and A. F. Horadam and
S. D. Moore",
title = "{Jacobsthal} Polynomials and a Conjecture Concerning
{Fibonacci}-Like Matrices",
journal = j-FIB-QUART,
volume = "23",
number = "3",
pages = "240--248",
month = aug,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:41 MDT 2011",
bibsource = "http://www.fq.math.ca/23-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-3/bergum.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Howard:1985:IRB,
author = "F. T. Howard",
title = "Integers Related to the {Bessel} Function {$ J_1 (z)
$}",
journal = j-FIB-QUART,
volume = "23",
number = "3",
pages = "249--257",
month = aug,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:41 MDT 2011",
bibsource = "http://www.fq.math.ca/23-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-3/howard.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Baron:1985:NST,
author = "G. Baron and F. T. Boesch and H. Prodinger and R. F.
Tichy and J. F. Wang",
title = "The Number of Spanning Trees in the Square of a
Cycle",
journal = j-FIB-QUART,
volume = "23",
number = "3",
pages = "258--264",
month = aug,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:41 MDT 2011",
bibsource = "http://www.fq.math.ca/23-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-3/baron.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Stolarsky:1985:RAX,
author = "Kenneth B. Stolarsky and Steven Greenbaum",
title = "A Ratio Associated with {$ \Phi (x) = n $}",
journal = j-FIB-QUART,
volume = "23",
number = "3",
pages = "265--269",
month = aug,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:41 MDT 2011",
bibsource = "http://www.fq.math.ca/23-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-3/stolarsky.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Beck:1985:HUH,
author = "Walter E. Beck and Rudolph M. Najar",
title = "Hyperperfect and Unitary Hyperperfect Numbers",
journal = j-FIB-QUART,
volume = "23",
number = "3",
pages = "270--275",
month = aug,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:41 MDT 2011",
bibsource = "http://www.fq.math.ca/23-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-3/beck.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1985:Ab,
author = "Anonymous",
title = "Announcement",
journal = j-FIB-QUART,
volume = "23",
number = "3",
pages = "276--??",
month = aug,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:41 MDT 2011",
bibsource = "http://www.fq.math.ca/23-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-3/announcement.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1985:EPSc,
author = "A. P. Hillman and Gloria C. Padilla and Charles R.
Wall",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "23",
number = "3",
pages = "277--281",
month = aug,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:41 MDT 2011",
bibsource = "http://www.fq.math.ca/23-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-3/elementary23-3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1985:APSc,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "23",
number = "3",
pages = "282--289",
month = aug,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:41 MDT 2011",
bibsource = "http://www.fq.math.ca/23-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-3/advanced23-3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Levesque:1985:OLR,
author = "Claude Levesque",
title = "On $m$-th Order Linear Recurrences",
journal = j-FIB-QUART,
volume = "23",
number = "4",
pages = "290--293",
month = nov,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:43 MDT 2011",
bibsource = "http://www.fq.math.ca/23-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-4/levesque.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:1985:GPR,
author = "A. F. Horadam",
title = "{Gegenbauer} Polynomials Revisited",
journal = j-FIB-QUART,
volume = "23",
number = "4",
pages = "294--299",
month = nov,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:43 MDT 2011",
bibsource = "http://www.fq.math.ca/23-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-4/horadam-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Antoniadis:1985:FLN,
author = "Jannis A. Antoniadis",
title = "{Fibonacci} and {Lucas} Numbers of the Form $ 3 z^2 +
1 $",
journal = j-FIB-QUART,
volume = "23",
number = "4",
pages = "300--307",
month = nov,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:43 MDT 2011",
bibsource = "http://www.fq.math.ca/23-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-4/antoniadis.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bicknell-Johnson:1985:GWN,
author = "Marjorie Bicknell-Johnson",
title = "Generalized {Wythoff} Numbers form Simultaneous
{Fibonacci} Representations",
journal = j-FIB-QUART,
volume = "23",
number = "4",
pages = "308--318",
month = nov,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:43 MDT 2011",
bibsource = "http://www.fq.math.ca/23-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-4/bicknell.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Mahon:1985:ITS,
author = "Bro. J. M. Mahon and A. F. Horadam",
title = "Inverse Trigonometrical Summation Formulas Involving
{Pell} Polynomials",
journal = j-FIB-QUART,
volume = "23",
number = "4",
pages = "319--324",
month = nov,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:43 MDT 2011",
bibsource = "http://www.fq.math.ca/23-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-4/mahon.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Schrage:1985:TDG,
author = "Georg Schrage",
title = "A Two-Dimensional Generalization of {Grundy}'s Game",
journal = j-FIB-QUART,
volume = "23",
number = "4",
pages = "325--329",
month = nov,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:43 MDT 2011",
bibsource = "http://www.fq.math.ca/23-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-4/schrage.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Neufeld:1985:LSS,
author = "Eric M. Neufeld and Charles J. Colbourn",
title = "{Lucas} Sequences in Subgraph Counts of
Series-Parallel and Related Graphs",
journal = j-FIB-QUART,
volume = "23",
number = "4",
pages = "330--337",
month = nov,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:43 MDT 2011",
bibsource = "http://www.fq.math.ca/23-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-4/neufeld.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Philippou:1985:LSR,
author = "Andreas N. Philippou and Frosso S. Makri",
title = "Longest Success Runs and {Fibonacci}-Type
Polynomials",
journal = j-FIB-QUART,
volume = "23",
number = "4",
pages = "338--345",
month = nov,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:43 MDT 2011",
bibsource = "http://www.fq.math.ca/23-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-4/philippou.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1985:Ac,
author = "Anonymous",
title = "Announcement",
journal = j-FIB-QUART,
volume = "23",
number = "4",
pages = "346--??",
month = nov,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:43 MDT 2011",
bibsource = "http://www.fq.math.ca/23-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-4/announcement.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lavertu:1985:BCI,
author = "Marie-Louis Lavertu and Claude Levesque",
title = "On {Bernstein}'s Combinatorial Identities",
journal = j-FIB-QUART,
volume = "23",
number = "4",
pages = "347--355",
month = nov,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:43 MDT 2011",
bibsource = "http://www.fq.math.ca/23-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-4/lavertu.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Tovey:1985:MOB,
author = "Craig A. Tovey",
title = "Multiple Occurrences of Binomial Coefficients",
journal = j-FIB-QUART,
volume = "23",
number = "4",
pages = "356--358",
month = nov,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:43 MDT 2011",
bibsource = "http://www.fq.math.ca/23-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-4/tovey.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Frenklach:1985:LRR,
author = "Michael Frenklach",
title = "Linear Recurrence Relations with Binomial
Coefficients",
journal = j-FIB-QUART,
volume = "23",
number = "4",
pages = "359--363",
month = nov,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:43 MDT 2011",
bibsource = "http://www.fq.math.ca/23-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-4/frenklach.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Herda:1985:SPS,
author = "Hans Herda",
title = "The Series of Prime Square Reciprocals",
journal = j-FIB-QUART,
volume = "23",
number = "4",
pages = "364--365",
month = nov,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:43 MDT 2011",
bibsource = "http://www.fq.math.ca/23-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-4/herda.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Church:1985:CPS,
author = "C. A. {Church, Jr.}",
title = "Combinatorial Proof for a Sorting Problem Identity",
journal = j-FIB-QUART,
volume = "23",
number = "4",
pages = "366--368",
month = nov,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:43 MDT 2011",
bibsource = "http://www.fq.math.ca/23-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-4/church.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Barry:1985:FLT,
author = "Arthur Barry and Stanley {Bezuszka, S. J.}",
title = "A {Fibonacci} and {Lucas} {Tannenbaum}",
journal = j-FIB-QUART,
volume = "23",
number = "4",
pages = "369--370",
month = nov,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:43 MDT 2011",
bibsource = "http://www.fq.math.ca/23-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-4/barry.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1985:EPSd,
author = "A. P. Hillman and Gloria C. Padilla and Charles R.
Wall",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "23",
number = "4",
pages = "371--375",
month = nov,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:43 MDT 2011",
bibsource = "http://www.fq.math.ca/23-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-4/elementary23-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1985:APSd,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "23",
number = "4",
pages = "376--382",
month = nov,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:43 MDT 2011",
bibsource = "http://www.fq.math.ca/23-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-4/advanced23-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1985:VI,
author = "Anonymous",
title = "Volume Index",
journal = j-FIB-QUART,
volume = "23",
number = "4",
pages = "383--??",
month = nov,
year = "1985",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:43 MDT 2011",
bibsource = "http://www.fq.math.ca/23-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/23-4/index.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Katz:1986:FDP,
author = "Talbot M. Katz and Daniel I. A. Cohen",
title = "The First Digit Property for Exponential Sequences is
Independent of the Underlying Distribution",
journal = j-FIB-QUART,
volume = "24",
number = "1",
pages = "2--7",
month = feb,
year = "1986",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:45 MDT 2011",
bibsource = "http://www.fq.math.ca/24-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/24-1/katz.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:1986:GZP,
author = "A. F. Horadam",
title = "Generalized Zigzag Polynomials",
journal = j-FIB-QUART,
volume = "24",
number = "1",
pages = "8--16",
month = feb,
year = "1986",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:45 MDT 2011",
bibsource = "http://www.fq.math.ca/24-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/24-1/horadam.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Popov:1986:SRS,
author = "Blagoj S. Popov",
title = "Summation of Reciprocal Series of Numerical Functions
of Second Order",
journal = j-FIB-QUART,
volume = "24",
number = "1",
pages = "17--21",
month = feb,
year = "1986",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:45 MDT 2011",
bibsource = "http://www.fq.math.ca/24-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/24-1/popov.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Shallit:1986:MTP,
author = "J. O. Shallit",
title = "Metric Theory of {Pierce} Expansions",
journal = j-FIB-QUART,
volume = "24",
number = "1",
pages = "22--40",
month = feb,
year = "1986",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:45 MDT 2011",
bibsource = "http://www.fq.math.ca/24-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/24-1/shallit.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Filaseta:1986:NMS,
author = "Michael Filaseta",
title = "{Newton}'s Method and Simple Continued Fractions",
journal = j-FIB-QUART,
volume = "24",
number = "1",
pages = "41--45",
month = feb,
year = "1986",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:45 MDT 2011",
bibsource = "http://www.fq.math.ca/24-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/24-1/filaseta.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bergum:1986:LE,
author = "G. E. Bergum",
title = "Letter from the Editor",
journal = j-FIB-QUART,
volume = "24",
number = "1",
pages = "46--??",
month = feb,
year = "1986",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:45 MDT 2011",
bibsource = "http://www.fq.math.ca/24-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/24-1/letter.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Good:1986:SCTa,
author = "I. J. Good",
title = "Skew Circulants and the Theory of Numbers",
journal = j-FIB-QUART,
volume = "24",
number = "1",
pages = "47--60",
month = feb,
year = "1986",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:45 MDT 2011",
bibsource = "http://www.fq.math.ca/24-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/24-1/good.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Turner:1986:CKF,
author = "J. C. Turner",
title = "On a Class of Knots with {Fibonacci} Invariant
Numbers",
journal = j-FIB-QUART,
volume = "24",
number = "1",
pages = "61--66",
month = feb,
year = "1986",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:45 MDT 2011",
bibsource = "http://www.fq.math.ca/24-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/24-1/turner.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ewell:1986:TFP,
author = "John A. Ewell",
title = "On Two- and Four-Part Partitions of Numbers Each Part
a Square",
journal = j-FIB-QUART,
volume = "24",
number = "1",
pages = "67--69",
month = feb,
year = "1986",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:45 MDT 2011",
bibsource = "http://www.fq.math.ca/24-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/24-1/ewell.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Castellanos:1986:RCE,
author = "Dario Castellanos",
title = "Rapidly Converging Expansions with {Fibonacci}
Coefficients",
journal = j-FIB-QUART,
volume = "24",
number = "1",
pages = "70--82",
month = feb,
year = "1986",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:45 MDT 2011",
bibsource = "http://www.fq.math.ca/24-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/24-1/castellanos.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1986:Aa,
author = "Anonymous",
title = "Announcement",
journal = j-FIB-QUART,
volume = "24",
number = "1",
pages = "83--??",
month = feb,
year = "1986",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:45 MDT 2011",
bibsource = "http://www.fq.math.ca/24-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/24-1/announcement.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1986:EPSa,
author = "A. P. Hillman and Gloria C. Padilla and Charles R.
Wall",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "24",
number = "1",
pages = "84--87",
month = feb,
year = "1986",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:45 MDT 2011",
bibsource = "http://www.fq.math.ca/24-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/24-1/elementary24-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1986:APSa,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "24",
number = "1",
pages = "88--97",
month = feb,
year = "1986",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:45 MDT 2011",
bibsource = "http://www.fq.math.ca/24-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/24-1/advanced24-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1986:Ab,
author = "Anonymous",
title = "Acknowledgements",
journal = j-FIB-QUART,
volume = "24",
number = "2",
pages = "98--??",
month = may,
year = "1986",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:47 MDT 2011",
bibsource = "http://www.fq.math.ca/24-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/24-2/acknowledgements.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hirose:1986:SPN,
author = "Shoichi Hirose",
title = "On Some Polygonal Numbers Which are, at the Same Time,
the Sums, Differences, and Products of Two Other
Polygonal Numbers",
journal = j-FIB-QUART,
volume = "24",
number = "2",
pages = "99--105",
month = may,
year = "1986",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:47 MDT 2011",
bibsource = "http://www.fq.math.ca/24-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/24-2/hirose.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{McClung:1986:LE,
author = "O. William McClung",
title = "Letter to the Editor",
journal = j-FIB-QUART,
volume = "24",
number = "2",
pages = "106--??",
month = may,
year = "1986",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:47 MDT 2011",
bibsource = "http://www.fq.math.ca/24-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/24-2/letter.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Sternheimer:1986:SRC,
author = "R. M. Sternheimer",
title = "Some Results Concerning {Pythagorean} Triplets",
journal = j-FIB-QUART,
volume = "24",
number = "2",
pages = "107--128",
month = may,
year = "1986",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:47 MDT 2011",
bibsource = "http://www.fq.math.ca/24-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/24-2/sternheimer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Nowak:1986:MTC,
author = "Werner Georg Nowak",
title = "On the Minimum of a Ternary Cubic Form",
journal = j-FIB-QUART,
volume = "24",
number = "2",
pages = "129--132",
month = may,
year = "1986",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:47 MDT 2011",
bibsource = "http://www.fq.math.ca/24-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/24-2/nowak.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{White:1986:CRR,
author = "Tad White",
title = "On the Coefficients of a Recursion Relation for the
{Fibonacci} Partition Function",
journal = j-FIB-QUART,
volume = "24",
number = "2",
pages = "133--137",
month = may,
year = "1986",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:47 MDT 2011",
bibsource = "http://www.fq.math.ca/24-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/24-2/white.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Chang:1986:HOF,
author = "Derek K. Chang",
title = "Higher-Order {Fibonacci} Sequences Modulo {$M$}",
journal = j-FIB-QUART,
volume = "24",
number = "2",
pages = "138--139",
month = may,
year = "1986",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:47 MDT 2011",
bibsource = "http://www.fq.math.ca/24-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/24-2/chang1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bollinger:1986:NPT,
author = "Richard C. Bollinger",
title = "A Note on {Pascal-$T$} Triangles, Multinomial
Coefficients, and {Pascal} Pyramids",
journal = j-FIB-QUART,
volume = "24",
number = "2",
pages = "140--143",
month = may,
year = "1986",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:47 MDT 2011",
bibsource = "http://www.fq.math.ca/24-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/24-2/bollinger.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1986:RCA,
author = "Anonymous",
title = "Research Conference Announcement",
journal = j-FIB-QUART,
volume = "24",
number = "2",
pages = "144--??",
month = may,
year = "1986",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:47 MDT 2011",
bibsource = "http://www.fq.math.ca/24-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/24-2/announcement.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Goodman:1986:EFG,
author = "A. W. Goodman",
title = "An Entire Function That Gives the {Fibonacci} Numbers
at the Integers",
journal = j-FIB-QUART,
volume = "24",
number = "2",
pages = "145--149",
month = may,
year = "1986",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:47 MDT 2011",
bibsource = "http://www.fq.math.ca/24-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/24-2/goodman.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ewell:1986:EST,
author = "John A. Ewell",
title = "On the Enumerator for Sums of Three Squares",
journal = j-FIB-QUART,
volume = "24",
number = "2",
pages = "150--153",
month = may,
year = "1986",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:47 MDT 2011",
bibsource = "http://www.fq.math.ca/24-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/24-2/ewell.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Stevens:1986:BNK,
author = "Harlan R. Stevens",
title = "{Bernoulli} Numbers and {Kummer}'s Criterion",
journal = j-FIB-QUART,
volume = "24",
number = "2",
pages = "154--159",
month = may,
year = "1986",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:47 MDT 2011",
bibsource = "http://www.fq.math.ca/24-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/24-2/stevens.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Long:1986:DFI,
author = "Calvin T. Long",
title = "Discovering {Fibonacci} Identities",
journal = j-FIB-QUART,
volume = "24",
number = "2",
pages = "160--167",
month = may,
year = "1986",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:47 MDT 2011",
bibsource = "http://www.fq.math.ca/24-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/24-2/long.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Howard:1986:EFN,
author = "F. T. Howard",
title = "Explicit Formulas for Numbers of {Ramanujan}",
journal = j-FIB-QUART,
volume = "24",
number = "2",
pages = "168--175",
month = may,
year = "1986",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:47 MDT 2011",
bibsource = "http://www.fq.math.ca/24-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/24-2/howard.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Good:1986:SCTb,
author = "I. J. Good",
title = "Skew Circulants and the Theory of Numbers: An
Addendum",
journal = j-FIB-QUART,
volume = "24",
number = "2",
pages = "176--177",
month = may,
year = "1986",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:47 MDT 2011",
bibsource = "http://www.fq.math.ca/24-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/24-2/good.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Chang:1986:FBS,
author = "Derek K. Chang",
title = "On {Fibonacci} Binary Sequences",
journal = j-FIB-QUART,
volume = "24",
number = "2",
pages = "178--179",
month = may,
year = "1986",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:47 MDT 2011",
bibsource = "http://www.fq.math.ca/24-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/24-2/chang2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1986:EPSb,
author = "A. P. Hillman and Gloria C. Padilla and Charles R.
Wall",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "24",
number = "2",
pages = "180--184",
month = may,
year = "1986",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:47 MDT 2011",
bibsource = "http://www.fq.math.ca/24-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/24-2/elementary24-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1986:APSb,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "24",
number = "2",
pages = "185--193",
month = may,
year = "1986",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:47 MDT 2011",
bibsource = "http://www.fq.math.ca/24-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/24-2/advanced24-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Desmond:1986:EFN,
author = "James E. Desmond",
title = "Expansion of the {Fibonacci} Numbers {$ F_{m n + r} $}
in the $m$ th Powers of {Fibonacci} or {Lucas}
Numbers",
journal = j-FIB-QUART,
volume = "24",
number = "3",
pages = "194--208",
month = aug,
year = "1986",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:49 MDT 2011",
bibsource = "http://www.fq.math.ca/24-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/24-3/desmond.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Creely:1986:SCS,
author = "Joseph W. Creely",
title = "Some Combinatorial Sequences",
journal = j-FIB-QUART,
volume = "24",
number = "3",
pages = "209--220",
month = aug,
year = "1986",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:49 MDT 2011",
bibsource = "http://www.fq.math.ca/24-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/24-3/creely.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:1986:HAS,
author = "A. F. Horadam",
title = "Hypersurfaces Associated with {Simson} Formula
Analogues",
journal = j-FIB-QUART,
volume = "24",
number = "3",
pages = "221--226",
month = aug,
year = "1986",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:49 MDT 2011",
bibsource = "http://www.fq.math.ca/24-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/24-3/horadam1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:1986:DHL,
author = "A. F. Horadam",
title = "Determinantal Hypersurfaces for {Lucas} Sequences of
Order $r$, and a Generalization",
journal = j-FIB-QUART,
volume = "24",
number = "3",
pages = "227--237",
month = aug,
year = "1986",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:49 MDT 2011",
bibsource = "http://www.fq.math.ca/24-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/24-3/horadam2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Farrell:1986:OFS,
author = "E. J. Farrell",
title = "On the Occurrences of {Fibonacci} Sequences in the
Counting of Matchings in Linear Polygonal Chains",
journal = j-FIB-QUART,
volume = "24",
number = "3",
pages = "238--246",
month = aug,
year = "1986",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:49 MDT 2011",
bibsource = "http://www.fq.math.ca/24-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/24-3/farrell.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gallinar:1986:FRT,
author = "J.-P. Gallinar",
title = "The {Fibonacci} Ratio in a Thermodynamical Problem: a
Combinatorial Approach",
journal = j-FIB-QUART,
volume = "24",
number = "3",
pages = "247--250",
month = aug,
year = "1986",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:49 MDT 2011",
bibsource = "http://www.fq.math.ca/24-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/24-3/gallinar.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Sinha:1986:FNP,
author = "B. P. Sinha and S. Ghose and B. B. Bhattacharya and P.
K. Srimani",
title = "A Further Note on {Pascal} Graphs",
journal = j-FIB-QUART,
volume = "24",
number = "3",
pages = "251--257",
month = aug,
year = "1986",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:49 MDT 2011",
bibsource = "http://www.fq.math.ca/24-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/24-3/sinha.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Chang:1986:FAT,
author = "Derek K. Chang",
title = "On {Fibonacci} $k$-ary Trees",
journal = j-FIB-QUART,
volume = "24",
number = "3",
pages = "258--262",
month = aug,
year = "1986",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:49 MDT 2011",
bibsource = "http://www.fq.math.ca/24-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/24-3/chang.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Clark:1986:FNE,
author = "Dean S. Clark",
title = "{Fibonacci} Numbers as Expected Values in a Game of
Chance",
journal = j-FIB-QUART,
volume = "24",
number = "3",
pages = "263--267",
month = aug,
year = "1986",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:49 MDT 2011",
bibsource = "http://www.fq.math.ca/24-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/24-3/clark.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bruce:1986:SGM,
author = "Ian Bruce",
title = "Sequences Generated by Multiple Reflections",
journal = j-FIB-QUART,
volume = "24",
number = "3",
pages = "268--272",
month = aug,
year = "1986",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:49 MDT 2011",
bibsource = "http://www.fq.math.ca/24-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/24-3/bruce.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bruckman:1986:RPD,
author = "Paul S. Bruckman",
title = "A Relation for the Prime Distribution Function",
journal = j-FIB-QUART,
volume = "24",
number = "3",
pages = "273--276",
month = aug,
year = "1986",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:49 MDT 2011",
bibsource = "http://www.fq.math.ca/24-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/24-3/bruckman.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1986:EPSc,
author = "A. P. Hillman and Gloria C. Padilla and Charles R.
Wall",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "24",
number = "3",
pages = "277--282",
month = aug,
year = "1986",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:49 MDT 2011",
bibsource = "http://www.fq.math.ca/24-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/24-3/elementary24-3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1986:APSc,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "24",
number = "3",
pages = "283--289",
month = aug,
year = "1986",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:49 MDT 2011",
bibsource = "http://www.fq.math.ca/24-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/24-3/advanced24-3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Mahon:1986:MOS,
author = "Bro. J. M. Mahon and A. F. Horadam",
title = "Matrix and Other Summation Techniques for {Pell}
Polynomials",
journal = j-FIB-QUART,
volume = "24",
number = "4",
pages = "290--308",
month = nov,
year = "1986",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:51 MDT 2011",
bibsource = "http://www.fq.math.ca/24-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/24-4/mahon.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bicknell-Johnson:1986:LE,
author = "Marjorie Bicknell-Johnson",
title = "Letter to the Editor",
journal = j-FIB-QUART,
volume = "24",
number = "4",
pages = "309--??",
month = nov,
year = "1986",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:51 MDT 2011",
bibsource = "http://www.fq.math.ca/24-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/24-4/letter1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Edgar:1986:LCM,
author = "Hugh M. Edgar",
title = "On the Least Common Multiple of Some Binomial
Coefficients",
journal = j-FIB-QUART,
volume = "24",
number = "4",
pages = "310--312",
month = nov,
year = "1986",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:51 MDT 2011",
bibsource = "http://www.fq.math.ca/24-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/24-4/edgar.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Larison:1986:SS,
author = "Clarence B. Larison",
title = "{Sidney}'s Series",
journal = j-FIB-QUART,
volume = "24",
number = "4",
pages = "313--315",
month = nov,
year = "1986",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:51 MDT 2011",
bibsource = "http://www.fq.math.ca/24-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/24-4/larison-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Almkvist:1986:STP,
author = "Gert Almkvist",
title = "A Solution to a Tantalizing Problem",
journal = j-FIB-QUART,
volume = "24",
number = "4",
pages = "316--322",
month = nov,
year = "1986",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:51 MDT 2011",
bibsource = "http://www.fq.math.ca/24-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/24-4/almkvist.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Peters:1986:TRG,
author = "J. M. H. Peters",
title = "Tenth Roots and the Golden Ratio",
journal = j-FIB-QUART,
volume = "24",
number = "4",
pages = "323--327",
month = nov,
year = "1986",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:51 MDT 2011",
bibsource = "http://www.fq.math.ca/24-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/24-4/peters.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Chia:1986:NCN,
author = "G. L. Chia",
title = "A Note Concerning the Number of Odd-Order Magic
Squares",
journal = j-FIB-QUART,
volume = "24",
number = "4",
pages = "328--331",
month = nov,
year = "1986",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:51 MDT 2011",
bibsource = "http://www.fq.math.ca/24-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/24-4/chia.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Freitag:1986:CRC,
author = "H. T. Freitag and G. M. Phillips",
title = "A Congruence Relation for Certain Recursive
Sequences",
journal = j-FIB-QUART,
volume = "24",
number = "4",
pages = "332--335",
month = nov,
year = "1986",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:51 MDT 2011",
bibsource = "http://www.fq.math.ca/24-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/24-4/freitag.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Filipponi:1986:NRI,
author = "Piero Filipponi",
title = "A Note on the Representation of Integers as a Sum of
Distinct {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "24",
number = "4",
pages = "336--343",
month = nov,
year = "1986",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:51 MDT 2011",
bibsource = "http://www.fq.math.ca/24-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/24-4/filipponi.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:1986:SFE,
author = "A. F. Horadam and A. P. Treweek",
title = "{Simson}'s Formula and an Equation of Degree $ 24 $",
journal = j-FIB-QUART,
volume = "24",
number = "4",
pages = "344--346",
month = nov,
year = "1986",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:51 MDT 2011",
bibsource = "http://www.fq.math.ca/24-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/24-4/horadam1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{VandenEynden:1986:DBS,
author = "Charles {Vanden Eynden}",
title = "Differences between Squares and Powerful Numbers",
journal = j-FIB-QUART,
volume = "24",
number = "4",
pages = "347--348",
month = nov,
year = "1986",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:51 MDT 2011",
bibsource = "http://www.fq.math.ca/24-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/24-4/vandeneynden.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Long:1986:NMP,
author = "Calvin T. Long",
title = "A Note on {Moessner}'s Process",
journal = j-FIB-QUART,
volume = "24",
number = "4",
pages = "349--355",
month = nov,
year = "1986",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:51 MDT 2011",
bibsource = "http://www.fq.math.ca/24-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/24-4/long.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wilcox:1986:FSP,
author = "Howard J. Wilcox",
title = "{Fibonacci} Sequences of Period $n$ in Groups",
journal = j-FIB-QUART,
volume = "24",
number = "4",
pages = "356--361",
month = nov,
year = "1986",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:51 MDT 2011",
bibsource = "http://www.fq.math.ca/24-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/24-4/wilcox.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Atanassov:1986:SNG,
author = "Krassimir T. Atanassov",
title = "On a Second New Generalization of the {Fibonacci}
Sequence",
journal = j-FIB-QUART,
volume = "24",
number = "4",
pages = "362--365",
month = nov,
year = "1986",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:51 MDT 2011",
bibsource = "http://www.fq.math.ca/24-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/24-4/atanassov.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:1986:ECG,
author = "A. F. Horadam and S. Pethe",
title = "{Euclidean} Coordinates as Generalized {Fibonacci}
Numbers Products",
journal = j-FIB-QUART,
volume = "24",
number = "4",
pages = "366--370",
month = nov,
year = "1986",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:51 MDT 2011",
bibsource = "http://www.fq.math.ca/24-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/24-4/horadam2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1986:EPSd,
author = "A. P. Hillman and Gloria C. Padilla and Charles R.
Wall",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "24",
number = "4",
pages = "371--375",
month = nov,
year = "1986",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:51 MDT 2011",
bibsource = "http://www.fq.math.ca/24-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/24-4/elementary24-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1986:APSd,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "24",
number = "4",
pages = "376--381",
month = nov,
year = "1986",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:51 MDT 2011",
bibsource = "http://www.fq.math.ca/24-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/24-4/advanced24-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Herz-Fischler:1986:LE,
author = "R. Herz-Fischler",
title = "Letter to the Editor",
journal = j-FIB-QUART,
volume = "24",
number = "4",
pages = "382--??",
month = nov,
year = "1986",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:51 MDT 2011",
bibsource = "http://www.fq.math.ca/24-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/24-4/letter2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1986:VI,
author = "Anonymous",
title = "Volume Index",
journal = j-FIB-QUART,
volume = "24",
number = "4",
pages = "383--??",
month = nov,
year = "1986",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:51 MDT 2011",
bibsource = "http://www.fq.math.ca/24-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/24-4/index.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bicknell-Johnson:1987:SHF,
author = "Marjorie Bicknell-Johnson",
title = "A Short History of {{\booktitle{The Fibonacci
Quarterly}}}",
journal = j-FIB-QUART,
volume = "25",
number = "1",
pages = "2--5",
month = feb,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:53 MDT 2011",
bibsource = "http://www.fq.math.ca/25-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-1/bicknell.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hagis:1987:SSU,
author = "Peter {Hagis, Jr.}",
title = "A Systematic Search for Unitary Hyperperfect Numbers",
journal = j-FIB-QUART,
volume = "25",
number = "1",
pages = "6--10",
month = feb,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:53 MDT 2011",
bibsource = "http://www.fq.math.ca/25-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-1/hagis.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kahan:1987:CCT,
author = "Steven Kahan",
title = "Cyclic Counting Trios",
journal = j-FIB-QUART,
volume = "25",
number = "1",
pages = "11--20",
month = feb,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:53 MDT 2011",
bibsource = "http://www.fq.math.ca/25-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-1/kahan.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Mahon:1987:PPM,
author = "Bro. J. M. Mahon and A. F. Horadam",
title = "{Pell} Polynomial Matrices",
journal = j-FIB-QUART,
volume = "25",
number = "1",
pages = "21--28",
month = feb,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:53 MDT 2011",
bibsource = "http://www.fq.math.ca/25-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-1/mahon1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Robbins:1987:RBS,
author = "Neville Robbins",
title = "Representing \binom(2n, n) as a Sum of Squares",
journal = j-FIB-QUART,
volume = "25",
number = "1",
pages = "29--33",
month = feb,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:53 MDT 2011",
bibsource = "http://www.fq.math.ca/25-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-1/robbins.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Mollin:1987:NPN,
author = "R. A. Mollin and P. G. Walsh",
title = "On Nonsquare Powerful Numbers",
journal = j-FIB-QUART,
volume = "25",
number = "1",
pages = "34--37",
month = feb,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:53 MDT 2011",
bibsource = "http://www.fq.math.ca/25-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-1/mollin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Colman:1987:UBG,
author = "W. J. A. Colman",
title = "An Upper Bound for the General Restricted Partition
Problem",
journal = j-FIB-QUART,
volume = "25",
number = "1",
pages = "38--44",
month = feb,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:53 MDT 2011",
bibsource = "http://www.fq.math.ca/25-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-1/colman.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Mahon:1987:OGF,
author = "Bro. J. M. Mahon and A. F. Horadam",
title = "Ordinary Generating Functions for {Pell} Polynomials",
journal = j-FIB-QUART,
volume = "25",
number = "1",
pages = "45--56",
month = feb,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:53 MDT 2011",
bibsource = "http://www.fq.math.ca/25-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-1/mahon2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Higgins:1987:NPF,
author = "Peter M. Higgins",
title = "The Naming of Popes and a {Fibonacci} Sequence in Two
Noncommuting Indeterminates",
journal = j-FIB-QUART,
volume = "25",
number = "1",
pages = "57--61",
month = feb,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:53 MDT 2011",
bibsource = "http://www.fq.math.ca/25-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-1/higgins.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bumby:1987:IIR,
author = "Richard T. Bumby",
title = "Incredible Identities Revisited",
journal = j-FIB-QUART,
volume = "25",
number = "1",
pages = "62--64",
month = feb,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:53 MDT 2011",
bibsource = "http://www.fq.math.ca/25-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-1/bumby.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Aiello:1987:EMN,
author = "W. Aiello and G. E. Hardy and M. V. Subbarao",
title = "On the Existence of $e$-Multiperfect Numbers",
journal = j-FIB-QUART,
volume = "25",
number = "1",
pages = "65--71",
month = feb,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:53 MDT 2011",
bibsource = "http://www.fq.math.ca/25-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-1/aiello.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lee:1987:CCP,
author = "Jin-Zai Lee and Jia-Sheng Lee",
title = "A Complete Characterization of {$B$}-Power Fractions
That can be Represented as Series of General
$n$-{Bonacci} Numbers",
journal = j-FIB-QUART,
volume = "25",
number = "1",
pages = "72--75",
month = feb,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:53 MDT 2011",
bibsource = "http://www.fq.math.ca/25-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-1/lee.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{McDaniel:1987:EIM,
author = "Wayne L. McDaniel",
title = "The Existence of Infinitely Many $k$-{Smith} Numbers",
journal = j-FIB-QUART,
volume = "25",
number = "1",
pages = "76--80",
month = feb,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:53 MDT 2011",
bibsource = "http://www.fq.math.ca/25-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-1/mcdaniel.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Asveld:1987:FFL,
author = "Peter R. J. Asveld",
title = "A Family of {Fibonacci}-Like Sequences",
journal = j-FIB-QUART,
volume = "25",
number = "1",
pages = "81--83",
month = feb,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:53 MDT 2011",
bibsource = "http://www.fq.math.ca/25-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-1/asveld.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1987:R,
author = "Anonymous",
title = "Referees",
journal = j-FIB-QUART,
volume = "25",
number = "1",
pages = "84--??",
month = feb,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:53 MDT 2011",
bibsource = "http://www.fq.math.ca/25-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-1/referees.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1987:EPSa,
author = "A. P. Hillman and Gloria C. Padilla and Charles R.
Wall",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "25",
number = "1",
pages = "85--89",
month = feb,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:53 MDT 2011",
bibsource = "http://www.fq.math.ca/25-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-1/elementary25-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1987:APSa,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "25",
number = "1",
pages = "90--97",
month = feb,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:53 MDT 2011",
bibsource = "http://www.fq.math.ca/25-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-1/advanced25-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Freitag:1987:SIC,
author = "Herta T. Freitag",
title = "The {Second International Conference on Fibonacci
Numbers and Their Applications}: a Memory-Laden
Experience",
journal = j-FIB-QUART,
volume = "25",
number = "2",
pages = "98--99",
month = may,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:55 MDT 2011",
bibsource = "http://www.fq.math.ca/25-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-2/freitag.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Shannon:1987:FHA,
author = "A. G. Shannon",
title = "{A. F. Horadam} --- Ad Multos Annos",
journal = j-FIB-QUART,
volume = "25",
number = "2",
pages = "100--104",
month = may,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:55 MDT 2011",
bibsource = "http://www.fq.math.ca/25-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-2/shannon.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1987:TICa,
author = "Anonymous",
title = "{Third International Conference} Announcement",
journal = j-FIB-QUART,
volume = "25",
number = "2",
pages = "105--??",
month = may,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:55 MDT 2011",
bibsource = "http://www.fq.math.ca/25-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-2/announcement.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Mahon:1987:CSG,
author = "Br. J. Mahon and A. F. Horadam",
title = "A Constellation of Sequences of Generalized {Pell}
Polynomials",
journal = j-FIB-QUART,
volume = "25",
number = "2",
pages = "106--110",
month = may,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:55 MDT 2011",
bibsource = "http://www.fq.math.ca/25-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-2/mahon.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lee:1987:SPG,
author = "Jin-Zai Lee and Jia-Sheng Lee",
title = "Some Properties of the Generalization of the
{Fibonacci} Sequence",
journal = j-FIB-QUART,
volume = "25",
number = "2",
pages = "111--117",
month = may,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:55 MDT 2011",
bibsource = "http://www.fq.math.ca/25-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-2/lee.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Engstrom:1987:SGG,
author = "Philip G. Engstrom",
title = "Sections, Golden and Not So Golden",
journal = j-FIB-QUART,
volume = "25",
number = "2",
pages = "118--127",
month = may,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:55 MDT 2011",
bibsource = "http://www.fq.math.ca/25-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-2/engstrom.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Nandi:1987:AGL,
author = "S. B. Nandi and S. K. Dutta",
title = "On Associated and Generalized {Lah} Numbers and
Applications to Discrete Distributions",
journal = j-FIB-QUART,
volume = "25",
number = "2",
pages = "128--136",
month = may,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:55 MDT 2011",
bibsource = "http://www.fq.math.ca/25-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-2/nandi.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Dence:1987:RGF,
author = "Thomas P. Dence",
title = "Ratios of Generalized {Fibonacci} Sequences",
journal = j-FIB-QUART,
volume = "25",
number = "2",
pages = "137--143",
month = may,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:55 MDT 2011",
bibsource = "http://www.fq.math.ca/25-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-2/dence.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hagis:1987:BUA,
author = "Peter {Hagis, Jr.}",
title = "Bi-Unitary Amicable and Multiperfect Numbers",
journal = j-FIB-QUART,
volume = "25",
number = "2",
pages = "144--150",
month = may,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:55 MDT 2011",
bibsource = "http://www.fq.math.ca/25-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-2/hagis.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Xekalaki:1987:SMD,
author = "Evdokia Xekalaki and John Panaretos and Andreas
Philippou",
title = "On Some Mixtures of Distributions of Order $k$",
journal = j-FIB-QUART,
volume = "25",
number = "2",
pages = "151--160",
month = may,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:55 MDT 2011",
bibsource = "http://www.fq.math.ca/25-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-2/xekalaki.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rawsthorne:1987:CGS,
author = "Daniel A. Rawsthorne",
title = "Counting the ``Good'' Sequences",
journal = j-FIB-QUART,
volume = "25",
number = "2",
pages = "161--162",
month = may,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:55 MDT 2011",
bibsource = "http://www.fq.math.ca/25-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-2/rawsthorne.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hudson:1987:CTD,
author = "Richard H. Hudson",
title = "Convergence of {Tribonacci} Decimal Expansions",
journal = j-FIB-QUART,
volume = "25",
number = "2",
pages = "163--170",
month = may,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:55 MDT 2011",
bibsource = "http://www.fq.math.ca/25-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-2/hudson.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Winley:1987:PNE,
author = "Graham Winley and Keith Tognetti and Tony van
Ravenstein",
title = "A Property of Numbers Equivalent to the Golden Mean",
journal = j-FIB-QUART,
volume = "25",
number = "2",
pages = "171--173",
month = may,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:55 MDT 2011",
bibsource = "http://www.fq.math.ca/25-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-2/winley.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Creely:1987:LTN,
author = "Joseph W. Creely",
title = "The Length of a Two-Number Game",
journal = j-FIB-QUART,
volume = "25",
number = "2",
pages = "174--179",
month = may,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:55 MDT 2011",
bibsource = "http://www.fq.math.ca/25-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-2/creely.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1987:EPSb,
author = "A. P. Hillman and Gloria C. Padilla and Charles R.
Wall",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "25",
number = "2",
pages = "180--184",
month = may,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:55 MDT 2011",
bibsource = "http://www.fq.math.ca/25-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-2/elementary25-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1987:APSb,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "25",
number = "2",
pages = "185--193",
month = may,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:55 MDT 2011",
bibsource = "http://www.fq.math.ca/25-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-2/advanced25-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Mahon:1987:EGF,
author = "Bro. J. M. Mahon and A. F. Horadam",
title = "Exponential Generating Functions for {Pell}
Polynomials",
journal = j-FIB-QUART,
volume = "25",
number = "3",
pages = "194--203",
month = aug,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:58 MDT 2011",
bibsource = "http://www.fq.math.ca/25-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-3/mahon.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Mays:1987:IDA,
author = "Michael E. Mays",
title = "Iterating the Division Algorithm",
journal = j-FIB-QUART,
volume = "25",
number = "3",
pages = "204--213",
month = aug,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:58 MDT 2011",
bibsource = "http://www.fq.math.ca/25-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-3/mays.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{McNeill:1987:NDS,
author = "R. B. McNeill",
title = "A Note on Divisibility Sequences",
journal = j-FIB-QUART,
volume = "25",
number = "3",
pages = "214--215",
month = aug,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:58 MDT 2011",
bibsource = "http://www.fq.math.ca/25-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-3/mcneill.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Metzger:1987:NPE,
author = "J. M. Metzger and S. P. Kaler",
title = "A Note on the {Pell} Equation",
journal = j-FIB-QUART,
volume = "25",
number = "3",
pages = "216--220",
month = aug,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:58 MDT 2011",
bibsource = "http://www.fq.math.ca/25-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-3/metzger.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Somer:1987:OR,
author = "Lawrence Somer",
title = "On $r$ th-Order Recurrences",
journal = j-FIB-QUART,
volume = "25",
number = "3",
pages = "221--224",
month = aug,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:58 MDT 2011",
bibsource = "http://www.fq.math.ca/25-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-3/somer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{McDaniel:1987:PSN,
author = "Wayne L. McDaniel",
title = "Powerful $k$-{Smith} Numbers",
journal = j-FIB-QUART,
volume = "25",
number = "3",
pages = "225--228",
month = aug,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:58 MDT 2011",
bibsource = "http://www.fq.math.ca/25-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-3/mcdaniel.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Frappier:1987:DCF,
author = "Clement Frappier",
title = "On the Derivatives of Composite Functions",
journal = j-FIB-QUART,
volume = "25",
number = "3",
pages = "229--239",
month = aug,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:58 MDT 2011",
bibsource = "http://www.fq.math.ca/25-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-3/frappier.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hildebrandt:1987:LE,
author = "Thomas H. Hildebrandt",
title = "Letter to the Editor",
journal = j-FIB-QUART,
volume = "25",
number = "3",
pages = "240--??",
month = aug,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:58 MDT 2011",
bibsource = "http://www.fq.math.ca/25-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-3/letter.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Toth:1987:NGE,
author = "L{\'a}szl{\'o} T{\'o}th",
title = "A Note on a Generalization of {Euler}'s {$ \Phi $}
Function",
journal = j-FIB-QUART,
volume = "25",
number = "3",
pages = "241--243",
month = aug,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:58 MDT 2011",
bibsource = "http://www.fq.math.ca/25-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-3/toth.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1987:TICb,
author = "Anonymous",
title = "{Third International Conference} Announcement",
journal = j-FIB-QUART,
volume = "25",
number = "3",
pages = "244--??",
month = aug,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:58 MDT 2011",
bibsource = "http://www.fq.math.ca/25-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-3/announcement.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Owings:1987:SS,
author = "James C. {Owings, Jr.}",
title = "Solution of the System $ a^2 \equiv - 1 \pmod {b} $, $
b^2 \equiv - 1 \pmod {a} $",
journal = j-FIB-QUART,
volume = "25",
number = "3",
pages = "245--249",
month = aug,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:58 MDT 2011",
bibsource = "http://www.fq.math.ca/25-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-3/owings.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Das:1987:RGF,
author = "Sajal D. Das and Narsingh Deo",
title = "Rencontres Graphs: a Family of Bipartitie Graphs",
journal = j-FIB-QUART,
volume = "25",
number = "3",
pages = "250--262",
month = aug,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:58 MDT 2011",
bibsource = "http://www.fq.math.ca/25-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-3/das.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ludington:1987:TIA,
author = "Anne L. Ludington",
title = "Transposable Integers in Arbitrary Bases",
journal = j-FIB-QUART,
volume = "25",
number = "3",
pages = "263--267",
month = aug,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:58 MDT 2011",
bibsource = "http://www.fq.math.ca/25-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-3/ludington.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lee:1987:SPS,
author = "Jin-Zai Lee and Jia-Sheng Lee",
title = "Some Properties of the Sequence {$ \{ W_n(a, b; p, q)
\} $}",
journal = j-FIB-QUART,
volume = "25",
number = "3",
pages = "268--278",
month = aug,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:58 MDT 2011",
bibsource = "http://www.fq.math.ca/25-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-3/lee-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1987:EPSc,
author = "A. P. Hillman and Gloria C. Padilla and Charles R.
Wall",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "25",
number = "3",
pages = "279--283",
month = aug,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:58 MDT 2011",
bibsource = "http://www.fq.math.ca/25-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-3/elementary25-3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1987:APSc,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "25",
number = "3",
pages = "284--289",
month = aug,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:58 MDT 2011",
bibsource = "http://www.fq.math.ca/25-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-3/advanced25-3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1987:TAC,
author = "Anonymous",
title = "{Third Annual Conference} Announcement",
journal = j-FIB-QUART,
volume = "25",
number = "4",
pages = "290--??",
month = nov,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:00 MDT 2011",
bibsource = "http://www.fq.math.ca/25-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-4/announcement.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:1987:MPP,
author = "A. F. Horadam and Bro. J. M. Mahon",
title = "Mixed {Pell} Polynomials",
journal = j-FIB-QUART,
volume = "25",
number = "4",
pages = "291--299",
month = nov,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:00 MDT 2011",
bibsource = "http://www.fq.math.ca/25-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-4/horadam.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Dilcher:1987:GFP,
author = "Karl Dilcher",
title = "A Generalization of {Fibonacci} Polynomials and a
Representation of {Gegenbauer} Polynomials of Integer
Order",
journal = j-FIB-QUART,
volume = "25",
number = "4",
pages = "300--303",
month = nov,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:00 MDT 2011",
bibsource = "http://www.fq.math.ca/25-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-4/dilcher.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Howard:1987:RBF,
author = "F. T. Howard",
title = "The Reciprocal of the {Bessel} Function {$ J_k(z) $}",
journal = j-FIB-QUART,
volume = "25",
number = "4",
pages = "304--311",
month = nov,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:00 MDT 2011",
bibsource = "http://www.fq.math.ca/25-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-4/howard.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wall:1987:LOC,
author = "Charles R. Wall",
title = "On the Largest Odd Component of a Unitary Perfect
Number",
journal = j-FIB-QUART,
volume = "25",
number = "4",
pages = "312--316",
month = nov,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:00 MDT 2011",
bibsource = "http://www.fq.math.ca/25-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-4/wall1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Agarwal:1987:NRL,
author = "A. K. Agarwal",
title = "A Note on $ n(x, y) $-Reflected Lattice Paths",
journal = j-FIB-QUART,
volume = "25",
number = "4",
pages = "317--319",
month = nov,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:00 MDT 2011",
bibsource = "http://www.fq.math.ca/25-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-4/agarwal.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Balasubrahmanyan:1987:FPM,
author = "N. Balasubrahmanyan and R. Sivaramakrishnan",
title = "Friendly-Pairs of Multiplicative Functions",
journal = j-FIB-QUART,
volume = "25",
number = "4",
pages = "320--321",
month = nov,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:00 MDT 2011",
bibsource = "http://www.fq.math.ca/25-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-4/balasubrahmanyan.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoggatt:1987:HSL,
author = "V. E. {Hoggatt, Jr.} and M. A. Owens",
title = "{Hoggatt} Sequences and Lexicographic Ordering",
journal = j-FIB-QUART,
volume = "25",
number = "4",
pages = "322--332",
month = nov,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:00 MDT 2011",
bibsource = "http://www.fq.math.ca/25-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-4/hoggatt.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ligh:1987:FNU,
author = "Steve Ligh and Charles R. Wall",
title = "Functions of Non-Unitary Divisors",
journal = j-FIB-QUART,
volume = "25",
number = "4",
pages = "333--338",
month = nov,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:00 MDT 2011",
bibsource = "http://www.fq.math.ca/25-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-4/ligh.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lee:1987:SPB,
author = "Jin-Zai Lee and Jia-Sheng Lee",
title = "Some Properties of Binomial Coefficients",
journal = j-FIB-QUART,
volume = "25",
number = "4",
pages = "339--342",
month = nov,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:00 MDT 2011",
bibsource = "http://www.fq.math.ca/25-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-4/lee1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wall:1987:ASD,
author = "Charles R. Wall",
title = "Analogs of {Smith}'s Determinant",
journal = j-FIB-QUART,
volume = "25",
number = "4",
pages = "343--345",
month = nov,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:00 MDT 2011",
bibsource = "http://www.fq.math.ca/25-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-4/wall2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hsu:1987:GSN,
author = "L. C. Hsu",
title = "Generalized {Stirling} Number Pairs Associated with
Inverse Relations",
journal = j-FIB-QUART,
volume = "25",
number = "4",
pages = "346--351",
month = nov,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:00 MDT 2011",
bibsource = "http://www.fq.math.ca/25-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-4/hsu.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Krall:1987:CSN,
author = "Allan M. Krall and Lance L. Littlejohn",
title = "A Curious Set of Numbers",
journal = j-FIB-QUART,
volume = "25",
number = "4",
pages = "352--355",
month = nov,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:00 MDT 2011",
bibsource = "http://www.fq.math.ca/25-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-4/krall.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Milovanovic:1987:SPH,
author = "G. V. Milovanovi{\'c} and G. Djordjevi{\'c}",
title = "On Some Properties of {Humbert}'s Polynomials",
journal = j-FIB-QUART,
volume = "25",
number = "4",
pages = "356--360",
month = nov,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:00 MDT 2011",
bibsource = "http://www.fq.math.ca/25-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-4/milovanovic.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Asveld:1987:AFF,
author = "Peter R. J. Asveld",
title = "Another Family of {Fibonacci}-Like Sequences",
journal = j-FIB-QUART,
volume = "25",
number = "4",
pages = "361--364",
month = nov,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:00 MDT 2011",
bibsource = "http://www.fq.math.ca/25-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-4/asveld.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kunoff:1987:FDP,
author = "Sharon Kunoff",
title = "{$ N! $} has the First Digit Property",
journal = j-FIB-QUART,
volume = "25",
number = "4",
pages = "365--367",
month = nov,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:00 MDT 2011",
bibsource = "http://www.fq.math.ca/25-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-4/kunoff.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lee:1987:TOA,
author = "Jia-Sheng Lee",
title = "The {$K$ th}-Order Analog of a Result of {L.
Carlitz}",
journal = j-FIB-QUART,
volume = "25",
number = "4",
pages = "368--369",
month = nov,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:00 MDT 2011",
bibsource = "http://www.fq.math.ca/25-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-4/lee2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1987:EPSd,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "25",
number = "4",
pages = "370--375",
month = nov,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:00 MDT 2011",
bibsource = "http://www.fq.math.ca/25-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-4/elementary25-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1987:APSd,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "25",
number = "4",
pages = "376--382",
month = nov,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:00 MDT 2011",
bibsource = "http://www.fq.math.ca/25-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-4/advanced25-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1987:VI,
author = "Anonymous",
title = "Volume Index",
journal = j-FIB-QUART,
volume = "25",
number = "4",
pages = "383--??",
month = nov,
year = "1987",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:00 MDT 2011",
bibsource = "http://www.fq.math.ca/25-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/25-4/index.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1988:TICa,
author = "Anonymous",
title = "{Third International Conference} Announcement",
journal = j-FIB-QUART,
volume = "26",
number = "1",
pages = "2--??",
month = feb,
year = "1988",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:02 MDT 2011",
bibsource = "http://www.fq.math.ca/26-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/26-1/announcement.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:1988:FLC,
author = "A. F. Horadam and A. G. Shannon",
title = "{Fibonacci} and {Lucas} Curves",
journal = j-FIB-QUART,
volume = "26",
number = "1",
pages = "3--13",
month = feb,
year = "1988",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:02 MDT 2011",
bibsource = "http://www.fq.math.ca/26-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/26-1/horadam1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lee:1988:NGF,
author = "Jin-Zai Lee and Jia-Sheng Lee",
title = "A Note on the Generalized {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "26",
number = "1",
pages = "14--19",
month = feb,
year = "1988",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:02 MDT 2011",
bibsource = "http://www.fq.math.ca/26-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/26-1/lee.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Pethe:1988:GGL,
author = "S. Pethe and A. F. Horadam",
title = "Generalized {Gaussian} {Lucas} Primordial Functions",
journal = j-FIB-QUART,
volume = "26",
number = "1",
pages = "20--30",
month = feb,
year = "1988",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:02 MDT 2011",
bibsource = "http://www.fq.math.ca/26-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/26-1/pethe.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Monzingo:1988:PDS,
author = "M. G. Monzingo",
title = "On Prime Divisors of Sequences of Integers Involving
Squares",
journal = j-FIB-QUART,
volume = "26",
number = "1",
pages = "31--32",
month = feb,
year = "1988",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:02 MDT 2011",
bibsource = "http://www.fq.math.ca/26-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/26-1/monzingo.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Imai:1988:EC,
author = "Yasuyuki Imai and Yasuo Seto and Shotaro Tanaka and
Hiroshi Yutani",
title = "An Expansion of $ x^m $ and Its Coefficients",
journal = j-FIB-QUART,
volume = "26",
number = "1",
pages = "33--39",
month = feb,
year = "1988",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:02 MDT 2011",
bibsource = "http://www.fq.math.ca/26-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/26-1/imai.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bowman:1988:NGD,
author = "Douglas Bowman",
title = "A New Generalization of {Davison}'s Theorem",
journal = j-FIB-QUART,
volume = "26",
number = "1",
pages = "40--45",
month = feb,
year = "1988",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:02 MDT 2011",
bibsource = "http://www.fq.math.ca/26-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/26-1/bowman.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Mollin:1988:GFP,
author = "R. A. Mollin",
title = "Generalized {Fibonacci} Primitive Roots, and Class
Numbers of Real Quadratic Fields",
journal = j-FIB-QUART,
volume = "26",
number = "1",
pages = "46--53",
month = feb,
year = "1988",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:02 MDT 2011",
bibsource = "http://www.fq.math.ca/26-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/26-1/mollin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Colman:1988:CSP,
author = "W. J. A. Colman",
title = "On Certain Semi-Perfect Cuboids",
journal = j-FIB-QUART,
volume = "26",
number = "1",
pages = "54--57",
month = feb,
year = "1988",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:02 MDT 2011",
bibsource = "http://www.fq.math.ca/26-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/26-1/colman.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ludington:1988:GTI,
author = "Anne L. Ludington",
title = "Generalized Transposable Integers",
journal = j-FIB-QUART,
volume = "26",
number = "1",
pages = "58--63",
month = feb,
year = "1988",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:02 MDT 2011",
bibsource = "http://www.fq.math.ca/26-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/26-1/ludington.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Yang:1988:LPC,
author = "Kung-Wei Yang",
title = "Limits of $q$-Polynomial Coefficients",
journal = j-FIB-QUART,
volume = "26",
number = "1",
pages = "64--69",
month = feb,
year = "1988",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:02 MDT 2011",
bibsource = "http://www.fq.math.ca/26-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/26-1/yang.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Poonen:1988:PCS,
author = "Bjorn Poonen",
title = "Periodicity of a Combinatorial Sequence",
journal = j-FIB-QUART,
volume = "26",
number = "1",
pages = "70--76",
month = feb,
year = "1988",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:02 MDT 2011",
bibsource = "http://www.fq.math.ca/26-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/26-1/poonen.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:1988:JPC,
author = "A. F. Horadam",
title = "{Jacobsthal} and {Pell} Curves",
journal = j-FIB-QUART,
volume = "26",
number = "1",
pages = "77--83",
month = feb,
year = "1988",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:02 MDT 2011",
bibsource = "http://www.fq.math.ca/26-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/26-1/horadam2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1988:R,
author = "Anonymous",
title = "Referees",
journal = j-FIB-QUART,
volume = "26",
number = "1",
pages = "84--??",
month = feb,
year = "1988",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:02 MDT 2011",
bibsource = "http://www.fq.math.ca/26-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/26-1/referees.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1988:EPSa,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "26",
number = "1",
pages = "85--88",
month = feb,
year = "1988",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:02 MDT 2011",
bibsource = "http://www.fq.math.ca/26-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/26-1/elementary26-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1988:APSa,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "26",
number = "1",
pages = "89--97",
month = feb,
year = "1988",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:02 MDT 2011",
bibsource = "http://www.fq.math.ca/26-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/26-1/advanced26-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:1988:EFL,
author = "A. F. Horadam",
title = "Elliptic Functions and {Lambert} Series in the
Summation of Reciprocals in Certain
Recurrence-Generated Sequences",
journal = j-FIB-QUART,
volume = "26",
number = "2",
pages = "98--114",
month = may,
year = "1988",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:04 MDT 2011",
bibsource = "http://www.fq.math.ca/26-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/26-2/horadam.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Filipponi:1988:MAC,
author = "Piero Filipponi and A. F. Horadam",
title = "A Matrix Approach to Certain Identities",
journal = j-FIB-QUART,
volume = "26",
number = "2",
pages = "115--126",
month = may,
year = "1988",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:04 MDT 2011",
bibsource = "http://www.fq.math.ca/26-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/26-2/filipponi.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kiss:1988:NSD,
author = "Peter Kiss",
title = "On the Number of Solutions of the {Diophantine}
Equation $ \binom (x, p) = \binom (y, 2) $",
journal = j-FIB-QUART,
volume = "26",
number = "2",
pages = "127--129",
month = may,
year = "1988",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:04 MDT 2011",
bibsource = "http://www.fq.math.ca/26-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/26-2/kiss.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1988:TICb,
author = "Anonymous",
title = "{Third International Conference} Announcement",
journal = j-FIB-QUART,
volume = "26",
number = "2",
pages = "130--??",
month = may,
year = "1988",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:04 MDT 2011",
bibsource = "http://www.fq.math.ca/26-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/26-2/announcement.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lin:1988:MTI,
author = "Pin-Yen Lin",
title = "{De Moivre}-Type Identities for the {Tribonacci}
Numbers",
journal = j-FIB-QUART,
volume = "26",
number = "2",
pages = "131--134",
month = may,
year = "1988",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:04 MDT 2011",
bibsource = "http://www.fq.math.ca/26-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/26-2/lin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horibe:1988:ETD,
author = "Yasuichi Horibe",
title = "Entropy of Terminal Distributions and the {Fibonacci}
Trees",
journal = j-FIB-QUART,
volume = "26",
number = "2",
pages = "135--140",
month = may,
year = "1988",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:04 MDT 2011",
bibsource = "http://www.fq.math.ca/26-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/26-2/horibe.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Creely:1988:LTN,
author = "Joseph W. Creely",
title = "The Length of a Three-Number Game",
journal = j-FIB-QUART,
volume = "26",
number = "2",
pages = "141--143",
month = may,
year = "1988",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:04 MDT 2011",
bibsource = "http://www.fq.math.ca/26-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/26-2/creely.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Pethe:1988:SIT,
author = "S. Pethe",
title = "Some Identities for {Tribonacci} Sequences",
journal = j-FIB-QUART,
volume = "26",
number = "2",
pages = "144--151",
month = may,
year = "1988",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:04 MDT 2011",
bibsource = "http://www.fq.math.ca/26-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/26-2/pethe.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Zulauf:1988:FSS,
author = "A. Zulauf and J. C. Turner",
title = "{Fibonacci} Sequences of Sets and Their Duals",
journal = j-FIB-QUART,
volume = "26",
number = "2",
pages = "152--156",
month = may,
year = "1988",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:04 MDT 2011",
bibsource = "http://www.fq.math.ca/26-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/26-2/zulauf.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kuipers:1988:DCS,
author = "L. Kuipers and J.-S. Shiue",
title = "On the {$ L^p $}-Discrepancy of Certain Sequences",
journal = j-FIB-QUART,
volume = "26",
number = "2",
pages = "157--162",
month = may,
year = "1988",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:04 MDT 2011",
bibsource = "http://www.fq.math.ca/26-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/26-2/kuipers.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cooper:1988:PAF,
author = "Curtis N. Cooper and Robert E. Kennedy",
title = "A Partial Asymptotic Formula for the {Niven} Numbers",
journal = j-FIB-QUART,
volume = "26",
number = "2",
pages = "163--168",
month = may,
year = "1988",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:04 MDT 2011",
bibsource = "http://www.fq.math.ca/26-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/26-2/cooper.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{McNeill:1988:CDS,
author = "R. B. McNeill",
title = "On Certain Divisibility Sequences",
journal = j-FIB-QUART,
volume = "26",
number = "2",
pages = "169--171",
month = may,
year = "1988",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:04 MDT 2011",
bibsource = "http://www.fq.math.ca/26-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/26-2/mcneill.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Waterhouse:1988:ISC,
author = "William C. Waterhouse",
title = "Integral $4$ by $4$ Skew Circulants",
journal = j-FIB-QUART,
volume = "26",
number = "2",
pages = "172--177",
month = may,
year = "1988",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:04 MDT 2011",
bibsource = "http://www.fq.math.ca/26-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/26-2/waterhouse.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Sternheimer:1988:RII,
author = "R. M. Sternheimer",
title = "On a Result Involving Iterated Exponentiation",
journal = j-FIB-QUART,
volume = "26",
number = "2",
pages = "178--180",
month = may,
year = "1988",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:04 MDT 2011",
bibsource = "http://www.fq.math.ca/26-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/26-2/sternheimer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1988:EPSb,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "26",
number = "2",
pages = "181--185",
month = may,
year = "1988",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:04 MDT 2011",
bibsource = "http://www.fq.math.ca/26-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/26-2/elementary26-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1988:APSb,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "26",
number = "2",
pages = "186--193",
month = may,
year = "1988",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:04 MDT 2011",
bibsource = "http://www.fq.math.ca/26-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/26-2/advanced26-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1988:TBA,
author = "Anonymous",
title = "A Tribute to {Brother Alfred Brousseau}",
journal = j-FIB-QUART,
volume = "26",
number = "3",
pages = "194--??",
month = aug,
year = "1988",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:07 MDT 2011",
bibsource = "http://www.fq.math.ca/26-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/26-3/memoriam.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ludington:1988:LNG,
author = "Anne L. Ludington",
title = "Length of the $7$-Number Game",
journal = j-FIB-QUART,
volume = "26",
number = "3",
pages = "195--204",
month = aug,
year = "1988",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:07 MDT 2011",
bibsource = "http://www.fq.math.ca/26-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/26-3/ludington.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Turner:1988:FF,
author = "John C. Turner",
title = "On {Folyominoes} and {Feudominoes}",
journal = j-FIB-QUART,
volume = "26",
number = "3",
pages = "205--218",
month = aug,
year = "1988",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:07 MDT 2011",
bibsource = "http://www.fq.math.ca/26-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/26-3/turner1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Shannon:1988:GFC,
author = "A. G. Shannon and A. F. Horadam",
title = "Generalized {Fibonacci} Continued Fractions",
journal = j-FIB-QUART,
volume = "26",
number = "3",
pages = "219--223",
month = aug,
year = "1988",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:07 MDT 2011",
bibsource = "http://www.fq.math.ca/26-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/26-3/shannon.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{DeLeon:1988:CFT,
author = "Morris Jack DeLeon",
title = "{Carlitz} Four-Tuples",
journal = j-FIB-QUART,
volume = "26",
number = "3",
pages = "224--232",
month = aug,
year = "1988",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:07 MDT 2011",
bibsource = "http://www.fq.math.ca/26-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/26-3/deleon.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Turner:1988:FWP,
author = "J. C. Turner",
title = "{Fibonacci} Word Patterns and Binary Sequences",
journal = j-FIB-QUART,
volume = "26",
number = "3",
pages = "233--246",
month = aug,
year = "1988",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:07 MDT 2011",
bibsource = "http://www.fq.math.ca/26-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/26-3/turner2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Larcher:1988:NEP,
author = "Gerhard Larcher",
title = "A New Extremal Property of the {Fibonacci} Ratio",
journal = j-FIB-QUART,
volume = "26",
number = "3",
pages = "247--255",
month = aug,
year = "1988",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:07 MDT 2011",
bibsource = "http://www.fq.math.ca/26-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/26-3/larcher.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Pihko:1988:FLR,
author = "Jukka Pihko",
title = "On {Fibonacci} and {Lucas} Representations and a
Theorem of {Lekkerkerker}",
journal = j-FIB-QUART,
volume = "26",
number = "3",
pages = "256--261",
month = aug,
year = "1988",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:07 MDT 2011",
bibsource = "http://www.fq.math.ca/26-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/26-3/pihko.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hensley:1988:WST,
author = "Douglas Hensley",
title = "A Winning Strategy at Taxman",
journal = j-FIB-QUART,
volume = "26",
number = "3",
pages = "262--270",
month = aug,
year = "1988",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:07 MDT 2011",
bibsource = "http://www.fq.math.ca/26-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/26-3/hensley.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ehrhart:1988:PN,
author = "Eugene Ehrhart",
title = "On Prime Numbers",
journal = j-FIB-QUART,
volume = "26",
number = "3",
pages = "271--274",
month = aug,
year = "1988",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:07 MDT 2011",
bibsource = "http://www.fq.math.ca/26-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/26-3/ehrhart.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{McCarthy:1988:GMI,
author = "P. J. McCarthy",
title = "A Generalization of {Metrod}'s Identity",
journal = j-FIB-QUART,
volume = "26",
number = "3",
pages = "275--277",
month = aug,
year = "1988",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:07 MDT 2011",
bibsource = "http://www.fq.math.ca/26-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/26-3/mccarthy.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1988:EPSc,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "26",
number = "3",
pages = "278--282",
month = aug,
year = "1988",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:07 MDT 2011",
bibsource = "http://www.fq.math.ca/26-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/26-3/elementary26-3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1988:APSc,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "26",
number = "3",
pages = "283--288",
month = aug,
year = "1988",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:07 MDT 2011",
bibsource = "http://www.fq.math.ca/26-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/26-3/advanced26-3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Freitag:1988:RTI,
author = "Herta T. Freitag",
title = "A Report on the {Third International Conference on
Fibonacci Numbers and Their Applications}",
journal = j-FIB-QUART,
volume = "26",
number = "4",
pages = "289--??",
month = nov,
year = "1988",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:09 MDT 2011",
bibsource = "http://www.fq.math.ca/26-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/26-4/report-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wiedemann:1988:IQE,
author = "Doug Wiedemann",
title = "An Iterated Quadratic Extension of {GF}(2)",
journal = j-FIB-QUART,
volume = "26",
number = "4",
pages = "290--295",
month = nov,
year = "1988",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:09 MDT 2011",
bibsource = "http://www.fq.math.ca/26-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/26-4/wiedemann.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Williams:1988:NP,
author = "H. C. Williams",
title = "A Note on the Primality of $ 6^{2^n} + 1 $ and $
10^{2^n} + 1 $",
journal = j-FIB-QUART,
volume = "26",
number = "4",
pages = "296--305",
month = nov,
year = "1988",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:09 MDT 2011",
bibsource = "http://www.fq.math.ca/26-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/26-4/williams.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Levine:1988:SMR,
author = "Shari Lynn Levine",
title = "Suppose More Rabbits are {Born}",
journal = j-FIB-QUART,
volume = "26",
number = "4",
pages = "306--311",
month = nov,
year = "1988",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:09 MDT 2011",
bibsource = "http://www.fq.math.ca/26-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/26-4/levine.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wall:1988:NUP,
author = "Charles R. Wall",
title = "New Unitary Perfect Numbers have at Least Nine Odd
Components",
journal = j-FIB-QUART,
volume = "26",
number = "4",
pages = "312--317",
month = nov,
year = "1988",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:09 MDT 2011",
bibsource = "http://www.fq.math.ca/26-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/26-4/wall.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Capocelli:1988:NFT,
author = "Renato M. Capocelli",
title = "A Note on {Fibonacci} Trees and the {Zeckendorf}
Representation of Integers",
journal = j-FIB-QUART,
volume = "26",
number = "4",
pages = "318--324",
month = nov,
year = "1988",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:09 MDT 2011",
bibsource = "http://www.fq.math.ca/26-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/26-4/capocelli.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Haukkanen:1988:NSM,
author = "Pentti Haukkanen",
title = "A Note on Specially Multiplicative Arithmetic
Functions",
journal = j-FIB-QUART,
volume = "26",
number = "4",
pages = "325--327",
month = nov,
year = "1988",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:09 MDT 2011",
bibsource = "http://www.fq.math.ca/26-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/26-4/haukkanen.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Tirman:1988:IDF,
author = "Alvin Tirman and T. Henry {Jablonski, Jr.}",
title = "Identities Derived on a {Fibonacci} Multiplication
Table",
journal = j-FIB-QUART,
volume = "26",
number = "4",
pages = "328--331",
month = nov,
year = "1988",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:09 MDT 2011",
bibsource = "http://www.fq.math.ca/26-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/26-4/tirman.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ewell:1988:STT,
author = "John A. Ewell",
title = "On Sums of Three Triangular Numbers",
journal = j-FIB-QUART,
volume = "26",
number = "4",
pages = "332--335",
month = nov,
year = "1988",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:09 MDT 2011",
bibsource = "http://www.fq.math.ca/26-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/26-4/ewell.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Makowski:1988:SEF,
author = "Andrzej Makowski",
title = "{Stroeker}'s Equation and {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "26",
number = "4",
pages = "336--337",
month = nov,
year = "1988",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:09 MDT 2011",
bibsource = "http://www.fq.math.ca/26-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/26-4/makowski.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Colman:1988:SOC,
author = "W. J. A. Colman",
title = "Some Observations on the Classical Cuboid and Its
Parametric Solutions",
journal = j-FIB-QUART,
volume = "26",
number = "4",
pages = "338--343",
month = nov,
year = "1988",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:09 MDT 2011",
bibsource = "http://www.fq.math.ca/26-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/26-4/colman.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Duvall:1988:PPC,
author = "Paul Duvall and Theresa Vaughan",
title = "{Pell} Polynomials and a Conjecture of {Mahon} and
{Horadam}",
journal = j-FIB-QUART,
volume = "26",
number = "4",
pages = "344--353",
month = nov,
year = "1988",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:09 MDT 2011",
bibsource = "http://www.fq.math.ca/26-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/26-4/duvall.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Turner:1988:CTP,
author = "John C. Turner",
title = "Convolution Trees and {Pascal-$T$} Triangles",
journal = j-FIB-QUART,
volume = "26",
number = "4",
pages = "354--365",
month = nov,
year = "1988",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:09 MDT 2011",
bibsource = "http://www.fq.math.ca/26-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/26-4/turner.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horak:1988:NTO,
author = "Pavel Hor{\'a}k",
title = "A Note on the Third-Order Strong Divisibility
Sequences",
journal = j-FIB-QUART,
volume = "26",
number = "4",
pages = "366--371",
month = nov,
year = "1988",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:09 MDT 2011",
bibsource = "http://www.fq.math.ca/26-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/26-4/horak.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1988:EPSd,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "26",
number = "4",
pages = "372--376",
month = nov,
year = "1988",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:09 MDT 2011",
bibsource = "http://www.fq.math.ca/26-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/26-4/elementary26-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1988:APSd,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "26",
number = "4",
pages = "377--381",
month = nov,
year = "1988",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:09 MDT 2011",
bibsource = "http://www.fq.math.ca/26-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/26-4/advanced26-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1988:BRB,
author = "Anonymous",
title = "Book Review: {{\booktitle{The Book of Squares}}}",
journal = j-FIB-QUART,
volume = "26",
number = "4",
pages = "382--??",
month = nov,
year = "1988",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:09 MDT 2011",
bibsource = "http://www.fq.math.ca/26-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "See \cite{Fibonacci:1987:BS}.",
URL = "http://www.fq.math.ca/Scanned/26-4/review.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1988:VI,
author = "Anonymous",
title = "Volume Index",
journal = j-FIB-QUART,
volume = "26",
number = "4",
pages = "383--??",
month = nov,
year = "1988",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:09 MDT 2011",
bibsource = "http://www.fq.math.ca/26-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/26-4/index.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bernstein:1989:PPT,
author = "Leon Bernstein",
title = "On Primitive {Pythagorean} Triangles with Equal
Perimeters",
journal = j-FIB-QUART,
volume = "27",
number = "1",
pages = "2--6",
month = feb,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:11 MDT 2011",
bibsource = "http://www.fq.math.ca/27-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-1/bernstein.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Atanassov:1989:GFS,
author = "Krassimir T. Atanassov",
title = "On a Generalization of the {Fibonacci} Sequence in the
Case of Three Sequences",
journal = j-FIB-QUART,
volume = "27",
number = "1",
pages = "7--10",
month = feb,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:11 MDT 2011",
bibsource = "http://www.fq.math.ca/27-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-1/atanassov.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ehrlich:1989:PFS,
author = "Amos Ehrlich",
title = "On the Periods of the {Fibonacci} Sequence Modulo
$m$",
journal = j-FIB-QUART,
volume = "27",
number = "1",
pages = "11--13",
month = feb,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:11 MDT 2011",
bibsource = "http://www.fq.math.ca/27-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-1/ehrlich.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rawsthorne:1989:HMN,
author = "Daniel A. Rawsthorne",
title = "How Many $1$'s Are Needed?",
journal = j-FIB-QUART,
volume = "27",
number = "1",
pages = "14--17",
month = feb,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:11 MDT 2011",
bibsource = "http://www.fq.math.ca/27-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-1/rawsthorne.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{vanRavenstein:1989:OSP,
author = "Tony van Ravenstein",
title = "Optimal Spacing of Points on a Circle",
journal = j-FIB-QUART,
volume = "27",
number = "1",
pages = "18--24",
month = feb,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:11 MDT 2011",
bibsource = "http://www.fq.math.ca/27-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-1/vanravenstein.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Somer:1989:CRO,
author = "Lawrence Somer",
title = "Congruence Relations for $k$ th-Order Linear
Recurrences",
journal = j-FIB-QUART,
volume = "27",
number = "1",
pages = "25--30",
month = feb,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:11 MDT 2011",
bibsource = "http://www.fq.math.ca/27-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-1/somer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1989:R,
author = "Anonymous",
title = "Referees",
journal = j-FIB-QUART,
volume = "27",
number = "1",
pages = "31--32",
month = feb,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:11 MDT 2011",
bibsource = "http://www.fq.math.ca/27-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-1/referees.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Sulanke:1989:RRD,
author = "Robert A. Sulanke",
title = "A Recurrence Restricted by a Diagonal Condition:
Generalized {Catalan} Arrays",
journal = j-FIB-QUART,
volume = "27",
number = "1",
pages = "33--46",
month = feb,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:11 MDT 2011",
bibsource = "http://www.fq.math.ca/27-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-1/sulanke.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Morrison:1989:FLM,
author = "John F. Morrison",
title = "{Fibonacci}-Like Matrices",
journal = j-FIB-QUART,
volume = "27",
number = "1",
pages = "47--48",
month = feb,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:11 MDT 2011",
bibsource = "http://www.fq.math.ca/27-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-1/morrison.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Knopfmacher:1989:RRN,
author = "Arnold Knopfmacher and John Knopfmacher",
title = "Representations for Real Numbers via $k$ th Powers of
Integers",
journal = j-FIB-QUART,
volume = "27",
number = "1",
pages = "49--60",
month = feb,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:11 MDT 2011",
bibsource = "http://www.fq.math.ca/27-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-1/knopfmacher.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Howard:1989:CNR,
author = "F. T. Howard and E. K. Hayashi",
title = "Congruences for Numbers of {Ramanujan}",
journal = j-FIB-QUART,
volume = "27",
number = "1",
pages = "61--69",
month = feb,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:11 MDT 2011",
bibsource = "http://www.fq.math.ca/27-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-1/howard.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Necochea:1989:CSQ,
author = "Alejandro Necochea and Larry Bennett",
title = "On a Certain Sequence of Quotients of a Sequence",
journal = j-FIB-QUART,
volume = "27",
number = "1",
pages = "70--75",
month = feb,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:11 MDT 2011",
bibsource = "http://www.fq.math.ca/27-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-1/necochea.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Turner:1989:AOW,
author = "J. C. Turner",
title = "The Alpha and the Omega of the {Wythoff} Pairs",
journal = j-FIB-QUART,
volume = "27",
number = "1",
pages = "76--86",
month = feb,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:11 MDT 2011",
bibsource = "http://www.fq.math.ca/27-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-1/turner.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1989:EPSa,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "27",
number = "1",
pages = "87--91",
month = feb,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:11 MDT 2011",
bibsource = "http://www.fq.math.ca/27-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-1/elementary27-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1989:APSa,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "27",
number = "1",
pages = "92--97",
month = feb,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:11 MDT 2011",
bibsource = "http://www.fq.math.ca/27-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-1/advanced27-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ming:1989:TFN,
author = "Luo Ming",
title = "On Triangular {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "27",
number = "2",
pages = "98--108",
month = may,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:13 MDT 2011",
bibsource = "http://www.fq.math.ca/27-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-2/ming.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gillespie:1989:GFL,
author = "Frank S. Gillespie",
title = "A Generalization of {Fermat's Little Theorem}",
journal = j-FIB-QUART,
volume = "27",
number = "2",
pages = "109--115",
month = may,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:13 MDT 2011",
bibsource = "http://www.fq.math.ca/27-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-2/gillespie.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Du:1989:SMW,
author = "Bau-Sen Du",
title = "A Simple Method which Generates Infinitely Many
Congruence Identities",
journal = j-FIB-QUART,
volume = "27",
number = "2",
pages = "116--123",
month = may,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:13 MDT 2011",
bibsource = "http://www.fq.math.ca/27-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-2/du.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1989:AFIa,
author = "Anonymous",
title = "Announcement on {Fourth International Conference on
Fibonacci Numbers and Their Applications}",
journal = j-FIB-QUART,
volume = "27",
number = "2",
pages = "124--??",
month = may,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:13 MDT 2011",
bibsource = "http://www.fq.math.ca/27-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-2/announcement.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Padmavathamma:1989:AGF,
author = "Padmavathamma",
title = "On {Andrews}' Generalized {Frobenius} Partitions",
journal = j-FIB-QUART,
volume = "27",
number = "2",
pages = "125--130",
month = may,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:13 MDT 2011",
bibsource = "http://www.fq.math.ca/27-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-2/padmavathamma.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Duvall:1989:RCT,
author = "Paul Duvall and Theresa P. Vaughan",
title = "Recursions for {Carlitz} Triples",
journal = j-FIB-QUART,
volume = "27",
number = "2",
pages = "131--138",
month = may,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:13 MDT 2011",
bibsource = "http://www.fq.math.ca/27-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-2/duvall.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kennedy:1989:NR,
author = "Robert E. Kennedy and Curtis N. Cooper",
title = "{Niven} Repunits and $ 10^n \equiv 1 \pmod {n} $",
journal = j-FIB-QUART,
volume = "27",
number = "2",
pages = "139--143",
month = may,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:13 MDT 2011",
bibsource = "http://www.fq.math.ca/27-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-2/kennedy.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Najar:1989:OGU,
author = "Rudolph M. Najar",
title = "Operations on Generators of Unitary Amicable Pairs",
journal = j-FIB-QUART,
volume = "27",
number = "2",
pages = "144--152",
month = may,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:13 MDT 2011",
bibsource = "http://www.fq.math.ca/27-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-2/najar.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cseh:1989:RRP,
author = "L{\'a}szl{\'o} Cseh and Imre Mer{\'e}nyi",
title = "Recurrence Relations for a Power Series",
journal = j-FIB-QUART,
volume = "27",
number = "2",
pages = "153--155",
month = may,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:13 MDT 2011",
bibsource = "http://www.fq.math.ca/27-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-2/cseh.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Georghiou:1989:SSO,
author = "C. Georghiou",
title = "On Some Second-Order Linear Recurrences",
journal = j-FIB-QUART,
volume = "27",
number = "2",
pages = "156--159",
month = may,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:13 MDT 2011",
bibsource = "http://www.fq.math.ca/27-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-2/georghiou.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Fielder:1989:CHE,
author = "Daniel C. Fielder and Cecil O. Alford",
title = "On a Conjecture by {Hoggatt} with Extensions to
{Hoggatt} Sums and {Hoggatt} Triangles",
journal = j-FIB-QUART,
volume = "27",
number = "2",
pages = "160--168",
month = may,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:13 MDT 2011",
bibsource = "http://www.fq.math.ca/27-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-2/fielder.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Agarwal:1989:PRS,
author = "A. K. Agarwal",
title = "Properties of a Recurring Sequences",
journal = j-FIB-QUART,
volume = "27",
number = "2",
pages = "169--175",
month = may,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:13 MDT 2011",
bibsource = "http://www.fq.math.ca/27-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-2/agarwal.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Toth:1989:AFC,
author = "L. T{\'o}th and J. S{\'a}ndor",
title = "An Asymptotic Formula Concerning a Generalized {Euler}
Function",
journal = j-FIB-QUART,
volume = "27",
number = "2",
pages = "176--180",
month = may,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:13 MDT 2011",
bibsource = "http://www.fq.math.ca/27-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-2/toth.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1989:EPSb,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "27",
number = "2",
pages = "181--185",
month = may,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:13 MDT 2011",
bibsource = "http://www.fq.math.ca/27-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-2/elementary27-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Shallit:1989:LE,
author = "Jeffrey Shallit",
title = "Letter to the Editor",
journal = j-FIB-QUART,
volume = "27",
number = "2",
pages = "186--??",
month = may,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:13 MDT 2011",
bibsource = "http://www.fq.math.ca/27-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-2/letter.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1989:APSb,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "27",
number = "2",
pages = "187--193",
month = may,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:13 MDT 2011",
bibsource = "http://www.fq.math.ca/27-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-2/advanced27-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Tauber:1989:SNR,
author = "Selmo Tauber",
title = "Some New Results on Quasi-Orthogonal Numbers",
journal = j-FIB-QUART,
volume = "27",
number = "3",
pages = "194--200",
month = jun,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:15 MDT 2011",
bibsource = "http://www.fq.math.ca/27-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-3/tauber.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Sagan:1989:PAT,
author = "Bruce E. Sagan and Yeong-Nan Yeh",
title = "Probabilistic Algorithms for Trees",
journal = j-FIB-QUART,
volume = "27",
number = "3",
pages = "201--207",
month = jun,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:15 MDT 2011",
bibsource = "http://www.fq.math.ca/27-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-3/sagan.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1989:AFIb,
author = "Anonymous",
title = "Announcement: {Fourth International Conference on
Fibonacci Numbers and Their Applications}",
journal = j-FIB-QUART,
volume = "27",
number = "3",
pages = "208--??",
month = jun,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:15 MDT 2011",
bibsource = "http://www.fq.math.ca/27-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-3/announcement.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Philippou:1989:CFT,
author = "Andreas N. Philippou and Costas Georghiou",
title = "Convolutions of {Fibonacci}-Type Polynomials of Order
{$K$} and the Negative Binomial Distributions of the
Same Order",
journal = j-FIB-QUART,
volume = "27",
number = "3",
pages = "209--216",
month = jun,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:15 MDT 2011",
bibsource = "http://www.fq.math.ca/27-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-3/philippou.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kwong:1989:MPM,
author = "Y. H. Harris Kwong",
title = "Minimum Periods of {$ S(n, k) $} Modulo {$M$}",
journal = j-FIB-QUART,
volume = "27",
number = "3",
pages = "217--220",
month = jun,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:15 MDT 2011",
bibsource = "http://www.fq.math.ca/27-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-3/kwong.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Dubeau:1989:GFN,
author = "Fran{\c{c}}ois Dubeau",
title = "On $r$-Generalized {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "27",
number = "3",
pages = "221--228",
month = jun,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:15 MDT 2011",
bibsource = "http://www.fq.math.ca/27-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-3/dubeau.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Turner:1989:NFF,
author = "John C. Turner",
title = "Note on a Family of {Fibonacci}-Like Sequences",
journal = j-FIB-QUART,
volume = "27",
number = "3",
pages = "229--231",
month = jun,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:15 MDT 2011",
bibsource = "http://www.fq.math.ca/27-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-3/turner.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{DiPorto:1989:NFP,
author = "Adina {Di Porto} and Piero Filipponi",
title = "Note on the {Fibonacci} Pseudoprimes",
journal = j-FIB-QUART,
volume = "27",
number = "3",
pages = "232--241",
month = jun,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:15 MDT 2011",
bibsource = "http://www.fq.math.ca/27-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-3/diporto.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Sander:1989:RTW,
author = "J. W. Sander",
title = "A Remark on a Theorem of {Weinstein}",
journal = j-FIB-QUART,
volume = "27",
number = "3",
pages = "242--246",
month = jun,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:15 MDT 2011",
bibsource = "http://www.fq.math.ca/27-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-3/sander.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Alameddine:1989:FNB,
author = "A. F. Alameddine",
title = "{Fibonacci} Numbers and Bipyramids",
journal = j-FIB-QUART,
volume = "27",
number = "3",
pages = "247--252",
month = jun,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:15 MDT 2011",
bibsource = "http://www.fq.math.ca/27-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-3/alameddine.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Granville:1989:CD,
author = "Andrew Granville",
title = "On a Class of Determinants",
journal = j-FIB-QUART,
volume = "27",
number = "3",
pages = "253--256",
month = jun,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:15 MDT 2011",
bibsource = "http://www.fq.math.ca/27-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-3/granville.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Creely:1989:GPU,
author = "Joseph W. Creely",
title = "Generating Partitions Using a Modified Greedy
Algorithm",
journal = j-FIB-QUART,
volume = "27",
number = "3",
pages = "257--258",
month = jun,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:15 MDT 2011",
bibsource = "http://www.fq.math.ca/27-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-3/creely.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Adler:1989:CDE,
author = "Irving Adler",
title = "Concerning the Divisors of {$N$} and the Exponents
They Belong to Modulo {$ (N - 1) $} or {$ (N + 1) $}",
journal = j-FIB-QUART,
volume = "27",
number = "3",
pages = "259--266",
month = jun,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:15 MDT 2011",
bibsource = "http://www.fq.math.ca/27-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-3/adler.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brooks:1989:GRR,
author = "Jeffrey A. Brooks",
title = "A General Recurrence Relation for Reflections in
Multiple Glass Plates",
journal = j-FIB-QUART,
volume = "27",
number = "3",
pages = "267--271",
month = jun,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:15 MDT 2011",
bibsource = "http://www.fq.math.ca/27-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-3/brooks.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bollinger:1989:MSP,
author = "Richard C. Bollinger",
title = "The {Mann--Shanks} Primality Criterion in the
{Pascal-$T$} Triangle {$ T_3 $}",
journal = j-FIB-QUART,
volume = "27",
number = "3",
pages = "272--275",
month = jun,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:15 MDT 2011",
bibsource = "http://www.fq.math.ca/27-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-3/bollinger.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Freitag:1989:RIS,
author = "Herta T. Freitag and Piero Filipponi",
title = "On the {$F$}-Representation of Integral Sequences {$
\{ F^2_n / d \} $} and {$ \{ L^2_n / d \} $} Where $d$
is Either a {Fibonacci} or a {Lucas} Number",
journal = j-FIB-QUART,
volume = "27",
number = "3",
pages = "276--282",
month = jun,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:15 MDT 2011",
bibsource = "http://www.fq.math.ca/27-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-3/freitag-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Corley:1989:CFE,
author = "H. W. Corley",
title = "The Convolved {Fibonacci} Equation",
journal = j-FIB-QUART,
volume = "27",
number = "3",
pages = "283--284",
month = jun,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:15 MDT 2011",
bibsource = "http://www.fq.math.ca/27-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-3/corley.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cohen:1989:NCW,
author = "G. L. Cohen and S. L. Segal",
title = "A Note Concerning Those $n$ for Which {$ \Phi (n) + 1
$} Divides $n$",
journal = j-FIB-QUART,
volume = "27",
number = "3",
pages = "285--286",
month = jun,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:15 MDT 2011",
bibsource = "http://www.fq.math.ca/27-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-3/cohen.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Mootha:1989:CES,
author = "Vamsi Krishna Mootha and George Berzsenyi",
title = "Characterizations and Extendibility of {$ P_t
$}-Sets",
journal = j-FIB-QUART,
volume = "27",
number = "3",
pages = "287--289",
month = jun,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:15 MDT 2011",
bibsource = "http://www.fq.math.ca/27-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-3/mootha.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Moore:1989:EAL,
author = "Thomas E. Moore",
title = "{Euclid}'s Algorithm and {Lam{\'e}}'s Theorem on a
Microcomputer",
journal = j-FIB-QUART,
volume = "27",
number = "4",
pages = "290--295",
month = aug,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:17 MDT 2011",
bibsource = "http://www.fq.math.ca/27-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-4/moore.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Arkin:1989:UFF,
author = "J. Arkin and D. C. Arney and G. E. Bergum and S. A.
Vurr and B. J. Porter",
title = "Unique {Fibonacci} Formulas",
journal = j-FIB-QUART,
volume = "27",
number = "4",
pages = "296--302",
month = aug,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:17 MDT 2011",
bibsource = "http://www.fq.math.ca/27-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-4/arkin1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Asveld:1989:FLD,
author = "Peter R. J. Asveld",
title = "{Fibonacci}-Like Differential Equations with a
Polynomial Nonhomogeneous Part",
journal = j-FIB-QUART,
volume = "27",
number = "4",
pages = "303--309",
month = aug,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:17 MDT 2011",
bibsource = "http://www.fq.math.ca/27-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-4/asveld.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hunter:1989:ITC,
author = "Aleck J. Hunter and M. Kovarik",
title = "Integral Triangles and Circles",
journal = j-FIB-QUART,
volume = "27",
number = "4",
pages = "310--315",
month = aug,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:17 MDT 2011",
bibsource = "http://www.fq.math.ca/27-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-4/hunter.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1989:AFIc,
author = "Anonymous",
title = "Announcement: {Fourth International Conference on
Fibonacci Numbers and Their Applications}",
journal = j-FIB-QUART,
volume = "27",
number = "4",
pages = "316--??",
month = aug,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:17 MDT 2011",
bibsource = "http://www.fq.math.ca/27-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-4/announcement.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Graham:1989:UPN,
author = "S. W. Graham",
title = "Unitary Perfect Numbers with Squarefree Odd Part",
journal = j-FIB-QUART,
volume = "27",
number = "4",
pages = "317--322",
month = aug,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:17 MDT 2011",
bibsource = "http://www.fq.math.ca/27-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-4/graham.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Arkin:1989:RST,
author = "J. Arkin and D. C. Arney and G. E. Bergum and S. A.
Burr and B. J. Porter",
title = "Recurring-Sequence Tiling",
journal = j-FIB-QUART,
volume = "27",
number = "4",
pages = "323--332",
month = aug,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:17 MDT 2011",
bibsource = "http://www.fq.math.ca/27-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-4/arkin2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Singh:1989:DEG,
author = "Sahib Singh",
title = "A {Diophantine} Equation with Generalization",
journal = j-FIB-QUART,
volume = "27",
number = "4",
pages = "333--334",
month = aug,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:17 MDT 2011",
bibsource = "http://www.fq.math.ca/27-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-4/singh.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Jacobson:1989:AUD,
author = "Eliot Jacobson",
title = "Almost Uniform Distribution of the {Fibonacci}
Sequence",
journal = j-FIB-QUART,
volume = "27",
number = "4",
pages = "335--337",
month = aug,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:17 MDT 2011",
bibsource = "http://www.fq.math.ca/27-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-4/jacobson.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bruckman:1989:GZT,
author = "Paul S. Bruckman",
title = "The Generalized {Zeckendorf} Theorems",
journal = j-FIB-QUART,
volume = "27",
number = "4",
pages = "338--347",
month = aug,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:17 MDT 2011",
bibsource = "http://www.fq.math.ca/27-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-4/bruckman.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kwong:1989:MPB,
author = "Y. H. Harris Kwong",
title = "Minimum Periods of Binomial Coefficients Modulo
{$M$}",
journal = j-FIB-QUART,
volume = "27",
number = "4",
pages = "348--351",
month = aug,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:17 MDT 2011",
bibsource = "http://www.fq.math.ca/27-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-4/kwong.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Fishburn:1989:TSG,
author = "Peter C. Fishburn and Andrew M. Odlyzko and Fred S.
Roberts",
title = "Two-Sided Generalized {Fibonacci} Sequences",
journal = j-FIB-QUART,
volume = "27",
number = "4",
pages = "352--361",
month = aug,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:17 MDT 2011",
bibsource = "http://www.fq.math.ca/27-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-4/fishburn.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gould:1989:EPP,
author = "H. W. Gould",
title = "Equivalence of {Piza}'s Primality Criterion with that
of {Gould--Greig} and Its Dual Relationship to the
{Mann--Shanks} Criterion",
journal = j-FIB-QUART,
volume = "27",
number = "4",
pages = "362--365",
month = aug,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:17 MDT 2011",
bibsource = "http://www.fq.math.ca/27-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-4/gould.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Prasad:1989:SDF,
author = "V. Siva Rama Prasad and M. V. S. Bhramarambica",
title = "On the {Schnirelmann} Density of {$M$}-Free Integers",
journal = j-FIB-QUART,
volume = "27",
number = "4",
pages = "366--368",
month = aug,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:17 MDT 2011",
bibsource = "http://www.fq.math.ca/27-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-4/prasad.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{DSouza:1989:TRN,
author = "Harry D'Souza",
title = "Trapping a Real Number between Adjacent Rationals",
journal = j-FIB-QUART,
volume = "27",
number = "4",
pages = "369--371",
month = aug,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:17 MDT 2011",
bibsource = "http://www.fq.math.ca/27-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-4/dsouza.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Zeilberger:1989:CPA,
author = "Doron Zeilberger",
title = "A Combinatorial Problem that Arose in Biophysics",
journal = j-FIB-QUART,
volume = "27",
number = "4",
pages = "372--??",
month = aug,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:17 MDT 2011",
bibsource = "http://www.fq.math.ca/27-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-4/zeilberger.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1989:EPSc,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "27",
number = "4",
pages = "373--377",
month = aug,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:17 MDT 2011",
bibsource = "http://www.fq.math.ca/27-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-4/elementary27-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1989:APSc,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "27",
number = "4",
pages = "378--385",
month = aug,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:17 MDT 2011",
bibsource = "http://www.fq.math.ca/27-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-4/advanced27-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Damphousse:1989:APR,
author = "Pierre Damphousse",
title = "The Arithmetic of Powers and Roots in {$ G l_2 (C) $}
and {$ S l_2 (C) $}",
journal = j-FIB-QUART,
volume = "27",
number = "5",
pages = "386--401",
month = nov,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:19 MDT 2011",
bibsource = "http://www.fq.math.ca/27-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-5/damphousse.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gauthier:1989:DF,
author = "N. Gauthier",
title = "Derivation of a Formula for $ \sum r^k x^r $",
journal = j-FIB-QUART,
volume = "27",
number = "5",
pages = "402--407",
month = nov,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:19 MDT 2011",
bibsource = "http://www.fq.math.ca/27-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-5/gauthier.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1989:AFId,
author = "Anonymous",
title = "Announcement: {Fourth International Conference on
Fibonacci Numbers and Their Applications}",
journal = j-FIB-QUART,
volume = "27",
number = "5",
pages = "408--??",
month = nov,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:19 MDT 2011",
bibsource = "http://www.fq.math.ca/27-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-5/announcement.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Schissel:1989:CTT,
author = "Eric Schissel",
title = "Characterizations of Three Types of Completeness",
journal = j-FIB-QUART,
volume = "27",
number = "5",
pages = "409--419",
month = nov,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:19 MDT 2011",
bibsource = "http://www.fq.math.ca/27-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-5/schissel.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Winley:1989:HTC,
author = "Graham Winley and Keith Tognetti and Tony van
Ravenstein",
title = "{Hurwitz}'s Theorem and the Continued Fraction with
Constant Terms",
journal = j-FIB-QUART,
volume = "27",
number = "5",
pages = "420--423",
month = nov,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:19 MDT 2011",
bibsource = "http://www.fq.math.ca/27-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-5/winley.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Castellanos:1989:GBF,
author = "Dario Castellanos",
title = "A Generalization of {Binet}'s Formula and Some of Its
Consequences",
journal = j-FIB-QUART,
volume = "27",
number = "5",
pages = "424--438",
month = nov,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:19 MDT 2011",
bibsource = "http://www.fq.math.ca/27-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-5/castellanos.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Turner:1989:TOC,
author = "J. C. Turner and A. G. Shannon",
title = "On {$K$ th}-Order Colored Convolution Trees and a
Generalized {Zeckendorf} Integer Representation
Theorem",
journal = j-FIB-QUART,
volume = "27",
number = "5",
pages = "439--447",
month = nov,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:19 MDT 2011",
bibsource = "http://www.fq.math.ca/27-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-5/turner.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bicknell-Johnson:1989:RRP,
author = "Marjorie Bicknell-Johnson",
title = "Retrograde Renegades and the {Pascal} Connection:
Repeating Decimals Represented by {Fibonacci} and Other
Sequences Appearing from Right to Left",
journal = j-FIB-QUART,
volume = "27",
number = "5",
pages = "448--457",
month = nov,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:19 MDT 2011",
bibsource = "http://www.fq.math.ca/27-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-5/bicknell.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Eckert:1989:GIT,
author = "Ernest J. Eckert and Preben Dahl Vestergaard",
title = "Groups of Integral Triangles",
journal = j-FIB-QUART,
volume = "27",
number = "5",
pages = "458--464",
month = nov,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:19 MDT 2011",
bibsource = "http://www.fq.math.ca/27-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-5/eckert.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Tripathi:1989:BFP,
author = "Amitabha Tripathi",
title = "A Box Filling Problem",
journal = j-FIB-QUART,
volume = "27",
number = "5",
pages = "465--466",
month = nov,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:19 MDT 2011",
bibsource = "http://www.fq.math.ca/27-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-5/tripathi.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1989:EPSd,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "27",
number = "5",
pages = "467--472",
month = nov,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:19 MDT 2011",
bibsource = "http://www.fq.math.ca/27-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-5/elementary27-5.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1989:APSd,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "27",
number = "5",
pages = "473--478",
month = nov,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:19 MDT 2011",
bibsource = "http://www.fq.math.ca/27-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-5/advanced27-5.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1989:VI,
author = "Anonymous",
title = "Volume Index",
journal = j-FIB-QUART,
volume = "27",
number = "5",
pages = "479--??",
month = nov,
year = "1989",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:19 MDT 2011",
bibsource = "http://www.fq.math.ca/27-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/27-5/index.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1990:R,
author = "Anonymous",
title = "Referees",
journal = j-FIB-QUART,
volume = "28",
number = "1",
pages = "2--??",
month = feb,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:21 MDT 2011",
bibsource = "http://www.fq.math.ca/28-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-1/referees-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Mahon:1990:TOD,
author = "Br. J. M. Mahon and A. F. Horadam",
title = "Third-Order Diagonal Functions of {Pell} Polynomials",
journal = j-FIB-QUART,
volume = "28",
number = "1",
pages = "3--10",
month = feb,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:21 MDT 2011",
bibsource = "http://www.fq.math.ca/28-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-1/mahon.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hagis:1990:ONP,
author = "Peter {Hagis, Jr.}",
title = "Odd Nonunitary Perfect Numbers",
journal = j-FIB-QUART,
volume = "28",
number = "1",
pages = "11--14",
month = feb,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:21 MDT 2011",
bibsource = "http://www.fq.math.ca/28-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-1/hagis.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1990:AFIa,
author = "Anonymous",
title = "Announcement: {Fourth International Conference on
Fibonacci Numbers and Their Applications}",
journal = j-FIB-QUART,
volume = "28",
number = "1",
pages = "15--??",
month = feb,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:21 MDT 2011",
bibsource = "http://www.fq.math.ca/28-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-1/announcement.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kundert:1990:SCT,
author = "Esayas George Kundert",
title = "A {Von Staudt--Clausen} Theorem for Certain
{Bernoullianlike} Numbers and Regular Primes of the
First and Second Kind",
journal = j-FIB-QUART,
volume = "28",
number = "1",
pages = "16--21",
month = feb,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:21 MDT 2011",
bibsource = "http://www.fq.math.ca/28-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-1/kundert.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kimberling:1990:FH,
author = "Clark Kimberling",
title = "{Fibonacci} Hyperbolas",
journal = j-FIB-QUART,
volume = "28",
number = "1",
pages = "22--27",
month = feb,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:21 MDT 2011",
bibsource = "http://www.fq.math.ca/28-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-1/kimberling.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Chang:1990:CFB,
author = "Derek K. Chang",
title = "On Circular {Fibonacci} Binary Sequences",
journal = j-FIB-QUART,
volume = "28",
number = "1",
pages = "28--30",
month = feb,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:21 MDT 2011",
bibsource = "http://www.fq.math.ca/28-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-1/chang.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Mohanty:1990:PN,
author = "Supriya Mohanty and S. P. Mohanty",
title = "{Pythagorean} Numbers",
journal = j-FIB-QUART,
volume = "28",
number = "1",
pages = "31--42",
month = feb,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:21 MDT 2011",
bibsource = "http://www.fq.math.ca/28-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-1/mohanty.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Balasubramanian:1990:FPA,
author = "N. Balasubramanian",
title = "On Friendly-Pairs of Arithmetic Functions",
journal = j-FIB-QUART,
volume = "28",
number = "1",
pages = "43--47",
month = feb,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:21 MDT 2011",
bibsource = "http://www.fq.math.ca/28-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-1/balasubramanian.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Sanders:1990:PGT,
author = "Lee Knisley Sanders",
title = "A Proof from Graph Theory for a {Fibonacci} Identity",
journal = j-FIB-QUART,
volume = "28",
number = "1",
pages = "48--55",
month = feb,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:21 MDT 2011",
bibsource = "http://www.fq.math.ca/28-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-1/sanders.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Monzingo:1990:S,
author = "M. G. Monzingo",
title = "On the Sum $ \sum_{a = 1}^{p - 1} (a / p)a $",
journal = j-FIB-QUART,
volume = "28",
number = "1",
pages = "56--59",
month = feb,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:21 MDT 2011",
bibsource = "http://www.fq.math.ca/28-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-1/monzingo.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kalman:1990:SPM,
author = "Dan Kalman",
title = "Sums of Powers by Matrix Methods",
journal = j-FIB-QUART,
volume = "28",
number = "1",
pages = "60--71",
month = feb,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:21 MDT 2011",
bibsource = "http://www.fq.math.ca/28-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-1/kalman.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Engel:1990:FNL,
author = "Konrad Engel",
title = "On the {Fibonacci} Number of an {$ M \times N $}
Lattice",
journal = j-FIB-QUART,
volume = "28",
number = "1",
pages = "72--78",
month = feb,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:21 MDT 2011",
bibsource = "http://www.fq.math.ca/28-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-1/engel.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Sander:1990:FPR,
author = "J. W. Sander",
title = "On {Fibonacci} Primitive Roots",
journal = j-FIB-QUART,
volume = "28",
number = "1",
pages = "79--80",
month = feb,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:21 MDT 2011",
bibsource = "http://www.fq.math.ca/28-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-1/sander.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gutman:1990:RFR,
author = "Ivan Gutman and Sven J. Cyvin",
title = "A Result on $1$-Factors Related to {Fibonacci}
Numbers",
journal = j-FIB-QUART,
volume = "28",
number = "1",
pages = "81--84",
month = feb,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:21 MDT 2011",
bibsource = "http://www.fq.math.ca/28-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-1/gutman.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1990:EPSa,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "28",
number = "1",
pages = "85--89",
month = feb,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:21 MDT 2011",
bibsource = "http://www.fq.math.ca/28-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-1/elementary28-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:1990:LE,
author = "A. F. Horadam and J. Lahr",
title = "Letter to the Editor",
journal = j-FIB-QUART,
volume = "28",
number = "1",
pages = "90--??",
month = feb,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:21 MDT 2011",
bibsource = "http://www.fq.math.ca/28-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-1/letter.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1990:APSa,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "28",
number = "1",
pages = "91--97",
month = feb,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:21 MDT 2011",
bibsource = "http://www.fq.math.ca/28-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-1/advanced28-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wall:1990:TDC,
author = "Charles R. Wall",
title = "Terminating Decimals in the {Cantor} Ternary Set",
journal = j-FIB-QUART,
volume = "28",
number = "2",
pages = "98--101",
month = may,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:23 MDT 2011",
bibsource = "http://www.fq.math.ca/28-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-2/wall.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Nodine:1990:NRT,
author = "Mark Nodine",
title = "Note on the Resistance through a Static Carry
Look-Ahead Gate",
journal = j-FIB-QUART,
volume = "28",
number = "2",
pages = "102--106",
month = may,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:23 MDT 2011",
bibsource = "http://www.fq.math.ca/28-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-2/nodine.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bicknell-Johnson:1990:DPF,
author = "Marjorie Bicknell-Johnson",
title = "Divisibility Properties of the {Fibonacci} Numbers
Minus One, Generalized to {$ C_n = C_{n - 1} + C_{n -
2} + k $}",
journal = j-FIB-QUART,
volume = "28",
number = "2",
pages = "107--112",
month = may,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:23 MDT 2011",
bibsource = "http://www.fq.math.ca/28-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-2/bicknell.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cohn:1990:PD,
author = "J. H. E. Cohn",
title = "Palindromic Differences",
journal = j-FIB-QUART,
volume = "28",
number = "2",
pages = "113--120",
month = may,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:23 MDT 2011",
bibsource = "http://www.fq.math.ca/28-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-2/cohn.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Johnson:1990:HP,
author = "Karen Anne Johnson",
title = "A Hypercube Problem",
journal = j-FIB-QUART,
volume = "28",
number = "2",
pages = "121--128",
month = may,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:23 MDT 2011",
bibsource = "http://www.fq.math.ca/28-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-2/johnson.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lin:1990:RDR,
author = "Pin-Yen Lin",
title = "Repeating Decimals Represented by {Tribonacci}
Sequences Appearing from Left to Right or from Right to
Left",
journal = j-FIB-QUART,
volume = "28",
number = "2",
pages = "129--139",
month = may,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:23 MDT 2011",
bibsource = "http://www.fq.math.ca/28-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-2/lin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1990:BR,
author = "Anonymous",
title = "Book Review: {{\booktitle{A new chapter for
Pythagorean triples}}, by A. G. Schaake and J. C.
Turner}",
journal = j-FIB-QUART,
volume = "28",
number = "2",
pages = "140, 155",
month = may,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:23 MDT 2011",
bibsource = "http://www.fq.math.ca/28-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "See \cite{Schaake:1989:NCP}.",
URL = "http://www.fq.math.ca/Scanned/28-2/review-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lander:1990:ESU,
author = "Leon J. Lander",
title = "Equal Sums of Unlike Powers",
journal = j-FIB-QUART,
volume = "28",
number = "2",
pages = "141--150",
month = may,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:23 MDT 2011",
bibsource = "http://www.fq.math.ca/28-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-2/lander.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bezuszka:1990:PFF,
author = "Stanley Bezuszka and Stephen Kokoska",
title = "A Polynomial Formula for {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "28",
number = "2",
pages = "151--155",
month = may,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:23 MDT 2011",
bibsource = "http://www.fq.math.ca/28-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-2/bezuszka.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Subramanian:1990:SHP,
author = "P. R. Subramanian",
title = "Springs of the {Hermite} Polynomials",
journal = j-FIB-QUART,
volume = "28",
number = "2",
pages = "156--161",
month = may,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:23 MDT 2011",
bibsource = "http://www.fq.math.ca/28-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-2/subramanian.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Jones:1990:EXK,
author = "Patricia Jones",
title = "On the Equation $ \phi $ (x) + $ \phi $ (k) = $ \phi $
(x+k)",
journal = j-FIB-QUART,
volume = "28",
number = "2",
pages = "162--165",
month = may,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:23 MDT 2011",
bibsource = "http://www.fq.math.ca/28-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-2/jones.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gould:1990:STF,
author = "H. W. Gould",
title = "Series Transformations for Finding Recurrences for
Sequences",
journal = j-FIB-QUART,
volume = "28",
number = "2",
pages = "166--171",
month = may,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:23 MDT 2011",
bibsource = "http://www.fq.math.ca/28-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-2/gould.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Beck:1990:POF,
author = "Istvan Beck",
title = "Partial Orders and the {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "28",
number = "2",
pages = "172--174",
month = may,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:23 MDT 2011",
bibsource = "http://www.fq.math.ca/28-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-2/beck.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Burrage:1990:GFP,
author = "Kevin Burrage",
title = "Generalized {Fibonacci} Polynomials and the Functional
Iteration of Rational Functions of Degree One",
journal = j-FIB-QUART,
volume = "28",
number = "2",
pages = "175--180",
month = may,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:23 MDT 2011",
bibsource = "http://www.fq.math.ca/28-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-2/burrage.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Monzingo:1990:CDS,
author = "M. G. Monzingo",
title = "On Certain Divisibility Sequences",
journal = j-FIB-QUART,
volume = "28",
number = "2",
pages = "181--??",
month = may,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:23 MDT 2011",
bibsource = "http://www.fq.math.ca/28-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-2/monzingo.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1990:EPSb,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "28",
number = "2",
pages = "182--186",
month = may,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:23 MDT 2011",
bibsource = "http://www.fq.math.ca/28-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-2/elementary28-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1990:APSb,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "28",
number = "2",
pages = "187--191",
month = may,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:23 MDT 2011",
bibsource = "http://www.fq.math.ca/28-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-2/advanced28-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1990:AFIb,
author = "Anonymous",
title = "Announcement of {Fourth International Conference on
Fibonacci Numbers and Their Applications}",
journal = j-FIB-QUART,
volume = "28",
number = "2",
pages = "192--193",
month = may,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:23 MDT 2011",
bibsource = "http://www.fq.math.ca/28-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-2/announcement.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Agarwal:1990:NKN,
author = "A. K. Agarwal",
title = "On a New Kind of Numbers",
journal = j-FIB-QUART,
volume = "28",
number = "3",
pages = "194--199",
month = aug,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:25 MDT 2011",
bibsource = "http://www.fq.math.ca/28-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-3/agarwal.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ibstedt:1990:SSL,
author = "Henry Ibstedt",
title = "Some Sequences of Large Integers",
journal = j-FIB-QUART,
volume = "28",
number = "3",
pages = "200--203",
month = aug,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:25 MDT 2011",
bibsource = "http://www.fq.math.ca/28-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-3/ibstedt.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{vanRavenstein:1990:CTG,
author = "Tony van Ravenstein and Graham Winley and Keith
Tognetti",
title = "Characteristics and the Three Gap Theorem",
journal = j-FIB-QUART,
volume = "28",
number = "3",
pages = "204--213",
month = aug,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:25 MDT 2011",
bibsource = "http://www.fq.math.ca/28-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-3/vanravenstein.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1990:AFIc,
author = "Anonymous",
title = "Announcement: {Fourth International Conference on
Fibonacci Numbers and Their Applications}",
journal = j-FIB-QUART,
volume = "28",
number = "3",
pages = "214--??",
month = aug,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:25 MDT 2011",
bibsource = "http://www.fq.math.ca/28-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-3/announcement.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Krattenthaler:1990:TVL,
author = "Christian Krattenthaler",
title = "A Two-Variable {Lagrange}-Type Inversion Formula with
Applications to Expansion and Convolution Identities",
journal = j-FIB-QUART,
volume = "28",
number = "3",
pages = "215--222",
month = aug,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:25 MDT 2011",
bibsource = "http://www.fq.math.ca/28-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-3/krattenthaler.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Andre-Jeannin:1990:LSS,
author = "R. Andr{\'e}-Jeannin",
title = "{Lambert} Series and the Summation of Reciprocals in
Certain {Fibonacci--Lucas}-Type Sequences",
journal = j-FIB-QUART,
volume = "28",
number = "3",
pages = "223--226",
month = aug,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:25 MDT 2011",
bibsource = "http://www.fq.math.ca/28-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-3/andre-jeannin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Jacobson:1990:DRT,
author = "Eliot Jacobson",
title = "The Distribution of Residues of Two-Term Recurrence
Sequences",
journal = j-FIB-QUART,
volume = "28",
number = "3",
pages = "227--229",
month = aug,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:25 MDT 2011",
bibsource = "http://www.fq.math.ca/28-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-3/jacobson.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Turner:1990:GDZ,
author = "J. C. Turner and T. D. Robb",
title = "Generalizations of the Dual {Zeckendorf} Integer
Representation Theorems --- Discovery by {Fibonacci}
Trees and Word Patterns",
journal = j-FIB-QUART,
volume = "28",
number = "3",
pages = "230--239",
month = aug,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:25 MDT 2011",
bibsource = "http://www.fq.math.ca/28-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-3/turner.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bradford:1990:FST,
author = "Phillip G. Bradford",
title = "The {Fibonacci} Sequence and the Time Complexity of
Generating the {Conway} Polynomial and Related
Topological Invariants",
journal = j-FIB-QUART,
volume = "28",
number = "3",
pages = "240--251",
month = aug,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:25 MDT 2011",
bibsource = "http://www.fq.math.ca/28-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-3/bradford.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Chu:1990:AIS,
author = "W. C. Chu",
title = "An Algebraic Identity and Some Partial Convolutions",
journal = j-FIB-QUART,
volume = "28",
number = "3",
pages = "252--254",
month = aug,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:25 MDT 2011",
bibsource = "http://www.fq.math.ca/28-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-3/chu.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Sandor:1990:CNT,
author = "J. S{\'a}ndor and L. T{\'o}th",
title = "On Certain Number-Theoretic Inequalities",
journal = j-FIB-QUART,
volume = "28",
number = "3",
pages = "255--258",
month = aug,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:25 MDT 2011",
bibsource = "http://www.fq.math.ca/28-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-3/sandor.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ludington-Young:1990:LNG,
author = "Anne Ludington-Young",
title = "Length of the $n$-Number Game",
journal = j-FIB-QUART,
volume = "28",
number = "3",
pages = "259--265",
month = aug,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:25 MDT 2011",
bibsource = "http://www.fq.math.ca/28-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-3/ludington.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Arkin:1990:TPP,
author = "J. Arkin and D. C. Arney and G. E. Bergum and S. A.
Burr and B. J. Porter",
title = "Tiling the $k$ th Power of a Power Series",
journal = j-FIB-QUART,
volume = "28",
number = "3",
pages = "266--272",
month = aug,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:25 MDT 2011",
bibsource = "http://www.fq.math.ca/28-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-3/arkin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Singh:1990:HBP,
author = "Sahib Singh",
title = "On a {Hoggatt--Bergum} Paper with Totient Function
Approach for Divisibility and Congruence Relations",
journal = j-FIB-QUART,
volume = "28",
number = "3",
pages = "273--276",
month = aug,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:25 MDT 2011",
bibsource = "http://www.fq.math.ca/28-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-3/singh.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1990:EPSc,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "28",
number = "3",
pages = "277--282",
month = aug,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:25 MDT 2011",
bibsource = "http://www.fq.math.ca/28-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-3/elementary28-3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1990:APSc,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "28",
number = "3",
pages = "283--289",
month = aug,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:25 MDT 2011",
bibsource = "http://www.fq.math.ca/28-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-3/advanced28-3-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Knopfmacher:1990:RPR,
author = "Arnold Knopfmacher",
title = "A Radix Product Representation for Real Numbers",
journal = j-FIB-QUART,
volume = "28",
number = "4",
pages = "290--297",
month = nov,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:27 MDT 2011",
bibsource = "http://www.fq.math.ca/28-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-4/knopfmacher.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Guerin:1990:PC,
author = "E. E. Guerin",
title = "Partitions with {``$ M(a) $ Copies of $a$''}",
journal = j-FIB-QUART,
volume = "28",
number = "4",
pages = "298--301",
month = nov,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:27 MDT 2011",
bibsource = "http://www.fq.math.ca/28-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-4/guerin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ehrlich:1990:PDN,
author = "Amos Ehrlich",
title = "Periods in {Ducci}'s $n$-Number Game of Differences",
journal = j-FIB-QUART,
volume = "28",
number = "4",
pages = "302--305",
month = nov,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:27 MDT 2011",
bibsource = "http://www.fq.math.ca/28-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-4/ehrlich.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Robbins:1990:FNF,
author = "Neville Robbins",
title = "{Fibonacci} Numbers of the Form {$ C X^2 $}, Where {$
1 \leq C \leq 1000 $}",
journal = j-FIB-QUART,
volume = "28",
number = "4",
pages = "306--315",
month = nov,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:27 MDT 2011",
bibsource = "http://www.fq.math.ca/28-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-4/robbins.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Haukkanen:1990:VIT,
author = "Pentti Haukkanen",
title = "{Vinogradov}'s Inversion Theorem for Generalized
Arithmetical Functions",
journal = j-FIB-QUART,
volume = "28",
number = "4",
pages = "316--320",
month = nov,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:27 MDT 2011",
bibsource = "http://www.fq.math.ca/28-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-4/haukkanen.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Koutras:1990:TCN,
author = "M. Koutras",
title = "Two Classes of Numbers Appearing in the Convolution of
Binomial-Truncated {Poisson} and {Poisson}-Truncated
Binomial Random Variables",
journal = j-FIB-QUART,
volume = "28",
number = "4",
pages = "321--333",
month = nov,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:27 MDT 2011",
bibsource = "http://www.fq.math.ca/28-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-4/koutras.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Butler:1990:TNP,
author = "Jon T. Butler",
title = "On teh Number of Propagation Paths in Multilayer
Media",
journal = j-FIB-QUART,
volume = "28",
number = "4",
pages = "334--339",
month = nov,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:27 MDT 2011",
bibsource = "http://www.fq.math.ca/28-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-4/butler.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Nagasaka:1990:APL,
author = "Kenji Nagasaka and Jau-Shyong Shiue",
title = "Asymptotic Positiveness of Linear Recurrence
Sequences",
journal = j-FIB-QUART,
volume = "28",
number = "4",
pages = "340--346",
month = nov,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:27 MDT 2011",
bibsource = "http://www.fq.math.ca/28-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-4/nagasaka.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{DiPorto:1990:GFP,
author = "Adino {Di Porto} and Piero Filipponi and Emilio
Montolivo",
title = "On the Generalized {Fibonacci} Pseudoprimes",
journal = j-FIB-QUART,
volume = "28",
number = "4",
pages = "347--353",
month = nov,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:27 MDT 2011",
bibsource = "http://www.fq.math.ca/28-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-4/diporto.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Freitag:1990:RFI,
author = "Herta T. Freitag",
title = "Report on the {Fourth International Conference on
Fibonacci Numbers and Their Applications}",
journal = j-FIB-QUART,
volume = "28",
number = "4",
pages = "354--??",
month = nov,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:27 MDT 2011",
bibsource = "http://www.fq.math.ca/28-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-4/report-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Howard:1990:ECG,
author = "F. T. Howard",
title = "Extensions of Congruences of {Glaisher} and {Nielsen}
Concerning {Stirling} Numbers",
journal = j-FIB-QUART,
volume = "28",
number = "4",
pages = "355--362",
month = nov,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:27 MDT 2011",
bibsource = "http://www.fq.math.ca/28-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-4/howard.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{McCarthy:1990:GFS,
author = "P. J. McCarthy and R. Sivaramakrishnan",
title = "Generalized {Fibonacci} Sequences via Arithmetical
Functions",
journal = j-FIB-QUART,
volume = "28",
number = "4",
pages = "363--370",
month = nov,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:27 MDT 2011",
bibsource = "http://www.fq.math.ca/28-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-4/mccarthy.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1990:EPSd,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "28",
number = "4",
pages = "371--375",
month = nov,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:27 MDT 2011",
bibsource = "http://www.fq.math.ca/28-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-4/elementary28-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1990:APSd,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "28",
number = "4",
pages = "376--382",
month = nov,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:27 MDT 2011",
bibsource = "http://www.fq.math.ca/28-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-4/advanced28-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1990:VI,
author = "Anonymous",
title = "Volume Index",
journal = j-FIB-QUART,
volume = "28",
number = "4",
pages = "383--??",
month = nov,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:27 MDT 2011",
bibsource = "http://www.fq.math.ca/28-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-4/index.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1990:AFId,
author = "Anonymous",
title = "Announcement: {Fifth International Conference}",
journal = j-FIB-QUART,
volume = "28",
number = "4",
pages = "384--??",
month = nov,
year = "1990",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:27 MDT 2011",
bibsource = "http://www.fq.math.ca/28-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/28-4/announcement.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1991:R,
author = "Anonymous",
title = "Referees",
journal = j-FIB-QUART,
volume = "29",
number = "1",
pages = "2--??",
month = feb,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:30 MDT 2011",
bibsource = "http://www.fq.math.ca/29-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-1/referees.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carroll:1991:DCP,
author = "Joseph E. Carroll and Ken Yanosko",
title = "The Determination of a Class of Primitive Integral
Triangles",
journal = j-FIB-QUART,
volume = "29",
number = "1",
pages = "3--6",
month = feb,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:30 MDT 2011",
bibsource = "http://www.fq.math.ca/29-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-1/carroll.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Tosic:1991:AEN,
author = "Ratko Tosic and Olga Bodroza",
title = "An Algebraic Expression for the Number of {Kekul{\'e}}
Structures of Benzenoid Chains",
journal = j-FIB-QUART,
volume = "29",
number = "1",
pages = "7--12",
month = feb,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:30 MDT 2011",
bibsource = "http://www.fq.math.ca/29-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-1/tosic.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Andre-Jeannin:1991:GCF,
author = "Richard Andr{\'e}-Jeannin",
title = "Generalized Complex {Fibonacci} and {Lucas}
Functions",
journal = j-FIB-QUART,
volume = "29",
number = "1",
pages = "13--18",
month = feb,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:30 MDT 2011",
bibsource = "http://www.fq.math.ca/29-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-1/andre-jeannin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Slivka:1991:MSP,
author = "John Slivka and Norman C. Severo",
title = "Measures of Sets Partitioning {Borel}'s Simple Normal
Numbers to Base $2$ in $ [0, 1] $",
journal = j-FIB-QUART,
volume = "29",
number = "1",
pages = "19--22",
month = feb,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:30 MDT 2011",
bibsource = "http://www.fq.math.ca/29-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-1/slivka.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1991:AFIa,
author = "Anonymous",
title = "Announcement: {Fifth International Conference}",
journal = j-FIB-QUART,
volume = "29",
number = "1",
pages = "23--??",
month = feb,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:30 MDT 2011",
bibsource = "http://www.fq.math.ca/29-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-1/announcement.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{McDaniel:1991:GCD,
author = "Wayne L. McDaniel",
title = "The {G.C.D.} in {Lucas} Sequences and {Lehmer} Number
Sequences",
journal = j-FIB-QUART,
volume = "29",
number = "1",
pages = "24--29",
month = feb,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:30 MDT 2011",
bibsource = "http://www.fq.math.ca/29-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-1/mcdaniel.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cohn:1991:RSI,
author = "J. H. E. Cohn",
title = "Recurrent Sequences Including {$N$}",
journal = j-FIB-QUART,
volume = "29",
number = "1",
pages = "30--36",
month = feb,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:30 MDT 2011",
bibsource = "http://www.fq.math.ca/29-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-1/cohn.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Jones:1991:CPR,
author = "Dixon J. Jones",
title = "Continued Powers and Roots",
journal = j-FIB-QUART,
volume = "29",
number = "1",
pages = "37--46",
month = feb,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:30 MDT 2011",
bibsource = "http://www.fq.math.ca/29-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-1/jones.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Shannon:1991:GSS,
author = "A. G. Shannon and A. F. Horadam",
title = "Generalized Staggered Sums",
journal = j-FIB-QUART,
volume = "29",
number = "1",
pages = "47--51",
month = feb,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:30 MDT 2011",
bibsource = "http://www.fq.math.ca/29-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-1/shannon.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Miller:1991:SFL,
author = "Allen R. Miller",
title = "Solutions of {Fermat's Last Equation} in Terms of
{Wright}'s Hypergeometric Function",
journal = j-FIB-QUART,
volume = "29",
number = "1",
pages = "52--56",
month = feb,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:30 MDT 2011",
bibsource = "http://www.fq.math.ca/29-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-1/miller.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Castellanos:1991:GRS,
author = "Dario Castellanos",
title = "A Generalization of a Result of {Shannon} and
{Horadam}",
journal = j-FIB-QUART,
volume = "29",
number = "1",
pages = "57--58",
month = feb,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:30 MDT 2011",
bibsource = "http://www.fq.math.ca/29-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-1/castellanos.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Moll:1991:FNC,
author = "Richard J. Moll and Shankar M. Venkatesan",
title = "{Fibonacci} Numbers are not Context-Free",
journal = j-FIB-QUART,
volume = "29",
number = "1",
pages = "59--61",
month = feb,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:30 MDT 2011",
bibsource = "http://www.fq.math.ca/29-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-1/moll.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bialek:1991:FE,
author = "Krystyna Bialek and Aleksander Grytczuk",
title = "On {Fermat}'s Equation",
journal = j-FIB-QUART,
volume = "29",
number = "1",
pages = "62--65",
month = feb,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:30 MDT 2011",
bibsource = "http://www.fq.math.ca/29-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-1/bialek.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Phong:1991:LPR,
author = "Bui Minh Phong",
title = "{Lucas} Primitive Roots",
journal = j-FIB-QUART,
volume = "29",
number = "1",
pages = "66--71",
month = feb,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:30 MDT 2011",
bibsource = "http://www.fq.math.ca/29-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-1/phong.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Somer:1991:DRC,
author = "Lawrence Somer",
title = "Distribution of Residues of Certain Second-Order
Linear Recurrences Modulo $p$ --- {II}",
journal = j-FIB-QUART,
volume = "29",
number = "1",
pages = "72--78",
month = feb,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:30 MDT 2011",
bibsource = "http://www.fq.math.ca/29-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-1/somer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Davis:1991:PTM,
author = "Kenneth S. Davis and William A. Webb",
title = "{Pascal}'s Triangle Modulo $4$",
journal = j-FIB-QUART,
volume = "29",
number = "1",
pages = "79--83",
month = feb,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:30 MDT 2011",
bibsource = "http://www.fq.math.ca/29-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-1/davis.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1991:EPSa,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "29",
number = "1",
pages = "84--88",
month = feb,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:30 MDT 2011",
bibsource = "http://www.fq.math.ca/29-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-1/elementary29-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1991:APSa,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "29",
number = "1",
pages = "89--97",
month = feb,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:30 MDT 2011",
bibsource = "http://www.fq.math.ca/29-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-1/advanced29-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Castellanos:1991:NBP,
author = "Dario Castellanos",
title = "A Note on {Bernoulli} Polynomials",
journal = j-FIB-QUART,
volume = "29",
number = "2",
pages = "98--102",
month = may,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:32 MDT 2011",
bibsource = "http://www.fq.math.ca/29-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-2/castellanos.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:1991:FML,
author = "A. F. Horadam",
title = "{Fibonacci}'s Mathematical Letter to {Master
Theodorus}",
journal = j-FIB-QUART,
volume = "29",
number = "2",
pages = "103--107",
month = may,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:32 MDT 2011",
bibsource = "http://www.fq.math.ca/29-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-2/horadam1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Mohanty:1991:MS,
author = "Supriya Mohanty",
title = "On Multi-Sets",
journal = j-FIB-QUART,
volume = "29",
number = "2",
pages = "108--113",
month = may,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:32 MDT 2011",
bibsource = "http://www.fq.math.ca/29-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-2/mohanty.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Giambalvo:1991:ACB,
author = "V. Giambalvo and Ray Mines and David J. Pengelley",
title = "$p$-Adic Congruences Between Binomial Coefficients",
journal = j-FIB-QUART,
volume = "29",
number = "2",
pages = "114--119",
month = may,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:32 MDT 2011",
bibsource = "http://www.fq.math.ca/29-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-2/giambalvo.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kimberling:1991:ZNS,
author = "Clark Kimberling",
title = "{Zeckendorf} Number Systems and Associated
Partitions",
journal = j-FIB-QUART,
volume = "29",
number = "2",
pages = "120--123",
month = may,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:32 MDT 2011",
bibsource = "http://www.fq.math.ca/29-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-2/kimberling.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Klein:1991:CRG,
author = "Shmuel T. Klein",
title = "Combinatorial Representation of Generalized
{Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "29",
number = "2",
pages = "124--131",
month = may,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:32 MDT 2011",
bibsource = "http://www.fq.math.ca/29-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-2/klein.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Andre-Jeannin:1991:NIC,
author = "Richard Andr{\'e}-Jeannin",
title = "A Note on the Irrationality of Certain {Lucas}
Infinite Series",
journal = j-FIB-QUART,
volume = "29",
number = "2",
pages = "132--135",
month = may,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:32 MDT 2011",
bibsource = "http://www.fq.math.ca/29-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-2/andre-jeannin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1991:AFIb,
author = "Anonymous",
title = "Announcement: {Fifth International Conference}",
journal = j-FIB-QUART,
volume = "29",
number = "2",
pages = "136--??",
month = may,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:32 MDT 2011",
bibsource = "http://www.fq.math.ca/29-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-2/announcement.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Agarwal:1991:CIA,
author = "A. K. Agarwal",
title = "Combinatorial Interpretations of the $q$-Analogues of
{$ L_{2 n + 1} $}",
journal = j-FIB-QUART,
volume = "29",
number = "2",
pages = "137--140",
month = may,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:32 MDT 2011",
bibsource = "http://www.fq.math.ca/29-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-2/agarwal.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Konvalina:1991:SUS,
author = "John Konvalina and Yi-Hsin Liu",
title = "Subsets Without Unit Separation and Products of
{Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "29",
number = "2",
pages = "141--144",
month = may,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:32 MDT 2011",
bibsource = "http://www.fq.math.ca/29-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-2/konvalina.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kennedy:1991:ETC,
author = "Robert E. Kennedy and Curtis N. Cooper",
title = "An Extension of a Theorem by {Cheo} and {Yien}
Concerning Digital Sums",
journal = j-FIB-QUART,
volume = "29",
number = "2",
pages = "145--149",
month = may,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:32 MDT 2011",
bibsource = "http://www.fq.math.ca/29-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-2/kennedy.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Dilcher:1991:ZCC,
author = "Karl Dilcher",
title = "Zeros of Certain Cyclotomy-Generated Polynomials",
journal = j-FIB-QUART,
volume = "29",
number = "2",
pages = "150--156",
month = may,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:32 MDT 2011",
bibsource = "http://www.fq.math.ca/29-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-2/dilcher.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brown:1991:SSA,
author = "Tom C. Brown and Allen R. Freedman",
title = "Some Sequences Associated with the Golden Ratio",
journal = j-FIB-QUART,
volume = "29",
number = "2",
pages = "157--159",
month = may,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:32 MDT 2011",
bibsource = "http://www.fq.math.ca/29-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-2/brown.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Yang:1991:DP,
author = "Kung-Wei Yang",
title = "$q$-Determinants and Permutations",
journal = j-FIB-QUART,
volume = "29",
number = "2",
pages = "160--163",
month = may,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:32 MDT 2011",
bibsource = "http://www.fq.math.ca/29-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-2/yang.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:1991:CAM,
author = "Alwyn F. Horadam and Piero Filipponi",
title = "{Cholesky} Algorithm Matrices of {Fibonacci} Type and
Properties of Generalized Sequences",
journal = j-FIB-QUART,
volume = "29",
number = "2",
pages = "164--173",
month = may,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:32 MDT 2011",
bibsource = "http://www.fq.math.ca/29-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-2/horadam2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Chow:1991:NCF,
author = "Timothy Chow",
title = "A New Characterization of the {Fibonacci}-Free
Partition",
journal = j-FIB-QUART,
volume = "29",
number = "2",
pages = "174--179",
month = may,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:32 MDT 2011",
bibsource = "http://www.fq.math.ca/29-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-2/chow.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1991:EPE,
author = "Anonymous",
title = "Elementary Problems Editor Retires",
journal = j-FIB-QUART,
volume = "29",
number = "2",
pages = "180--??",
month = may,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:32 MDT 2011",
bibsource = "http://www.fq.math.ca/29-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-2/notice.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillman:1991:EPSb,
author = "A. P. Hillman",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "29",
number = "2",
pages = "181--185",
month = may,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:32 MDT 2011",
bibsource = "http://www.fq.math.ca/29-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-2/elementary29-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1991:APSb,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "29",
number = "2",
pages = "186--193",
month = may,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:32 MDT 2011",
bibsource = "http://www.fq.math.ca/29-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-2/advanced29-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kimberling:1991:SOR,
author = "Clark Kimberling",
title = "Second-Order Recurrence and Iterates of $ [a n + 1 /
2] $",
journal = j-FIB-QUART,
volume = "29",
number = "3",
pages = "194--196",
month = aug,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:34 MDT 2011",
bibsource = "http://www.fq.math.ca/29-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-3/kimberling1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Englund:1991:EPR,
author = "David Englund",
title = "Entry Point Reciprocity of Characteristic Conjugate
Generalized {Fibonacci} Sequences",
journal = j-FIB-QUART,
volume = "29",
number = "3",
pages = "197--198",
month = aug,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:34 MDT 2011",
bibsource = "http://www.fq.math.ca/29-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-3/englund.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1991:AFIc,
author = "Anonymous",
title = "Announcement: {Fifth International Conference}",
journal = j-FIB-QUART,
volume = "29",
number = "3",
pages = "199--??",
month = aug,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:34 MDT 2011",
bibsource = "http://www.fq.math.ca/29-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-3/announcement.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Andre-Jeannin:1991:SCR,
author = "Richard Andr{\'e}-Jeannin",
title = "Summation of Certain Reciprocal Series Related to
{Fibonacci} and {Lucas} Numbers",
journal = j-FIB-QUART,
volume = "29",
number = "3",
pages = "200--204",
month = aug,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:34 MDT 2011",
bibsource = "http://www.fq.math.ca/29-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-3/andre-jeannin1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Andre-Jeannin:1991:SIS,
author = "Richard Andr{\'e}-Jeannin",
title = "Sequences of Integers Satisfying Recurrence
Relations",
journal = j-FIB-QUART,
volume = "29",
number = "3",
pages = "205--208",
month = aug,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:34 MDT 2011",
bibsource = "http://www.fq.math.ca/29-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-3/andre-jeannin2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Finch:1991:CAA,
author = "Steven R. Finch",
title = "Conjectures about $s$-Additive Sequences",
journal = j-FIB-QUART,
volume = "29",
number = "3",
pages = "209--214",
month = aug,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:34 MDT 2011",
bibsource = "http://www.fq.math.ca/29-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-3/finch.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cakic:1991:NEN,
author = "Nenad Caki{\'c}",
title = "A Note on {Euler}'s Numbers",
journal = j-FIB-QUART,
volume = "29",
number = "3",
pages = "215--216",
month = aug,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:34 MDT 2011",
bibsource = "http://www.fq.math.ca/29-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-3/cakic.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bunder:1991:ZRG,
author = "Martin Bunder and Keith Tognetti",
title = "The {Zeckendorf} Representation and the {Golden
Sequence}",
journal = j-FIB-QUART,
volume = "29",
number = "3",
pages = "217--219",
month = aug,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:34 MDT 2011",
bibsource = "http://www.fq.math.ca/29-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-3/bunder.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bateman:1991:PCM,
author = "R. A. Bateman and E. A. Clark and M. L. Hancock and C.
A. Reiter",
title = "The Period of Convergents Modulo {$M$} of Reduced
Quadratic Irrationals",
journal = j-FIB-QUART,
volume = "29",
number = "3",
pages = "220--229",
month = aug,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:34 MDT 2011",
bibsource = "http://www.fq.math.ca/29-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-3/bateman.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Antonini:1991:NUD,
author = "Rita Giuliano Antonini",
title = "On the Notion of Uniform Distribution Mod $1$",
journal = j-FIB-QUART,
volume = "29",
number = "3",
pages = "230--234",
month = aug,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:34 MDT 2011",
bibsource = "http://www.fq.math.ca/29-3.html;
https://www.math.utah.edu/pub/tex/bib/benfords-law.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-3/antonini.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
keywords = "Benford's Law",
}
@Article{Whitaker:1991:SRA,
author = "R. N. Whitaker and A. G. Shannon",
title = "Some Recursive Asymptotes",
journal = j-FIB-QUART,
volume = "29",
number = "3",
pages = "235--238",
month = aug,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:34 MDT 2011",
bibsource = "http://www.fq.math.ca/29-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-3/whitaker.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Long:1991:SOR,
author = "Calvin Long and John Bradshaw",
title = "Second-Order Recurrences and the
{Schr{\"o}der--Bernstein} Theorem",
journal = j-FIB-QUART,
volume = "29",
number = "3",
pages = "239--243",
month = aug,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:34 MDT 2011",
bibsource = "http://www.fq.math.ca/29-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-3/long.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kimberling:1991:STD,
author = "Clark Kimberling",
title = "Sets of Terms that Determine all the Terms of a Linear
Recurrence Sequence",
journal = j-FIB-QUART,
volume = "29",
number = "3",
pages = "244--248",
month = aug,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:34 MDT 2011",
bibsource = "http://www.fq.math.ca/29-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-3/kimberling2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Robbins:1991:SCT,
author = "Neville Robbins",
title = "Some Convolution-Type and Combinatorial Identities
Pertaining to Binary Linear Recurrences",
journal = j-FIB-QUART,
volume = "29",
number = "3",
pages = "249--255",
month = aug,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:34 MDT 2011",
bibsource = "http://www.fq.math.ca/29-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-3/robbins.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Filipponi:1991:NCL,
author = "Piero Filipponi",
title = "A Note on a Class of {Lucas} Sequences",
journal = j-FIB-QUART,
volume = "29",
number = "3",
pages = "256--263",
month = aug,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:34 MDT 2011",
bibsource = "http://www.fq.math.ca/29-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-3/filipponi.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Landman:1991:MPB,
author = "Bruce M. Landman and Raymond N. Greenwell",
title = "Multiplicative Partitions of Bipartite Numbers",
journal = j-FIB-QUART,
volume = "29",
number = "3",
pages = "264--267",
month = aug,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:34 MDT 2011",
bibsource = "http://www.fq.math.ca/29-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-3/landman.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Konvalina:1991:CIS,
author = "John Konvalina and Yi-Hsin Liu",
title = "A Combinatorial Interpretation of the Square of a
{Lucas} Number",
journal = j-FIB-QUART,
volume = "29",
number = "3",
pages = "268--270",
month = aug,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:34 MDT 2011",
bibsource = "http://www.fq.math.ca/29-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-3/konvalina.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Beslin:1991:RGM,
author = "Scott J. Beslin",
title = "Reciprocal {GCD} Matrices and {LCM} Matrices",
journal = j-FIB-QUART,
volume = "29",
number = "3",
pages = "271--274",
month = aug,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:34 MDT 2011",
bibsource = "http://www.fq.math.ca/29-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-3/beslin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Silverman:1991:SIS,
author = "Herb Silverman",
title = "Summing Infinite Series with Sex",
journal = j-FIB-QUART,
volume = "29",
number = "3",
pages = "275--276",
month = aug,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:34 MDT 2011",
bibsource = "http://www.fq.math.ca/29-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-3/silverman.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rabinowitz:1991:EPSa,
author = "Stanley Rabinowitz",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "29",
number = "3",
pages = "277--282",
month = aug,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:34 MDT 2011",
bibsource = "http://www.fq.math.ca/29-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-3/elementary29-3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1991:APSc,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "29",
number = "3",
pages = "283--289",
month = aug,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:34 MDT 2011",
bibsource = "http://www.fq.math.ca/29-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-3/advanced29-3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Charalambides:1991:LNP,
author = "Ch. A. Charalambides",
title = "{Lucas} Numbers and Polynomials of Order {$K$} and the
Length of the Longest Circular Success Run",
journal = j-FIB-QUART,
volume = "29",
number = "4",
pages = "290--297",
month = nov,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:36 MDT 2011",
bibsource = "http://www.fq.math.ca/29-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-4/charalambides.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Halter-Koch:1991:CFG,
author = "Franz Halter-Koch",
title = "Continued Fractions of Given Symmetric Period",
journal = j-FIB-QUART,
volume = "29",
number = "4",
pages = "298--303",
month = nov,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:36 MDT 2011",
bibsource = "http://www.fq.math.ca/29-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-4/halter-koch.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Andre-Jeannin:1991:DWE,
author = "Richard Andr{\'e}-Jeannin",
title = "On Determinants Whose Elements are Recurring Sequences
of Arbitrary Order",
journal = j-FIB-QUART,
volume = "29",
number = "4",
pages = "304--308",
month = nov,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:36 MDT 2011",
bibsource = "http://www.fq.math.ca/29-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-4/andre-jeannin1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1991:AFId,
author = "Anonymous",
title = "Announcement: {Fifth International Conference}",
journal = j-FIB-QUART,
volume = "29",
number = "4",
pages = "309--??",
month = nov,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:36 MDT 2011",
bibsource = "http://www.fq.math.ca/29-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-4/announcement.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lewin:1991:PFL,
author = "Mordechai Lewin",
title = "Periodic {Fibonacci} and {Lucas} Sequences",
journal = j-FIB-QUART,
volume = "29",
number = "4",
pages = "310--315",
month = nov,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:36 MDT 2011",
bibsource = "http://www.fq.math.ca/29-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-4/lewin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ferri:1991:NNT,
author = "G. Ferri and M. Faccio and A. D'Amico",
title = "A New Numerical Triangle Showing Links with
{Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "29",
number = "4",
pages = "316--321",
month = nov,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:36 MDT 2011",
bibsource = "http://www.fq.math.ca/29-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-4/ferri.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Philippou:1991:GMF,
author = "Andreas N. Philippou and Demetris L. Antzoulakos",
title = "Generalized Multivariate {Fibonacci} Polynomials of
Order {$K$} and the Multivariate Negative Binomial
Distributions of the Same Order",
journal = j-FIB-QUART,
volume = "29",
number = "4",
pages = "322--328",
month = nov,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:36 MDT 2011",
bibsource = "http://www.fq.math.ca/29-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-4/philippou.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Haukkanen:1991:GFP,
author = "Pentti Haukkanen and Jerzy Rutkowski",
title = "On Generating Functions for Powers of Recurrence
Sequences",
journal = j-FIB-QUART,
volume = "29",
number = "4",
pages = "329--332",
month = nov,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:36 MDT 2011",
bibsource = "http://www.fq.math.ca/29-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-4/haukkanen.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Pihko:1991:NTS,
author = "Jukka Pihko",
title = "A Note on a Theorem of {Schinzel}",
journal = j-FIB-QUART,
volume = "29",
number = "4",
pages = "333--338",
month = nov,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:36 MDT 2011",
bibsource = "http://www.fq.math.ca/29-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-4/pihko.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kimberling:1991:SOS,
author = "Clark Kimberling",
title = "Second-Order {Stolarsky} Arrays",
journal = j-FIB-QUART,
volume = "29",
number = "4",
pages = "339--342",
month = nov,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:36 MDT 2011",
bibsource = "http://www.fq.math.ca/29-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-4/kimberling.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Mahanthappa:1991:ASF,
author = "Mahesh K. Mahanthappa",
title = "Arithmetic Sequences and {Fibonacci} Quadratics",
journal = j-FIB-QUART,
volume = "29",
number = "4",
pages = "343--346",
month = nov,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:36 MDT 2011",
bibsource = "http://www.fq.math.ca/29-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-4/mahanthappa.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Jones:1991:P,
author = "Patricia Jones",
title = "$ \phi $-Partitions",
journal = j-FIB-QUART,
volume = "29",
number = "4",
pages = "347--350",
month = nov,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:36 MDT 2011",
bibsource = "http://www.fq.math.ca/29-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-4/jones.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Frappier:1991:IKE,
author = "Cl{\'e}ment Frappier",
title = "Iterations of a Kind of Exponentials",
journal = j-FIB-QUART,
volume = "29",
number = "4",
pages = "351--361",
month = nov,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:36 MDT 2011",
bibsource = "http://www.fq.math.ca/29-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-4/frappier.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Robbins:1991:NFL,
author = "Neville Robbins",
title = "A New Formula for {Lucas} Numbers",
journal = j-FIB-QUART,
volume = "29",
number = "4",
pages = "362--363",
month = nov,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:36 MDT 2011",
bibsource = "http://www.fq.math.ca/29-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-4/robbins.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Andre-Jeannin:1991:DGF,
author = "Richard Andr{\'e}-Jeannin",
title = "Divisibility of Generalized {Fibonacci} and {Lucas}
Numbers by Their Subscripts",
journal = j-FIB-QUART,
volume = "29",
number = "4",
pages = "364--366",
month = nov,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:36 MDT 2011",
bibsource = "http://www.fq.math.ca/29-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-4/andre-jeannin2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kennedy:1991:SSS,
author = "Robert E. Kennedy and Curtis N. Cooper",
title = "The Statistics of the Smallest Space on a Lottery
Ticket",
journal = j-FIB-QUART,
volume = "29",
number = "4",
pages = "367--370",
month = nov,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:36 MDT 2011",
bibsource = "http://www.fq.math.ca/29-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-4/kennedy.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rabinowitz:1991:EPSb,
author = "Stanley Rabinowitz",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "29",
number = "4",
pages = "371--376",
month = nov,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:36 MDT 2011",
bibsource = "http://www.fq.math.ca/29-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-4/elementary29-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1991:APSd,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "29",
number = "4",
pages = "377--382",
month = nov,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:36 MDT 2011",
bibsource = "http://www.fq.math.ca/29-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-4/advanced29-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1991:VI,
author = "Anonymous",
title = "Volume Index",
journal = j-FIB-QUART,
volume = "29",
number = "4",
pages = "383--??",
month = nov,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:36 MDT 2011",
bibsource = "http://www.fq.math.ca/29-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-4/index.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Liu:1992:MMS,
author = "Bolian Liu",
title = "A Matrix Method to Solve Linear Recurrences with
Constant Coefficients",
journal = j-FIB-QUART,
volume = "30",
number = "1",
pages = "2--8",
month = feb,
year = "1992",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:46 MDT 2011",
bibsource = "http://www.fq.math.ca/30-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/30-1/liu.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Waddill:1992:TSG,
author = "Marcellus E. Waddill",
title = "The {Tetranacci} Sequence and Generalizations",
journal = j-FIB-QUART,
volume = "30",
number = "1",
pages = "9--19",
month = feb,
year = "1992",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:46 MDT 2011",
bibsource = "http://www.fq.math.ca/30-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/30-1/waddill.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1992:AFIa,
author = "Anonymous",
title = "Announcement: {Fifth International Conference}",
journal = j-FIB-QUART,
volume = "30",
number = "1",
pages = "20--??",
month = feb,
year = "1992",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:46 MDT 2011",
bibsource = "http://www.fq.math.ca/30-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/30-1/announcement.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:1992:NOG,
author = "A. F. Horadam",
title = "Negative Order {Genocchi} Polynomials",
journal = j-FIB-QUART,
volume = "30",
number = "1",
pages = "21--34",
month = feb,
year = "1992",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:46 MDT 2011",
bibsource = "http://www.fq.math.ca/30-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/30-1/horadam.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hodgson:1992:SNS,
author = "Bernard R. Hodgson",
title = "On Some Number Sequences Related to the Parity of
Binomial Coefficients",
journal = j-FIB-QUART,
volume = "30",
number = "1",
pages = "35--47",
month = feb,
year = "1992",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:46 MDT 2011",
bibsource = "http://www.fq.math.ca/30-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/30-1/hodgson.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kuhn:1992:NO,
author = "Steven T. Kuhn and Andrew Vogt",
title = "Numbers Without Ones",
journal = j-FIB-QUART,
volume = "30",
number = "1",
pages = "48--53",
month = feb,
year = "1992",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:46 MDT 2011",
bibsource = "http://www.fq.math.ca/30-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/30-1/kuhn.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Deza:1992:FPI,
author = "Michel Deza and Monique Laurent",
title = "The {Fibonacci} and Parachute Inequalities for $ l_1
$-Metrics",
journal = j-FIB-QUART,
volume = "30",
number = "1",
pages = "54--61",
month = feb,
year = "1992",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:46 MDT 2011",
bibsource = "http://www.fq.math.ca/30-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/30-1/deza.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ferri:1992:FNL,
author = "G. Ferri and M. Faccio and A. D'Amico",
title = "{Fibonacci} Numbers and Ladder Network Impedance",
journal = j-FIB-QUART,
volume = "30",
number = "1",
pages = "62--67",
month = feb,
year = "1992",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:46 MDT 2011",
bibsource = "http://www.fq.math.ca/30-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/30-1/ferri.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Chuan:1992:FW,
author = "Wai-Fong Chuan",
title = "{Fibonacci} Words",
journal = j-FIB-QUART,
volume = "30",
number = "1",
pages = "68--76",
month = feb,
year = "1992",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:46 MDT 2011",
bibsource = "http://www.fq.math.ca/30-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/30-1/chuan.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Atanassov:1992:RFG,
author = "K. Atanassov and J. Hlebarska and S. Mihov",
title = "Recurrent Formulas of the Generalized {Fibonacci} and
{Tribonacci} Sequences",
journal = j-FIB-QUART,
volume = "30",
number = "1",
pages = "77--79",
month = feb,
year = "1992",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:46 MDT 2011",
bibsource = "http://www.fq.math.ca/30-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/30-1/atanassov.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Knopfmacher:1992:EPS,
author = "Arnold Knopfmacher",
title = "Elementary Properties of the Subtractive {Euclidean}
Algorithm",
journal = j-FIB-QUART,
volume = "30",
number = "1",
pages = "80--83",
month = feb,
year = "1992",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:46 MDT 2011",
bibsource = "http://www.fq.math.ca/30-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/30-1/knopfmacher.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1992:R,
author = "Anonymous",
title = "Referees",
journal = j-FIB-QUART,
volume = "30",
number = "1",
pages = "84--??",
month = feb,
year = "1992",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:46 MDT 2011",
bibsource = "http://www.fq.math.ca/30-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/30-1/referees.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rabinowitz:1992:EPSa,
author = "Stanley Rabinowitz",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "30",
number = "1",
pages = "85--89",
month = feb,
year = "1992",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:46 MDT 2011",
bibsource = "http://www.fq.math.ca/30-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/30-1/elementary30-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1992:APSa,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "30",
number = "1",
pages = "90--97",
month = feb,
year = "1992",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:46 MDT 2011",
bibsource = "http://www.fq.math.ca/30-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/30-1/advanced30-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horak:1992:SDL,
author = "Pavel Hor{\'a}k",
title = "Strong Divisibility Linear Recurrences of the Third
Order",
journal = j-FIB-QUART,
volume = "30",
number = "2",
pages = "98--101",
month = may,
year = "1992",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:48 MDT 2011",
bibsource = "http://www.fq.math.ca/30-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/30-2/horak.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gillman:1992:M,
author = "Leonard Gillman",
title = "Miscellanea",
journal = j-FIB-QUART,
volume = "30",
number = "2",
pages = "102--??",
month = may,
year = "1992",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:48 MDT 2011",
bibsource = "http://www.fq.math.ca/30-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/30-2/miscellanea.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kiss:1992:GRS,
author = "P{\'e}ter Kiss and B{\'e}la Zay",
title = "On a Generalization of a Recursive Sequence",
journal = j-FIB-QUART,
volume = "30",
number = "2",
pages = "103--109",
month = may,
year = "1992",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:48 MDT 2011",
bibsource = "http://www.fq.math.ca/30-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/30-2/kiss.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{McNeill:1992:TMC,
author = "R. B. McNeill",
title = "On a Theorem of {Monzingo} Characterizing the Prime
Divisors of Certain Sequences of Integers",
journal = j-FIB-QUART,
volume = "30",
number = "2",
pages = "110--??",
month = may,
year = "1992",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:48 MDT 2011",
bibsource = "http://www.fq.math.ca/30-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/30-2/mcneill.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bunder:1992:ZRU,
author = "M. W. Bunder",
title = "{Zeckendorf} Representations Using Negative
{Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "30",
number = "2",
pages = "111--115",
month = may,
year = "1992",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:48 MDT 2011",
bibsource = "http://www.fq.math.ca/30-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/30-2/bunder.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Knox:1992:FSF,
author = "Steven W. Knox",
title = "{Fibonacci} Sequences in Finite Groups",
journal = j-FIB-QUART,
volume = "30",
number = "2",
pages = "116--120",
month = may,
year = "1992",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:48 MDT 2011",
bibsource = "http://www.fq.math.ca/30-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/30-2/knox.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bailey:1992:MBC,
author = "D. F. Bailey",
title = "More Binomial Coefficient Congruences",
journal = j-FIB-QUART,
volume = "30",
number = "2",
pages = "121--125",
month = may,
year = "1992",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:48 MDT 2011",
bibsource = "http://www.fq.math.ca/30-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/30-2/bailey.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Young:1992:RM,
author = "Anne Ludington Young",
title = "$k$-Reverse Multiples",
journal = j-FIB-QUART,
volume = "30",
number = "2",
pages = "126--131",
month = may,
year = "1992",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:48 MDT 2011",
bibsource = "http://www.fq.math.ca/30-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/30-2/ludington1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1992:AFIb,
author = "Anonymous",
title = "Announcement: {Fifth International Conference}",
journal = j-FIB-QUART,
volume = "30",
number = "2",
pages = "132--??",
month = may,
year = "1992",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:48 MDT 2011",
bibsource = "http://www.fq.math.ca/30-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/30-2/announcement.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Andre-Jeannin:1992:EWO,
author = "Richard Andr{\'e}-Jeannin",
title = "On the Equations {$ U_n = U q x^2 $}, Where $q$ is
Odd, and {$ V_n = V q x^2 $}, Where $q$ is Even",
journal = j-FIB-QUART,
volume = "30",
number = "2",
pages = "133--135",
month = may,
year = "1992",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:48 MDT 2011",
bibsource = "http://www.fq.math.ca/30-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/30-2/andre-jeannin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Boyd:1992:BCN,
author = "A. V. Boyd",
title = "Bounds for the {Catalan} Numbers",
journal = j-FIB-QUART,
volume = "30",
number = "2",
pages = "136--138",
month = may,
year = "1992",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:48 MDT 2011",
bibsource = "http://www.fq.math.ca/30-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/30-2/boyd.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Minqiang:1992:PML,
author = "Huang Minqiang and Dai Zongduo",
title = "Projective Maps of Linear Recurring Sequences with
Maximal $p$-adic Periods",
journal = j-FIB-QUART,
volume = "30",
number = "2",
pages = "139--143",
month = may,
year = "1992",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:48 MDT 2011",
bibsource = "http://www.fq.math.ca/30-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/30-2/minqiang.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Waterhouse:1992:CFP,
author = "William C. Waterhouse",
title = "Continued Fractions and {Pythagorean} Triples",
journal = j-FIB-QUART,
volume = "30",
number = "2",
pages = "144--147",
month = may,
year = "1992",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:48 MDT 2011",
bibsource = "http://www.fq.math.ca/30-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/30-2/waterhouse.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kelly:1992:SFF,
author = "John B. Kelly",
title = "{Schur} Functions and {Fibonacci} Identities",
journal = j-FIB-QUART,
volume = "30",
number = "2",
pages = "148--156",
month = may,
year = "1992",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:48 MDT 2011",
bibsource = "http://www.fq.math.ca/30-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/30-2/kelly.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Beslin:1992:GCS,
author = "Scott Beslin and Steve Ligh",
title = "{GCD}-Closed Sets and the Determinants of {GCD}
Matrices",
journal = j-FIB-QUART,
volume = "30",
number = "2",
pages = "157--160",
month = may,
year = "1992",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:48 MDT 2011",
bibsource = "http://www.fq.math.ca/30-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/30-2/beslin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Moore:1992:LAR,
author = "Thomas E. Moore",
title = "On the Least Absolute Remainder {Euclidean}
Algorithm",
journal = j-FIB-QUART,
volume = "30",
number = "2",
pages = "161--165",
month = may,
year = "1992",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:48 MDT 2011",
bibsource = "http://www.fq.math.ca/30-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/30-2/moore.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Young:1992:TRM,
author = "Anne Ludington Young",
title = "Trees for $k$-Reverse Multiples",
journal = j-FIB-QUART,
volume = "30",
number = "2",
pages = "166--174",
month = may,
year = "1992",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:48 MDT 2011",
bibsource = "http://www.fq.math.ca/30-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/30-2/ludington2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ewell:1992:RNS,
author = "John A. Ewell",
title = "On Representations of Numbers by Sums of Two
Triangular Numbers",
journal = j-FIB-QUART,
volume = "30",
number = "2",
pages = "175--178",
month = may,
year = "1992",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:48 MDT 2011",
bibsource = "http://www.fq.math.ca/30-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/30-2/ewell.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Griffin:1992:ASF,
author = "Peter Griffin",
title = "Acceleration of the Sum of {Fibonacci} Reciprocals",
journal = j-FIB-QUART,
volume = "30",
number = "2",
pages = "179--181",
month = may,
year = "1992",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:48 MDT 2011",
bibsource = "http://www.fq.math.ca/30-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/30-2/griffin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rabinowitz:1992:EPSb,
author = "Stanley Rabinowitz",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "30",
number = "2",
pages = "182--186",
month = may,
year = "1992",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:48 MDT 2011",
bibsource = "http://www.fq.math.ca/30-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/30-2/elementary30-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1992:APSb,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "30",
number = "2",
pages = "187--193",
month = may,
year = "1992",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:48 MDT 2011",
bibsource = "http://www.fq.math.ca/30-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/30-2/advanced30-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Tsangaris:1992:OTG,
author = "P. G. Tsangaris and J. P. Jones",
title = "And Old Theorem on the {GCD} and Its Application to
Primes",
journal = j-FIB-QUART,
volume = "30",
number = "3",
pages = "194--198",
month = aug,
year = "1992",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:50 MDT 2011",
bibsource = "http://www.fq.math.ca/30-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/30-3/tsangaris.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lang:1992:CPF,
author = "Wolfdieter Lang",
title = "A Combinatorial Problem in the {Fibonacci} Number
System and Two-Variable Generalizations of
{Chebyshev}'s Polynomials",
journal = j-FIB-QUART,
volume = "30",
number = "3",
pages = "199--210",
month = aug,
year = "1992",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:50 MDT 2011",
bibsource = "http://www.fq.math.ca/30-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/30-3/lang.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Jacobson:1992:DFN,
author = "Eliot T. Jacobson",
title = "Distribution of the {Fibonacci} Numbers Mod {$ 2 K
$}",
journal = j-FIB-QUART,
volume = "30",
number = "3",
pages = "211--215",
month = aug,
year = "1992",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:50 MDT 2011",
bibsource = "http://www.fq.math.ca/30-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/30-3/jacobson.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lee:1992:GFE,
author = "Jack Y. Lee",
title = "The Golden-{Fibonacci} Equivalence",
journal = j-FIB-QUART,
volume = "30",
number = "3",
pages = "216--220",
month = aug,
year = "1992",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:50 MDT 2011",
bibsource = "http://www.fq.math.ca/30-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/30-3/lee.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Miller:1992:AN,
author = "Gordon L. Miller and Mary T. Whalen",
title = "{Armstrong} Numbers: $ 153 = 1^3 + 5^3 + 3^3 $",
journal = j-FIB-QUART,
volume = "30",
number = "3",
pages = "221--224",
month = aug,
year = "1992",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:50 MDT 2011",
bibsource = "http://www.fq.math.ca/30-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/30-3/miller.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Filipponi:1992:WFB,
author = "Piero Filipponi",
title = "{Waring}'s Formula, the Binomial Formula, and
Generalized {Fibonacci} Matrices",
journal = j-FIB-QUART,
volume = "30",
number = "3",
pages = "225--231",
month = aug,
year = "1992",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:50 MDT 2011",
bibsource = "http://www.fq.math.ca/30-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/30-3/filipponi.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Waddill:1992:SPT,
author = "Marcellus E. Waddill",
title = "Some Properties of the {Tetranacci} Sequence Modulo
$m$",
journal = j-FIB-QUART,
volume = "30",
number = "3",
pages = "232--238",
month = aug,
year = "1992",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:50 MDT 2011",
bibsource = "http://www.fq.math.ca/30-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/30-3/waddill.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:1992:GGP,
author = "A. F. Horadam",
title = "Generation of {Genocchi} Polynomials of First Order by
Recurrence Relations",
journal = j-FIB-QUART,
volume = "30",
number = "3",
pages = "239--243",
month = aug,
year = "1992",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:50 MDT 2011",
bibsource = "http://www.fq.math.ca/30-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/30-3/horadam.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horibe:1992:FTB,
author = "Yasuichi Horibe",
title = "A {Fibonacci} Theme on Balanced Binary Trees",
journal = j-FIB-QUART,
volume = "30",
number = "3",
pages = "244--250",
month = aug,
year = "1992",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:50 MDT 2011",
bibsource = "http://www.fq.math.ca/30-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/30-3/horibe.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Long:1992:AGG,
author = "Calvin T. Long and Shiro Ando",
title = "Another Generalization of {Gould}'s {Star of David
Theorem}",
journal = j-FIB-QUART,
volume = "30",
number = "3",
pages = "251--255",
month = aug,
year = "1992",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:50 MDT 2011",
bibsource = "http://www.fq.math.ca/30-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/30-3/long.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Andrade:1992:ONR,
author = "Ana Andrade and S. P. Pethe",
title = "On the $r$ th-Order Nonhomogeneous Recurrence Relation
and Some Generalized {Fibonacci} Sequences",
journal = j-FIB-QUART,
volume = "30",
number = "3",
pages = "256--262",
month = aug,
year = "1992",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:50 MDT 2011",
bibsource = "http://www.fq.math.ca/30-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/30-3/andrade.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Page:1992:ABP,
author = "Warren Page and K. R. S. Sastry",
title = "Area-Bisecting Polygonal Paths",
journal = j-FIB-QUART,
volume = "30",
number = "3",
pages = "263--273",
month = aug,
year = "1992",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:50 MDT 2011",
bibsource = "http://www.fq.math.ca/30-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/30-3/page.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{DeTemple:1992:TSP,
author = "Duane W. DeTemple",
title = "The Triangle of Smallest Perimeter which Circumscribes
a Semicircle",
journal = j-FIB-QUART,
volume = "30",
number = "3",
pages = "274--??",
month = aug,
year = "1992",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:50 MDT 2011",
bibsource = "http://www.fq.math.ca/30-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/30-3/detemple.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rabinowitz:1992:EPSc,
author = "Stanley Rabinowitz",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "30",
number = "3",
pages = "275--281",
month = aug,
year = "1992",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:50 MDT 2011",
bibsource = "http://www.fq.math.ca/30-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/30-3/elementary30-3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1992:APSc,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "30",
number = "3",
pages = "282--289",
month = aug,
year = "1992",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:50 MDT 2011",
bibsource = "http://www.fq.math.ca/30-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/30-3/advanced30-3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Miller:1992:GIS,
author = "Allen R. Miller and H. M. Srivastava",
title = "On {Glaisher}'s Infinite Sums Involving the Inverse
Tangent Function",
journal = j-FIB-QUART,
volume = "30",
number = "4",
pages = "290--294",
month = nov,
year = "1992",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:52 MDT 2011",
bibsource = "http://www.fq.math.ca/30-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/30-4/miller.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brison:1992:CFS,
author = "Owen J. Brison",
title = "Complete {Fibonacci} Sequences in Finite Fields",
journal = j-FIB-QUART,
volume = "30",
number = "4",
pages = "295--304",
month = nov,
year = "1992",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:52 MDT 2011",
bibsource = "http://www.fq.math.ca/30-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/30-4/brison.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Zelator:1992:DEX,
author = "Konstantine Dabmian Zelator",
title = "The {Diophantine} Equation $ x^2 + a^2 y^m = z^2 n $
with $ (x, a y) = 1 $",
journal = j-FIB-QUART,
volume = "30",
number = "4",
pages = "305--309",
month = nov,
year = "1992",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:52 MDT 2011",
bibsource = "http://www.fq.math.ca/30-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/30-4/zelator.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Spickerman:1992:FGF,
author = "W. R. Spickerman and R. N. Joyner and R. L. Creech",
title = "On the {$ (2, F) $} Generalizations of the {Fibonacci}
Sequence",
journal = j-FIB-QUART,
volume = "30",
number = "4",
pages = "310--314",
month = nov,
year = "1992",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:52 MDT 2011",
bibsource = "http://www.fq.math.ca/30-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/30-4/spickerman.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Tosic:1992:FNN,
author = "Ratko To{\v{s}}i{\'c} and Ivan Stojmenovi{\'c}",
title = "{Fibonacci} Numbers and the Numbers of Perfect
Matchings of Square, Pentagonal, and Hexagonal Chains",
journal = j-FIB-QUART,
volume = "30",
number = "4",
pages = "315--321",
month = nov,
year = "1992",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:52 MDT 2011",
bibsource = "http://www.fq.math.ca/30-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/30-4/tosic.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Blanton:1992:DDS,
author = "Earle L. {Blanton, Jr.} and Spencer P. Hurd and Judson
S. McCranie",
title = "On a Digraph Defined by Squaring Modulo $n$",
journal = j-FIB-QUART,
volume = "30",
number = "4",
pages = "322--333",
month = nov,
year = "1992",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:52 MDT 2011",
bibsource = "http://www.fq.math.ca/30-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/30-4/blanton.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Freitag:1992:FCS,
author = "Herta T. Freitag",
title = "The {Fibonacci Conference} in {Scotland}",
journal = j-FIB-QUART,
volume = "30",
number = "4",
pages = "334--??",
month = nov,
year = "1992",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:52 MDT 2011",
bibsource = "http://www.fq.math.ca/30-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/30-4/report-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hinson:1992:DPT,
author = "Edward K. Hinson",
title = "On the Distribution of {Pythagorean} Triples",
journal = j-FIB-QUART,
volume = "30",
number = "4",
pages = "335--338",
month = nov,
year = "1992",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:52 MDT 2011",
bibsource = "http://www.fq.math.ca/30-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/30-4/hinson.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{DiPorto:1992:GSF,
author = "Adina {Di Porto} and Piero Filipponi",
title = "Generating {$M$}-Strong {Fibonacci} Pseudoprimes",
journal = j-FIB-QUART,
volume = "30",
number = "4",
pages = "339--343",
month = nov,
year = "1992",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:52 MDT 2011",
bibsource = "http://www.fq.math.ca/30-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/30-4/diporto.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Pihko:1992:SHS,
author = "Jukka Pihko",
title = "On Sequences Having Same Minimal Elements in the
{Lemoine--K{\'a}tai} Algorithm",
journal = j-FIB-QUART,
volume = "30",
number = "4",
pages = "344--348",
month = nov,
year = "1992",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:52 MDT 2011",
bibsource = "http://www.fq.math.ca/30-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/30-4/pihko.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gillespie:1992:GKC,
author = "Frank S. Gillespie",
title = "A Generalization of {Kummer}'s Congruences and Related
Results",
journal = j-FIB-QUART,
volume = "30",
number = "4",
pages = "349--367",
month = nov,
year = "1992",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:52 MDT 2011",
bibsource = "http://www.fq.math.ca/30-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/30-4/gillespie.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rabinowitz:1992:EPSd,
author = "Stanley Rabinowitz",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "30",
number = "4",
pages = "368--375",
month = nov,
year = "1992",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:52 MDT 2011",
bibsource = "http://www.fq.math.ca/30-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/30-4/elementary30-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1992:APSd,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "30",
number = "4",
pages = "376--382",
month = nov,
year = "1992",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:52 MDT 2011",
bibsource = "http://www.fq.math.ca/30-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/30-4/advanced30-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1992:VI,
author = "Anonymous",
title = "Volume Index",
journal = j-FIB-QUART,
volume = "30",
number = "4",
pages = "383--??",
month = nov,
year = "1992",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:52 MDT 2011",
bibsource = "http://www.fq.math.ca/30-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/30-4/index.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Moser:1993:CBS,
author = "W. Moser",
title = "Cyclic Binary Strings without Long Runs of Like
(Alternating) Bits",
journal = j-FIB-QUART,
volume = "31",
number = "1",
pages = "2--6",
month = feb,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:54 MDT 2011",
bibsource = "http://www.fq.math.ca/31-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-1/moser.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Good:1993:CFL,
author = "I. J. Good",
title = "Complex {Fibonacci} and {Lucas} Numbers, Continued
Fractions, and the Square Root of the Golden Ratio",
journal = j-FIB-QUART,
volume = "31",
number = "1",
pages = "7--20",
month = feb,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:54 MDT 2011",
bibsource = "http://www.fq.math.ca/31-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "See erratum \cite{Good:1993:ECF}.",
URL = "http://www.fq.math.ca/Scanned/31-1/good.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Marchisotto:1993:CMI,
author = "E. A. Marchisotto",
title = "Connections in Mathematics: An {Introduction} to
{Fibonacci} via {Pythagoras}",
journal = j-FIB-QUART,
volume = "31",
number = "1",
pages = "21--27",
month = feb,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:54 MDT 2011",
bibsource = "http://www.fq.math.ca/31-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-1/marchisotto.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Haukkanen:1993:FPS,
author = "Pentti Haukkanen",
title = "Formal Power Series for Binomial Sums of Sequences of
Numbers",
journal = j-FIB-QUART,
volume = "31",
number = "1",
pages = "28--31",
month = feb,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:54 MDT 2011",
bibsource = "http://www.fq.math.ca/31-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-1/haukkanen.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brown:1993:RRF,
author = "Tom C. Brown and Peter Jau-Shyong Shiue",
title = "A Remark Related to the {Frobenius} Problem",
journal = j-FIB-QUART,
volume = "31",
number = "1",
pages = "32--36",
month = feb,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:54 MDT 2011",
bibsource = "http://www.fq.math.ca/31-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-1/brown.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Shallit:1993:RNN,
author = "Jeffrey Shallit",
title = "Rational Numbers with Non-Terminating, Non-Periodic
Modified {Engel}-Type Expansions",
journal = j-FIB-QUART,
volume = "31",
number = "1",
pages = "37--39",
month = feb,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:54 MDT 2011",
bibsource = "http://www.fq.math.ca/31-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-1/shallit.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1993:ATI,
author = "Anonymous",
title = "Author and Title Index for Sale",
journal = j-FIB-QUART,
volume = "31",
number = "1",
pages = "40--??",
month = feb,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:54 MDT 2011",
bibsource = "http://www.fq.math.ca/31-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-1/index.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Mootha:1993:UFN,
author = "Vamsi K. Mootha",
title = "Unary {Fibonacci} Numbers are Context-Sensitive",
journal = j-FIB-QUART,
volume = "31",
number = "1",
pages = "41--43",
month = feb,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:54 MDT 2011",
bibsource = "http://www.fq.math.ca/31-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-1/mootha.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kyriakoussis:1993:EGS,
author = "A. G. Kyriakoussis",
title = "On Extended Generalized {Stirling} Pairs",
journal = j-FIB-QUART,
volume = "31",
number = "1",
pages = "44--51",
month = feb,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:54 MDT 2011",
bibsource = "http://www.fq.math.ca/31-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-1/kyriakoussis.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1993:BABa,
author = "Anonymous",
title = "Book Announcement: {{\booktitle{Generalized Pascal
Triangles and Pyramids. Their Fractals and Graphs and
Applications}}, by Boris A. Bondarenko}",
journal = j-FIB-QUART,
volume = "31",
number = "1",
pages = "52--??",
month = feb,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:54 MDT 2011",
bibsource = "http://www.fq.math.ca/31-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-1/bondarenko.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Howard:1993:MBC,
author = "F. T. Howard",
title = "Multinomial and {$Q$}-Binomial Coefficient Modulo $4$
and Modulo {$P$}",
journal = j-FIB-QUART,
volume = "31",
number = "1",
pages = "53--64",
month = feb,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:54 MDT 2011",
bibsource = "http://www.fq.math.ca/31-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-1/howard.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hsu:1993:FCC,
author = "W.-J. Hsu and C. V. Page and J.-S. Liu",
title = "{Fibonacci} Cubes --- a Class of Self-Similar Graphs",
journal = j-FIB-QUART,
volume = "31",
number = "1",
pages = "65--71",
month = feb,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:54 MDT 2011",
bibsource = "http://www.fq.math.ca/31-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-1/hsu.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1993:NBL,
author = "Anonymous",
title = "A New Book on {Liber Abaci}",
journal = j-FIB-QUART,
volume = "31",
number = "1",
pages = "72--??",
month = feb,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:54 MDT 2011",
bibsource = "http://www.fq.math.ca/31-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "See \cite{Luneburg:1992:LPL}.",
URL = "http://www.fq.math.ca/Scanned/31-1/announcement.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Peele:1993:CPI,
author = "Rhodes Peele and A. J. Radcliffe and Herbert S. Wilf",
title = "Congruence Problems Involving {Stirling} Numbers on
the First Kind",
journal = j-FIB-QUART,
volume = "31",
number = "1",
pages = "73--80",
month = feb,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:54 MDT 2011",
bibsource = "http://www.fq.math.ca/31-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-1/peele.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1993:R,
author = "Anonymous",
title = "Referees",
journal = j-FIB-QUART,
volume = "31",
number = "1",
pages = "81--??",
month = feb,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:54 MDT 2011",
bibsource = "http://www.fq.math.ca/31-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-1/referees-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rabinowitz:1993:EPSa,
author = "Stanley Rabinowitz",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "31",
number = "1",
pages = "82--89",
month = feb,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:54 MDT 2011",
bibsource = "http://www.fq.math.ca/31-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-1/elementary31-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1993:APSa,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "31",
number = "1",
pages = "90--97",
month = feb,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:54 MDT 2011",
bibsource = "http://www.fq.math.ca/31-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-1/advanced31-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Dutton:1993:NIS,
author = "R. Dutton and N. Chandrasekharam and R. Brigham",
title = "On the Number of Independent Sets of Nodes in a Tree",
journal = j-FIB-QUART,
volume = "31",
number = "2",
pages = "98--104",
month = may,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:57 MDT 2011",
bibsource = "http://www.fq.math.ca/31-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-2/dutton.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Shannon:1993:CGL,
author = "A. G. Shannon and R. S. Melham",
title = "{Carlitz} Generalizations of {Lucas} and {Lehmer}
Sequences",
journal = j-FIB-QUART,
volume = "31",
number = "2",
pages = "105--111",
month = may,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:57 MDT 2011",
bibsource = "http://www.fq.math.ca/31-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-2/shannon.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Reiter:1993:DDF,
author = "Ashley Melia Reiter",
title = "Determining the Dimension of Fractals Generated by
{Pascal}'s Triangle",
journal = j-FIB-QUART,
volume = "31",
number = "2",
pages = "112--120",
month = may,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:57 MDT 2011",
bibsource = "http://www.fq.math.ca/31-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-2/reiter.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Peart:1993:TFS,
author = "Paul Peart and Leon Woodson",
title = "Triple Factorization of Some {Riordan} Matrices",
journal = j-FIB-QUART,
volume = "31",
number = "2",
pages = "121--128",
month = may,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:57 MDT 2011",
bibsource = "http://www.fq.math.ca/31-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-2/peart.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bhargava:1993:TST,
author = "S. Bhargava and Chandrashekar Adiga and D. D.
Somashekara",
title = "Three-Square Theorem as an Application of {Andrews}'
Identity",
journal = j-FIB-QUART,
volume = "31",
number = "2",
pages = "129--132",
month = may,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:57 MDT 2011",
bibsource = "http://www.fq.math.ca/31-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-2/bhargava.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1993:C,
author = "Anonymous",
title = "Correction",
journal = j-FIB-QUART,
volume = "31",
number = "2",
pages = "133--??",
month = may,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:57 MDT 2011",
bibsource = "http://www.fq.math.ca/31-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-2/correction.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Jennings:1993:SPI,
author = "Derek Jennings",
title = "Some Polynomial Identities for the {Fibonacci} and
{Lucas} Numbers",
journal = j-FIB-QUART,
volume = "31",
number = "2",
pages = "134--137",
month = may,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:57 MDT 2011",
bibsource = "http://www.fq.math.ca/31-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-2/jennings.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Young:1993:VTD,
author = "Anne Ludington Young",
title = "A Variation on the Two-Digit {Kaprekar} Routine",
journal = j-FIB-QUART,
volume = "31",
number = "2",
pages = "138--144",
month = may,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:57 MDT 2011",
bibsource = "http://www.fq.math.ca/31-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-2/young.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1993:ASIa,
author = "Anonymous",
title = "Announcement: {Sixth International Conference}",
journal = j-FIB-QUART,
volume = "31",
number = "2",
pages = "145--??",
month = may,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:57 MDT 2011",
bibsource = "http://www.fq.math.ca/31-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-2/announcement.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cooper:1993:CNN,
author = "Curtis Cooper and Robert E. Kennedy",
title = "On Consecutive {Niven} Numbers",
journal = j-FIB-QUART,
volume = "31",
number = "2",
pages = "146--151",
month = may,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:57 MDT 2011",
bibsource = "http://www.fq.math.ca/31-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-2/cooper.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Dordevic:1993:MFC,
author = "Gospava B. Dordevic",
title = "Mixed {Fermat} Convolutions",
journal = j-FIB-QUART,
volume = "31",
number = "2",
pages = "152--157",
month = may,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:57 MDT 2011",
bibsource = "http://www.fq.math.ca/31-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-2/dordevic.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Haase:1993:HFN,
author = "Herman Haase",
title = "Hyperspaces and {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "31",
number = "2",
pages = "158--161",
month = may,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:57 MDT 2011",
bibsource = "http://www.fq.math.ca/31-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-2/haase.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Zollner:1993:DSL,
author = "Joachim Z{\"o}llner",
title = "A Disjoint System of Linear Recurring Sequences
Generated by $ u_{n + 2} = u_{n + 1} + u_n $ Which
Contains Every Natural Number",
journal = j-FIB-QUART,
volume = "31",
number = "2",
pages = "162--164",
month = may,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:57 MDT 2011",
bibsource = "http://www.fq.math.ca/31-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-2/zollner.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1993:BABb,
author = "Anonymous",
title = "Book Announcement: {{\booktitle{Generalized Pascal
Triangles and Pyramids. Their Fractals Graphs and
Applications}}, by Boris A. Bondarenko}",
journal = j-FIB-QUART,
volume = "31",
number = "2",
pages = "165--??",
month = may,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:57 MDT 2011",
bibsource = "http://www.fq.math.ca/31-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-2/bondarenko.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:1993:ASG,
author = "A. F. Horadam",
title = "Associated Sequences of General Order",
journal = j-FIB-QUART,
volume = "31",
number = "2",
pages = "166--172",
month = may,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:57 MDT 2011",
bibsource = "http://www.fq.math.ca/31-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-2/horadam.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{DiPorto:1993:NEF,
author = "Adino {Di Porto}",
title = "Nonexistence of Even {Fibonacci} Pseudoprimes of the
1st Kind",
journal = j-FIB-QUART,
volume = "31",
number = "2",
pages = "173--177",
month = may,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:57 MDT 2011",
bibsource = "http://www.fq.math.ca/31-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-2/diporto.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Barry:1993:MGF,
author = "Michael J. J. Barry and Anthony J. {Lo Bello}",
title = "The Moment Generating Function of the Geometric
Distribution of Order $k$",
journal = j-FIB-QUART,
volume = "31",
number = "2",
pages = "178--180",
month = may,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:57 MDT 2011",
bibsource = "http://www.fq.math.ca/31-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-2/barry.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rabinowitz:1993:EPSb,
author = "Stanley Rabinowitz",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "31",
number = "2",
pages = "181--186",
month = may,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:57 MDT 2011",
bibsource = "http://www.fq.math.ca/31-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-2/elementary31-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1993:APSb,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "31",
number = "2",
pages = "187--193",
month = may,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:57 MDT 2011",
bibsource = "http://www.fq.math.ca/31-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-2/advanced31-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Filipponi:1993:SDS,
author = "Piero Filipponi and Alwyn F. Horadam",
title = "Second Derivative Sequences of {Fibonacci} and {Lucas}
Polynomials",
journal = j-FIB-QUART,
volume = "31",
number = "3",
pages = "194--204",
month = aug,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:59 MDT 2011",
bibsource = "http://www.fq.math.ca/31-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-3/filipponi.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Castellanos:1993:RCA,
author = "Dario Castellanos and William E. Rosenthal",
title = "Rational {Chebyshev} Approximations of Analytic
Functions",
journal = j-FIB-QUART,
volume = "31",
number = "3",
pages = "205--215",
month = aug,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:59 MDT 2011",
bibsource = "http://www.fq.math.ca/31-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-3/castellanos.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Queen:1993:P,
author = "Clifford S. Queen",
title = "Palindromes",
journal = j-FIB-QUART,
volume = "31",
number = "3",
pages = "216--225",
month = aug,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:59 MDT 2011",
bibsource = "http://www.fq.math.ca/31-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-3/queen.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1993:BABc,
author = "Anonymous",
title = "Book Announcement: {{\booktitle{Generalized Pascal
Triangles and Pyramids}}, by Boris A. Bondarenko}",
journal = j-FIB-QUART,
volume = "31",
number = "3",
pages = "226--??",
month = aug,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:59 MDT 2011",
bibsource = "http://www.fq.math.ca/31-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-3/bondarenko.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bender:1993:FTL,
author = "C. Bender",
title = "{Fibonacci} Transmission Lines",
journal = j-FIB-QUART,
volume = "31",
number = "3",
pages = "227--238",
month = aug,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:59 MDT 2011",
bibsource = "http://www.fq.math.ca/31-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-3/bender.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Jones:1993:PWC,
author = "J. P. Jones and Peter Kiss",
title = "On Points Whose Coordinates Are Terms of a Linear
Recurrence",
journal = j-FIB-QUART,
volume = "31",
number = "3",
pages = "239--245",
month = aug,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:59 MDT 2011",
bibsource = "http://www.fq.math.ca/31-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-3/jones.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hochwald:1993:RFN,
author = "Scott H. Hochwald and Jingcheng Tong",
title = "On the Reciprocals of the {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "31",
number = "3",
pages = "246--250",
month = aug,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:59 MDT 2011",
bibsource = "http://www.fq.math.ca/31-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-3/hochwald.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Chuan:1993:SFW,
author = "Wai-fong Chuan",
title = "Symmetric {Fibonacci} Words",
journal = j-FIB-QUART,
volume = "31",
number = "3",
pages = "251--254",
month = aug,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:59 MDT 2011",
bibsource = "http://www.fq.math.ca/31-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-3/chuan.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1993:ASIb,
author = "Anonymous",
title = "Announcement: {Sixth International Conference}",
journal = j-FIB-QUART,
volume = "31",
number = "3",
pages = "255--??",
month = aug,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:59 MDT 2011",
bibsource = "http://www.fq.math.ca/31-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-3/announcement.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hsu:1993:SRU,
author = "L. C. Hsu",
title = "A Summation Rule Using {Stirling} Numbers of the
Second Kind",
journal = j-FIB-QUART,
volume = "31",
number = "3",
pages = "256--262",
month = aug,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:59 MDT 2011",
bibsource = "http://www.fq.math.ca/31-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-3/hsu.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ratliff:1993:MFI,
author = "Michael I. Ratliff",
title = "{Mandelbrot}'s Functional Iteration and Continued
Fractions",
journal = j-FIB-QUART,
volume = "31",
number = "3",
pages = "263--267",
month = aug,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:59 MDT 2011",
bibsource = "http://www.fq.math.ca/31-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-3/ratliff.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Dubeau:1993:RPR,
author = "Fran{\c{c}}ois Dubeau",
title = "The Rabbit Problem Revisited",
journal = j-FIB-QUART,
volume = "31",
number = "3",
pages = "268--273",
month = aug,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:59 MDT 2011",
bibsource = "http://www.fq.math.ca/31-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-3/dubeau.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Good:1993:ECF,
author = "I. J. Good",
title = "Erratum for {``Complex Fibonacci and Lucas Numbers,
Continued Fractions, and the Square Root of the Golden
Ratio''}",
journal = j-FIB-QUART,
volume = "31",
number = "3",
pages = "274--??",
month = aug,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:59 MDT 2011",
bibsource = "http://www.fq.math.ca/31-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "See \cite{Good:1993:CFL}.",
URL = "http://www.fq.math.ca/Scanned/31-3/good.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Konvalina:1993:CSS,
author = "John Konvalina and Yi-Hsin Liu",
title = "Circular Subsets without $q$-Separation and Powers of
{Lucas} Numbers",
journal = j-FIB-QUART,
volume = "31",
number = "3",
pages = "275--??",
month = aug,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:59 MDT 2011",
bibsource = "http://www.fq.math.ca/31-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-3/konvalina.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ordower:1993:CPG,
author = "Marc S. Ordower",
title = "The Connectivity of a Particular Graph",
journal = j-FIB-QUART,
volume = "31",
number = "3",
pages = "276--??",
month = aug,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:59 MDT 2011",
bibsource = "http://www.fq.math.ca/31-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-3/ordower.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rabinowitz:1993:EPSc,
author = "Stanley Rabinowitz",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "31",
number = "3",
pages = "277--282",
month = aug,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:59 MDT 2011",
bibsource = "http://www.fq.math.ca/31-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-3/elementary31-3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1993:APSc,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "31",
number = "3",
pages = "283--289",
month = aug,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:59 MDT 2011",
bibsource = "http://www.fq.math.ca/31-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-3/advanced31-3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Najar:1993:RPT,
author = "Rudolph M. Najar",
title = "Recursions and {Pascal}-Type Triangles",
journal = j-FIB-QUART,
volume = "31",
number = "4",
pages = "290--293",
month = nov,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:01 MDT 2011",
bibsource = "http://www.fq.math.ca/31-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-4/najar.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hsu:1993:LE,
author = "L. C. Hsu",
title = "Letter to the Editor",
journal = j-FIB-QUART,
volume = "31",
number = "4",
pages = "294--??",
month = nov,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:01 MDT 2011",
bibsource = "http://www.fq.math.ca/31-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-4/letter.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Beck:1993:RAA,
author = "Walter E. Beck and Rudolph M. Najar",
title = "Reduced and Augmented Amicable Pairs to 10 8",
journal = j-FIB-QUART,
volume = "31",
number = "4",
pages = "295--298",
month = nov,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:01 MDT 2011",
bibsource = "http://www.fq.math.ca/31-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-4/beck.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Zelator:1993:IPN,
author = "Konstantine Zelator",
title = "On Independent {Pythagorean} Numbers",
journal = j-FIB-QUART,
volume = "31",
number = "4",
pages = "299--301",
month = nov,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:01 MDT 2011",
bibsource = "http://www.fq.math.ca/31-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-4/zelator.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Haukkanen:1993:NRA,
author = "Pentti Haukkanen",
title = "A Note on Rational Arithmetic Functions of Order $ (2,
1) $",
journal = j-FIB-QUART,
volume = "31",
number = "4",
pages = "302--306",
month = nov,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:01 MDT 2011",
bibsource = "http://www.fq.math.ca/31-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-4/haukkanen.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Filipponi:1993:RFL,
author = "Piero Filipponi",
title = "Real {Fibonacci} and {Lucas} Numbers with Real
Subscripts",
journal = j-FIB-QUART,
volume = "31",
number = "4",
pages = "307--314",
month = nov,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:01 MDT 2011",
bibsource = "http://www.fq.math.ca/31-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-4/filipponi.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Reiter:1993:FNR,
author = "Clifford A. Reiter",
title = "{Fibonacci} Numbers: Reduction Formulas and Short
Periods",
journal = j-FIB-QUART,
volume = "31",
number = "4",
pages = "315--324",
month = nov,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:01 MDT 2011",
bibsource = "http://www.fq.math.ca/31-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-4/reiter.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Akritas:1993:SFF,
author = "Alkiviadis G. Akritas",
title = "{Sylvester}'s Forgotten Form of the Resultant",
journal = j-FIB-QUART,
volume = "31",
number = "4",
pages = "325--332",
month = nov,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:01 MDT 2011",
bibsource = "http://www.fq.math.ca/31-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-4/akritas.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Spickerman:1993:SSD,
author = "W. R. Spickerman and R. L. Creech and R. N. Joyner",
title = "On the Structure of the Set of the Difference Systems
Defining {$ (3, F) $} Generalized {Fibonacci}
Sequences",
journal = j-FIB-QUART,
volume = "31",
number = "4",
pages = "333--337",
month = nov,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:01 MDT 2011",
bibsource = "http://www.fq.math.ca/31-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-4/spickerman.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rieger:1993:SUF,
author = "G. J. Rieger",
title = "Sums of Unit Fractions Having Long Continued
Fractions",
journal = j-FIB-QUART,
volume = "31",
number = "4",
pages = "338--340",
month = nov,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:01 MDT 2011",
bibsource = "http://www.fq.math.ca/31-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-4/rieger.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kennedy:1993:SPD,
author = "Robert E. Kennedy and Curtis Cooper",
title = "Sums of Powers of Digital Sums",
journal = j-FIB-QUART,
volume = "31",
number = "4",
pages = "341--345",
month = nov,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:01 MDT 2011",
bibsource = "http://www.fq.math.ca/31-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-4/kennedy.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bicknell-Johnson:1993:RRP,
author = "Marjorie Bicknell-Johnson",
title = "Retrograde Renegades and the {Pascal} Connection {II}:
Repeating Decimals Represented by Sequences of Diagonal
Sums of Generalized {Pascal} Triangles Appearing from
Right to Left",
journal = j-FIB-QUART,
volume = "31",
number = "4",
pages = "346--353",
month = nov,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:01 MDT 2011",
bibsource = "http://www.fq.math.ca/31-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-4/bicknell.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Moore:1993:FPS,
author = "Gregory A. Moore",
title = "A {Fibonacci} Polynomial Sequence Defined by
Multidimensional Continued Fractions; and Higher-Order
Golden Ratios",
journal = j-FIB-QUART,
volume = "31",
number = "4",
pages = "354--364",
month = nov,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:01 MDT 2011",
bibsource = "http://www.fq.math.ca/31-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-4/moore.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wang:1993:RPP,
author = "Jun Wang",
title = "Reduced $ \phi $-Partitions of Positive Integers",
journal = j-FIB-QUART,
volume = "31",
number = "4",
pages = "365--369",
month = nov,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:01 MDT 2011",
bibsource = "http://www.fq.math.ca/31-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-4/wang.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1993:ASIc,
author = "Anonymous",
title = "Announcement: {Sixth International Conference}",
journal = j-FIB-QUART,
volume = "31",
number = "4",
pages = "370--??",
month = nov,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:01 MDT 2011",
bibsource = "http://www.fq.math.ca/31-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-4/announcement.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rabinowitz:1993:EPSd,
author = "Stanley Rabinowitz",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "31",
number = "4",
pages = "371--376",
month = nov,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:01 MDT 2011",
bibsource = "http://www.fq.math.ca/31-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-4/elementary31-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1993:APSd,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "31",
number = "4",
pages = "377--382",
month = nov,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:01 MDT 2011",
bibsource = "http://www.fq.math.ca/31-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-4/advanced31-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1993:VI,
author = "Anonymous",
title = "Volume Index",
journal = j-FIB-QUART,
volume = "31",
number = "4",
pages = "383--??",
month = nov,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:01 MDT 2011",
bibsource = "http://www.fq.math.ca/31-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-4/index.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Young:1994:ACG,
author = "Paul Thomas Young",
title = "$p$-Adic Congruences for Generalized {Fibonacci}
Sequences",
journal = j-FIB-QUART,
volume = "32",
number = "1",
pages = "2--10",
month = feb,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:03 MDT 2011",
bibsource = "http://www.fq.math.ca/32-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-1/young.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Andre-Jeannin:1994:CPF,
author = "Richard Andr{\'e}-Jeannin",
title = "On a Conjecture of {Piero Filipponi}",
journal = j-FIB-QUART,
volume = "32",
number = "1",
pages = "11--13",
month = feb,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:03 MDT 2011",
bibsource = "http://www.fq.math.ca/32-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-1/andre-jeannin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1994:ASI,
author = "Anonymous",
title = "Announcement: {Sixth International Conference on
Fibonacci Numbers and Their Applications}",
journal = j-FIB-QUART,
volume = "32",
number = "1",
pages = "14--??",
month = feb,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:03 MDT 2011",
bibsource = "http://www.fq.math.ca/32-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-1/announcement.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Robbins:1994:FNP,
author = "Neville Robbins",
title = "On {Fibonacci} Numbers and Primes of the Form $ 4 k +
1 $",
journal = j-FIB-QUART,
volume = "32",
number = "1",
pages = "15--16",
month = feb,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:03 MDT 2011",
bibsource = "http://www.fq.math.ca/32-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-1/robbins.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Puly:1994:CJN,
author = "Kanakku Puly",
title = "Cross-Jump Numbers",
journal = j-FIB-QUART,
volume = "32",
number = "1",
pages = "17--??",
month = feb,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:03 MDT 2011",
bibsource = "http://www.fq.math.ca/32-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-1/puly.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Jennings:1994:SRF,
author = "Derek Jennings",
title = "On Sums of Reciprocals of {Fibonacci} and {Lucas}
Numbers",
journal = j-FIB-QUART,
volume = "32",
number = "1",
pages = "18--21",
month = feb,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:03 MDT 2011",
bibsource = "http://www.fq.math.ca/32-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-1/jennings.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Heuer:1994:FTS,
author = "Gerald A. Heuer and Ulrike Leopold-Wildburger",
title = "{Fibonacci}-Type Sequences and Minimal Solutions of
Discrete {Silverman} Games",
journal = j-FIB-QUART,
volume = "32",
number = "1",
pages = "22--43",
month = feb,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:03 MDT 2011",
bibsource = "http://www.fq.math.ca/32-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-1/heuer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Koutras:1994:ENA,
author = "M. V. Koutras",
title = "{Eulerian} Numbers Associated with Sequences of
Polynomials",
journal = j-FIB-QUART,
volume = "32",
number = "1",
pages = "44--57",
month = feb,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:03 MDT 2011",
bibsource = "http://www.fq.math.ca/32-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-1/koutras.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1994:R,
author = "Anonymous",
title = "Referees",
journal = j-FIB-QUART,
volume = "32",
number = "1",
pages = "58--59",
month = feb,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:03 MDT 2011",
bibsource = "http://www.fq.math.ca/32-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-1/referees.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Holte:1994:LTT,
author = "John M. Holte",
title = "A {Lucas}-Type Theorem for {Fibonomial}-Coefficient
Residues",
journal = j-FIB-QUART,
volume = "32",
number = "1",
pages = "60--68",
month = feb,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:03 MDT 2011",
bibsource = "http://www.fq.math.ca/32-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-1/holte.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hare:1994:FNF,
author = "E. O. Hare",
title = "{Fibonacci} Numbers and Fractional Domination of {$
P_m \times P_n $}",
journal = j-FIB-QUART,
volume = "32",
number = "1",
pages = "69--73",
month = feb,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:03 MDT 2011",
bibsource = "http://www.fq.math.ca/32-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-1/hare.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ehrlich:1994:CDD,
author = "Amos Ehrlich",
title = "Cycles in Doubling Diagrams mod $m$",
journal = j-FIB-QUART,
volume = "32",
number = "1",
pages = "74--78",
month = feb,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:03 MDT 2011",
bibsource = "http://www.fq.math.ca/32-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-1/ehrlich.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kyriakoussis:1994:CWC,
author = "A. Kyriakoussis",
title = "Congruences for a Wide Class of Integers by Using
{Gessel}'s Method",
journal = j-FIB-QUART,
volume = "32",
number = "1",
pages = "79--84",
month = feb,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:03 MDT 2011",
bibsource = "http://www.fq.math.ca/32-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-1/kyriakoussis.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rabinowitz:1994:EPSa,
author = "Stanley Rabinowitz",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "32",
number = "1",
pages = "85--90",
month = feb,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:03 MDT 2011",
bibsource = "http://www.fq.math.ca/32-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-1/elementary32-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1994:APSa,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "32",
number = "1",
pages = "91--97",
month = feb,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:03 MDT 2011",
bibsource = "http://www.fq.math.ca/32-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-1/advanced32-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hendel:1994:HEC,
author = "Russell Jay Hendel and Sandra A. Monteferrante",
title = "{Hofstadter}'s Extraction Conjecture",
journal = j-FIB-QUART,
volume = "32",
number = "2",
pages = "98--107",
month = may,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:05 MDT 2011",
bibsource = "http://www.fq.math.ca/32-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-2/hendel.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Deshpande:1994:UEF,
author = "M. N. Deshpande",
title = "An Unexpected Encounter with the {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "32",
number = "2",
pages = "108--109",
month = may,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:05 MDT 2011",
bibsource = "http://www.fq.math.ca/32-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-2/deshpande.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Filipponi:1994:ASD,
author = "Piero Filipponi and Alwyn F. Horadam",
title = "Addendum to {``Second Derivative Sequences of
Fibonacci and Lucas Polynomials''}",
journal = j-FIB-QUART,
volume = "32",
number = "2",
pages = "110--??",
month = may,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:05 MDT 2011",
bibsource = "http://www.fq.math.ca/32-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-2/filipponi.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wells:1994:FLT,
author = "Diana L. Wells",
title = "The {Fibonacci} and {Lucas} Triangles Modulo 2",
journal = j-FIB-QUART,
volume = "32",
number = "2",
pages = "111--123",
month = may,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:05 MDT 2011",
bibsource = "http://www.fq.math.ca/32-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-2/wells.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Trzaska:1994:MNT,
author = "Z. W. Trzaska",
title = "Modified Numerical Triangle and the {Fibonacci}
Sequences",
journal = j-FIB-QUART,
volume = "32",
number = "2",
pages = "124--129",
month = may,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:05 MDT 2011",
bibsource = "http://www.fq.math.ca/32-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-2/trzaska.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:1994:IDS,
author = "A. F. Horadam and B. Swita and P. Filipponi",
title = "Integration and Derivative Sequences for {Pell} and
{Pell--Lucas} Polynomials",
journal = j-FIB-QUART,
volume = "32",
number = "2",
pages = "130--135",
month = may,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:05 MDT 2011",
bibsource = "http://www.fq.math.ca/32-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-2/horadam.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Packard:1994:OPS,
author = "Robert W. Packard and Erik S. Packard",
title = "The Order of a Perfect $k$-Shuffle",
journal = j-FIB-QUART,
volume = "32",
number = "2",
pages = "136--144",
month = may,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:05 MDT 2011",
bibsource = "http://www.fq.math.ca/32-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-2/packard.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cassidy:1994:SPF,
author = "Charles Cassidy and Bernard R. Hodgson",
title = "On Some Properties of {Fibonacci} Diagonals in
{Pascal}'s Triangle",
journal = j-FIB-QUART,
volume = "32",
number = "2",
pages = "145--152",
month = may,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:05 MDT 2011",
bibsource = "http://www.fq.math.ca/32-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-2/cassidy.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bruckman:1994:ILP,
author = "Paul S. Bruckman",
title = "On the Infinitude of {Lucas} Pseudoprimes",
journal = j-FIB-QUART,
volume = "32",
number = "2",
pages = "153--154",
month = may,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:05 MDT 2011",
bibsource = "http://www.fq.math.ca/32-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-2/bruckman1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bruckman:1994:LPO,
author = "Paul S. Bruckman",
title = "{Lucas} Pseudoprimes are Odd",
journal = j-FIB-QUART,
volume = "32",
number = "2",
pages = "155--157",
month = may,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:05 MDT 2011",
bibsource = "http://www.fq.math.ca/32-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-2/bruckman2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bruckman:1994:CPF,
author = "Paul S. Bruckman",
title = "On a Conjecture of {Di Porto} and {Filipponi}",
journal = j-FIB-QUART,
volume = "32",
number = "2",
pages = "158--159",
month = may,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:05 MDT 2011",
bibsource = "http://www.fq.math.ca/32-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-2/bruckman3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Korntved:1994:EGS,
author = "Ed Korntved",
title = "Extensions to the {GCD Star of David Theorem}",
journal = j-FIB-QUART,
volume = "32",
number = "2",
pages = "160--166",
month = may,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:05 MDT 2011",
bibsource = "http://www.fq.math.ca/32-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-2/korntved.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Frame:1994:FNC,
author = "J. S. Frame",
title = "{Fibonacci} Numbers and a Chaotic Piecewise Linear
Function",
journal = j-FIB-QUART,
volume = "32",
number = "2",
pages = "167--169",
month = may,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:05 MDT 2011",
bibsource = "http://www.fq.math.ca/32-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-2/frame.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Arpaia:1994:GSS,
author = "Pasquale J. Arpaia",
title = "Generating Solutions for a Special Class of
{Diophantine} Equations",
journal = j-FIB-QUART,
volume = "32",
number = "2",
pages = "170--173",
month = may,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:05 MDT 2011",
bibsource = "http://www.fq.math.ca/32-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-2/arpaia.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Grundman:1994:SCN,
author = "H. G. Grundman",
title = "Sequences of Consecutive $n$-{Niven} Numbers",
journal = j-FIB-QUART,
volume = "32",
number = "2",
pages = "174--175",
month = may,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:05 MDT 2011",
bibsource = "http://www.fq.math.ca/32-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-2/grundman.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gould:1994:BFT,
author = "H. W. Gould",
title = "A Bracket Function Transform and Its Inverse",
journal = j-FIB-QUART,
volume = "32",
number = "2",
pages = "176--179",
month = may,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:05 MDT 2011",
bibsource = "http://www.fq.math.ca/32-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-2/gould.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rabinowitz:1994:EPSb,
author = "Stanley Rabinowitz",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "32",
number = "2",
pages = "180--186",
month = may,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:05 MDT 2011",
bibsource = "http://www.fq.math.ca/32-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-2/elementary32-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1994:APSb,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "32",
number = "2",
pages = "187--193",
month = may,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:05 MDT 2011",
bibsource = "http://www.fq.math.ca/32-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-2/advanced32-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lengyel:1994:DSN,
author = "T. Lengyel",
title = "On the Divisibility by $2$ of the {Stirling} Numbers
of the Second Kind",
journal = j-FIB-QUART,
volume = "32",
number = "3",
pages = "194--201",
month = jun,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:07 MDT 2011",
bibsource = "http://www.fq.math.ca/32-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-3/lengyel.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:1994:UMR,
author = "A. F. Horadam",
title = "Unique Minimal Representation of Integers by
Negatively subscripted {Pell} Numbers",
journal = j-FIB-QUART,
volume = "32",
number = "3",
pages = "202--206",
month = jun,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:07 MDT 2011",
bibsource = "http://www.fq.math.ca/32-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-3/horadam1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brown:1994:PDS,
author = "Tom C. Brown",
title = "Powers of Digital Sums",
journal = j-FIB-QUART,
volume = "32",
number = "3",
pages = "207--210",
month = jun,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:07 MDT 2011",
bibsource = "http://www.fq.math.ca/32-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-3/brown.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Moore:1994:LGN,
author = "Gregory A. Moore",
title = "The Limit of the Golden Numbers is $ 3 / 2 $",
journal = j-FIB-QUART,
volume = "32",
number = "3",
pages = "211--217",
month = jun,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:07 MDT 2011",
bibsource = "http://www.fq.math.ca/32-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-3/moore.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{El-Desouky:1994:MNS,
author = "B. S. El-Desouky",
title = "The Multiparameter Noncentral {Stirling} Numbers",
journal = j-FIB-QUART,
volume = "32",
number = "3",
pages = "218--225",
month = jun,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:07 MDT 2011",
bibsource = "http://www.fq.math.ca/32-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-3/eldesouky.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Pla:1994:AND,
author = "Juan Pla",
title = "An ``All or None'' Divisibility Property for a Class
of {Fibonacci}-Like Sequences of Integers",
journal = j-FIB-QUART,
volume = "32",
number = "3",
pages = "226--227",
month = jun,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:07 MDT 2011",
bibsource = "http://www.fq.math.ca/32-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-3/pla.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Andre-Jeannin:1994:GMV,
author = "Richard Andr{\'e}-Jeannin",
title = "A Generalization of {Morgan--Voyce} Polynomials",
journal = j-FIB-QUART,
volume = "32",
number = "3",
pages = "228--231",
month = jun,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:07 MDT 2011",
bibsource = "http://www.fq.math.ca/32-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-3/andre-jeannin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bruce:1994:AIG,
author = "Ian Bruce",
title = "Another Instance of the Golden Right Triangle",
journal = j-FIB-QUART,
volume = "32",
number = "3",
pages = "232--233",
month = jun,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:07 MDT 2011",
bibsource = "http://www.fq.math.ca/32-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-3/bruce.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Redmond:1994:IPF,
author = "Don Redmond",
title = "Infinite Products and {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "32",
number = "3",
pages = "234--239",
month = jun,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:07 MDT 2011",
bibsource = "http://www.fq.math.ca/32-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-3/redmond.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:1994:MRP,
author = "A. F. Horadam",
title = "Maximal Representations of Positive Integers by {Pell}
Numbers",
journal = j-FIB-QUART,
volume = "32",
number = "3",
pages = "240--244",
month = jun,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:07 MDT 2011",
bibsource = "http://www.fq.math.ca/32-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-3/horadam2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Filipponi:1994:ICF,
author = "Piero Filipponi and Marco Bucci",
title = "On the Integrity of Certain {Fibonacci} Sums",
journal = j-FIB-QUART,
volume = "32",
number = "3",
pages = "245--252",
month = jun,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:07 MDT 2011",
bibsource = "http://www.fq.math.ca/32-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-3/filipponi.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hung:1994:USO,
author = "W. T. Hung and A. G. Shannon and B. S. Thornton",
title = "The Use of a Second-order Recurrence Relation in the
Diagnosis of Breast Cancer",
journal = j-FIB-QUART,
volume = "32",
number = "3",
pages = "253--259",
month = jun,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:07 MDT 2011",
bibsource = "http://www.fq.math.ca/32-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-3/hung.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carroll:1994:DTT,
author = "Dana Carroll and Eliot Jacobson and Lawrence Somer",
title = "Distribution of Two-Term Recurrence Sequences Mod {$
P^e $}",
journal = j-FIB-QUART,
volume = "32",
number = "3",
pages = "260--265",
month = jun,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:07 MDT 2011",
bibsource = "http://www.fq.math.ca/32-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-3/carroll.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Colman:1994:PCG,
author = "W. J. A. Colman",
title = "A Perfect Cuboid in {Gaussian} Integers",
journal = j-FIB-QUART,
volume = "32",
number = "3",
pages = "266--268",
month = jun,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:07 MDT 2011",
bibsource = "http://www.fq.math.ca/32-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-3/colman.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lee:1994:NNP,
author = "Jack Y. Lee",
title = "A Note on the Negative {Pascal} Triangle",
journal = j-FIB-QUART,
volume = "32",
number = "3",
pages = "269--270",
month = jun,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:07 MDT 2011",
bibsource = "http://www.fq.math.ca/32-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-3/lee.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{deBruyn:1994:F,
author = "G. F. C. de Bruyn and J. M. de Villiers",
title = "Formulas for $ 1 + 2^p + 3^p + \cdots {} + n^p $",
journal = j-FIB-QUART,
volume = "32",
number = "3",
pages = "271--276",
month = jun,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:07 MDT 2011",
bibsource = "http://www.fq.math.ca/32-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-3/debruyn.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Tee:1994:PPZ,
author = "Garry J. Tee",
title = "Prime Powers of Zeros of Monic Polynomials with
Integer Coefficients",
journal = j-FIB-QUART,
volume = "32",
number = "3",
pages = "277--283",
month = jun,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:07 MDT 2011",
bibsource = "http://www.fq.math.ca/32-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-3/tee.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Good:1994:SPA,
author = "I. J. Good",
title = "A Symmetry Property of Alternating Sums of Products of
Reciprocals",
journal = j-FIB-QUART,
volume = "32",
number = "3",
pages = "284--287",
month = jun,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:07 MDT 2011",
bibsource = "http://www.fq.math.ca/32-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-3/good.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1994:Aa,
author = "Anonymous",
title = "Announcement",
journal = j-FIB-QUART,
volume = "32",
number = "3",
pages = "288--289",
month = jun,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:07 MDT 2011",
bibsource = "http://www.fq.math.ca/32-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-3/announcement.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Padmakumar:1994:JPM,
author = "T. V. Padmakumar",
title = "A Juxtaposition Property for the $ 4 \times 4 $ Magic
Square",
journal = j-FIB-QUART,
volume = "32",
number = "4",
pages = "290--292",
month = aug,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:09 MDT 2011",
bibsource = "http://www.fq.math.ca/32-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-4/padmakumar.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Balakrishnan:1994:SR,
author = "U. Balakrishnan",
title = "Some Remarks on $ \sigma (\theta (n)) $",
journal = j-FIB-QUART,
volume = "32",
number = "4",
pages = "293--296",
month = aug,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:09 MDT 2011",
bibsource = "http://www.fq.math.ca/32-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-4/balakrishnan.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{McDaniel:1994:GIF,
author = "Wayne L. McDaniel",
title = "On the Greatest Integer Function and {Lucas}
Sequences",
journal = j-FIB-QUART,
volume = "32",
number = "4",
pages = "297--300",
month = aug,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:09 MDT 2011",
bibsource = "http://www.fq.math.ca/32-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-4/mcdaniel1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kimberling:1994:FCI,
author = "Clark Kimberling",
title = "The First Column of an Interspersion",
journal = j-FIB-QUART,
volume = "32",
number = "4",
pages = "301--315",
month = aug,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:09 MDT 2011",
bibsource = "http://www.fq.math.ca/32-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-4/kimberling.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Howard:1994:CRB,
author = "F. T. Howard",
title = "Congruences and Recurrences for {Bernoulli} Numbers of
Higher Orders",
journal = j-FIB-QUART,
volume = "32",
number = "4",
pages = "316--328",
month = aug,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:09 MDT 2011",
bibsource = "http://www.fq.math.ca/32-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-4/howard.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Govindaraju:1994:FN,
author = "Rama K. Govindaraju and M. S. Krishnamoorthy and
Narsingh Deo",
title = "{Fibonacci} Networks",
journal = j-FIB-QUART,
volume = "32",
number = "4",
pages = "329--345",
month = aug,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:09 MDT 2011",
bibsource = "http://www.fq.math.ca/32-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-4/govindaraju.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{McDaniel:1994:ICS,
author = "Wayne L. McDaniel",
title = "The Irrationality of Certain Series Whose Terms Are
Reciprocals of {Lucas} Sequence Terms",
journal = j-FIB-QUART,
volume = "32",
number = "4",
pages = "346--351",
month = aug,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:09 MDT 2011",
bibsource = "http://www.fq.math.ca/32-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-4/mcdaniel2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Giordano:1994:NCP,
author = "George Giordano",
title = "A Note on Consecutive Prime Numbers",
journal = j-FIB-QUART,
volume = "32",
number = "4",
pages = "352--355",
month = aug,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:09 MDT 2011",
bibsource = "http://www.fq.math.ca/32-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-4/giordano.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Filipponi:1994:FAS,
author = "Piero Filipponi and Herta T. Freitag",
title = "{Fibonacci} Autocorrelation Sequences",
journal = j-FIB-QUART,
volume = "32",
number = "4",
pages = "356--368",
month = aug,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:09 MDT 2011",
bibsource = "http://www.fq.math.ca/32-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-4/filipponi.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Haukkanen:1994:RSU,
author = "Pentti Haukkanen",
title = "Roots of Sequences Under Covolutions",
journal = j-FIB-QUART,
volume = "32",
number = "4",
pages = "369--372",
month = aug,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:09 MDT 2011",
bibsource = "http://www.fq.math.ca/32-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-4/haukkanen.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rabinowitz:1994:EPSc,
author = "Stanley Rabinowitz",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "32",
number = "4",
pages = "373--378",
month = aug,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:09 MDT 2011",
bibsource = "http://www.fq.math.ca/32-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-4/elementary32-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1994:APSc,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "32",
number = "4",
pages = "379--385",
month = aug,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:09 MDT 2011",
bibsource = "http://www.fq.math.ca/32-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-4/advanced32-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hilton:1994:NGP,
author = "Peter Hilton and Jean Pedersen",
title = "A Note on a Geometrical Property of {Fibonacci}
Numbers",
journal = j-FIB-QUART,
volume = "32",
number = "5",
pages = "386--388",
month = nov,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:11 MDT 2011",
bibsource = "http://www.fq.math.ca/32-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-5/hilton.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Grabner:1994:FK,
author = "Peter J. Grabner and Helmut Prodinger",
title = "The {Fibonacci} Killer",
journal = j-FIB-QUART,
volume = "32",
number = "5",
pages = "389--394",
month = nov,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:11 MDT 2011",
bibsource = "http://www.fq.math.ca/32-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-5/grabner.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hauss:1994:FLC,
author = "Michael Hauss",
title = "{Fibonacci}, {Lucas}, and Central Factorial Numbers,
and $ \pi $",
journal = j-FIB-QUART,
volume = "32",
number = "5",
pages = "395--396",
month = nov,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:11 MDT 2011",
bibsource = "http://www.fq.math.ca/32-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-5/hauss.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lengyel:1994:CAO,
author = "T. Lengyel",
title = "Characterizing the $2$-Adic Order of the Logarithm",
journal = j-FIB-QUART,
volume = "32",
number = "5",
pages = "397--401",
month = nov,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:11 MDT 2011",
bibsource = "http://www.fq.math.ca/32-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-5/lengyel.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Volodin:1994:NMC,
author = "Nikolai A. Volodin",
title = "Number of Multinomial Coefficients not Divisible by a
Prime",
journal = j-FIB-QUART,
volume = "32",
number = "5",
pages = "402--406",
month = nov,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:11 MDT 2011",
bibsource = "http://www.fq.math.ca/32-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-5/volodin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rodseth:1994:NBS,
author = "{\"O}ystein J. R{\"o}dseth",
title = "A Note on {Brown} and {Shiue}'s Paper on a Remark
Related to the {Frobenius} Problem",
journal = j-FIB-QUART,
volume = "32",
number = "5",
pages = "407--408",
month = nov,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:11 MDT 2011",
bibsource = "http://www.fq.math.ca/32-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-5/rodseth.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:1994:APU,
author = "A. F. Horadam",
title = "An Alternative Proof of a Unique Representation
Theorem",
journal = j-FIB-QUART,
volume = "32",
number = "5",
pages = "409--410",
month = nov,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:11 MDT 2011",
bibsource = "http://www.fq.math.ca/32-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-5/horadam1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1994:NEP,
author = "Anonymous",
title = "New Editorial Policies",
journal = j-FIB-QUART,
volume = "32",
number = "5",
pages = "411--??",
month = nov,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:11 MDT 2011",
bibsource = "http://www.fq.math.ca/32-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-5/editorial.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Prodinger:1994:SIA,
author = "Helmut Prodinger",
title = "Some Information about the Binomial Transform",
journal = j-FIB-QUART,
volume = "32",
number = "5",
pages = "412--415",
month = nov,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:11 MDT 2011",
bibsource = "http://www.fq.math.ca/32-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-5/prodinger.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Shallit:1994:PER,
author = "Jeffrey Shallit",
title = "{Pierce} Expansions and Rules for the Determination of
Leap Years",
journal = j-FIB-QUART,
volume = "32",
number = "5",
pages = "416--423",
month = nov,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:11 MDT 2011",
bibsource = "http://www.fq.math.ca/32-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-5/shallit.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Melham:1994:SCP,
author = "R. S. Melham and A. G. Shannon",
title = "Some Congruence Properties of Generalized Second-Order
Integer Sequences",
journal = j-FIB-QUART,
volume = "32",
number = "5",
pages = "424--428",
month = nov,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:11 MDT 2011",
bibsource = "http://www.fq.math.ca/32-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-5/melham.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:1994:PSS,
author = "A. F. Horadam",
title = "Partial Sums for Second-Order Recurrence Sequences",
journal = j-FIB-QUART,
volume = "32",
number = "5",
pages = "429--439",
month = nov,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:11 MDT 2011",
bibsource = "http://www.fq.math.ca/32-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-5/horadam2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1994:Ab,
author = "Anonymous",
title = "Announcement",
journal = j-FIB-QUART,
volume = "32",
number = "5",
pages = "440--??",
month = nov,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:11 MDT 2011",
bibsource = "http://www.fq.math.ca/32-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-5/announcement.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Johnson:1994:CFA,
author = "D. L. Johnson and A. C. Kim",
title = "Cyclic {Fibonacci} Algebras",
journal = j-FIB-QUART,
volume = "32",
number = "5",
pages = "441--444",
month = nov,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:11 MDT 2011",
bibsource = "http://www.fq.math.ca/32-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-5/johnson.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Andre-Jeannin:1994:NGC,
author = "Richard Andr{\'e}-Jeannin",
title = "A Note on a General Class of Polynomials",
journal = j-FIB-QUART,
volume = "32",
number = "5",
pages = "445--454",
month = nov,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:11 MDT 2011",
bibsource = "http://www.fq.math.ca/32-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-5/andre-jeannin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Filipponi:1994:EDP,
author = "Piero Filipponi and Renato Menicocci and Alwyn F.
Horadam",
title = "Extended {Dickson} Polynomials",
journal = j-FIB-QUART,
volume = "32",
number = "5",
pages = "455--464",
month = nov,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:11 MDT 2011",
bibsource = "http://www.fq.math.ca/32-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-5/filipponi.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Freitag:1994:FCP,
author = "Herta T. Freitag",
title = "The {Fibonacci Conference} in {Pullman}",
journal = j-FIB-QUART,
volume = "32",
number = "5",
pages = "465--466",
month = nov,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:11 MDT 2011",
bibsource = "http://www.fq.math.ca/32-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-5/freitag.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rabinowitz:1994:EPSd,
author = "Stanley Rabinowitz",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "32",
number = "5",
pages = "467--472",
month = nov,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:11 MDT 2011",
bibsource = "http://www.fq.math.ca/32-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-5/elementary32-5.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1994:APSd,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "32",
number = "5",
pages = "473--478",
month = nov,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:11 MDT 2011",
bibsource = "http://www.fq.math.ca/32-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-5/advanced32-5.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1994:VI,
author = "Anonymous",
title = "Volume Index",
journal = j-FIB-QUART,
volume = "32",
number = "5",
pages = "479--??",
month = nov,
year = "1994",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:11 MDT 2011",
bibsource = "http://www.fq.math.ca/32-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/32-5/index.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1995:R,
author = "Anonymous",
title = "Referees",
journal = j-FIB-QUART,
volume = "33",
number = "1",
pages = "2--??",
month = feb,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:13 MDT 2011",
bibsource = "http://www.fq.math.ca/33-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-1/referees.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kimberling:1995:ZAE,
author = "Clark Kimberling",
title = "The {Zeckendorf} Array Equals the {Wythoff} Array",
journal = j-FIB-QUART,
volume = "33",
number = "1",
pages = "3--8",
month = feb,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:13 MDT 2011",
bibsource = "http://www.fq.math.ca/33-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-1/kimberling.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Spickerman:1995:FGF,
author = "W. R. Spickerman and R. L. Creech and R. N. Joyner",
title = "On the {$ (3, F) $} Generalizations of the {Fibonacci}
Sequence",
journal = j-FIB-QUART,
volume = "33",
number = "1",
pages = "9--12",
month = feb,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:13 MDT 2011",
bibsource = "http://www.fq.math.ca/33-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-1/spickerman.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Melham:1995:SIS,
author = "R. S. Melham and A. G. Shannon",
title = "Some Infinite Series Summations Using Power Series
Evaluated at a Matrix",
journal = j-FIB-QUART,
volume = "33",
number = "1",
pages = "13--20",
month = feb,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:13 MDT 2011",
bibsource = "http://www.fq.math.ca/33-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-1/melham1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Abrahams:1995:VCG,
author = "Julia Abrahams",
title = "Varn Codes and Generalized {Fibonacci} Trees",
journal = j-FIB-QUART,
volume = "33",
number = "1",
pages = "21--25",
month = feb,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:13 MDT 2011",
bibsource = "http://www.fq.math.ca/33-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-1/abrahams.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Webster:1995:CPF,
author = "Roger Webster",
title = "A Combinatorial Problem with a {Fibonacci} Solution",
journal = j-FIB-QUART,
volume = "33",
number = "1",
pages = "26--31",
month = feb,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:13 MDT 2011",
bibsource = "http://www.fq.math.ca/33-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-1/webster.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Melham:1995:ITH,
author = "R. S. Melham and A. G. Shannon",
title = "Inverse Trigonometric Hyperbolic Summation Formulas
Involving Generalized {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "33",
number = "1",
pages = "32--40",
month = feb,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:13 MDT 2011",
bibsource = "http://www.fq.math.ca/33-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-1/melham2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{DeLeon:1995:SRI,
author = "Morris Jack DeLeon",
title = "Sequences Related to an Infinite Product Expansion for
the Square Root and Cube Root Functions",
journal = j-FIB-QUART,
volume = "33",
number = "1",
pages = "41--49",
month = feb,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:13 MDT 2011",
bibsource = "http://www.fq.math.ca/33-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-1/deleon.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bicknell-Johnson:1995:GII,
author = "Marjorie Bicknell-Johnson and David A. Englund",
title = "Greatest Integer Identities for Generalized
{Fibonacci} Sequences {$ \{ H_n \} $}, Where {$ H_n =
H_{n - 1} + H_{n - 2} $}",
journal = j-FIB-QUART,
volume = "33",
number = "1",
pages = "50--58",
month = feb,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:13 MDT 2011",
bibsource = "http://www.fq.math.ca/33-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-1/bicknell.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{McDaniel:1995:DRL,
author = "Wayne L. McDaniel",
title = "{Diophantine} Representation of {Lucas} Sequences",
journal = j-FIB-QUART,
volume = "33",
number = "1",
pages = "59--63",
month = feb,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:13 MDT 2011",
bibsource = "http://www.fq.math.ca/33-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-1/mcdaniel.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Melham:1995:SSI,
author = "R. S. Melham and A. G. Shannon",
title = "Some Summation Identities Using Generalized
{$Q$}-Matrices",
journal = j-FIB-QUART,
volume = "33",
number = "1",
pages = "64--73",
month = feb,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:13 MDT 2011",
bibsource = "http://www.fq.math.ca/33-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-1/melham3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Dimitrov:1995:FMM,
author = "Vassil S. Dimitrov and Borislav D. Donevsky",
title = "Faster Multiplication of Medium Large Numbers Via the
{Zeckendorf} Representation",
journal = j-FIB-QUART,
volume = "33",
number = "1",
pages = "74--77",
month = feb,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:13 MDT 2011",
bibsource = "http://www.fq.math.ca/33-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-1/dimitrov.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Young:1995:QRL,
author = "Paul Thomas Young",
title = "Quadratic Reciprocity Via {Lucas} Sequences",
journal = j-FIB-QUART,
volume = "33",
number = "1",
pages = "78--81",
month = feb,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:13 MDT 2011",
bibsource = "http://www.fq.math.ca/33-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-1/young.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Melham:1995:GCI,
author = "R. S. Melham and A. G. Shannon",
title = "A Generalization of the {Catalan} Identity and Some
Consequences",
journal = j-FIB-QUART,
volume = "33",
number = "1",
pages = "82--84",
month = feb,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:13 MDT 2011",
bibsource = "http://www.fq.math.ca/33-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-1/melham4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rabinowitz:1995:EPSa,
author = "Stanley Rabinowitz",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "33",
number = "1",
pages = "85--90",
month = feb,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:13 MDT 2011",
bibsource = "http://www.fq.math.ca/33-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-1/elementary33-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1995:APSa,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "33",
number = "1",
pages = "91--97",
month = feb,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:13 MDT 2011",
bibsource = "http://www.fq.math.ca/33-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-1/advanced33-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{deBruyn:1995:F,
author = "G. F. C. de Bruyn",
title = "Formulas $ a + a^2 2^p + a^3 3^p + \cdots {} + a^n n^p
$",
journal = j-FIB-QUART,
volume = "33",
number = "2",
pages = "98--103",
month = may,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:15 MDT 2011",
bibsource = "http://www.fq.math.ca/33-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-2/debruyn.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Chuan:1995:GFW,
author = "Wai-fong Chuan",
title = "Generating {Fibonacci} Words",
journal = j-FIB-QUART,
volume = "33",
number = "2",
pages = "104--112",
month = may,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:15 MDT 2011",
bibsource = "http://www.fq.math.ca/33-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-2/chuan1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Chuan:1995:EPG,
author = "Wai-fong Chuan",
title = "Extraction Property of the Golden Sequence",
journal = j-FIB-QUART,
volume = "33",
number = "2",
pages = "113--122",
month = may,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:15 MDT 2011",
bibsource = "http://www.fq.math.ca/33-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-2/chuan2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rotkiewicz:1995:EP,
author = "A. Rotkiewicz and K. Ziemak",
title = "On Even Pseudoprimes",
journal = j-FIB-QUART,
volume = "33",
number = "2",
pages = "123--125",
month = may,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:15 MDT 2011",
bibsource = "http://www.fq.math.ca/33-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-2/rotkiewicz.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Melham:1995:GSS,
author = "R. S. Melham and A. G. Shannon",
title = "Generalizations of Some Simple Congruences",
journal = j-FIB-QUART,
volume = "33",
number = "2",
pages = "126--130",
month = may,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:15 MDT 2011",
bibsource = "http://www.fq.math.ca/33-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-2/melham1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Subramanian:1995:NZH,
author = "P. R. Subramanian",
title = "Nonzero Zeros of the {Hermite} Polynomials are
Irrational",
journal = j-FIB-QUART,
volume = "33",
number = "2",
pages = "131--134",
month = may,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:15 MDT 2011",
bibsource = "http://www.fq.math.ca/33-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-2/subramanian.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Melham:1995:GRD,
author = "R. S. Melham and A. G. Shannon",
title = "A Generalization of a Result of {D'Ocagne}",
journal = j-FIB-QUART,
volume = "33",
number = "2",
pages = "135--138",
month = may,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:15 MDT 2011",
bibsource = "http://www.fq.math.ca/33-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-2/melham2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Prodinger:1995:GDF,
author = "Helmut Prodinger",
title = "Geometric Distributions and Forbidden Subwords",
journal = j-FIB-QUART,
volume = "33",
number = "2",
pages = "139--141",
month = may,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:15 MDT 2011",
bibsource = "http://www.fq.math.ca/33-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-2/prodinger.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Melham:1995:GLR,
author = "Ray Melham and Derek Jennings",
title = "On the General Linear Recurrence Relation",
journal = j-FIB-QUART,
volume = "33",
number = "2",
pages = "142--146",
month = may,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:15 MDT 2011",
bibsource = "http://www.fq.math.ca/33-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-2/melham3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gamkrelidze:1995:PPF,
author = "N. G. Gamkrelidze",
title = "On a Probabilistic Property of the {Fibonacci}
Sequence",
journal = j-FIB-QUART,
volume = "33",
number = "2",
pages = "147--152",
month = may,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:15 MDT 2011",
bibsource = "http://www.fq.math.ca/33-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-2/gamkrelidze.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Knopfmacher:1995:PER,
author = "Arnold Knopfmacher and M. E. Mays",
title = "{Pierce} Expansions of Ratios and {Fibonacci} and
{Lucas} Numbers and Polynomials",
journal = j-FIB-QUART,
volume = "33",
number = "2",
pages = "153--163",
month = may,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:15 MDT 2011",
bibsource = "http://www.fq.math.ca/33-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-2/knopfmacher.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hope:1995:EGR,
author = "Peter Hope",
title = "Exponential Growth of Random {Fibonacci} Sequences",
journal = j-FIB-QUART,
volume = "33",
number = "2",
pages = "164--168",
month = may,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:15 MDT 2011",
bibsource = "http://www.fq.math.ca/33-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-2/hope.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hsu:1995:DOA,
author = "L. C. Hsu",
title = "A Difference-Operational Approach to the {M{\"o}bius}
Inversion Formulas",
journal = j-FIB-QUART,
volume = "33",
number = "2",
pages = "169--173",
month = may,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:15 MDT 2011",
bibsource = "http://www.fq.math.ca/33-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-2/hsu.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wang:1995:DSF,
author = "Jun Wang",
title = "On the $k$ th Derivative Sequences of {Fibonacci} and
{Lucas} Polynomials",
journal = j-FIB-QUART,
volume = "33",
number = "2",
pages = "174--178",
month = may,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:15 MDT 2011",
bibsource = "http://www.fq.math.ca/33-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-2/wang.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bialek:1995:NCR,
author = "Krystyna Bialek",
title = "A Note on {Choudhry}'s Results",
journal = j-FIB-QUART,
volume = "33",
number = "2",
pages = "179--180",
month = may,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:15 MDT 2011",
bibsource = "http://www.fq.math.ca/33-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-2/bialek.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rabinowitz:1995:EPSb,
author = "Stanley Rabinowitz",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "33",
number = "2",
pages = "181--186",
month = may,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:15 MDT 2011",
bibsource = "http://www.fq.math.ca/33-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-2/elementary33-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1995:APSb,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "33",
number = "2",
pages = "187--193",
month = may,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:15 MDT 2011",
bibsource = "http://www.fq.math.ca/33-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-2/advanced33-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Melham:1995:RSC,
author = "R. S. Melham and A. G. Shannon",
title = "On Reciprocal Sums of {Chebyshev} Related Sequences",
journal = j-FIB-QUART,
volume = "33",
number = "3",
pages = "194--202",
month = jun,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:17 MDT 2011",
bibsource = "http://www.fq.math.ca/33-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-3/melham.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Khan:1995:SIM,
author = "M. A. Khan and Y. H. Harris Kwong",
title = "Some Invariant and Minimum Properties of {Stirling}
Numbers of the Second Kind",
journal = j-FIB-QUART,
volume = "33",
number = "3",
pages = "203--205",
month = jun,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:17 MDT 2011",
bibsource = "http://www.fq.math.ca/33-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-3/khan.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Izotov:1995:NSN,
author = "Anatoly S. Izotov",
title = "A Note on {Sierpinski} Numbers",
journal = j-FIB-QUART,
volume = "33",
number = "3",
pages = "206--207",
month = jun,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:17 MDT 2011",
bibsource = "http://www.fq.math.ca/33-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-3/izotov.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kimberling:1995:CCI,
author = "Clark Kimberling",
title = "Conjectures Concerning Irrational Numbers and
Integers",
journal = j-FIB-QUART,
volume = "33",
number = "3",
pages = "208--210",
month = jun,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:17 MDT 2011",
bibsource = "http://www.fq.math.ca/33-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-3/kimberling.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hilton:1995:CAP,
author = "Peter Hilton and Jean Pedersen and Luc Vrancken",
title = "On Certain Arithmetic Properties of {Fibonacci} and
{Lucas} Numbers",
journal = j-FIB-QUART,
volume = "33",
number = "3",
pages = "211--217",
month = jun,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:17 MDT 2011",
bibsource = "http://www.fq.math.ca/33-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-3/hilton.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cook:1995:SAP,
author = "Roger Cook and David Sharpe",
title = "Sums of Arithmetic Progressions",
journal = j-FIB-QUART,
volume = "33",
number = "3",
pages = "218--220",
month = jun,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:17 MDT 2011",
bibsource = "http://www.fq.math.ca/33-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-3/cook.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1995:SIRa,
author = "Anonymous",
title = "{Seventh International Research Conference}",
journal = j-FIB-QUART,
volume = "33",
number = "3",
pages = "221--??",
month = jun,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:17 MDT 2011",
bibsource = "http://www.fq.math.ca/33-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-3/announcement.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Balkin:1995:SPC,
author = "S. D. Balkin and D. S. Cousins and C. K. Orr and C. A.
Reiter",
title = "Short Periods of Continued Fraction Convergents Modulo
{$M$}: a Generalization of the {Fibonacci} Case",
journal = j-FIB-QUART,
volume = "33",
number = "3",
pages = "222--233",
month = jun,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:17 MDT 2011",
bibsource = "http://www.fq.math.ca/33-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-3/balkin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lengyel:1995:OFL,
author = "T. Lengyel",
title = "The Order of the {Fibonacci} and {Lucas} Numbers",
journal = j-FIB-QUART,
volume = "33",
number = "3",
pages = "234--239",
month = jun,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:17 MDT 2011",
bibsource = "http://www.fq.math.ca/33-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-3/lengyel.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Shi:1995:CRS,
author = "Xiquan Shi",
title = "Concerning the Recursive Sequences {$ A_{n + k} =
\sum_{i = 1}^k a_i A^{a_i}_{n + i - 1} $}",
journal = j-FIB-QUART,
volume = "33",
number = "3",
pages = "240--243",
month = jun,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:17 MDT 2011",
bibsource = "http://www.fq.math.ca/33-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-3/shi.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Dubeau:1995:TRN,
author = "Fran{\c{c}}ois Dubeau and Alain Pautasso",
title = "On Triangular Rectangular Numbers",
journal = j-FIB-QUART,
volume = "33",
number = "3",
pages = "244--248",
month = jun,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:17 MDT 2011",
bibsource = "http://www.fq.math.ca/33-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-3/dubeau.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Atanassov:1995:RND,
author = "Krassimir T. Atanassov",
title = "Remark on a New Direction for a Generalization of the
{Fibonacci} Sequence",
journal = j-FIB-QUART,
volume = "33",
number = "3",
pages = "249--250",
month = jun,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:17 MDT 2011",
bibsource = "http://www.fq.math.ca/33-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-3/atanassov.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Filipponi:1995:SBF,
author = "Piero Filipponi",
title = "Some Binomial {Fibonacci} Identities",
journal = j-FIB-QUART,
volume = "33",
number = "3",
pages = "251--257",
month = jun,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:17 MDT 2011",
bibsource = "http://www.fq.math.ca/33-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-3/filipponi.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brenton:1995:SC,
author = "Lawrence Brenton and Mi-Kyung Joo",
title = "On the System of Congruences {$ \Pi_{j \not = i} n_j
\equiv 1 \bmod n_i $}",
journal = j-FIB-QUART,
volume = "33",
number = "3",
pages = "258--267",
month = jun,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:17 MDT 2011",
bibsource = "http://www.fq.math.ca/33-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-3/brenton.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Glasson:1995:RFI,
author = "Alan R. Glasson",
title = "Remainder Formulas Involving Generalized {Fibonacci}
and {Lucas} Polynomials",
journal = j-FIB-QUART,
volume = "33",
number = "3",
pages = "268--272",
month = jun,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:17 MDT 2011",
bibsource = "http://www.fq.math.ca/33-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-3/glasson.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lee:1995:NGF,
author = "Gwang-Yeon Lee and Sang-Gu Lee",
title = "A Note on Generalized {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "33",
number = "3",
pages = "273--278",
month = jun,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:17 MDT 2011",
bibsource = "http://www.fq.math.ca/33-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-3/lee.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ando:1995:SSD,
author = "Shiro Ando",
title = "On a System of Sequences Defined by a Recurrence
Relation",
journal = j-FIB-QUART,
volume = "33",
number = "3",
pages = "279--282",
month = jun,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:17 MDT 2011",
bibsource = "http://www.fq.math.ca/33-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-3/ando.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hahn:1995:NMP,
author = "Sang Geun Hahn and Jun Kyo Kim",
title = "A Note on Multiplicative Partition of Bipartite
Numbers",
journal = j-FIB-QUART,
volume = "33",
number = "3",
pages = "283--289",
month = jun,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:17 MDT 2011",
bibsource = "http://www.fq.math.ca/33-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-3/hahn.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kimball:1995:CFC,
author = "William A. Kimball and William A. Webb",
title = "A Congruence for {Fibonomial} Coefficients Modulo $
p^3 $",
journal = j-FIB-QUART,
volume = "33",
number = "4",
pages = "290--297",
month = aug,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:19 MDT 2011",
bibsource = "http://www.fq.math.ca/33-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-4/kimball.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bicknell-Johnson:1995:VGR,
author = "Marjorie Bicknell-Johnson and Duane DeTemple",
title = "Visualizing Golden Ratio Sums with Tiling Patterns",
journal = j-FIB-QUART,
volume = "33",
number = "4",
pages = "298--302",
month = aug,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:19 MDT 2011",
bibsource = "http://www.fq.math.ca/33-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-4/bicknell.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1995:SIRb,
author = "Anonymous",
title = "{Seventh International Research Conference}",
journal = j-FIB-QUART,
volume = "33",
number = "4",
pages = "303--??",
month = aug,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:19 MDT 2011",
bibsource = "http://www.fq.math.ca/33-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-4/announcement.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cooper:1995:PRJ,
author = "Curtis Cooper and Robert E. Kennedy",
title = "Proof of a Result by {Jarden} by Generalizing a Proof
by {Carlitz}",
journal = j-FIB-QUART,
volume = "33",
number = "4",
pages = "304--310",
month = aug,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:19 MDT 2011",
bibsource = "http://www.fq.math.ca/33-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-4/cooper.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Robbins:1995:NRC,
author = "Neville Robbins",
title = "A Note Regarding Continued Fractions",
journal = j-FIB-QUART,
volume = "33",
number = "4",
pages = "311--312",
month = aug,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:19 MDT 2011",
bibsource = "http://www.fq.math.ca/33-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-4/robbins.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Glaser:1995:DSP,
author = "Herbert Glaser and Gerd Sch{\"o}ffl",
title = "{Ducci}-Sequences and {Pascal}'s Triangle",
journal = j-FIB-QUART,
volume = "33",
number = "4",
pages = "313--324",
month = aug,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:19 MDT 2011",
bibsource = "http://www.fq.math.ca/33-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-4/glaser.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Filipponi:1995:SPA,
author = "Piero Filipponi and Renato Menicocci",
title = "Some Probabilistic Aspects of the Terminal Digits of
{Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "33",
number = "4",
pages = "325--331",
month = aug,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:19 MDT 2011",
bibsource = "http://www.fq.math.ca/33-4.html;
https://www.math.utah.edu/pub/tex/bib/benfords-law.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-4/filipponi.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Moree:1995:AFR,
author = "Pieter Moree and Hans Roskam",
title = "On an Arithmetical Function Related to {Euler}'s
Totient and the Discriminator",
journal = j-FIB-QUART,
volume = "33",
number = "4",
pages = "332--340",
month = aug,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:19 MDT 2011",
bibsource = "http://www.fq.math.ca/33-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-4/moree.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Andre-Jeannin:1995:NGG,
author = "Richard Andr{\'e}-Jeannin",
title = "A Note on a General Glass of Polynomials, {Part II}",
journal = j-FIB-QUART,
volume = "33",
number = "4",
pages = "341--351",
month = aug,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:19 MDT 2011",
bibsource = "http://www.fq.math.ca/33-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-4/andre-jeannin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brown:1995:SSO,
author = "Tom C. Brown and Peter Jau-shyong Shiue",
title = "Squares of Second-Order Linear Recurrence Sequences",
journal = j-FIB-QUART,
volume = "33",
number = "4",
pages = "352--356",
month = aug,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:19 MDT 2011",
bibsource = "http://www.fq.math.ca/33-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-4/brown.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bracken:1995:DMF,
author = "Paul Bracken",
title = "Dynamics of the Mapping $ f(x) = (x + 1)^{-1} $",
journal = j-FIB-QUART,
volume = "33",
number = "4",
pages = "357--358",
month = aug,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:19 MDT 2011",
bibsource = "http://www.fq.math.ca/33-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-4/bracken.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Zhizheng:1995:RSB,
author = "Zhang Zhizheng and Guo Lizhou",
title = "Recurrence Sequences and {Bernoulli} Polynomials of
Higher Order",
journal = j-FIB-QUART,
volume = "33",
number = "4",
pages = "359--362",
month = aug,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:19 MDT 2011",
bibsource = "http://www.fq.math.ca/33-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-4/zhang.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ando:1995:DCS,
author = "Shiro Ando and Teluhiko Hilano",
title = "A Disjoint Covering of the Set of Natural Numbers
Consisting of Sequences Defined by a Recurrence Whose
Characteristic Equation Has a {Pisot} Number Root",
journal = j-FIB-QUART,
volume = "33",
number = "4",
pages = "363--367",
month = aug,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:19 MDT 2011",
bibsource = "http://www.fq.math.ca/33-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-4/ando.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lewis:1995:ADP,
author = "Richard Lewis",
title = "Antisocial Dinner Parties",
journal = j-FIB-QUART,
volume = "33",
number = "4",
pages = "368--370",
month = aug,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:19 MDT 2011",
bibsource = "http://www.fq.math.ca/33-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-4/lewis.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rabinowitz:1995:EPSc,
author = "Stanley Rabinowitz",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "33",
number = "4",
pages = "371--377",
month = aug,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:19 MDT 2011",
bibsource = "http://www.fq.math.ca/33-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-4/elementary33-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1995:APSc,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "33",
number = "4",
pages = "378--385",
month = aug,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:19 MDT 2011",
bibsource = "http://www.fq.math.ca/33-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-4/advanced33-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gould:1995:EHG,
author = "H. W. Gould",
title = "Extensions of the {Hermite} {G.C.D.} Theorems for
Binomial Coefficients",
journal = j-FIB-QUART,
volume = "33",
number = "5",
pages = "386--390",
month = nov,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:22 MDT 2011",
bibsource = "http://www.fq.math.ca/33-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-5/gould.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1995:SIRc,
author = "Anonymous",
title = "{Seventh International Research Conference}",
journal = j-FIB-QUART,
volume = "33",
number = "5",
pages = "391--??",
month = nov,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:22 MDT 2011",
bibsource = "http://www.fq.math.ca/33-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-5/announcement.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hsu:1995:NCS,
author = "Leetsch Charles Hsu and Peter Jau-shyong Shiue and Yi
Wang",
title = "Notes on a Conjecture of {Singmaster}",
journal = j-FIB-QUART,
volume = "33",
number = "5",
pages = "392--397",
month = nov,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:22 MDT 2011",
bibsource = "http://www.fq.math.ca/33-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-5/hsu.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:1995:RPP,
author = "Alwyn F. Horadam and Piero Filipponi",
title = "Real {Pell} and {Pell--Lucas} Numbers with Real
Subscripts",
journal = j-FIB-QUART,
volume = "33",
number = "5",
pages = "398--406",
month = nov,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:22 MDT 2011",
bibsource = "http://www.fq.math.ca/33-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-5/horadam.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Golic:1995:DLR,
author = "Jovan Dj. Goli{\'c}",
title = "On Decimation of Linear Recurring Sequences",
journal = j-FIB-QUART,
volume = "33",
number = "5",
pages = "407--411",
month = nov,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:22 MDT 2011",
bibsource = "http://www.fq.math.ca/33-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-5/golic.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Konvalina:1995:RUC,
author = "John Konvalina",
title = "Roots of Unity and Circular Subsets without
Consecutive Elements",
journal = j-FIB-QUART,
volume = "33",
number = "5",
pages = "412--414",
month = nov,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:22 MDT 2011",
bibsource = "http://www.fq.math.ca/33-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-5/konvalina.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Balasubramanian:1995:SDD,
author = "K. Balasubramanian and Roman Viveros and N.
Balakrishnan",
title = "Some Discrete Distributions Related to Extended
{Pascal} Triangles",
journal = j-FIB-QUART,
volume = "33",
number = "5",
pages = "415--425",
month = nov,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:22 MDT 2011",
bibsource = "http://www.fq.math.ca/33-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-5/balasubramanian.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Henze:1995:DSL,
author = "Norbert Henze",
title = "The Distribution of Spaces on Lottery Tickets",
journal = j-FIB-QUART,
volume = "33",
number = "5",
pages = "426--431",
month = nov,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:22 MDT 2011",
bibsource = "http://www.fq.math.ca/33-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-5/henze.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Young:1995:SSR,
author = "Anne Ludington Young",
title = "The Switch, Subtract, Reorder Routine",
journal = j-FIB-QUART,
volume = "33",
number = "5",
pages = "432--440",
month = nov,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:22 MDT 2011",
bibsource = "http://www.fq.math.ca/33-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-5/ludington.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luchins:1995:LRD,
author = "Edith H. Luchins and Russell Hendel and Paul Lemke and
David Tuller",
title = "Linear Recurrences in Difference Triangles",
journal = j-FIB-QUART,
volume = "33",
number = "5",
pages = "441--452",
month = nov,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:22 MDT 2011",
bibsource = "http://www.fq.math.ca/33-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-5/luchins.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Andre-Jeannin:1995:DPG,
author = "Richard Andr{\'e}-Jeannin",
title = "Differential Properties of a General Class of
Polynomials",
journal = j-FIB-QUART,
volume = "33",
number = "5",
pages = "453--458",
month = nov,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:22 MDT 2011",
bibsource = "http://www.fq.math.ca/33-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-5/andre-jeannin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brugia:1995:PDF,
author = "Odoardo Brugia and Piero Filipponi",
title = "Polynomial Divisibility in Finite Fields, and
Recurring Sequences",
journal = j-FIB-QUART,
volume = "33",
number = "5",
pages = "459--463",
month = nov,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:22 MDT 2011",
bibsource = "http://www.fq.math.ca/33-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-5/brugia.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Pla:1995:SCA,
author = "Juan Pla",
title = "Some Conditions for ``All or None'' Divisibility of a
Class of {Fibonacci}-Like Sequences",
journal = j-FIB-QUART,
volume = "33",
number = "5",
pages = "464--465",
month = nov,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:22 MDT 2011",
bibsource = "http://www.fq.math.ca/33-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-5/pla.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rabinowitz:1995:EPSd,
author = "Stanley Rabinowitz",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "33",
number = "5",
pages = "466--471",
month = nov,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:22 MDT 2011",
bibsource = "http://www.fq.math.ca/33-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-5/elementary33-5.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1995:APSd,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "33",
number = "5",
pages = "472--477",
month = nov,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:22 MDT 2011",
bibsource = "http://www.fq.math.ca/33-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-5/advanced33-5.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1995:VI,
author = "Anonymous",
title = "Volume Index",
journal = j-FIB-QUART,
volume = "33",
number = "5",
pages = "478--??",
month = nov,
year = "1995",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:22 MDT 2011",
bibsource = "http://www.fq.math.ca/33-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/33-5/index.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Djordjevic:1996:SPG,
author = "Gospava Djordjevi{\'c}",
title = "On Some Properties of Generalized {Hermite}
Polynomials",
journal = j-FIB-QUART,
volume = "34",
number = "1",
pages = "2--6",
month = feb,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:24 MDT 2011",
bibsource = "http://www.fq.math.ca/34-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-1/djordjevic.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:1996:MP,
author = "A. F. Horadam",
title = "Minmax Polynomials",
journal = j-FIB-QUART,
volume = "34",
number = "1",
pages = "7--16",
month = feb,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:24 MDT 2011",
bibsource = "http://www.fq.math.ca/34-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-1/horadam1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1996:SIR,
author = "Anonymous",
title = "{Seventh International Research Conference}",
journal = j-FIB-QUART,
volume = "34",
number = "1",
pages = "17--??",
month = feb,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:24 MDT 2011",
bibsource = "http://www.fq.math.ca/34-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-1/announcement.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Elsner:1996:AIN,
author = "C. Elsner",
title = "On the Approximation of Irrational Numbers with
Rationals Restricted by Congruence Relations",
journal = j-FIB-QUART,
volume = "34",
number = "1",
pages = "18--29",
month = feb,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:24 MDT 2011",
bibsource = "http://www.fq.math.ca/34-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-1/elsner.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Suryanarayan:1996:BP,
author = "E. R. Suryanarayan",
title = "The {Brahmagupta} Polynomials",
journal = j-FIB-QUART,
volume = "34",
number = "1",
pages = "30--39",
month = feb,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:24 MDT 2011",
bibsource = "http://www.fq.math.ca/34-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-1/suryanarayan.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:1996:JRN,
author = "A. F. Horadam",
title = "{Jacobsthal} Representation Numbers",
journal = j-FIB-QUART,
volume = "34",
number = "1",
pages = "40--54",
month = feb,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:24 MDT 2011",
bibsource = "http://www.fq.math.ca/34-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-1/horadam2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Liverance:1996:DBM,
author = "Eric Liverance and John Pitsenberger",
title = "Diagonalization of the Binomial Matrix",
journal = j-FIB-QUART,
volume = "34",
number = "1",
pages = "55--67",
month = feb,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:24 MDT 2011",
bibsource = "http://www.fq.math.ca/34-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-1/liverance.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:1996:ESC,
author = "A. F. Horadam",
title = "Extension of a Synthesis for a Class of Polynomial
Sequences",
journal = j-FIB-QUART,
volume = "34",
number = "1",
pages = "68--74",
month = feb,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:24 MDT 2011",
bibsource = "http://www.fq.math.ca/34-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-1/horadam3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Andre-Jeannin:1996:EEF,
author = "Richard Andr{\'e}-Jeannin",
title = "On the Existence of Even {Fibonacci} Pseudoprimes with
Parameters {$P$} and {$O$}",
journal = j-FIB-QUART,
volume = "34",
number = "1",
pages = "75--78",
month = feb,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:24 MDT 2011",
bibsource = "http://www.fq.math.ca/34-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-1/andre-jeannin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1996:R,
author = "Anonymous",
title = "Referees",
journal = j-FIB-QUART,
volume = "34",
number = "1",
pages = "79--80",
month = feb,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:24 MDT 2011",
bibsource = "http://www.fq.math.ca/34-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-1/referees.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rabinowitz:1996:EPSa,
author = "Stanley Rabinowitz",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "34",
number = "1",
pages = "81--88",
month = feb,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:24 MDT 2011",
bibsource = "http://www.fq.math.ca/34-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-1/elementary34-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1996:APSa,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "34",
number = "1",
pages = "89--97",
month = feb,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:24 MDT 2011",
bibsource = "http://www.fq.math.ca/34-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-1/advanced34-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Oliverio:1996:SGP,
author = "Paul Oliverio",
title = "Self-Generating {Pythagorean} Quadruples and
{$N$}-Tuples",
journal = j-FIB-QUART,
volume = "34",
number = "2",
pages = "98--101",
month = may,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:26 MDT 2011",
bibsource = "http://www.fq.math.ca/34-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-2/oliverio.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Smith:1996:CSN,
author = "Michael Smith",
title = "Cousins of {Smith} Numbers: {Monica} and {Suzanne}
Sets",
journal = j-FIB-QUART,
volume = "34",
number = "2",
pages = "102--104",
month = may,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:26 MDT 2011",
bibsource = "http://www.fq.math.ca/34-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-2/smith.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{McDaniel:1996:TNP,
author = "Wayne L. McDaniel",
title = "Triangular Numbers in the {Pell} Sequence",
journal = j-FIB-QUART,
volume = "34",
number = "2",
pages = "105--107",
month = may,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:26 MDT 2011",
bibsource = "http://www.fq.math.ca/34-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-2/mcdaniel.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Liu:1996:VPG,
author = "Bolian Liu",
title = "{Varol}'s Permutation and Its Generalization",
journal = j-FIB-QUART,
volume = "34",
number = "2",
pages = "108--117",
month = may,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:26 MDT 2011",
bibsource = "http://www.fq.math.ca/34-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-2/liu.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cai:1996:NNN,
author = "Tianxin Cai",
title = "On $2$-{Niven} Numbers and $3$-{Niven} Numbers",
journal = j-FIB-QUART,
volume = "34",
number = "2",
pages = "118--120",
month = may,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:26 MDT 2011",
bibsource = "http://www.fq.math.ca/34-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-2/cai1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bicknell-Johnson:1996:CIG,
author = "Marjorie Bicknell-Johnson and Colin Paul Spears",
title = "Classes of Identities for the Generalized {Fibonacci}
Numbers {$ G_n = G_{n - 1} + G_{n - c} $} from Matrices
with Constant Valued Determinants",
journal = j-FIB-QUART,
volume = "34",
number = "2",
pages = "121--128",
month = may,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:26 MDT 2011",
bibsource = "http://www.fq.math.ca/34-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-2/bicknell.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Trzaska:1996:FHT,
author = "Zdzislaw W. Trzaska",
title = "On {Fibonacci} Hyperbolic Trigonometry and Modified
{Numerical} Triangles",
journal = j-FIB-QUART,
volume = "34",
number = "2",
pages = "129--138",
month = may,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:26 MDT 2011",
bibsource = "http://www.fq.math.ca/34-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-2/trzaska.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Acosta-de-Orozco:1996:LMP,
author = "Maria T. Acosta-de-Orozco and Javier Gomez-Calderon",
title = "Local Minimal Polynomials over Finite Fields",
journal = j-FIB-QUART,
volume = "34",
number = "2",
pages = "139--143",
month = may,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:26 MDT 2011",
bibsource = "http://www.fq.math.ca/34-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-2/acosta.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cai:1996:SNU,
author = "Tianxin Cai",
title = "On $k$-Self-Numbers and Universal Generated Numbers",
journal = j-FIB-QUART,
volume = "34",
number = "2",
pages = "144--146",
month = may,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:26 MDT 2011",
bibsource = "http://www.fq.math.ca/34-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-2/cai2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Grabner:1996:LSD,
author = "P. J. Grabner and R. F. Tichy and I. Nemes and A.
Peth{\"o}",
title = "On the Least Significant Digit of {Zeckendorf}
Expansions",
journal = j-FIB-QUART,
volume = "34",
number = "2",
pages = "147--151",
month = may,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:26 MDT 2011",
bibsource = "http://www.fq.math.ca/34-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-2/grabner.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Guy:1996:NSI,
author = "Richard K. Guy and William O. J. Moser",
title = "Numbers of Sequences without Isolated Odd Members",
journal = j-FIB-QUART,
volume = "34",
number = "2",
pages = "152--155",
month = may,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:26 MDT 2011",
bibsource = "http://www.fq.math.ca/34-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-2/guy.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Terr:1996:FEA,
author = "David C. Terr",
title = "{Fibonacci} Expansions and {``$F$-adic Integers''}",
journal = j-FIB-QUART,
volume = "34",
number = "2",
pages = "156--163",
month = may,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:26 MDT 2011",
bibsource = "http://www.fq.math.ca/34-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-2/terr.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Dujella:1996:GFN,
author = "Andrej Dujella",
title = "Generalized {Fibonacci} Numbers and the Problem of
{Diophantus}",
journal = j-FIB-QUART,
volume = "34",
number = "2",
pages = "164--174",
month = may,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:26 MDT 2011",
bibsource = "http://www.fq.math.ca/34-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-2/dujella.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1996:MPS,
author = "Anonymous",
title = "In Memory of {Professor Steven Vajda}",
journal = j-FIB-QUART,
volume = "34",
number = "2",
pages = "175--??",
month = may,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:26 MDT 2011",
bibsource = "http://www.fq.math.ca/34-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-2/vajda.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Darvasi:1996:RFB,
author = "Gyula Darvasi and Mih{\'a}ly Nagy",
title = "On Repetitions in Frequency Blocks of the Generalized
{Fibonacci} Sequence $ u(3, 1) $ with $ u_0 = u_1 = 1
$",
journal = j-FIB-QUART,
volume = "34",
number = "2",
pages = "176--180",
month = may,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:26 MDT 2011",
bibsource = "http://www.fq.math.ca/34-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-2/darvasi.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rabinowitz:1996:EPSb,
author = "Stanley Rabinowitz",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "34",
number = "2",
pages = "181--186",
month = may,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:26 MDT 2011",
bibsource = "http://www.fq.math.ca/34-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-2/elementary34-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1996:APSb,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "34",
number = "2",
pages = "187--193",
month = may,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:26 MDT 2011",
bibsource = "http://www.fq.math.ca/34-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-2/advanced34-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Powell:1996:URP,
author = "Corey Powell",
title = "On the Uniqueness of Reduced Phi-Partitions",
journal = j-FIB-QUART,
volume = "34",
number = "3",
pages = "194--199",
month = jun,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:28 MDT 2011",
bibsource = "http://www.fq.math.ca/34-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-3/powell.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Burger:1996:SQI,
author = "Edward B. Burger and Christopher S. Kollett",
title = "On the Structure of Quadratic Irrationals Associated
with Generalized {Fibonacci} and {Lucas} Numbers",
journal = j-FIB-QUART,
volume = "34",
number = "3",
pages = "200--212",
month = jun,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:28 MDT 2011",
bibsource = "http://www.fq.math.ca/34-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-3/burger.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Branson:1996:ESN,
author = "David Branson",
title = "An Extension of {Stirling} Numbers",
journal = j-FIB-QUART,
volume = "34",
number = "3",
pages = "213--223",
month = jun,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:28 MDT 2011",
bibsource = "http://www.fq.math.ca/34-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-3/branson.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Prodinger:1996:ABG,
author = "Helmut Prodinger",
title = "The Asymptotic Behavior of the Golden Numbers",
journal = j-FIB-QUART,
volume = "34",
number = "3",
pages = "224--225",
month = jun,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:28 MDT 2011",
bibsource = "http://www.fq.math.ca/34-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-3/prodinger.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lucheta:1996:DPM,
author = "Caroline Lucheta and Eli Miller and Clifford Reiter",
title = "Digraphs from Powers Modulo $p$",
journal = j-FIB-QUART,
volume = "34",
number = "3",
pages = "226--239",
month = jun,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:28 MDT 2011",
bibsource = "http://www.fq.math.ca/34-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-3/lucheta.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wilson:1996:CSC,
author = "Brad Wilson",
title = "Construction of Small Consecutive {Niven} Numbers",
journal = j-FIB-QUART,
volume = "34",
number = "3",
pages = "240--243",
month = jun,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:28 MDT 2011",
bibsource = "http://www.fq.math.ca/34-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-3/wilson.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Howard:1996:SPI,
author = "F. T. Howard",
title = "Sums of Powers of Integers via Generating Functions",
journal = j-FIB-QUART,
volume = "34",
number = "3",
pages = "244--256",
month = jun,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:28 MDT 2011",
bibsource = "http://www.fq.math.ca/34-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-3/howard.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Dubeau:1996:FMI,
author = "F. Dubeau and A. G. Shannon",
title = "A {Fibonacci} Model of Infectious Disease",
journal = j-FIB-QUART,
volume = "34",
number = "3",
pages = "257--270",
month = jun,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:28 MDT 2011",
bibsource = "http://www.fq.math.ca/34-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-3/dubeau.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Filipponi:1996:FNW,
author = "Piero Filipponi",
title = "On the {Fibonacci} Numbers Whose Subscript is a
Power",
journal = j-FIB-QUART,
volume = "34",
number = "3",
pages = "271--276",
month = jun,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:28 MDT 2011",
bibsource = "http://www.fq.math.ca/34-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-3/filipponi.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luo:1996:DEX,
author = "Ming Luo",
title = "On the {Diophantine} Equation $ (x (x - 1) / 2)^2 = (y
(y - 1) / 2)^2 $",
journal = j-FIB-QUART,
volume = "34",
number = "3",
pages = "277--279",
month = jun,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:28 MDT 2011",
bibsource = "http://www.fq.math.ca/34-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-3/luo.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Jones:1996:GHS,
author = "Charles H. Jones",
title = "Generalized Hockey Stick Identities and
{$N$}-Dimensional Blockwalking",
journal = j-FIB-QUART,
volume = "34",
number = "3",
pages = "280--289",
month = jun,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:28 MDT 2011",
bibsource = "http://www.fq.math.ca/34-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-3/jones.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Chun:1996:GLP,
author = "Shen Ze Chun",
title = "{GCD} and {LCM} Power Matrices",
journal = j-FIB-QUART,
volume = "34",
number = "4",
pages = "290--297",
month = aug,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:30 MDT 2011",
bibsource = "http://www.fq.math.ca/34-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-4/chun.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlip:1996:SCL,
author = "Walter Carlip and Eliot Jacobson",
title = "On the Stability of Certain {Lucas} Sequences Modulo $
2^k $",
journal = j-FIB-QUART,
volume = "34",
number = "4",
pages = "298--305",
month = aug,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:30 MDT 2011",
bibsource = "http://www.fq.math.ca/34-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-4/carlip.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Robbins:1996:FP,
author = "Neville Robbins",
title = "{Fibonacci} Partitions",
journal = j-FIB-QUART,
volume = "34",
number = "4",
pages = "306--313",
month = aug,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:30 MDT 2011",
bibsource = "http://www.fq.math.ca/34-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-4/robbins.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Tianming:1996:RSN,
author = "Wang Tianming and Zhang Zhizheng",
title = "Recurrence Sequences and {N{\"o}rlund--Euler}
Polynomials",
journal = j-FIB-QUART,
volume = "34",
number = "4",
pages = "314--319",
month = aug,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:30 MDT 2011",
bibsource = "http://www.fq.math.ca/34-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-4/wang.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Yu:1996:LGG,
author = "Hongquan Yu and Yi Wang and Mingfeng He",
title = "On the Limit of Generalized Golden Numbers",
journal = j-FIB-QUART,
volume = "34",
number = "4",
pages = "320--322",
month = aug,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:30 MDT 2011",
bibsource = "http://www.fq.math.ca/34-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-4/yu.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Peters:1996:TPF,
author = "J. M. H. Peters",
title = "A Ten Point {FFT} Calculation Which Features the
Golden Ratio",
journal = j-FIB-QUART,
volume = "34",
number = "4",
pages = "323--325",
month = aug,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:30 MDT 2011",
bibsource = "http://www.fq.math.ca/34-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-4/peters.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Haukkanen:1996:BSF,
author = "Pentti Haukkanen",
title = "On a Binomial Sum for the {Fibonacci} and {Lucas}
Pseudoprimes",
journal = j-FIB-QUART,
volume = "34",
number = "4",
pages = "326--331",
month = aug,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:30 MDT 2011",
bibsource = "http://www.fq.math.ca/34-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-4/haukkanen.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bruckman:1996:SIS,
author = "Paul S. Bruckman",
title = "Some Interesting Subsequences of the {Fibonacci} and
{Lucas} Pseudoprimes",
journal = j-FIB-QUART,
volume = "34",
number = "4",
pages = "332--341",
month = aug,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:30 MDT 2011",
bibsource = "http://www.fq.math.ca/34-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-4/bruckman.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:1996:PAG,
author = "A. F. Horadam",
title = "Polynomials Associated with Generalized
{Morgan--Voyce} Polynomials",
journal = j-FIB-QUART,
volume = "34",
number = "4",
pages = "342--348",
month = aug,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:30 MDT 2011",
bibsource = "http://www.fq.math.ca/34-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-4/horadam.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Terr:1996:SDF,
author = "David C. Terr",
title = "On the Sums of Digits of {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "34",
number = "4",
pages = "349--355",
month = aug,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:30 MDT 2011",
bibsource = "http://www.fq.math.ca/34-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-4/terr.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Vantieghem:1996:SRE,
author = "E. Vantieghem",
title = "On Sequences Related to Expansions of Real Numbers",
journal = j-FIB-QUART,
volume = "34",
number = "4",
pages = "356--361",
month = aug,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:30 MDT 2011",
bibsource = "http://www.fq.math.ca/34-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-4/vantieghem.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Karachik:1996:LMP,
author = "Valery V. Karachik",
title = "{$P$-Latin} Matrices and {Pascal}'s Triangle Modulo a
Prime",
journal = j-FIB-QUART,
volume = "34",
number = "4",
pages = "362--372",
month = aug,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:30 MDT 2011",
bibsource = "http://www.fq.math.ca/34-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-4/karachik.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rabinowitz:1996:EPSc,
author = "Stanley Rabinowitz",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "34",
number = "4",
pages = "373--378",
month = aug,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:30 MDT 2011",
bibsource = "http://www.fq.math.ca/34-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-4/elementary34-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1996:APSc,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "34",
number = "4",
pages = "379--385",
month = aug,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:30 MDT 2011",
bibsource = "http://www.fq.math.ca/34-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-4/advanced34-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Abderrezzak:1996:MSI,
author = "Abdelhamid Abderrezzak",
title = "Multivariate Symmetric Identities",
journal = j-FIB-QUART,
volume = "34",
number = "5",
pages = "386--393",
month = nov,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:32 MDT 2011",
bibsource = "http://www.fq.math.ca/34-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-5/abderrezzak.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Zhou:1996:ODS,
author = "Chizhong Zhou",
title = "On the {$K$ th}-Order Derivative Sequences of
{Fibonacci} and {Lucas} Polynomials",
journal = j-FIB-QUART,
volume = "34",
number = "5",
pages = "394--408",
month = nov,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:32 MDT 2011",
bibsource = "http://www.fq.math.ca/34-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-5/zhou.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Pla:1996:ECS,
author = "Juan Pla",
title = "On the Existence of Couples of Second-Order Linear
Recurrences with Reciprocal Representation Properties
for Their {Fibonacci} Sequences",
journal = j-FIB-QUART,
volume = "34",
number = "5",
pages = "409--412",
month = nov,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:32 MDT 2011",
bibsource = "http://www.fq.math.ca/34-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-5/pla1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Butler:1996:ANN,
author = "Jon T. Butler and Tsutomu Sasao",
title = "Average Number of Nodes in Binary Decision Diagrams of
{Fibonacci} Functions",
journal = j-FIB-QUART,
volume = "34",
number = "5",
pages = "413--422",
month = nov,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:32 MDT 2011",
bibsource = "http://www.fq.math.ca/34-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-5/butler.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lin:1996:TBM,
author = "Chyi-Lung Lin",
title = "On Triangular and {Baker}'s Maps with Golden Mean as
the Parameter Value",
journal = j-FIB-QUART,
volume = "34",
number = "5",
pages = "423--435",
month = nov,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:32 MDT 2011",
bibsource = "http://www.fq.math.ca/34-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-5/lin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rokach:1996:OCC,
author = "Arie Rokach",
title = "Optimal Computation, by Computer, of {Fibonacci}
Numbers",
journal = j-FIB-QUART,
volume = "34",
number = "5",
pages = "436--439",
month = nov,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:32 MDT 2011",
bibsource = "http://www.fq.math.ca/34-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-5/rokach.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Pla:1996:PPG,
author = "Juan Pla",
title = "On the Possibility of Programming the General
$2$-by-$2$ Matrix on the Complex Field",
journal = j-FIB-QUART,
volume = "34",
number = "5",
pages = "440--443",
month = nov,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:32 MDT 2011",
bibsource = "http://www.fq.math.ca/34-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-5/pla2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Freitag:1996:ZF,
author = "H. T. Freitag and G. M. Phillips",
title = "On the {Zeckendorf} Form of {$ F_{kn} / F_n $}",
journal = j-FIB-QUART,
volume = "34",
number = "5",
pages = "444--446",
month = nov,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:32 MDT 2011",
bibsource = "http://www.fq.math.ca/34-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-5/freitag.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rabinowitz:1996:AMT,
author = "Stanley Rabinowitz",
title = "Algorithmic Manipulation of Third-Order Linear
Recurrences",
journal = j-FIB-QUART,
volume = "34",
number = "5",
pages = "447--464",
month = nov,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:32 MDT 2011",
bibsource = "http://www.fq.math.ca/34-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-5/rabinowitz.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Holzer:1996:SGF,
author = "Markus Holzer and Peter Rossmanith",
title = "A Simpler Grammar for {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "34",
number = "5",
pages = "465--466",
month = nov,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:32 MDT 2011",
bibsource = "http://www.fq.math.ca/34-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-5/holzer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1996:DHT,
author = "Anonymous",
title = "Dedication to {Herta Taussig Freitag}",
journal = j-FIB-QUART,
volume = "34",
number = "5",
pages = "467--??",
month = nov,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:32 MDT 2011",
bibsource = "http://www.fq.math.ca/34-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-5/dedication.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rabinowitz:1996:EPSd,
author = "Stanley Rabinowitz",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "34",
number = "5",
pages = "468--472",
month = nov,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:32 MDT 2011",
bibsource = "http://www.fq.math.ca/34-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-5/elementary34-5.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1996:APSd,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "34",
number = "5",
pages = "473--478",
month = nov,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:32 MDT 2011",
bibsource = "http://www.fq.math.ca/34-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-5/advanced34-5.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1996:VI,
author = "Anonymous",
title = "Volume Index",
journal = j-FIB-QUART,
volume = "34",
number = "5",
pages = "479--??",
month = nov,
year = "1996",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:32 MDT 2011",
bibsource = "http://www.fq.math.ca/34-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/34-5/index.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1997:R,
author = "Anonymous",
title = "Referees",
journal = j-FIB-QUART,
volume = "35",
number = "1",
pages = "2--??",
month = feb,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:34 MDT 2011",
bibsource = "http://www.fq.math.ca/35-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-1/referees.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ando:1997:CNE,
author = "Shiro Ando and Masahumi Hayashi",
title = "Counting the Number of Equivalence lasses of {$ (m, F)
$} Sequences and Their Generalizations",
journal = j-FIB-QUART,
volume = "35",
number = "1",
pages = "3--8",
month = feb,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:34 MDT 2011",
bibsource = "http://www.fq.math.ca/35-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-1/ando.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Zarzycki:1997:MS,
author = "Piotr Zarzycki",
title = "On Multiplicity Sequences",
journal = j-FIB-QUART,
volume = "35",
number = "1",
pages = "9--??",
month = feb,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:34 MDT 2011",
bibsource = "http://www.fq.math.ca/35-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "See corrigendum \cite{Zarzycki:1998:CMS}.",
URL = "http://www.fq.math.ca/Scanned/35-1/zarzycki.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1997:RSM,
author = "Anonymous",
title = "Retirement of Subscription Manager",
journal = j-FIB-QUART,
volume = "35",
number = "1",
pages = "10--??",
month = feb,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:34 MDT 2011",
bibsource = "http://www.fq.math.ca/35-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-1/retirement.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Filipponi:1997:MDP,
author = "Piero Filipponi",
title = "Modified {Dickson} Polynomials",
journal = j-FIB-QUART,
volume = "35",
number = "1",
pages = "11--18",
month = feb,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:34 MDT 2011",
bibsource = "http://www.fq.math.ca/35-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-1/filipponi1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Yu:1997:IIP,
author = "Hongquan Yu and Chuanguang Liang",
title = "Identities Involving Partial Derivatives of Bivariate
{Fibonacci} and {Lucas} Polynomials",
journal = j-FIB-QUART,
volume = "35",
number = "1",
pages = "19--23",
month = feb,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:34 MDT 2011",
bibsource = "http://www.fq.math.ca/35-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-1/yu.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Spilker:1997:IVH,
author = "J{\"u}rgen Spilker",
title = "Initial Values for Homogeneous Linear Recurrences of
Second Order",
journal = j-FIB-QUART,
volume = "35",
number = "1",
pages = "24--27",
month = feb,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:34 MDT 2011",
bibsource = "http://www.fq.math.ca/35-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-1/spilker.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1997:AEI,
author = "Anonymous",
title = "Announcement of the {Eighth International Conference
on Fibonacci Numbers and Their Applications}",
journal = j-FIB-QUART,
volume = "35",
number = "1",
pages = "28--??",
month = feb,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:34 MDT 2011",
bibsource = "http://www.fq.math.ca/35-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-1/announcement.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Tong:1997:CFD,
author = "Jingcheng Tong",
title = "The Constant for Finite {Diophantine} Approximation",
journal = j-FIB-QUART,
volume = "35",
number = "1",
pages = "29--31",
month = feb,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:34 MDT 2011",
bibsource = "http://www.fq.math.ca/35-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-1/tong.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Haukkanen:1997:RRT,
author = "Pentti Haukkanen",
title = "On a Recurrence Relation in Two Variables",
journal = j-FIB-QUART,
volume = "35",
number = "1",
pages = "32--34",
month = feb,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:34 MDT 2011",
bibsource = "http://www.fq.math.ca/35-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-1/haukkanen.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Dresel:1997:PRG,
author = "L. A. G. Dresel",
title = "On Pseudoprimes Related to Generalized {Lucas}
Sequences",
journal = j-FIB-QUART,
volume = "35",
number = "1",
pages = "35--42",
month = feb,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:34 MDT 2011",
bibsource = "http://www.fq.math.ca/35-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-1/dresel.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hilton:1997:LN,
author = "Peter Hilton and Jean Pedersen and Lawrence Somer",
title = "On {Lucasian} Numbers",
journal = j-FIB-QUART,
volume = "35",
number = "1",
pages = "43--47",
month = feb,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:34 MDT 2011",
bibsource = "http://www.fq.math.ca/35-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-1/hilton.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Christopher:1997:BGT,
author = "Peter R. Christopher and John W. Kennedy",
title = "Binomial Graphs and Their Spectra",
journal = j-FIB-QUART,
volume = "35",
number = "1",
pages = "48--53",
month = feb,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:34 MDT 2011",
bibsource = "http://www.fq.math.ca/35-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-1/christopher.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Pla:1997:PMP,
author = "Juan Pla",
title = "On Periods Modulo a Prime of Some Classes of Sequences
of Integers",
journal = j-FIB-QUART,
volume = "35",
number = "1",
pages = "54--56",
month = feb,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:34 MDT 2011",
bibsource = "http://www.fq.math.ca/35-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-1/pla.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Filipponi:1997:OSF,
author = "Piero Filipponi",
title = "An Observation of Summation Formulas for Generalized
Sequences",
journal = j-FIB-QUART,
volume = "35",
number = "1",
pages = "57--61",
month = feb,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:34 MDT 2011",
bibsource = "http://www.fq.math.ca/35-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-1/filipponi2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hsu:1997:KGA,
author = "Leetsch C. Hsu",
title = "On a Kind Of Generalized Arithmetic-Geometric
Progression",
journal = j-FIB-QUART,
volume = "35",
number = "1",
pages = "62--67",
month = feb,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:34 MDT 2011",
bibsource = "http://www.fq.math.ca/35-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-1/hsu.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Andre-Jeannin:1997:SRC,
author = "Richard Andr{\'e}-Jeannin",
title = "Summation of Reciprocals in Certain Second-Order
Recurring Sequences",
journal = j-FIB-QUART,
volume = "35",
number = "1",
pages = "68--74",
month = feb,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:34 MDT 2011",
bibsource = "http://www.fq.math.ca/35-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-1/andre-jeannin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bodroza-Pantic:1997:FNA,
author = "Olga Bodroza-Pantic and Ivan Gutman and Sven J.
Cyvin",
title = "{Fibonacci} Numbers and Algebraic Structure Count of
Some Non-Benzenoid Conjugated Polymers",
journal = j-FIB-QUART,
volume = "35",
number = "1",
pages = "75--83",
month = feb,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:34 MDT 2011",
bibsource = "http://www.fq.math.ca/35-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-1/bodroza-pantic.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Freitag:1997:NSI,
author = "Herta T. Freitag",
title = "A Note on the {Seventh International Conference}",
journal = j-FIB-QUART,
volume = "35",
number = "1",
pages = "84--??",
month = feb,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:34 MDT 2011",
bibsource = "http://www.fq.math.ca/35-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-1/freitag.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rabinowitz:1997:EPSa,
author = "Stanley Rabinowitz",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "35",
number = "1",
pages = "85--90",
month = feb,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:34 MDT 2011",
bibsource = "http://www.fq.math.ca/35-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-1/elementary35-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1997:APSa,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "35",
number = "1",
pages = "91--97",
month = feb,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:34 MDT 2011",
bibsource = "http://www.fq.math.ca/35-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-1/advanced35-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Zelator:1997:CNC,
author = "Konstantine Dabmian Zelator",
title = "On a Class of Non-Congruent and Non-{Pythagorean}
Numbers",
journal = j-FIB-QUART,
volume = "35",
number = "2",
pages = "98--101",
month = may,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:36 MDT 2011",
bibsource = "http://www.fq.math.ca/35-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-2/zelator.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Dubeau:1997:WGF,
author = "F. Dubeau and W. Motta and M. Rachidi and O. Saeki",
title = "On Weighted $r$-Generalized {Fibonacci} Sequences",
journal = j-FIB-QUART,
volume = "35",
number = "2",
pages = "102--110",
month = may,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:36 MDT 2011",
bibsource = "http://www.fq.math.ca/35-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-2/dubeau.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lee:1997:SBL,
author = "Jack Y. Lee",
title = "On Some Basic Linear Properties of the Second-Order
Inhomogeneous Line-Sequence",
journal = j-FIB-QUART,
volume = "35",
number = "2",
pages = "111--121",
month = may,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:36 MDT 2011",
bibsource = "http://www.fq.math.ca/35-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-2/lee.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wilson:1997:CCN,
author = "Brad Wilson",
title = "Construction of $ 2 * n $ Consecutive $n$-{Niven}
Numbers",
journal = j-FIB-QUART,
volume = "35",
number = "2",
pages = "122--128",
month = may,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:36 MDT 2011",
bibsource = "http://www.fq.math.ca/35-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-2/wilson.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Zhou:1997:GAN,
author = "Chizhong Zhou",
title = "A Generalization of the ``All or None'' Divisibility
Property",
journal = j-FIB-QUART,
volume = "35",
number = "2",
pages = "129--134",
month = may,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:36 MDT 2011",
bibsource = "http://www.fq.math.ca/35-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-2/zhou.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Prodinger:1997:QCK,
author = "Helmut Prodinger",
title = "On a Question of {Cooper} and {Kennedy}",
journal = j-FIB-QUART,
volume = "35",
number = "2",
pages = "135--??",
month = may,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:36 MDT 2011",
bibsource = "http://www.fq.math.ca/35-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-2/prodinger.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1997:EICa,
author = "Anonymous",
title = "{Eighth International Conference} Announcement",
journal = j-FIB-QUART,
volume = "35",
number = "2",
pages = "136--??",
month = may,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:36 MDT 2011",
bibsource = "http://www.fq.math.ca/35-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-2/announcement.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:1997:JRP,
author = "A. F. Horadam",
title = "{Jacobsthal} Representation Polyomials",
journal = j-FIB-QUART,
volume = "35",
number = "2",
pages = "137--148",
month = may,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:36 MDT 2011",
bibsource = "http://www.fq.math.ca/35-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-2/horadam.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ferri:1997:AFL,
author = "Giuseppe Ferri",
title = "The Appearance of {Fibonacci} and {Lucas} Numbers in
the Simulation of Electrical Power Lines Supplied by
Two Sides",
journal = j-FIB-QUART,
volume = "35",
number = "2",
pages = "149--155",
month = may,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:36 MDT 2011",
bibsource = "http://www.fq.math.ca/35-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-2/ferri.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Haukkanen:1997:NBF,
author = "Pentti Haukkanen",
title = "A Note on the Bracket Function Transform",
journal = j-FIB-QUART,
volume = "35",
number = "2",
pages = "156--159",
month = may,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:36 MDT 2011",
bibsource = "http://www.fq.math.ca/35-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-2/haukkanen.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{He:1997:DZF,
author = "M. X. He and D. Simon and P. E. Ricci",
title = "Dynamics of the Zeros of {Fibonacci} Polynomials",
journal = j-FIB-QUART,
volume = "35",
number = "2",
pages = "160--168",
month = may,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:36 MDT 2011",
bibsource = "http://www.fq.math.ca/35-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-2/he.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Zhang:1997:SPG,
author = "Zhizheng Zhang",
title = "Some Properties of the Generalized {Fibonacci}
Sequences {$ C_n = C_{n - 1} + C_{n - 2} + r $}",
journal = j-FIB-QUART,
volume = "35",
number = "2",
pages = "169--171",
month = may,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:36 MDT 2011",
bibsource = "http://www.fq.math.ca/35-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-2/zhang.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Butler:1997:PDR,
author = "Jon T. Butler and Tsutomu Sasao",
title = "On the Proportion of Digits in Redundant Numeration
Systems",
journal = j-FIB-QUART,
volume = "35",
number = "2",
pages = "172--180",
month = may,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:36 MDT 2011",
bibsource = "http://www.fq.math.ca/35-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-2/butler.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rabinowitz:1997:EPSb,
author = "Stanley Rabinowitz",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "35",
number = "2",
pages = "181--186",
month = may,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:36 MDT 2011",
bibsource = "http://www.fq.math.ca/35-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-2/elementary35-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1997:APSb,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "35",
number = "2",
pages = "187--193",
month = may,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:36 MDT 2011",
bibsource = "http://www.fq.math.ca/35-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-2/advanced35-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Metz:1997:GSG,
author = "James Metz",
title = "The Golden Staircase and the Golden Line",
journal = j-FIB-QUART,
volume = "35",
number = "3",
pages = "194--197",
month = aug,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:38 MDT 2011",
bibsource = "http://www.fq.math.ca/35-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-3/metz.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Padmakumar:1997:SMS,
author = "T. V. Padmakumar",
title = "Strongly Magic Squares",
journal = j-FIB-QUART,
volume = "35",
number = "3",
pages = "198--205",
month = aug,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:38 MDT 2011",
bibsource = "http://www.fq.math.ca/35-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-3/padmakumar.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Grossman:1997:FCO,
author = "George W. Grossman",
title = "Fractal Construction by Orthogonal Projection Using
the {Fibonacci} Sequences",
journal = j-FIB-QUART,
volume = "35",
number = "3",
pages = "206--224",
month = aug,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:38 MDT 2011",
bibsource = "http://www.fq.math.ca/35-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-3/grossman.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Zhang:1997:SIIa,
author = "Wenpeng Zhang",
title = "Some Identities Involving the {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "35",
number = "3",
pages = "225--228",
month = aug,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:38 MDT 2011",
bibsource = "http://www.fq.math.ca/35-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-3/zhang-wenpeng.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hindin:1997:LE,
author = "Harvey J. Hindin",
title = "Letter to the Editor",
journal = j-FIB-QUART,
volume = "35",
number = "3",
pages = "229--??",
month = aug,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:38 MDT 2011",
bibsource = "http://www.fq.math.ca/35-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-3/letter.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Swamy:1997:CII,
author = "M. N. S. Swamy",
title = "On Certain Identities Involving {Fibonacci} and
{Lucas} Numbers",
journal = j-FIB-QUART,
volume = "35",
number = "3",
pages = "230--231",
month = aug,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:38 MDT 2011",
bibsource = "http://www.fq.math.ca/35-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-3/swamy.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1997:EAC,
author = "Anonymous",
title = "{Eighth Annual Conference} Announcement",
journal = j-FIB-QUART,
volume = "35",
number = "3",
pages = "232--??",
month = aug,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:38 MDT 2011",
bibsource = "http://www.fq.math.ca/35-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-3/announcement.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:1997:CMV,
author = "A. F. Horadam",
title = "A Composite of {Morgan--Voyce} Generalizations",
journal = j-FIB-QUART,
volume = "35",
number = "3",
pages = "233--239",
month = aug,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:38 MDT 2011",
bibsource = "http://www.fq.math.ca/35-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-3/horadam.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Burstein:1997:CSL,
author = "Alexander Burstein and Herbert S. Wilf",
title = "On Cyclic Strings without Long Constant Blocks",
journal = j-FIB-QUART,
volume = "35",
number = "3",
pages = "240--247",
month = aug,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:38 MDT 2011",
bibsource = "http://www.fq.math.ca/35-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-3/burstein.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Melham:1997:CWC,
author = "Ray Melham",
title = "Conics Which Characterize Certain {Lucas} Sequences",
journal = j-FIB-QUART,
volume = "35",
number = "3",
pages = "248--251",
month = aug,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:38 MDT 2011",
bibsource = "http://www.fq.math.ca/35-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-3/melham.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Filipponi:1997:SFS,
author = "Piero Filipponi",
title = "Summation Formulas for Special {Lehmer} Numbers",
journal = j-FIB-QUART,
volume = "35",
number = "3",
pages = "252--257",
month = aug,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:38 MDT 2011",
bibsource = "http://www.fq.math.ca/35-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-3/filipponi.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Jaroszewski:1997:DMM,
author = "I. Jaroszewski and A. K. Kwa{\c{s}}niewski",
title = "Dynamics of the {M{\"o}bius} Mapping and
{Fibonacci}-Like Sequences",
journal = j-FIB-QUART,
volume = "35",
number = "3",
pages = "258--264",
month = aug,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:38 MDT 2011",
bibsource = "http://www.fq.math.ca/35-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-3/jaroszewski.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Zhang:1997:SIIb,
author = "Zhizheng Zhang",
title = "Some Identities Involving Generalized Second-Order
Integer Sequences",
journal = j-FIB-QUART,
volume = "35",
number = "3",
pages = "265--267",
month = aug,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:38 MDT 2011",
bibsource = "http://www.fq.math.ca/35-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-3/zhang-zhizheng.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1997:NE,
author = "Anonymous",
title = "New Editor",
journal = j-FIB-QUART,
volume = "35",
number = "3",
pages = "268--??",
month = aug,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:38 MDT 2011",
bibsource = "http://www.fq.math.ca/35-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-3/editor.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Schoffl:1997:DPT,
author = "Gerd Sch{\"o}ffl",
title = "{Ducci}-Processes of $4$-Tuples",
journal = j-FIB-QUART,
volume = "35",
number = "3",
pages = "269--276",
month = aug,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:38 MDT 2011",
bibsource = "http://www.fq.math.ca/35-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-3/schoffl.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rabinowitz:1997:EPSc,
author = "Stanley Rabinowitz",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "35",
number = "3",
pages = "277--282",
month = aug,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:38 MDT 2011",
bibsource = "http://www.fq.math.ca/35-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-3/elementary35-3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1997:APSc,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "35",
number = "3",
pages = "283--289",
month = aug,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:38 MDT 2011",
bibsource = "http://www.fq.math.ca/35-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-3/advanced35-3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Callan:1997:WDD,
author = "David Callan",
title = "When Does $ m - n $ Divide $ f(m) - f(n) $ ? {A} Look
at Column-Finite Matrices",
journal = j-FIB-QUART,
volume = "35",
number = "4",
pages = "290--299",
month = nov,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:40 MDT 2011",
bibsource = "http://www.fq.math.ca/35-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-4/callan.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Filipponi:1997:FFM,
author = "Piero Filipponi",
title = "A Family of $4$-by-$4$ {Fibonacci} Matrices",
journal = j-FIB-QUART,
volume = "35",
number = "4",
pages = "300--307",
month = nov,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:40 MDT 2011",
bibsource = "http://www.fq.math.ca/35-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-4/filipponi.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1997:NES,
author = "Anonymous",
title = "New Editor and Submission of Articles",
journal = j-FIB-QUART,
volume = "35",
number = "4",
pages = "308--??",
month = nov,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:40 MDT 2011",
bibsource = "http://www.fq.math.ca/35-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-4/editor.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Abrahams:1997:CSG,
author = "Julia Abrahams",
title = "Couples Sequences of Generalized {Fibonacci} Trees and
Unequal Costs Coding Problems",
journal = j-FIB-QUART,
volume = "35",
number = "4",
pages = "309--316",
month = nov,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:40 MDT 2011",
bibsource = "http://www.fq.math.ca/35-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-4/abrahams.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1997:EICb,
author = "Anonymous",
title = "{Eighth International Conference} Announcement",
journal = j-FIB-QUART,
volume = "35",
number = "4",
pages = "317--??",
month = nov,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:40 MDT 2011",
bibsource = "http://www.fq.math.ca/35-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-4/announcement.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Klostermeyer:1997:PR,
author = "W. F. Klostermeyer and M. E. Mays and L. Soltes and G.
Trapp",
title = "A {Pascal} Rhombus",
journal = j-FIB-QUART,
volume = "35",
number = "4",
pages = "318--328",
month = nov,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:40 MDT 2011",
bibsource = "http://www.fq.math.ca/35-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-4/klostermeyer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Swamy:1997:CGP,
author = "M. N. S. Swamy",
title = "On a Class of Generalized Polynomials",
journal = j-FIB-QUART,
volume = "35",
number = "4",
pages = "329--334",
month = nov,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:40 MDT 2011",
bibsource = "http://www.fq.math.ca/35-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-4/swamy.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Sirvent:1997:SAB,
author = "Victor F. Sirvent",
title = "A Semigroup Associated with the $k$-{Bonacci} Numbers
with Dynamic Interpretation",
journal = j-FIB-QUART,
volume = "35",
number = "4",
pages = "335--340",
month = nov,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:40 MDT 2011",
bibsource = "http://www.fq.math.ca/35-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-4/sirvent.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Woodson:1997:PLV,
author = "Leon C. Woodson",
title = "{Professor Lucas} Visits the {Putnam Examination}",
journal = j-FIB-QUART,
volume = "35",
number = "4",
pages = "341--??",
month = nov,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:40 MDT 2011",
bibsource = "http://www.fq.math.ca/35-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-4/woodson.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Pla:1997:SIB,
author = "Juan Pla",
title = "The Sum of Inverses of Binomial Coefficients
Revisited",
journal = j-FIB-QUART,
volume = "35",
number = "4",
pages = "342--345",
month = nov,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:40 MDT 2011",
bibsource = "http://www.fq.math.ca/35-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-4/pla.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brown:1997:DGD,
author = "Ezra Brown",
title = "Directed Graphs Defined by Arithmetic $ \pmod {n} $",
journal = j-FIB-QUART,
volume = "35",
number = "4",
pages = "346--351",
month = nov,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:40 MDT 2011",
bibsource = "http://www.fq.math.ca/35-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-4/brown.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:1997:DSJ,
author = "A. F. Horadam and P. Filipponi",
title = "Derivative Sequences of {Jacobsthal} and
{Jacobsthal--Lucas} Polynomials",
journal = j-FIB-QUART,
volume = "35",
number = "4",
pages = "352--357",
month = nov,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:40 MDT 2011",
bibsource = "http://www.fq.math.ca/35-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-4/horadam1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Spickerman:1997:GFS,
author = "W. R. Spickerman and R. L. Creech",
title = "The {$ (2, T) $} Generalized {Fibonacci} Sequences",
journal = j-FIB-QUART,
volume = "35",
number = "4",
pages = "358--360",
month = nov,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:40 MDT 2011",
bibsource = "http://www.fq.math.ca/35-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-4/spickerman.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:1997:RFJ,
author = "A. F. Horadam",
title = "{Rodriques}' Formulas for {Jacobsthal}-Type
Polynomials",
journal = j-FIB-QUART,
volume = "35",
number = "4",
pages = "361--370",
month = nov,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:40 MDT 2011",
bibsource = "http://www.fq.math.ca/35-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-4/horadam2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rabinowitz:1997:EPSd,
author = "Stanley Rabinowitz",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "35",
number = "4",
pages = "371--376",
month = nov,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:40 MDT 2011",
bibsource = "http://www.fq.math.ca/35-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-4/elementary35-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1997:APSd,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "35",
number = "4",
pages = "377--382",
month = nov,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:40 MDT 2011",
bibsource = "http://www.fq.math.ca/35-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-4/advanced35-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1997:VI,
author = "Anonymous",
title = "Volume Index",
journal = j-FIB-QUART,
volume = "35",
number = "4",
pages = "383--??",
month = nov,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:40 MDT 2011",
bibsource = "http://www.fq.math.ca/35-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-4/index.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1998:R,
author = "Anonymous",
title = "Referees",
journal = j-FIB-QUART,
volume = "36",
number = "1",
pages = "2--??",
month = feb,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:43 MDT 2011",
bibsource = "http://www.fq.math.ca/36-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-1/referees.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Drmota:1998:PSD,
author = "Michael Drmota and Johannes Gajdosik",
title = "The Parity of the Sum-of-Digits-Function of
Generalized {Zeckendorf} Representations",
journal = j-FIB-QUART,
volume = "36",
number = "1",
pages = "3--19",
month = feb,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:43 MDT 2011",
bibsource = "http://www.fq.math.ca/36-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-1/drmota.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ericksen:1998:PMT,
author = "Larry Ericksen",
title = "The {Pascal--De Moivre} Triangles",
journal = j-FIB-QUART,
volume = "36",
number = "1",
pages = "20--33",
month = feb,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:43 MDT 2011",
bibsource = "http://www.fq.math.ca/36-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-1/ericksen.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Suryanarayan:1998:BPT,
author = "E. R. Suryanarayan",
title = "The {Brahmagupta} Polynomials in Two Complex
Variables",
journal = j-FIB-QUART,
volume = "36",
number = "1",
pages = "34--42",
month = feb,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:43 MDT 2011",
bibsource = "http://www.fq.math.ca/36-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-1/suryanarayan.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Voss:1998:DT,
author = "James E. Voss",
title = "Divisibility Tests in {$N$}",
journal = j-FIB-QUART,
volume = "36",
number = "1",
pages = "43--44",
month = feb,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:43 MDT 2011",
bibsource = "http://www.fq.math.ca/36-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-1/voss.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Reuben:1998:ECP,
author = "A. J. Reuben and A. G. Shannon",
title = "Ellipses, Cardioides, and {Penrose} Tiles",
journal = j-FIB-QUART,
volume = "36",
number = "1",
pages = "45--54",
month = feb,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:43 MDT 2011",
bibsource = "http://www.fq.math.ca/36-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-1/reuben.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1998:EIC,
author = "Anonymous",
title = "{Eighth International Conference} Announcement",
journal = j-FIB-QUART,
volume = "36",
number = "1",
pages = "55--??",
month = feb,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:43 MDT 2011",
bibsource = "http://www.fq.math.ca/36-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-1/announcement.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{McDaniel:1998:PFN,
author = "Wayne L. McDaniel",
title = "Pronic {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "36",
number = "1",
pages = "56--59",
month = feb,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:43 MDT 2011",
bibsource = "http://www.fq.math.ca/36-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-1/mcdaniel1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
remark = "From the first sentence: ``Pronic'' is an
old-fashioned term meaning ``the product of two
consecutive integers''.",
}
@Article{McDaniel:1998:PLN,
author = "Wayne L. McDaniel",
title = "Pronic {Lucas} Numbers",
journal = j-FIB-QUART,
volume = "36",
number = "1",
pages = "60--62",
month = feb,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:43 MDT 2011",
bibsource = "http://www.fq.math.ca/36-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-1/mcdaniel2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Filipponi:1998:CEL,
author = "Piero Filipponi",
title = "Combinatorial Expressions for {Lucas} Numbers",
journal = j-FIB-QUART,
volume = "36",
number = "1",
pages = "63--64",
month = feb,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:43 MDT 2011",
bibsource = "http://www.fq.math.ca/36-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-1/filipponi1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlin:1998:LVM,
author = "Albert V. Carlin",
title = "A {Layman}'s View of Music of the Spheres",
journal = j-FIB-QUART,
volume = "36",
number = "1",
pages = "65--??",
month = feb,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:43 MDT 2011",
bibsource = "http://www.fq.math.ca/36-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-1/carlin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Filipponi:1998:NTT,
author = "Piero Filipponi",
title = "A Note on Two Theorems of {Melham} and {Shannon}",
journal = j-FIB-QUART,
volume = "36",
number = "1",
pages = "66--67",
month = feb,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:43 MDT 2011",
bibsource = "http://www.fq.math.ca/36-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-1/filipponi2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Zhang:1998:CSA,
author = "Zhizheng Zhang",
title = "A Class of Sequences and the {Aitken} Transformation",
journal = j-FIB-QUART,
volume = "36",
number = "1",
pages = "68--71",
month = feb,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:43 MDT 2011",
bibsource = "http://www.fq.math.ca/36-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-1/zhang.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Riede:1998:AES,
author = "Harald Riede",
title = "Asymptotic Estimation of a Sum of Digits",
journal = j-FIB-QUART,
volume = "36",
number = "1",
pages = "72--75",
month = feb,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:43 MDT 2011",
bibsource = "http://www.fq.math.ca/36-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-1/riede.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Imada:1998:SMC,
author = "Naotaka Imada",
title = "A Sparse Matrix and the {Catalan} Numbers",
journal = j-FIB-QUART,
volume = "36",
number = "1",
pages = "76--84",
month = feb,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:43 MDT 2011",
bibsource = "http://www.fq.math.ca/36-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-1/imada.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rabinowitz:1998:EPSa,
author = "Stanley Rabinowitz",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "36",
number = "1",
pages = "85--90",
month = feb,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:43 MDT 2011",
bibsource = "http://www.fq.math.ca/36-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-1/elementary36-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1998:APSa,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "36",
number = "1",
pages = "91--97",
month = feb,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:43 MDT 2011",
bibsource = "http://www.fq.math.ca/36-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-1/advanced36-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ollerton:1998:SPG,
author = "Richard L. Ollerton and Anthony G. Shannon",
title = "Some Properties of Generalized {Pascal} Squares and
Triangles",
journal = j-FIB-QUART,
volume = "36",
number = "2",
pages = "98--109",
month = may,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:45 MDT 2011",
bibsource = "http://www.fq.math.ca/36-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "See erratum \cite{Ollerton:2021:ESP}.",
URL = "http://www.fq.math.ca/Scanned/36-2/ollerton.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Djordjevic:1998:GCP,
author = "Gospava B. Djordjevi{\'c}",
title = "On a Generalization of a Class of Polynomials",
journal = j-FIB-QUART,
volume = "36",
number = "2",
pages = "110--117",
month = may,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:45 MDT 2011",
bibsource = "http://www.fq.math.ca/36-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-2/djordjevic.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lin:1998:ODF,
author = "Chyi-Lung Lin",
title = "Obtaining Dividing Formulas {$ n|Q(n) $} from Iterated
Maps",
journal = j-FIB-QUART,
volume = "36",
number = "2",
pages = "118--124",
month = may,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:45 MDT 2011",
bibsource = "http://www.fq.math.ca/36-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-2/lin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Swamy:1998:BTR,
author = "M. N. S. Swamy",
title = "{Brahmagupta}'s Theorems and Recurrence Relations",
journal = j-FIB-QUART,
volume = "36",
number = "2",
pages = "125--128",
month = may,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:45 MDT 2011",
bibsource = "http://www.fq.math.ca/36-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-2/swamy.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wolfram:1998:SGF,
author = "D. A. Wolfram",
title = "Solving Generalized {Fibonacci} Recurrences",
journal = j-FIB-QUART,
volume = "36",
number = "2",
pages = "129--145",
month = may,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:45 MDT 2011",
bibsource = "http://www.fq.math.ca/36-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-2/wolfram.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Paradis:1998:AQI,
author = "Jaume Parad{\'\i}s and Pelegr{\'\i} Viader and
Llu{\'\i}s Bibiloni",
title = "Approximation of Quadratic Irrationals and Their
{Pierce} Expansions",
journal = j-FIB-QUART,
volume = "36",
number = "2",
pages = "146--153",
month = may,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:45 MDT 2011",
bibsource = "http://www.fq.math.ca/36-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-2/paradis.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Zhang:1998:SIIa,
author = "Wenpeng Zhang",
title = "Some Identities Involving the {Euler} and the Central
Factorial Numbers",
journal = j-FIB-QUART,
volume = "36",
number = "2",
pages = "154--157",
month = may,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:45 MDT 2011",
bibsource = "http://www.fq.math.ca/36-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-2/zhang.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Spearman:1998:F,
author = "Blair K. Spearman and Kenneth S. Williams",
title = "The Factorization of $ x^5 \pm x^3 + n $",
journal = j-FIB-QUART,
volume = "36",
number = "2",
pages = "158--170",
month = may,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:45 MDT 2011",
bibsource = "http://www.fq.math.ca/36-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-2/spearman.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kimberling:1998:PSI,
author = "Clark Kimberling",
title = "Palindromic Sequences from Irrational Numbers",
journal = j-FIB-QUART,
volume = "36",
number = "2",
pages = "171--173",
month = may,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:45 MDT 2011",
bibsource = "http://www.fq.math.ca/36-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-2/kimberling.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Andre-Jeannin:1998:ICI,
author = "Richard Andr{\'e}-Jeannin",
title = "On the Integrity of Certain Infinite Series",
journal = j-FIB-QUART,
volume = "36",
number = "2",
pages = "174--180",
month = may,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:45 MDT 2011",
bibsource = "http://www.fq.math.ca/36-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-2/andre-jeannin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rabinowitz:1998:EPSb,
author = "Stanley Rabinowitz",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "36",
number = "2",
pages = "181--186",
month = may,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:45 MDT 2011",
bibsource = "http://www.fq.math.ca/36-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-2/elementary36-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1998:APSb,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "36",
number = "2",
pages = "187--193",
month = may,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:45 MDT 2011",
bibsource = "http://www.fq.math.ca/36-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-2/advanced36-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wilson:1998:FTM,
author = "Brad Wilson",
title = "The {Fibonacci} Triangle Modulo $p$",
journal = j-FIB-QUART,
volume = "36",
number = "3",
pages = "194--203",
month = jun,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:47 MDT 2011",
bibsource = "http://www.fq.math.ca/36-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-3/wilson1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cakic:1998:NSN,
author = "Nenad P. Caki{\'c}",
title = "Note on {Stirling} Numbers of the Second Kind",
journal = j-FIB-QUART,
volume = "36",
number = "3",
pages = "204--205",
month = jun,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:47 MDT 2011",
bibsource = "http://www.fq.math.ca/36-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-3/cakic.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Alameddine:1998:BFN,
author = "Ahmad Fawzi Alameddine",
title = "Bounds on the {Fibonacci} Number of a Maximal
Outerplanar Graph",
journal = j-FIB-QUART,
volume = "36",
number = "3",
pages = "206--210",
month = jun,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:47 MDT 2011",
bibsource = "http://www.fq.math.ca/36-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-3/alameddine.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Sofo:1998:FRS,
author = "A. Sofo and P. Cerone",
title = "On a {Fibonacci} Related Series",
journal = j-FIB-QUART,
volume = "36",
number = "3",
pages = "211--215",
month = jun,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:47 MDT 2011",
bibsource = "http://www.fq.math.ca/36-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-3/sofo.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Aydin:1998:GFS,
author = "H{\"u}seyin Aydin and Ramazan Dikici",
title = "General {Fibonacci} Sequences in Finite Groups",
journal = j-FIB-QUART,
volume = "36",
number = "3",
pages = "216--221",
month = jun,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:47 MDT 2011",
bibsource = "http://www.fq.math.ca/36-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-3/aydin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brillhart:1998:NFP,
author = "John Brillhart",
title = "Note on {Fibonacci} Primality Testing",
journal = j-FIB-QUART,
volume = "36",
number = "3",
pages = "222--228",
month = jun,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:47 MDT 2011",
bibsource = "http://www.fq.math.ca/36-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-3/brillhart.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wilson:1998:PDM,
author = "Brad Wilson",
title = "Power Digraphs Modulo $n$",
journal = j-FIB-QUART,
volume = "36",
number = "3",
pages = "229--239",
month = jun,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:47 MDT 2011",
bibsource = "http://www.fq.math.ca/36-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-3/wilson2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Filipponi:1998:ZDC,
author = "Piero Filipponi and Evelyn L. Hart",
title = "The {Zeckendorf} Decomposition of Certain
{Fibonacci--Lucas} Products",
journal = j-FIB-QUART,
volume = "36",
number = "3",
pages = "240--247",
month = jun,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:47 MDT 2011",
bibsource = "http://www.fq.math.ca/36-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-3/filipponi.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Tang:1998:SLE,
author = "I. Tang",
title = "Solving Linear Equations Using an Optimization-Based
Iterative Scheme",
journal = j-FIB-QUART,
volume = "36",
number = "3",
pages = "248--251",
month = jun,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:47 MDT 2011",
bibsource = "http://www.fq.math.ca/36-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-3/tang.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Yu:1998:GSN,
author = "Hongquan Yu",
title = "A Generalization of {Stirling} Numbers",
journal = j-FIB-QUART,
volume = "36",
number = "3",
pages = "252--258",
month = jun,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:47 MDT 2011",
bibsource = "http://www.fq.math.ca/36-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-3/yu.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Harminc:1998:PNA,
author = "Mat{\'u}{\v{s}} Harminc and Roman Sot{\'a}k",
title = "Palindromic Numbers in Arithmetic Progressions",
journal = j-FIB-QUART,
volume = "36",
number = "3",
pages = "259--262",
month = jun,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:47 MDT 2011",
bibsource = "http://www.fq.math.ca/36-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-3/harminc.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bruckman:1998:CDF,
author = "Paul S. Bruckman and Peter G. Anderson",
title = "Conjectures on the {$Z$}-Densities of the {Fibonacci}
Sequence",
journal = j-FIB-QUART,
volume = "36",
number = "3",
pages = "263--271",
month = jun,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:47 MDT 2011",
bibsource = "http://www.fq.math.ca/36-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-3/bruckman.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Franco:1998:DBC,
author = "Zachary M. Franco",
title = "Distribution of Binomial Coefficients Modulo Three",
journal = j-FIB-QUART,
volume = "36",
number = "3",
pages = "272--275",
month = jun,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:47 MDT 2011",
bibsource = "http://www.fq.math.ca/36-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-3/franco.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Simalarides:1998:CBN,
author = "A. Simalarides",
title = "Congruences $ \bmod p^n $ for the {Bernoulli}
Numbers",
journal = j-FIB-QUART,
volume = "36",
number = "3",
pages = "276--281",
month = jun,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:47 MDT 2011",
bibsource = "http://www.fq.math.ca/36-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-3/simalarides.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Elia:1998:EBJ,
author = "Michele Elia and Piero Filipponi",
title = "Equations of the {Bring--Jerrard} Form, the {Golden
Section}, and the Square {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "36",
number = "3",
pages = "282--286",
month = jun,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:47 MDT 2011",
bibsource = "http://www.fq.math.ca/36-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-3/elia.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Galuzzi:1998:RAB,
author = "Massimo Galuzzi",
title = "A Remark about the Binomial Transform",
journal = j-FIB-QUART,
volume = "36",
number = "3",
pages = "287--289",
month = jun,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:47 MDT 2011",
bibsource = "http://www.fq.math.ca/36-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-3/galuzzi.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Elsner:1998:MRC,
author = "C. Elsner",
title = "A Metric Result Concerning the Approximation of Real
Numbers by Continued Fractions",
journal = j-FIB-QUART,
volume = "36",
number = "4",
pages = "290--294",
month = aug,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:49 MDT 2011",
bibsource = "http://www.fq.math.ca/36-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-4/elsner.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gauthier:1998:ICS,
author = "N. Gauthier",
title = "Identities for a Class of Sums Involving {Horadam}'s
Generalized Numbers {$ \{ W_n \} $}",
journal = j-FIB-QUART,
volume = "36",
number = "4",
pages = "295--304",
month = aug,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:49 MDT 2011",
bibsource = "http://www.fq.math.ca/36-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-4/gauthier.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Slijepcevic:1998:NID,
author = "Sini{\v{s}}a Slijep{\v{c}}evi{\'c}",
title = "A Note on Initial Digits of Recurrence Sequences",
journal = j-FIB-QUART,
volume = "36",
number = "4",
pages = "305--308",
month = aug,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:49 MDT 2011",
bibsource = "http://www.fq.math.ca/36-4.html;
https://www.math.utah.edu/pub/tex/bib/benfords-law.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-4/slijepcevic.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Joseph:1998:CEF,
author = "John A. Joseph",
title = "A Chaotic Extension of the $ 3 x + 1 $ Function to {$
Z_2 [i] $}",
journal = j-FIB-QUART,
volume = "36",
number = "4",
pages = "309--316",
month = aug,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:49 MDT 2011",
bibsource = "http://www.fq.math.ca/36-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-4/joseph.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Robbins:1998:WTE,
author = "Neville Robbins",
title = "{Wilson}'s Theorem via {Eulerian} Numbers",
journal = j-FIB-QUART,
volume = "36",
number = "4",
pages = "317--318",
month = aug,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:49 MDT 2011",
bibsource = "http://www.fq.math.ca/36-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-4/robbins.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Nyblom:1998:NSA,
author = "M. A. Nyblom",
title = "A Note on the Set of Almost-Isosceles Right-Angled
Triangles",
journal = j-FIB-QUART,
volume = "36",
number = "4",
pages = "319--322",
month = aug,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:49 MDT 2011",
bibsource = "http://www.fq.math.ca/36-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-4/nyblom.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Siler:1998:MCP,
author = "Joseph R. Siler",
title = "Mean Crowds and {Pythagorean} Triples",
journal = j-FIB-QUART,
volume = "36",
number = "4",
pages = "323--326",
month = aug,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:49 MDT 2011",
bibsource = "http://www.fq.math.ca/36-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-4/siler.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Zhang:1998:GSI,
author = "Zhizheng Zhang and Maixue Liu",
title = "Generalizations of Some Identities Involving
Generalized Second-Order Integer Sequences",
journal = j-FIB-QUART,
volume = "36",
number = "4",
pages = "327--328",
month = aug,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:49 MDT 2011",
bibsource = "http://www.fq.math.ca/36-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-4/zhang1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Zhang:1998:SIIb,
author = "Zhizheng Zhang and Jingyu Jin",
title = "Some Identities Involving Generalized {Genocchi}
Polynomials and Generalized {Fibonacci--Lucas}
Sequences",
journal = j-FIB-QUART,
volume = "36",
number = "4",
pages = "329--334",
month = aug,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:49 MDT 2011",
bibsource = "http://www.fq.math.ca/36-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-4/zhang2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Udrea:1998:DE,
author = "Gheorghe Udrea",
title = "The {Diophantine} Equations {$ x^2 - k = T_n(a^2 \pm
1) $}",
journal = j-FIB-QUART,
volume = "36",
number = "4",
pages = "335--338",
month = aug,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:49 MDT 2011",
bibsource = "http://www.fq.math.ca/36-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-4/udrea.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ma:1998:GKI,
author = "Xinrong Ma",
title = "A Generalization of the {Kummer} Identity and Its
Application to {Fibonacci--Lucas} Sequences",
journal = j-FIB-QUART,
volume = "36",
number = "4",
pages = "339--347",
month = aug,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:49 MDT 2011",
bibsource = "http://www.fq.math.ca/36-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-4/ma.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Jaroszewski:1998:SEP,
author = "I. Jaroszewski and A. K. Kwa{\c{s}}niewski",
title = "Some Extensions of Properties of the Sequence of
Reciprocal {Fibonacci} Polynomials",
journal = j-FIB-QUART,
volume = "36",
number = "4",
pages = "348--353",
month = aug,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:49 MDT 2011",
bibsource = "http://www.fq.math.ca/36-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-4/jaroszewski.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Park:1998:CP,
author = "SeungKyung Park",
title = "Complete Partitions",
journal = j-FIB-QUART,
volume = "36",
number = "4",
pages = "354--360",
month = aug,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:49 MDT 2011",
bibsource = "http://www.fq.math.ca/36-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-4/park.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlip:1998:PPN,
author = "W. Carlip and Eliot Jacobson and Lawrence Somer",
title = "Pseudoprimes, Perfect Numbers, and a Problem of
{Lehmer}",
journal = j-FIB-QUART,
volume = "36",
number = "4",
pages = "361--371",
month = aug,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:49 MDT 2011",
bibsource = "http://www.fq.math.ca/36-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-4/carlip.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1998:TOE,
author = "Anonymous",
title = "A Toast to Our Editor",
journal = j-FIB-QUART,
volume = "36",
number = "4",
pages = "372--??",
month = aug,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:49 MDT 2011",
bibsource = "http://www.fq.math.ca/36-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-4/toast.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rabinowitz:1998:EPSc,
author = "Stanley Rabinowitz",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "36",
number = "4",
pages = "373--378",
month = aug,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:49 MDT 2011",
bibsource = "http://www.fq.math.ca/36-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-4/elementary36-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1998:APSc,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "36",
number = "4",
pages = "379--385",
month = aug,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:49 MDT 2011",
bibsource = "http://www.fq.math.ca/36-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-4/advanced36-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cohen:1998:HS,
author = "G. L. Cohen and R. M. Sorli",
title = "Harmonic Seeds",
journal = j-FIB-QUART,
volume = "36",
number = "5",
pages = "386--390",
month = nov,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:51 MDT 2011",
bibsource = "http://www.fq.math.ca/36-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-5/cohen.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:1998:MVT,
author = "A. F. Horadam",
title = "{Morgan--Voyce} Type Generalized Polynomials with
Negative Subscripts",
journal = j-FIB-QUART,
volume = "36",
number = "5",
pages = "391--394",
month = nov,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:51 MDT 2011",
bibsource = "http://www.fq.math.ca/36-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-5/horadam.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wilson:1998:AP,
author = "Brad Wilson",
title = "Acknowledgment of Priority",
journal = j-FIB-QUART,
volume = "36",
number = "5",
pages = "395--??",
month = nov,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:51 MDT 2011",
bibsource = "http://www.fq.math.ca/36-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-5/priority.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hart:1998:UPB,
author = "Evelyn Hart",
title = "On Using Patterns in Beta-Expansions to Study
{Fibonacci--Lucas} Products",
journal = j-FIB-QUART,
volume = "36",
number = "5",
pages = "396--405",
month = nov,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:51 MDT 2011",
bibsource = "http://www.fq.math.ca/36-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-5/hart.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1998:NPW,
author = "Anonymous",
title = "New Problem {Web} Site",
journal = j-FIB-QUART,
volume = "36",
number = "5",
pages = "406--??",
month = nov,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:51 MDT 2011",
bibsource = "http://www.fq.math.ca/36-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-5/problems.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cooper:1998:CSF,
author = "C. Cooper and R. E. Kennedy and M. Renberg",
title = "On Certain Sums of Functions of Base {$B$}
Expansions",
journal = j-FIB-QUART,
volume = "36",
number = "5",
pages = "407--415",
month = nov,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:51 MDT 2011",
bibsource = "http://www.fq.math.ca/36-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-5/cooper.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kimberling:1998:EZ,
author = "Clark Kimberling",
title = "{Edouard Zeckendorf}",
journal = j-FIB-QUART,
volume = "36",
number = "5",
pages = "416--418",
month = nov,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:51 MDT 2011",
bibsource = "http://www.fq.math.ca/36-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-5/kimberling.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Young:1998:DPT,
author = "Anne Ludington Young",
title = "{Ducci}-Processes of $5$-tuples",
journal = j-FIB-QUART,
volume = "36",
number = "5",
pages = "419--433",
month = nov,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:51 MDT 2011",
bibsource = "http://www.fq.math.ca/36-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-5/ludington.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Zarzycki:1998:CMS,
author = "Piotr Zarzycki",
title = "Corrigendum to {``On Multiplicity Sequences''}",
journal = j-FIB-QUART,
volume = "36",
number = "5",
pages = "434--??",
month = nov,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:51 MDT 2011",
bibsource = "http://www.fq.math.ca/36-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "See \cite{Zarzycki:1997:MS}.",
URL = "http://www.fq.math.ca/Scanned/36-5/corrigendum.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Howard:1998:LRS,
author = "F. T. Howard",
title = "Lacunary Recurrences for Sums of Powers of Integers",
journal = j-FIB-QUART,
volume = "36",
number = "5",
pages = "435--442",
month = nov,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:51 MDT 2011",
bibsource = "http://www.fq.math.ca/36-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-5/howard.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Stinchcombe:1998:RRP,
author = "Adam M. Stinchcombe",
title = "Recurrence Relations for Powers of Recursion
Sequences",
journal = j-FIB-QUART,
volume = "36",
number = "5",
pages = "443--447",
month = nov,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:51 MDT 2011",
bibsource = "http://www.fq.math.ca/36-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-5/stinchcombe.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Dantchev:1998:CFF,
author = "Stefan Dantchev",
title = "A Closed Form of the {$ (2, F) $} Generalizations of
the {Fibonacci} Sequence",
journal = j-FIB-QUART,
volume = "36",
number = "5",
pages = "448--451",
month = nov,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:51 MDT 2011",
bibsource = "http://www.fq.math.ca/36-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-5/dantchev.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Melham:1998:GTP,
author = "Ray Melham",
title = "Generalized Triple Products",
journal = j-FIB-QUART,
volume = "36",
number = "5",
pages = "452--456",
month = nov,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:51 MDT 2011",
bibsource = "http://www.fq.math.ca/36-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-5/melham.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Filipponi:1998:RGL,
author = "Piero Filipponi",
title = "Representing Generalized {Lucas} Numbers in Terms of
Their $ \alpha $-Values",
journal = j-FIB-QUART,
volume = "36",
number = "5",
pages = "457--462",
month = nov,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:51 MDT 2011",
bibsource = "http://www.fq.math.ca/36-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-5/filipponi.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Breuer:1998:NPG,
author = "Florian Breuer",
title = "A Note on a Paper by {Glaser} and {Sch{\"o}ffl}",
journal = j-FIB-QUART,
volume = "36",
number = "5",
pages = "463--466",
month = nov,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:51 MDT 2011",
bibsource = "http://www.fq.math.ca/36-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-5/breuer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rabinowitz:1998:EPSd,
author = "Stanley Rabinowitz",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "36",
number = "5",
pages = "467--472",
month = nov,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:51 MDT 2011",
bibsource = "http://www.fq.math.ca/36-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-5/elementary36-5.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1998:APSd,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "36",
number = "5",
pages = "473--??",
month = nov,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:51 MDT 2011",
bibsource = "http://www.fq.math.ca/36-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-5/advanced36-5.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1999:R,
author = "Anonymous",
title = "Referees",
journal = j-FIB-QUART,
volume = "37",
number = "1",
pages = "2--??",
month = feb,
year = "1999",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:53 MDT 2011",
bibsource = "http://www.fq.math.ca/37-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/37-1/referees.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Nyblom:1999:GBT,
author = "M. A. Nyblom",
title = "On a Generalization of the Binomial Theorem",
journal = j-FIB-QUART,
volume = "37",
number = "1",
pages = "3--13",
month = feb,
year = "1999",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:53 MDT 2011",
bibsource = "http://www.fq.math.ca/37-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/37-1/nyblom.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Dazheng:1999:FM,
author = "Lin Dazheng",
title = "{Fibonacci} Matrices",
journal = j-FIB-QUART,
volume = "37",
number = "1",
pages = "14--20",
month = feb,
year = "1999",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:53 MDT 2011",
bibsource = "http://www.fq.math.ca/37-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/37-1/lin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hart:1999:OZD,
author = "Evelyn Hart and Laura Sanchis",
title = "On the Occurrence of {$ F_n $} in the {Zeckendorf}
Decomposition of {$ n F_n $}",
journal = j-FIB-QUART,
volume = "37",
number = "1",
pages = "21--32",
month = feb,
year = "1999",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:53 MDT 2011",
bibsource = "http://www.fq.math.ca/37-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/37-1/hart.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1999:C,
author = "Anonymous",
title = "Corrigendum",
journal = j-FIB-QUART,
volume = "37",
number = "1",
pages = "33--??",
month = feb,
year = "1999",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:53 MDT 2011",
bibsource = "http://www.fq.math.ca/37-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/37-1/corrigendum.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Mouline:1999:AMC,
author = "Mehdi Mouline and Mustapha Rachidi",
title = "Application of {Markov} Chains Properties to
$r$-Generalized {Fibonacci} Sequences",
journal = j-FIB-QUART,
volume = "37",
number = "1",
pages = "34--38",
month = feb,
year = "1999",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:53 MDT 2011",
bibsource = "http://www.fq.math.ca/37-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/37-1/mouline.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Zhou:1999:GCL,
author = "Chizhong Zhou",
title = "A General Conclusion on {Lucas} Numbers of the Form $
p x^2 $, Where $p$ Is Prime",
journal = j-FIB-QUART,
volume = "37",
number = "1",
pages = "39--45",
month = feb,
year = "1999",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:53 MDT 2011",
bibsource = "http://www.fq.math.ca/37-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/37-1/zhou.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Freitag:1999:EIC,
author = "Herta T. Freitag",
title = "{The Eighth International Conference}",
journal = j-FIB-QUART,
volume = "37",
number = "1",
pages = "46--??",
month = feb,
year = "1999",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:53 MDT 2011",
bibsource = "http://www.fq.math.ca/37-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/37-1/freitag.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bicknell-Johnson:1999:NRU,
author = "M. Bicknell-Johnson and D. C. Fielder",
title = "The Number of Representations of {$N$} Using Distinct
{Fibonacci} Numbers, Counted by Recursive Formulas",
journal = j-FIB-QUART,
volume = "37",
number = "1",
pages = "47--60",
month = feb,
year = "1999",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:53 MDT 2011",
bibsource = "http://www.fq.math.ca/37-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/37-1/bicknell.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Dordevic:1999:PRM,
author = "Gospava B. Dordevi{\'c}",
title = "Polynomials Related to {Morgan--Voyce} Polynomials",
journal = j-FIB-QUART,
volume = "37",
number = "1",
pages = "61--66",
month = feb,
year = "1999",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:53 MDT 2011",
bibsource = "http://www.fq.math.ca/37-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/37-1/dordevic.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Shonhiwa:1999:GEJ,
author = "Temba Shonhiwa",
title = "A Generalization of the {Euler} and {Jordan} Totient
Functions",
journal = j-FIB-QUART,
volume = "37",
number = "1",
pages = "67--76",
month = feb,
year = "1999",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:53 MDT 2011",
bibsource = "http://www.fq.math.ca/37-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/37-1/shonhiwa.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Li:1999:FPR,
author = "Hua-Chieh Li",
title = "{Fibonacci} Primitive Roots and {Wall}'s Question",
journal = j-FIB-QUART,
volume = "37",
number = "1",
pages = "77--84",
month = feb,
year = "1999",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:53 MDT 2011",
bibsource = "http://www.fq.math.ca/37-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/37-1/li.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rabinowitz:1999:EPSa,
author = "Stanley Rabinowitz",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "37",
number = "1",
pages = "85--90",
month = feb,
year = "1999",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:53 MDT 2011",
bibsource = "http://www.fq.math.ca/37-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/37-1/elementary37-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1999:APSa,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "37",
number = "1",
pages = "91--97",
month = feb,
year = "1999",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:53 MDT 2011",
bibsource = "http://www.fq.math.ca/37-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/37-1/advanced37-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Behera:1999:SRT,
author = "A. Behera and G. K. Panda",
title = "On the Square Roots of Triangular Numbers",
journal = j-FIB-QUART,
volume = "37",
number = "2",
pages = "98--105",
month = may,
year = "1999",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:55 MDT 2011",
bibsource = "http://www.fq.math.ca/37-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/37-2/behera.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Melham:1999:GSI,
author = "Ray Melham",
title = "Generalizations of Some Identities of Long",
journal = j-FIB-QUART,
volume = "37",
number = "2",
pages = "106--110",
month = may,
year = "1999",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:55 MDT 2011",
bibsource = "http://www.fq.math.ca/37-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/37-2/melham1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Melham:1999:LSFa,
author = "R. S. Melham",
title = "{Lucas} Sequences and Functions of a $3$-by-$3$
Matrix",
journal = j-FIB-QUART,
volume = "37",
number = "2",
pages = "111--115",
month = may,
year = "1999",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:55 MDT 2011",
bibsource = "http://www.fq.math.ca/37-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/37-2/melham2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bicknell-Johnson:1999:BRB,
author = "Marjorie Bicknell-Johnson",
title = "Book Review: {{\booktitle{The Golden Ratio and
Fibonacci Numbers}}, by Richard A. Dunlap}",
journal = j-FIB-QUART,
volume = "37",
number = "2",
pages = "116--??",
month = may,
year = "1999",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:55 MDT 2011",
bibsource = "http://www.fq.math.ca/37-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "See \cite{Dunlap:1997:GRF}.",
URL = "http://www.fq.math.ca/Scanned/37-2/review.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cohen:1999:AVT,
author = "Henri Cohen",
title = "On the $2$-Adic Valuations of the Truncated
Polylogarithm Series",
journal = j-FIB-QUART,
volume = "37",
number = "2",
pages = "117--121",
month = may,
year = "1999",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:55 MDT 2011",
bibsource = "http://www.fq.math.ca/37-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/37-2/cohen.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rabinowitz:1999:ASR,
author = "Stanley Rabinowitz",
title = "Algorithmic Summation of Reciprocals of Products of
{Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "37",
number = "2",
pages = "122--127",
month = may,
year = "1999",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:55 MDT 2011",
bibsource = "http://www.fq.math.ca/37-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/37-2/rabinowitz1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Freitag:1999:DFN,
author = "Herta T. Freitag and Piero Filipponi",
title = "Division of {Fibonacci} Numbers by $k$",
journal = j-FIB-QUART,
volume = "37",
number = "2",
pages = "128--134",
month = may,
year = "1999",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:55 MDT 2011",
bibsource = "http://www.fq.math.ca/37-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/37-2/freitag.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gould:1999:FWP,
author = "Henry W. Gould",
title = "The {Firard--Waring} Power Sum Formulas for Symmetric
Functions, and {Fibonacci} Sequences",
journal = j-FIB-QUART,
volume = "37",
number = "2",
pages = "135--140",
month = may,
year = "1999",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:55 MDT 2011",
bibsource = "http://www.fq.math.ca/37-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/37-2/gould.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Swamy:1999:GJP,
author = "M. N. S. Swamy",
title = "A Generalization of {Jacobsthal} Polynomials",
journal = j-FIB-QUART,
volume = "37",
number = "2",
pages = "141--144",
month = may,
year = "1999",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:55 MDT 2011",
bibsource = "http://www.fq.math.ca/37-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/37-2/swamy.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ludington-Young:1999:EDS,
author = "Anne L. Ludington-Young",
title = "Even {Ducci}-Sequences",
journal = j-FIB-QUART,
volume = "37",
number = "2",
pages = "145--153",
month = may,
year = "1999",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:55 MDT 2011",
bibsource = "http://www.fq.math.ca/37-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/37-2/ludington.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Nymann:1999:ENI,
author = "J. E. Nymann and Ricardo A. S{\'a}enz",
title = "{Eulerian} Numbers: Inversion Formulas and Congruences
Modulo a Prime",
journal = j-FIB-QUART,
volume = "37",
number = "2",
pages = "154--161",
month = may,
year = "1999",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:55 MDT 2011",
bibsource = "http://www.fq.math.ca/37-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/37-2/nymann.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rabinowitz:1999:AMS,
author = "Stanley Rabinowitz",
title = "Algorithmic Manipulation of Second-Order Linear
Recurrences",
journal = j-FIB-QUART,
volume = "37",
number = "2",
pages = "162--176",
month = may,
year = "1999",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:55 MDT 2011",
bibsource = "http://www.fq.math.ca/37-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/37-2/rabinowitz2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1999:MRS,
author = "Anonymous",
title = "In Memoriam --- {Richard Spain Vine}",
journal = j-FIB-QUART,
volume = "37",
number = "2",
pages = "177--??",
month = may,
year = "1999",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:55 MDT 2011",
bibsource = "http://www.fq.math.ca/37-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/37-2/in-memoriam.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rieger:1999:GSN,
author = "Georg Johann Rieger",
title = "The Golden Section and {Newton} Approximation",
journal = j-FIB-QUART,
volume = "37",
number = "2",
pages = "178--179",
month = may,
year = "1999",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:55 MDT 2011",
bibsource = "http://www.fq.math.ca/37-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/37-2/rieger.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rabinowitz:1999:EPSb,
author = "Stanley Rabinowitz",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "37",
number = "2",
pages = "180--184",
month = may,
year = "1999",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:55 MDT 2011",
bibsource = "http://www.fq.math.ca/37-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/37-2/elementary37-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1999:APSb,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "37",
number = "2",
pages = "185--193",
month = may,
year = "1999",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:55 MDT 2011",
bibsource = "http://www.fq.math.ca/37-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/37-2/advanced37-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Subramaniam:1999:AST,
author = "K. B. Subramaniam",
title = "Almost Square Triangular Numbers",
journal = j-FIB-QUART,
volume = "37",
number = "3",
pages = "194--197",
month = aug,
year = "1999",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:57 MDT 2011",
bibsource = "http://www.fq.math.ca/37-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/37-3/subramaniam.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Viader:1999:NPE,
author = "P. Viader and J. Paradis and Bibiloni",
title = "Note on the {Pierce} Expansion of a Logarithm",
journal = j-FIB-QUART,
volume = "37",
number = "3",
pages = "198--202",
month = aug,
year = "1999",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:57 MDT 2011",
bibsource = "http://www.fq.math.ca/37-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/37-3/viader.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Zhang:1999:GFS,
author = "Zhizheng Zhang",
title = "Generalized {Fibonacci} Sequences and a Generalization
of the {$Q$}-Matrix",
journal = j-FIB-QUART,
volume = "37",
number = "3",
pages = "203--207",
month = aug,
year = "1999",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:57 MDT 2011",
bibsource = "http://www.fq.math.ca/37-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/37-3/zhang.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Melham:1999:LSE,
author = "R. S. Melham",
title = "{Lambert} Series and Elliptic Functions and Certain
Reciprocal Sums",
journal = j-FIB-QUART,
volume = "37",
number = "3",
pages = "208--212",
month = aug,
year = "1999",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:57 MDT 2011",
bibsource = "http://www.fq.math.ca/37-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/37-3/melham1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Swamy:1999:GFL,
author = "M. N. Swamy",
title = "Generalized {Fibonacci} and {Lucas} Polynomials, and
Their Associated Diagonal Polynomials",
journal = j-FIB-QUART,
volume = "37",
number = "3",
pages = "213--222",
month = aug,
year = "1999",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:57 MDT 2011",
bibsource = "http://www.fq.math.ca/37-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/37-3/swamy.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Motta:1999:GFS,
author = "W. Motta and M. Rachidi and O. Saeki",
title = "On $ \infty $-Generalized {Fibonacci} Sequences",
journal = j-FIB-QUART,
volume = "37",
number = "3",
pages = "223--232",
month = aug,
year = "1999",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:57 MDT 2011",
bibsource = "http://www.fq.math.ca/37-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/37-3/motta.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Shonhiwa:1999:GBF,
author = "Temba Shonhiwa",
title = "Generalized Bracket Function Inverse Pairs",
journal = j-FIB-QUART,
volume = "37",
number = "3",
pages = "233--239",
month = aug,
year = "1999",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:57 MDT 2011",
bibsource = "http://www.fq.math.ca/37-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/37-3/shonhiwa.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Strazdins:1999:PFL,
author = "Indulis Strazdins",
title = "Partial {Fibonacci} and {Lucas} Numbers",
journal = j-FIB-QUART,
volume = "37",
number = "3",
pages = "240--247",
month = aug,
year = "1999",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:57 MDT 2011",
bibsource = "http://www.fq.math.ca/37-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/37-3/strazdins.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Melham:1999:SCP,
author = "R. S. Melham",
title = "Sums of Certain Products of {Fibonacci} and {Lucas}
Numbers",
journal = j-FIB-QUART,
volume = "37",
number = "3",
pages = "248--251",
month = aug,
year = "1999",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:57 MDT 2011",
bibsource = "http://www.fq.math.ca/37-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/37-3/melham2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rieger:1999:FNH,
author = "Georg J. Rieger",
title = "{Fibonacci} Numbers and Harmonic Quadruples",
journal = j-FIB-QUART,
volume = "37",
number = "3",
pages = "252--253",
month = aug,
year = "1999",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:57 MDT 2011",
bibsource = "http://www.fq.math.ca/37-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/37-3/rieger.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Zhao:1999:NRS,
author = "Feng-Zhen Zhao",
title = "Notes on Reciprocal Series Related to {Fibonacci} and
{Lucas} Numbers",
journal = j-FIB-QUART,
volume = "37",
number = "3",
pages = "254--257",
month = aug,
year = "1999",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:57 MDT 2011",
bibsource = "http://www.fq.math.ca/37-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/37-3/zhao.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Izotov:1999:FSM,
author = "Anatoly S. Izotov",
title = "On the Form of Solutions of {Martin Davis}'
{Diophantine} Equation",
journal = j-FIB-QUART,
volume = "37",
number = "3",
pages = "258--261",
month = aug,
year = "1999",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:57 MDT 2011",
bibsource = "http://www.fq.math.ca/37-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/37-3/izotov.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Filipponi:1999:IF,
author = "P. Filipponi and O. Brugia",
title = "On the Integers of the Form $ n (n - 1) - 1 $",
journal = j-FIB-QUART,
volume = "37",
number = "3",
pages = "262--263",
month = aug,
year = "1999",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:57 MDT 2011",
bibsource = "http://www.fq.math.ca/37-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/37-3/filipponi.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1999:ANIa,
author = "Anonymous",
title = "Announcement of the {Ninth International Conference on
Fibonacci Numbers and Their Applications}",
journal = j-FIB-QUART,
volume = "37",
number = "3",
pages = "264--??",
month = aug,
year = "1999",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:57 MDT 2011",
bibsource = "http://www.fq.math.ca/37-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/37-3/announcement.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:1999:AFF,
author = "Florian Luca",
title = "Arithmetic Functions of {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "37",
number = "3",
pages = "265--268",
month = aug,
year = "1999",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:57 MDT 2011",
bibsource = "http://www.fq.math.ca/37-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/37-3/luca.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Melham:1999:LSFb,
author = "R. S. Melham",
title = "{Lucas} Sequences and Functions of a $4$-by-$4$
Matrix",
journal = j-FIB-QUART,
volume = "37",
number = "3",
pages = "269--276",
month = aug,
year = "1999",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:57 MDT 2011",
bibsource = "http://www.fq.math.ca/37-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/37-3/melham3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rabinowitz:1999:EPSc,
author = "Stanley Rabinowitz",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "37",
number = "3",
pages = "277--281",
month = aug,
year = "1999",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:57 MDT 2011",
bibsource = "http://www.fq.math.ca/37-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/37-3/elementary37-3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1999:APSc,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "37",
number = "3",
pages = "282--289",
month = aug,
year = "1999",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:57 MDT 2011",
bibsource = "http://www.fq.math.ca/37-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/37-3/advanced37-3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Filipponi:1999:FFN,
author = "Piero Filipponi and Michele Elia",
title = "The Factorization of $ x^5 \pm p^2 x - k $ and
{Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "37",
number = "4",
pages = "290--298",
month = nov,
year = "1999",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:59 MDT 2011",
bibsource = "http://www.fq.math.ca/37-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/37-4/filipponi1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Nyblom:1999:IVS,
author = "M. A. Nyblom",
title = "On Irrational Valued Series Involving Generalized
{Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "37",
number = "4",
pages = "299--304",
month = nov,
year = "1999",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:59 MDT 2011",
bibsource = "http://www.fq.math.ca/37-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/37-4/nyblom.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Melham:1999:SAI,
author = "R. S. Melham",
title = "Some Analogs of the Identity {$ F^2_n + F^2_{n + 1} =
F_{2 n + 1} $}",
journal = j-FIB-QUART,
volume = "37",
number = "4",
pages = "305--311",
month = nov,
year = "1999",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:59 MDT 2011",
bibsource = "http://www.fq.math.ca/37-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/37-4/melham1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Dujella:1999:EOP,
author = "Andrej Dujella",
title = "An Extension of an Old Problem of {Diophantus} and
{Euler}",
journal = j-FIB-QUART,
volume = "37",
number = "4",
pages = "312--314",
month = nov,
year = "1999",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:59 MDT 2011",
bibsource = "http://www.fq.math.ca/37-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/37-4/dujella.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Melham:1999:FII,
author = "R. S. Melham",
title = "Families of Identities Involving Sums of Powers of the
{Fibonacci} and {Lucas} Numbers",
journal = j-FIB-QUART,
volume = "37",
number = "4",
pages = "315--319",
month = nov,
year = "1999",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:59 MDT 2011",
bibsource = "http://www.fq.math.ca/37-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/37-4/melham2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:1999:RGC,
author = "A. F. Horadam",
title = "Representation Grids for Certain {Morgan--Voyce}
Numbers",
journal = j-FIB-QUART,
volume = "37",
number = "4",
pages = "320--325",
month = nov,
year = "1999",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:59 MDT 2011",
bibsource = "http://www.fq.math.ca/37-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/37-4/horadam.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Filipponi:1999:S,
author = "Piero Filipponi and Giuseppe Fierro",
title = "On the Sequences {$ T_n = T_{n - 1} + T_{n - 2} + h n
+ k $}",
journal = j-FIB-QUART,
volume = "37",
number = "4",
pages = "326--332",
month = nov,
year = "1999",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:59 MDT 2011",
bibsource = "http://www.fq.math.ca/37-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/37-4/filipponi2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Washington:1999:SRF,
author = "Lawrence C. Washington",
title = "Some Remarks on {Fibonacci} Matrices",
journal = j-FIB-QUART,
volume = "37",
number = "4",
pages = "333--341",
month = nov,
year = "1999",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:59 MDT 2011",
bibsource = "http://www.fq.math.ca/37-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/37-4/washington.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Li:1999:SOL,
author = "Hua-Chieh Li",
title = "On Second-Order Linear Recurrence Sequences: {Wall}
and {Wyler} Revisited",
journal = j-FIB-QUART,
volume = "37",
number = "4",
pages = "342--349",
month = nov,
year = "1999",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:59 MDT 2011",
bibsource = "http://www.fq.math.ca/37-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/37-4/li.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Swamy:1999:NPP,
author = "M. N. S. Swamy",
title = "Network Properties of a Pair of Generalized
Polynomials",
journal = j-FIB-QUART,
volume = "37",
number = "4",
pages = "350--360",
month = nov,
year = "1999",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:59 MDT 2011",
bibsource = "http://www.fq.math.ca/37-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/37-4/swamy.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Strazdins:1999:SFG,
author = "Indulis Strazdins",
title = "Sieve Formulas for the Generalized {Fibonacci} and
{Lucas} Numbers",
journal = j-FIB-QUART,
volume = "37",
number = "4",
pages = "361--365",
month = nov,
year = "1999",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:59 MDT 2011",
bibsource = "http://www.fq.math.ca/37-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/37-4/strazdins.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1999:ANIb,
author = "Anonymous",
title = "Announcement of the {Ninth International Conference on
Fibonacci Numbers and Their Applications}",
journal = j-FIB-QUART,
volume = "37",
number = "4",
pages = "366--??",
month = nov,
year = "1999",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:59 MDT 2011",
bibsource = "http://www.fq.math.ca/37-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/37-4/announcement.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Woltman:1999:DKM,
author = "George Woltman",
title = "On the Discovery of the $ 38 $ th Known {Mersenne}
Prime",
journal = j-FIB-QUART,
volume = "37",
number = "4",
pages = "367--370",
month = nov,
year = "1999",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:59 MDT 2011",
bibsource = "http://www.fq.math.ca/37-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/37-4/woltman.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rabinowitz:1999:EPSd,
author = "Stanley Rabinowitz",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "37",
number = "4",
pages = "371--376",
month = nov,
year = "1999",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:59 MDT 2011",
bibsource = "http://www.fq.math.ca/37-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/37-4/elementary37-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:1999:APSd,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "37",
number = "4",
pages = "377--382",
month = nov,
year = "1999",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:59 MDT 2011",
bibsource = "http://www.fq.math.ca/37-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/37-4/advanced37-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1999:VI,
author = "Anonymous",
title = "Volume Index",
journal = j-FIB-QUART,
volume = "37",
number = "4",
pages = "383--??",
month = nov,
year = "1999",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:59 MDT 2011",
bibsource = "http://www.fq.math.ca/37-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/37-4/index.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2000:R,
author = "Anonymous",
title = "Referees",
journal = j-FIB-QUART,
volume = "38",
number = "1",
pages = "2--??",
month = feb,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:01 MDT 2011",
bibsource = "http://www.fq.math.ca/38-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-1/referees.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Melham:2000:SCP,
author = "R. S. Melham",
title = "Sums of Certain Products of {Fibonacci} and {Lucas}
Numbers --- {Part II}",
journal = j-FIB-QUART,
volume = "38",
number = "1",
pages = "3--7",
month = feb,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:01 MDT 2011",
bibsource = "http://www.fq.math.ca/38-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-1/melham.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Swamy:2000:GMM,
author = "M. N. S. Swamy",
title = "Generalizations of Modified {Morgan--Voyce}
Polynomials",
journal = j-FIB-QUART,
volume = "38",
number = "1",
pages = "8--16",
month = feb,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:01 MDT 2011",
bibsource = "http://www.fq.math.ca/38-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-1/swamy1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{MacHenry:2000:FF,
author = "T. MacHenry",
title = "{Fibonacci} Fields",
journal = j-FIB-QUART,
volume = "38",
number = "1",
pages = "17--24",
month = feb,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:01 MDT 2011",
bibsource = "http://www.fq.math.ca/38-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-1/machenry.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Elsner:2000:DAR,
author = "Carsten Elsner",
title = "On {Diophantine} Approximations with Rational
Restricted by Arithmetical Conditions",
journal = j-FIB-QUART,
volume = "38",
number = "1",
pages = "25--34",
month = feb,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:01 MDT 2011",
bibsource = "http://www.fq.math.ca/38-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-1/elsner.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bruckman:2000:DCP,
author = "Paul S. Bruckman",
title = "On the Degree of the Characteristic Polynomial of
Powers of Sequences",
journal = j-FIB-QUART,
volume = "38",
number = "1",
pages = "35--38",
month = feb,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:01 MDT 2011",
bibsource = "http://www.fq.math.ca/38-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-1/bruckman.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Robbins:2000:CP,
author = "Neville Robbins",
title = "On $t$-Core Partitions",
journal = j-FIB-QUART,
volume = "38",
number = "1",
pages = "39--48",
month = feb,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:01 MDT 2011",
bibsource = "http://www.fq.math.ca/38-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-1/robbins.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2000:EIA,
author = "Florian Luca",
title = "Equations Involving Arithmetic Functions of
{Fibonacci} and {Lucas} Numbers",
journal = j-FIB-QUART,
volume = "38",
number = "1",
pages = "49--55",
month = feb,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:01 MDT 2011",
bibsource = "http://www.fq.math.ca/38-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-1/luca.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hsu:2000:RBF,
author = "Leetsch Charles Hsu and Evelyn L. Tan",
title = "A Refinement of {de Bruyn}'s Formulas for $ \sum a^k
k^p $",
journal = j-FIB-QUART,
volume = "38",
number = "1",
pages = "56--59",
month = feb,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:01 MDT 2011",
bibsource = "http://www.fq.math.ca/38-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-1/hsu.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2000:ANIa,
author = "Anonymous",
title = "Announcement: {Ninth International Conference}",
journal = j-FIB-QUART,
volume = "38",
number = "1",
pages = "60--??",
month = feb,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:01 MDT 2011",
bibsource = "http://www.fq.math.ca/38-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-1/announcement.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Swamy:2000:RDP,
author = "M. N. S. Swamy",
title = "Rising Diagonal Polynomials Associated with
{Morgan--Voyce} Polynomials",
journal = j-FIB-QUART,
volume = "38",
number = "1",
pages = "61--70",
month = feb,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:01 MDT 2011",
bibsource = "http://www.fq.math.ca/38-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-1/swamy2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Drobot:2000:PFS,
author = "Vladimir Drobot",
title = "On Primes in the {Fibonacci} Sequences",
journal = j-FIB-QUART,
volume = "38",
number = "1",
pages = "71--72",
month = feb,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:01 MDT 2011",
bibsource = "http://www.fq.math.ca/38-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-1/drobot.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Andaloro:2000:TST,
author = "Paul Andaloro",
title = "On Total Stopping Times Under $ 3 x + 1 $ Iteration",
journal = j-FIB-QUART,
volume = "38",
number = "1",
pages = "73--78",
month = feb,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:01 MDT 2011",
bibsource = "http://www.fq.math.ca/38-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-1/andaloro.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Trif:2000:CSS,
author = "Tiberiu Trif",
title = "Combinatorial Sums and Series Involving Inverses of
Binomial Coefficients",
journal = j-FIB-QUART,
volume = "38",
number = "1",
pages = "79--83",
month = feb,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:01 MDT 2011",
bibsource = "http://www.fq.math.ca/38-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-1/trif.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2000:NEP,
author = "Anonymous",
title = "New Elementary Problem Editors",
journal = j-FIB-QUART,
volume = "38",
number = "1",
pages = "84--??",
month = feb,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:01 MDT 2011",
bibsource = "http://www.fq.math.ca/38-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-1/editors.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rabinowitz:2000:EPSa,
author = "Stanley Rabinowitz",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "38",
number = "1",
pages = "85--90",
month = feb,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:01 MDT 2011",
bibsource = "http://www.fq.math.ca/38-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-1/elementary38-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:2000:APSa,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "38",
number = "1",
pages = "91--97",
month = feb,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:01 MDT 2011",
bibsource = "http://www.fq.math.ca/38-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-1/advanced38-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Turner:2000:FSG,
author = "J. C. Turner and A. G. Shannon",
title = "On {Fibonacci} Sequences, Geometry, and the $m$-Square
Equation",
journal = j-FIB-QUART,
volume = "38",
number = "2",
pages = "98--103",
month = may,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:03 MDT 2011",
bibsource = "http://www.fq.math.ca/38-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-2/turner.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Englund:2000:MSW,
author = "David A. Englund and Marjorie Bicknell-Johnson",
title = "Maximal Subscripts within Generalized {Fibonacci}
Sequences",
journal = j-FIB-QUART,
volume = "38",
number = "2",
pages = "104--113",
month = may,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:03 MDT 2011",
bibsource = "http://www.fq.math.ca/38-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-2/englund.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Swamy:2000:SFP,
author = "M. N. S. Swamy",
title = "Some Further Properties of {Andr{\'e}--Jeannin} and
Their Companion Polynomials",
journal = j-FIB-QUART,
volume = "38",
number = "2",
pages = "114--122",
month = may,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:03 MDT 2011",
bibsource = "http://www.fq.math.ca/38-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-2/swamy.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Melham:2000:ECM,
author = "R. S. Melham and Curtis Cooper",
title = "The Eigenvectors of a Certain Matrix of Binomial
Coefficients",
journal = j-FIB-QUART,
volume = "38",
number = "2",
pages = "123--126",
month = may,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:03 MDT 2011",
bibsource = "http://www.fq.math.ca/38-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-2/melham.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Abrahams:2000:NGF,
author = "Julia Abrahams",
title = "Nonexhaustive Generalized {Fibonacci} Trees in Unequal
Costs Coding Problems",
journal = j-FIB-QUART,
volume = "38",
number = "2",
pages = "127--135",
month = may,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:03 MDT 2011",
bibsource = "http://www.fq.math.ca/38-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-2/abrahams.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Burger:2000:DAB,
author = "Edward B. Burger and Johathan M. Todd",
title = "On {Diophantine} Approximation Below the {Lagrange}
Constant",
journal = j-FIB-QUART,
volume = "38",
number = "2",
pages = "136--144",
month = may,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:03 MDT 2011",
bibsource = "http://www.fq.math.ca/38-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-2/burger.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Balakrishnan:2000:RCB,
author = "Narayanaswamy Balakrishnan and Markos V. Koutras",
title = "Random Combinations with Bounded Differences and
Cospan",
journal = j-FIB-QUART,
volume = "38",
number = "2",
pages = "145--156",
month = may,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:03 MDT 2011",
bibsource = "http://www.fq.math.ca/38-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-2/balakrishnan.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Colucci:2000:FLN,
author = "Luca Colucci and Ottavio D'Antona and Carlo
Mereghetti",
title = "{Fibonacci} and {Lucas} Numbers as Cumulative
Connection Constants",
journal = j-FIB-QUART,
volume = "38",
number = "2",
pages = "157--164",
month = may,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:03 MDT 2011",
bibsource = "http://www.fq.math.ca/38-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-2/colucci.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Panholzer:2000:TPF,
author = "Alois Panholzer and Helmut Prodinger",
title = "Two Proofs of {Filipponi}'s Formula for
Odd-Subscripted {Lucas} Numbers",
journal = j-FIB-QUART,
volume = "38",
number = "2",
pages = "165--166",
month = may,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:03 MDT 2011",
bibsource = "http://www.fq.math.ca/38-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-2/panholzer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{MacHenry:2000:GFL,
author = "Trueman MacHenry",
title = "Generalized {Fibonacci} and {Lucas} Polynomials and
Multiplicative Arithmetic Functions",
journal = j-FIB-QUART,
volume = "38",
number = "2",
pages = "167--173",
month = may,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:03 MDT 2011",
bibsource = "http://www.fq.math.ca/38-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-2/machenry.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bradley:2000:GCB,
author = "Sean Bradley",
title = "A Geometric Connection between Generalized {Fibonacci}
Sequences and Nearly Golden Sections",
journal = j-FIB-QUART,
volume = "38",
number = "2",
pages = "174--178",
month = may,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:03 MDT 2011",
bibsource = "http://www.fq.math.ca/38-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-2/bradley.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2000:MGS,
author = "Anonymous",
title = "A Message of Gratitude to {Stanley Rabinowitz}",
journal = j-FIB-QUART,
volume = "38",
number = "2",
pages = "179--??",
month = may,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:03 MDT 2011",
bibsource = "http://www.fq.math.ca/38-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-2/message.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2000:ANIb,
author = "Anonymous",
title = "Announcement: {Ninth International Conference}",
journal = j-FIB-QUART,
volume = "38",
number = "2",
pages = "180--??",
month = may,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:03 MDT 2011",
bibsource = "http://www.fq.math.ca/38-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-2/announcement.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rabinowitz:2000:EPSb,
author = "Stanley Rabinowitz",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "38",
number = "2",
pages = "181--185",
month = may,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:03 MDT 2011",
bibsource = "http://www.fq.math.ca/38-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-2/elementary38-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:2000:APSb,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "38",
number = "2",
pages = "186--193",
month = may,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:03 MDT 2011",
bibsource = "http://www.fq.math.ca/38-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-2/advanced38-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ando:2000:ACT,
author = "Shiro Ando and Daihachiro Sato",
title = "On $p$-adic Complementary Theorems between {Pascal}'s
Triangle and the Modified {Pascal} Triangle",
journal = j-FIB-QUART,
volume = "38",
number = "3",
pages = "194--200",
month = jun,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:05 MDT 2011",
bibsource = "http://www.fq.math.ca/38-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-3/ando.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Williams:2000:NTF,
author = "H. C. Williams",
title = "A Number Theoretic Function Arising from Continued
Fractions",
journal = j-FIB-QUART,
volume = "38",
number = "3",
pages = "201--211",
month = jun,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:05 MDT 2011",
bibsource = "http://www.fq.math.ca/38-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-3/williams.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:2000:URM,
author = "A. F. Horadam",
title = "Uniqueness of Representations by {Morgan--Voyce}
Numbers",
journal = j-FIB-QUART,
volume = "38",
number = "3",
pages = "212--215",
month = jun,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:05 MDT 2011",
bibsource = "http://www.fq.math.ca/38-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-3/horadam1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2000:ANIc,
author = "Anonymous",
title = "Announcement: {Ninth International Conference}",
journal = j-FIB-QUART,
volume = "38",
number = "3",
pages = "216--??",
month = jun,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:05 MDT 2011",
bibsource = "http://www.fq.math.ca/38-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-3/announcement.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Du:2000:OND,
author = "Bau-Sen Du",
title = "Obtaining New Dividing Formulas {$ n|Q(n) $} from the
Known Ones",
journal = j-FIB-QUART,
volume = "38",
number = "3",
pages = "217--222",
month = jun,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:05 MDT 2011",
bibsource = "http://www.fq.math.ca/38-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-3/du.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wenpeng:2000:FND,
author = "Zhang Wenpeng and Yi Yuan",
title = "On the {Fibonacci} Numbers and the {Dedekind} Sums",
journal = j-FIB-QUART,
volume = "38",
number = "3",
pages = "223--226",
month = jun,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:05 MDT 2011",
bibsource = "http://www.fq.math.ca/38-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-3/zhang.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Holte:2000:RGB,
author = "John M. Holte",
title = "Residues of Generalized Binomial Coefficients Modulo a
Prime",
journal = j-FIB-QUART,
volume = "38",
number = "3",
pages = "227--238",
month = jun,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:05 MDT 2011",
bibsource = "http://www.fq.math.ca/38-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-3/holte.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Djordjevic:2000:GJP,
author = "Gospava B. Djordjevi{\'c}",
title = "Generalized {Jacobthal} Polynomials",
journal = j-FIB-QUART,
volume = "38",
number = "3",
pages = "239--243",
month = jun,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:05 MDT 2011",
bibsource = "http://www.fq.math.ca/38-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-3/djordjevic.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Li:2000:CEG,
author = "Hua-Chieh Li",
title = "Conditions for the Existence of Generalized
{Fibonacci} Primitive Roots",
journal = j-FIB-QUART,
volume = "38",
number = "3",
pages = "244--249",
month = jun,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:05 MDT 2011",
bibsource = "http://www.fq.math.ca/38-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-3/li1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Chamberland:2000:FSC,
author = "Marc Chamberland",
title = "Families of Solutions of a Cubic {Diophantine}
Equation",
journal = j-FIB-QUART,
volume = "38",
number = "3",
pages = "250--253",
month = jun,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:05 MDT 2011",
bibsource = "http://www.fq.math.ca/38-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-3/chamberland.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Melham:2000:ASF,
author = "R. S. Melham",
title = "Alternating Sums of Fourth Powers of {Fibonacci} and
{Lucas} Numbers",
journal = j-FIB-QUART,
volume = "38",
number = "3",
pages = "254--259",
month = jun,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:05 MDT 2011",
bibsource = "http://www.fq.math.ca/38-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-3/melham.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:2000:CNV,
author = "A. F. Horadam",
title = "Completion of Numerical Values of Generalized
{Morgan--Voyce} and Related Polynomials",
journal = j-FIB-QUART,
volume = "38",
number = "3",
pages = "260--263",
month = jun,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:05 MDT 2011",
bibsource = "http://www.fq.math.ca/38-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-3/horadam2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Schmerl:2000:RPS,
author = "James H. Schmerl",
title = "A Remark on Parity Sequences",
journal = j-FIB-QUART,
volume = "38",
number = "3",
pages = "264--271",
month = jun,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:05 MDT 2011",
bibsource = "http://www.fq.math.ca/38-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-3/schmerl.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Li:2000:CRR,
author = "Hua-Chieh Li",
title = "Complete and Reduced Residue Systems of Second-Order
Recurrences Modulo $p$",
journal = j-FIB-QUART,
volume = "38",
number = "3",
pages = "272--281",
month = jun,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:05 MDT 2011",
bibsource = "http://www.fq.math.ca/38-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-3/li2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Benjamin:2000:PTG,
author = "Arthur T. Benjamin and Jennifer J. Quinn and Francis
Edward Su",
title = "Phased Tilings and Generalized {Fibonacci}
Identities",
journal = j-FIB-QUART,
volume = "38",
number = "3",
pages = "282--289",
month = jun,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:05 MDT 2011",
bibsource = "http://www.fq.math.ca/38-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-3/benjamin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Tripathi:2000:NS,
author = "Amitabha Tripathi",
title = "The Number of Solutions to $ a x + b y = n $",
journal = j-FIB-QUART,
volume = "38",
number = "4",
pages = "290--293",
month = aug,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:08 MDT 2011",
bibsource = "http://www.fq.math.ca/38-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-4/tripathi.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Melham:2000:SRW,
author = "R. S. Melham",
title = "Summation of Reciprocals which Involve Products of
Terms from Generalized {Fibonacci} Sequences",
journal = j-FIB-QUART,
volume = "38",
number = "4",
pages = "294--298",
month = aug,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:08 MDT 2011",
bibsource = "http://www.fq.math.ca/38-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-4/melham.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Tanton:2000:FNG,
author = "James S. Tanton",
title = "{Fibonacci} Numbers, Generating Sets, and Hexagonal
Properties",
journal = j-FIB-QUART,
volume = "38",
number = "4",
pages = "299--309",
month = aug,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:08 MDT 2011",
bibsource = "http://www.fq.math.ca/38-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-4/tanton.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Filipponi:2000:ECI,
author = "Piero Filipponi",
title = "Evaluation of Certain Infinite Series Involving Terms
of Generalized Sequences",
journal = j-FIB-QUART,
volume = "38",
number = "4",
pages = "310--315",
month = aug,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:08 MDT 2011",
bibsource = "http://www.fq.math.ca/38-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-4/filipponi.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Howard:2000:MLC,
author = "F. T. Howard",
title = "In Memoriam --- {Lenard Carlitz}",
journal = j-FIB-QUART,
volume = "38",
number = "4",
pages = "316--??",
month = aug,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:08 MDT 2011",
bibsource = "http://www.fq.math.ca/38-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-4/howard.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Callan:2000:CIL,
author = "David Callan",
title = "Certificates of Integrality for Linear Binomials",
journal = j-FIB-QUART,
volume = "38",
number = "4",
pages = "317--325",
month = aug,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:08 MDT 2011",
bibsource = "http://www.fq.math.ca/38-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-4/callan.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Motta:2000:CGF,
author = "W. Motta and M. Rachidi and O. Saeki",
title = "Convergent $ \infty $-Generalized {Fibonacci}
Sequences",
journal = j-FIB-QUART,
volume = "38",
number = "4",
pages = "326--333",
month = aug,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:08 MDT 2011",
bibsource = "http://www.fq.math.ca/38-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-4/motta.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Djordjevic:2000:DSG,
author = "Gospava B. Djordjevi{\'c}",
title = "Derivative Sequences of Generalized {Jacobsthal} and
{Jacobsthal--Lucas} Polynomials",
journal = j-FIB-QUART,
volume = "38",
number = "4",
pages = "334--338",
month = aug,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:08 MDT 2011",
bibsource = "http://www.fq.math.ca/38-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-4/djordjevic.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Slavutskii:2000:RPS,
author = "I. Slavutskii",
title = "A Remark on the Paper of {A. Simalarides:
``Congruences Mod $p$'' for the Bernoulli Numbers}",
journal = j-FIB-QUART,
volume = "38",
number = "4",
pages = "339--341",
month = aug,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:08 MDT 2011",
bibsource = "http://www.fq.math.ca/38-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-4/slavutskii.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Dilcher:2000:HFF,
author = "Karl Dilcher",
title = "Hypergeometric Functions and {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "38",
number = "4",
pages = "342--363",
month = aug,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:08 MDT 2011",
bibsource = "http://www.fq.math.ca/38-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-4/dilcher.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Mouline:2000:GFS,
author = "Mehdi Mouline and Mustapha Rachidi",
title = "$ \infty $-Generalized {Fibonacci} Sequences and
{Markov} Chains",
journal = j-FIB-QUART,
volume = "38",
number = "4",
pages = "364--371",
month = aug,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:08 MDT 2011",
bibsource = "http://www.fq.math.ca/38-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-4/mouline.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Euler:2000:EPSa,
author = "Russ Euler and Jawad Sadek",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "38",
number = "4",
pages = "372--376",
month = aug,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:08 MDT 2011",
bibsource = "http://www.fq.math.ca/38-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-4/elementary38-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:2000:APSc,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "38",
number = "4",
pages = "377--385",
month = aug,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:08 MDT 2011",
bibsource = "http://www.fq.math.ca/38-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-4/advanced38-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{ElWahbi:2000:GFS,
author = "Bouaza {El Wahbi} and Mustapha Rachidi",
title = "$r$-Generalized {Fibonacci} Sequences and the Linear
Moment Problem",
journal = j-FIB-QUART,
volume = "38",
number = "5",
pages = "386--393",
month = nov,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:10 MDT 2011",
bibsource = "http://www.fq.math.ca/38-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-5/el-wahbi.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ribble:2000:MHT,
author = "Margie Ribble",
title = "In Memoriam --- {Herta Taussig Freitag}",
journal = j-FIB-QUART,
volume = "38",
number = "5",
pages = "394--??",
month = nov,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:10 MDT 2011",
bibsource = "http://www.fq.math.ca/38-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-5/in-memoriam.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Halbeisen:2000:DFC,
author = "Lorenz Halbeisen and Norbert Hungerb{\"u}hler",
title = "Dual Form of Combinatorial Problems and {Laplace}
Techniques",
journal = j-FIB-QUART,
volume = "38",
number = "5",
pages = "395--407",
month = nov,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:10 MDT 2011",
bibsource = "http://www.fq.math.ca/38-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-5/halbeisen.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lang:2000:PRP,
author = "Wolfdieter Lang",
title = "On Polynomials Related to Powers of the Generating
Function of {Catalan}'s Numbers",
journal = j-FIB-QUART,
volume = "38",
number = "5",
pages = "408--419",
month = nov,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:10 MDT 2011",
bibsource = "http://www.fq.math.ca/38-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-5/lang.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Zhao:2000:ISI,
author = "Feng-Zhen Zhao",
title = "The Integrity of Some Infinite Series",
journal = j-FIB-QUART,
volume = "38",
number = "5",
pages = "420--424",
month = nov,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:10 MDT 2011",
bibsource = "http://www.fq.math.ca/38-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-5/zhao.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Chuan:2000:EPP,
author = "Wai-Fong Chuan and Fei Yu",
title = "Extraction Problem of the {Pell} Sequence",
journal = j-FIB-QUART,
volume = "38",
number = "5",
pages = "425--431",
month = nov,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:10 MDT 2011",
bibsource = "http://www.fq.math.ca/38-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-5/chuan1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Chuan:2000:SFW,
author = "Wai-Fong Chuan and Chih-Hao Chang and Yen-Liang
Chang",
title = "Suffixes of {Fibonacci} Word Patterns",
journal = j-FIB-QUART,
volume = "38",
number = "5",
pages = "432--439",
month = nov,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:10 MDT 2011",
bibsource = "http://www.fq.math.ca/38-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-5/chuan2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Haukkanen:2000:ACA,
author = "Pentti Haukkanen",
title = "On the $k$-ary Convolution of Arithmetical Functions",
journal = j-FIB-QUART,
volume = "38",
number = "5",
pages = "440--445",
month = nov,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:10 MDT 2011",
bibsource = "http://www.fq.math.ca/38-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-5/haukkanen.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Melham:2000:ODC,
author = "R. S. Melham",
title = "On an Observation of {D'Ocagne} Concerning the
Fundamental Sequence",
journal = j-FIB-QUART,
volume = "38",
number = "5",
pages = "446--450",
month = nov,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:10 MDT 2011",
bibsource = "http://www.fq.math.ca/38-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-5/melham.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:2000:CSP,
author = "A. F. Horadam",
title = "Convolution Summations for {Pell} and {Pell--Lucas}
Numbers",
journal = j-FIB-QUART,
volume = "38",
number = "5",
pages = "451--462",
month = nov,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:10 MDT 2011",
bibsource = "http://www.fq.math.ca/38-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-5/horadam.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Stinchcombe:2000:LE,
author = "Adam Stinchcombe",
title = "Letter to the Editor",
journal = j-FIB-QUART,
volume = "38",
number = "5",
pages = "463--??",
month = nov,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:10 MDT 2011",
bibsource = "http://www.fq.math.ca/38-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-5/stinchcombe.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kihel:2000:ES,
author = "Omar Kihel",
title = "On the Extendibility of the Set {1, 2, 5}",
journal = j-FIB-QUART,
volume = "38",
number = "5",
pages = "464--466",
month = nov,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:10 MDT 2011",
bibsource = "http://www.fq.math.ca/38-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-5/kihel.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Euler:2000:EPSb,
author = "Russ Euler and Jawad Sadek",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "38",
number = "5",
pages = "467--472",
month = nov,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:10 MDT 2011",
bibsource = "http://www.fq.math.ca/38-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-5/elementary38-5.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:2000:APSd,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "38",
number = "5",
pages = "473--478",
month = nov,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:10 MDT 2011",
bibsource = "http://www.fq.math.ca/38-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-5/advanced38-5.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2000:VI,
author = "Anonymous",
title = "Volume Index",
journal = j-FIB-QUART,
volume = "38",
number = "5",
pages = "479--??",
month = nov,
year = "2000",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:10 MDT 2011",
bibsource = "http://www.fq.math.ca/38-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/38-5/index.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2001:R,
author = "Anonymous",
title = "Referees",
journal = j-FIB-QUART,
volume = "39",
number = "1",
pages = "2--??",
month = feb,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:12 MDT 2011",
bibsource = "http://www.fq.math.ca/39-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-1/referees.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Phillips:2001:RNI,
author = "George M. Phillips",
title = "Report on the {Ninth International Conference}",
journal = j-FIB-QUART,
volume = "39",
number = "1",
pages = "3--??",
month = feb,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:12 MDT 2011",
bibsource = "http://www.fq.math.ca/39-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-1/phillips.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cohen:2001:HSE,
author = "G. L. Cohen and R. M. Sorli",
title = "Harmonic Seeds: Errata",
journal = j-FIB-QUART,
volume = "39",
number = "1",
pages = "4--??",
month = feb,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:12 MDT 2011",
bibsource = "http://www.fq.math.ca/39-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-1/errata.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wahbi:2001:GFS,
author = "Bouazza Ell Wahbi and Mustapha Rachidi",
title = "On $r$-Generalized {Fibonacci} Sequences and
{Hausdorff} Moment Problems",
journal = j-FIB-QUART,
volume = "39",
number = "1",
pages = "5--11",
month = feb,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:12 MDT 2011",
bibsource = "http://www.fq.math.ca/39-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-1/el-wahbi.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Munarini:2001:LC,
author = "E. Munarini and C. P. Cippo and N. Z. Salvi",
title = "On the {Lucas} Cubes",
journal = j-FIB-QUART,
volume = "39",
number = "1",
pages = "12--21",
month = feb,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:12 MDT 2011",
bibsource = "http://www.fq.math.ca/39-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-1/munarini.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Taher:2001:AAR,
author = "Rajae Ben Taher and Mustapha Rachidi",
title = "Application of the $ \beta $-Algorithm to the Ratios
of $r$-Generalized {Fibonacci} Sequences",
journal = j-FIB-QUART,
volume = "39",
number = "1",
pages = "22--26",
month = feb,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:12 MDT 2011",
bibsource = "http://www.fq.math.ca/39-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-1/ben-taher.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Herceg:2001:ZNI,
author = "D. Herceg and H. Mali{\v{c}}i{\'c} and I. Liki{\'c}",
title = "The {Zeckendorf} Numbers and the Inverses of Some Band
Matrices",
journal = j-FIB-QUART,
volume = "39",
number = "1",
pages = "27--31",
month = feb,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:12 MDT 2011",
bibsource = "http://www.fq.math.ca/39-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-1/herceg.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gilbert:2001:FDQ,
author = "C. L. Gilbert and J. D. Kolesar and C. A. Reiter and
J. D. Storey",
title = "Function Digraphs of Quadrative Maps Modulo $p$",
journal = j-FIB-QUART,
volume = "39",
number = "1",
pages = "32--49",
month = feb,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:12 MDT 2011",
bibsource = "http://www.fq.math.ca/39-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-1/gilbert.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Fox:2001:CRR,
author = "Glenn J. Fox",
title = "Congruences Relating Rational Values of {Bernoulli}
and {Euler} Polynomials",
journal = j-FIB-QUART,
volume = "39",
number = "1",
pages = "50--57",
month = feb,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:12 MDT 2011",
bibsource = "http://www.fq.math.ca/39-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-1/fox.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Nyblom:2001:SFD,
author = "M. A. Nyblom and B. G. Sloss",
title = "On the solvability of a Family of {Diophantine}
Equations",
journal = j-FIB-QUART,
volume = "39",
number = "1",
pages = "58--65",
month = feb,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:12 MDT 2011",
bibsource = "http://www.fq.math.ca/39-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-1/nyblom.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Komatsu:2001:PSI,
author = "Takao Komatsu",
title = "On Palindromic Sequences from Irrational Numbers",
journal = j-FIB-QUART,
volume = "39",
number = "1",
pages = "66--74",
month = feb,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:12 MDT 2011",
bibsource = "http://www.fq.math.ca/39-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-1/komatsu.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Fielder:2001:FTS,
author = "D. C. Fielder and M. Bicknell-Johnson",
title = "The First 330 Terms of Sequence {A013583}",
journal = j-FIB-QUART,
volume = "39",
number = "1",
pages = "75--84",
month = feb,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:12 MDT 2011",
bibsource = "http://www.fq.math.ca/39-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-1/fielder.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Euler:2001:EPSa,
author = "Russ Euler and Jawad Sadek",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "39",
number = "1",
pages = "85--90",
month = feb,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:12 MDT 2011",
bibsource = "http://www.fq.math.ca/39-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-1/elementary39-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:2001:APSa,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "39",
number = "1",
pages = "91--97",
month = feb,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:12 MDT 2011",
bibsource = "http://www.fq.math.ca/39-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-1/advanced39-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kihel:2001:SWP,
author = "Abdelkrim Kihel and Omar Kihel",
title = "Sets in Which the Product of Any {$K$} Elements
Increased by $t$ Is a $k$ th Power",
journal = j-FIB-QUART,
volume = "39",
number = "2",
pages = "98--100",
month = may,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:14 MDT 2011",
bibsource = "http://www.fq.math.ca/39-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-2/kihel.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Shattuck:2001:DRS,
author = "Steven Shattuck and Curtis Cooper",
title = "Divergent {RATS} Sequences",
journal = j-FIB-QUART,
volume = "39",
number = "2",
pages = "101--106",
month = may,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:14 MDT 2011",
bibsource = "http://www.fq.math.ca/39-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-2/shattuck.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Elia:2001:DST,
author = "Michele Elia",
title = "Derived Sequences, the {Tribonacci} Recurrence and
Cubic Forms",
journal = j-FIB-QUART,
volume = "39",
number = "2",
pages = "107--115",
month = may,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:14 MDT 2011",
bibsource = "http://www.fq.math.ca/39-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-2/elia.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:2001:MVP,
author = "Alwyn F. Horadam and Piero Filipponi",
title = "{Morgan--Voyce} Polynomial Derivative Sequences",
journal = j-FIB-QUART,
volume = "39",
number = "2",
pages = "116--122",
month = may,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:14 MDT 2011",
bibsource = "http://www.fq.math.ca/39-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-2/horadam.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Sanchis:2001:FOE,
author = "Gabriela R. Sanchis and Laura A. Sanchis",
title = "On the Frequency of Occurrence of $ \alpha^i $ in the
$ \alpha $-Expansions of the Positive Integers",
journal = j-FIB-QUART,
volume = "39",
number = "2",
pages = "123--137",
month = may,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:14 MDT 2011",
bibsource = "http://www.fq.math.ca/39-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-2/sanchis.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Djordjevic:2001:SPP,
author = "Gospava B. Djordjevi{\'c}",
title = "Some Properties of Partial Derivatives of Generalized
{Fibonacci} and {Lucas} Polynomials",
journal = j-FIB-QUART,
volume = "39",
number = "2",
pages = "138--141",
month = may,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:14 MDT 2011",
bibsource = "http://www.fq.math.ca/39-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-2/djordjevic.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Frey:2001:GBG,
author = "Darrin D. Frey and James A. Sellers",
title = "Generalizing {Bailey}'s Generalization of the
{Catalan} Numbers",
journal = j-FIB-QUART,
volume = "39",
number = "2",
pages = "142--148",
month = may,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:14 MDT 2011",
bibsource = "http://www.fq.math.ca/39-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-2/frey.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Nyblom:2001:IVS,
author = "M. A. Nyblom",
title = "On Irrational Valued Series Involving Generalized
{Fibonacci} Numbers {II}",
journal = j-FIB-QUART,
volume = "39",
number = "2",
pages = "149--157",
month = may,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:14 MDT 2011",
bibsource = "http://www.fq.math.ca/39-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-2/nyblom.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lee:2001:BFR,
author = "Gwang-Yeon Lee and Sang-Gu Lee and Jin-Soo Kim and
Hang-Kyun Shin",
title = "The {Binet} Formula and Representations of
$k$-Generalized {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "39",
number = "2",
pages = "158--164",
month = may,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:14 MDT 2011",
bibsource = "http://www.fq.math.ca/39-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-2/lee.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Zhao:2001:GSI,
author = "Fengzhen Zhao and Tianming Wang",
title = "Generalizations of Some Identities Involving the
{Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "39",
number = "2",
pages = "165--167",
month = may,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:14 MDT 2011",
bibsource = "http://www.fq.math.ca/39-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "See errata \cite{Zhao:2001:EGS}.",
URL = "http://www.fq.math.ca/Scanned/39-2/zhao.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bernoussi:2001:AIG,
author = "B. Bernoussi and W. Motta and M. Rachidi and O.
Saeki",
title = "Approximation of Infinite Generalized {Fibonacci}
Sequences and Their Asymptotic {Binet} Formula",
journal = j-FIB-QUART,
volume = "39",
number = "2",
pages = "168--180",
month = may,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:14 MDT 2011",
bibsource = "http://www.fq.math.ca/39-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-2/bernoussi.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Euler:2001:EPSb,
author = "Russ Euler and Jawad Sadek",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "39",
number = "2",
pages = "181--186",
month = may,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:14 MDT 2011",
bibsource = "http://www.fq.math.ca/39-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-2/elementary39-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:2001:APSb,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "39",
number = "2",
pages = "187--193",
month = may,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:14 MDT 2011",
bibsource = "http://www.fq.math.ca/39-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-2/advanced39-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lee:2001:SBL,
author = "Jack Y. Lee",
title = "Some Basic Line-Sequential Properties of Polynomials
Line-Sequences",
journal = j-FIB-QUART,
volume = "39",
number = "3",
pages = "194--205",
month = jun,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:16 MDT 2011",
bibsource = "http://www.fq.math.ca/39-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-3/lee.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{McDaniel:2001:FLN,
author = "Wayne L. McDaniel",
title = "On the Factorization of {Lucas} Numbers",
journal = j-FIB-QUART,
volume = "39",
number = "3",
pages = "206--210",
month = jun,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:16 MDT 2011",
bibsource = "http://www.fq.math.ca/39-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-3/mcdaniel.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Stevanovic:2001:NMI,
author = "Dragan Stevanovi{\'c}",
title = "In the Number of Maximal Independent Set of Vertices
in Star-Like Ladders",
journal = j-FIB-QUART,
volume = "39",
number = "3",
pages = "211--213",
month = jun,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:16 MDT 2011",
bibsource = "http://www.fq.math.ca/39-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-3/stevanovic.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hu:2001:RSS,
author = "Hong Hu and Zhi-Wei Sun and Jian-Xin Liu",
title = "Reciprocal Sums of Second-Order Recurrent Sequences",
journal = j-FIB-QUART,
volume = "39",
number = "3",
pages = "214--220",
month = jun,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:16 MDT 2011",
bibsource = "http://www.fq.math.ca/39-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-3/hu.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Pihko:2001:RGO,
author = "Jukka Pihko",
title = "Remarks on the ``Greedy Odd'' {Egyptian} Fraction
Algorithm",
journal = j-FIB-QUART,
volume = "39",
number = "3",
pages = "221--227",
month = jun,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:16 MDT 2011",
bibsource = "http://www.fq.math.ca/39-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-3/pihko.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Zhang:2001:ULS,
author = "Zhenxiang Zhang",
title = "Using {Lucas} Sequences to Factor Large Integers Near
Group Orders",
journal = j-FIB-QUART,
volume = "39",
number = "3",
pages = "228--237",
month = jun,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:16 MDT 2011",
bibsource = "http://www.fq.math.ca/39-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-3/zhang.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Nagy:2001:RPC,
author = "Judit Nagy",
title = "Rational Points in {Cantor} Sets",
journal = j-FIB-QUART,
volume = "39",
number = "3",
pages = "238--241",
month = jun,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:16 MDT 2011",
bibsource = "http://www.fq.math.ca/39-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-3/nagy.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Deshpande:2001:DTP,
author = "M. N. Deshpande and Ezra Brown",
title = "{Diophantine} Triplets and the {Pell} Sequence",
journal = j-FIB-QUART,
volume = "39",
number = "3",
pages = "242--249",
month = jun,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:16 MDT 2011",
bibsource = "http://www.fq.math.ca/39-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-3/deshpande.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Englund:2001:ADS,
author = "David A. Englund",
title = "An Algorithm for Determining {$ R(N) $} from the
Subscripts of the {Zeckendorf} Representation of
{$N$}",
journal = j-FIB-QUART,
volume = "39",
number = "3",
pages = "250--252",
month = jun,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:16 MDT 2011",
bibsource = "http://www.fq.math.ca/39-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-3/englund.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Grundman:2001:ARN,
author = "H. G. Grundman",
title = "An Analysis of $n$-{Riven} Numbers",
journal = j-FIB-QUART,
volume = "39",
number = "3",
pages = "253--255",
month = jun,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:16 MDT 2011",
bibsource = "http://www.fq.math.ca/39-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-3/grundman.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
xxtitle = "An Analysis of $n$-{Niven} Numbers",
}
@Article{Nyblom:2001:RID,
author = "M. A. Nyblom",
title = "On the Representation of the Integers as a Difference
of Nonconsecutive Triangular Numbers",
journal = j-FIB-QUART,
volume = "39",
number = "3",
pages = "256--263",
month = jun,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:16 MDT 2011",
bibsource = "http://www.fq.math.ca/39-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-3/nyblom.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Melham:2001:SRW,
author = "R. S. Melham",
title = "Summation of Reciprocals Which Involve Products of
Terms from Generalized {Fibonacci} Sequences --- {Part
II}",
journal = j-FIB-QUART,
volume = "39",
number = "3",
pages = "264--267",
month = jun,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:16 MDT 2011",
bibsource = "http://www.fq.math.ca/39-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-3/melham.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Richardson:2001:FM,
author = "Thomas M. Richardson",
title = "The {Filbert} Matrix",
journal = j-FIB-QUART,
volume = "39",
number = "3",
pages = "268--275",
month = jun,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:16 MDT 2011",
bibsource = "http://www.fq.math.ca/39-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-3/richardson.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ewell:2001:ADE,
author = "John A. Ewell",
title = "Algorithmic Determination of the Enumerator for Sums
of Three Triangular Numbers",
journal = j-FIB-QUART,
volume = "39",
number = "3",
pages = "276--278",
month = jun,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:16 MDT 2011",
bibsource = "http://www.fq.math.ca/39-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-3/ewell.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Liu:2001:ICI,
author = "Guodong Liu",
title = "Identities and Congruences Involving Higher-Order
{Euler--Bernoulli} Numbers and Polynomials",
journal = j-FIB-QUART,
volume = "39",
number = "3",
pages = "279--284",
month = jun,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:16 MDT 2011",
bibsource = "http://www.fq.math.ca/39-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-3/liu.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Momiyama:2001:NRF,
author = "Harunobu Momiyama",
title = "A New Recurrence Formula for {Bernoulli} Numbers",
journal = j-FIB-QUART,
volume = "39",
number = "3",
pages = "285--289",
month = jun,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:16 MDT 2011",
bibsource = "http://www.fq.math.ca/39-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-3/momiyama.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cerruti:2001:CNS,
author = "Umberto Cerruti and Gabriella Margaria",
title = "Counting the Number of Solutions of Equations in
Groups by Recurrences",
journal = j-FIB-QUART,
volume = "39",
number = "4",
pages = "290--298",
month = aug,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:18 MDT 2011",
bibsource = "http://www.fq.math.ca/39-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-4/cerruti.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Prasad:2001:PNA,
author = "V. Siva Rama Prasad and B. Srinivasa Rao",
title = "Pentagonal Numbers in the Associated {Pell} Sequences
and {Diophantine} Equations $ x^2 (3 x - 1)^2 = 8 y^2
\pm 4 $",
journal = j-FIB-QUART,
volume = "39",
number = "4",
pages = "299--303",
month = aug,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:18 MDT 2011",
bibsource = "http://www.fq.math.ca/39-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-4/prasad.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Franco:2001:DCC,
author = "B. J. O. Franco and Ant{\^o}nio Zumpano",
title = "Divisibility of the Coefficients of {Chebyshev}
Polynomials by Primes",
journal = j-FIB-QUART,
volume = "39",
number = "4",
pages = "304--308",
month = aug,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:18 MDT 2011",
bibsource = "http://www.fq.math.ca/39-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-4/franco.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Levy:2001:IFF,
author = "Dan Levy",
title = "The Irreducible Factorization of {Fibonacci}
Polynomials Over {$Q$}",
journal = j-FIB-QUART,
volume = "39",
number = "4",
pages = "309--319",
month = aug,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:18 MDT 2011",
bibsource = "http://www.fq.math.ca/39-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-4/levy.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Chastkofsky:2001:SEA,
author = "Leonard Chastkofsky",
title = "The Subtractive {Euclidean} Algorithm and {Fibonacci}
Numbers",
journal = j-FIB-QUART,
volume = "39",
number = "4",
pages = "320--323",
month = aug,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:18 MDT 2011",
bibsource = "http://www.fq.math.ca/39-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-4/chastkofsky.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Sun:2001:ISU,
author = "Zhi-Hong Sun",
title = "Invariant Sequences Under Binomial Transformation",
journal = j-FIB-QUART,
volume = "39",
number = "4",
pages = "324--333",
month = aug,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:18 MDT 2011",
bibsource = "http://www.fq.math.ca/39-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-4/sun1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Puchta:2001:NDF,
author = "Jan-Christoph Puchta",
title = "The Number of $k$-Digit {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "39",
number = "4",
pages = "334--335",
month = aug,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:18 MDT 2011",
bibsource = "http://www.fq.math.ca/39-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-4/puchta.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Komatsu:2001:CFN,
author = "Takao Komatsu",
title = "Continued Fractions and {Newton}'s Approximations,
{II}",
journal = j-FIB-QUART,
volume = "39",
number = "4",
pages = "336--338",
month = aug,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:18 MDT 2011",
bibsource = "http://www.fq.math.ca/39-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-4/komatsu.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Sun:2001:LRS,
author = "Zhi-Hong Sun",
title = "Linear Recursive Sequences and the Powers of
Matrices",
journal = j-FIB-QUART,
volume = "39",
number = "4",
pages = "339--351",
month = aug,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:18 MDT 2011",
bibsource = "http://www.fq.math.ca/39-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-4/sun2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Howard:2001:TI,
author = "F. T. Howard",
title = "A {Tribonacci} Identity",
journal = j-FIB-QUART,
volume = "39",
number = "4",
pages = "352--357",
month = aug,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:18 MDT 2011",
bibsource = "http://www.fq.math.ca/39-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-4/howard1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Howard:2001:PDC,
author = "F. T. Howard",
title = "The Power of $2$ Dividing the Coefficients of Certain
Power Series",
journal = j-FIB-QUART,
volume = "39",
number = "4",
pages = "358--364",
month = aug,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:18 MDT 2011",
bibsource = "http://www.fq.math.ca/39-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-4/howard2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kimberling:2001:SNA,
author = "Clark Kimberling",
title = "Symbiotic Numbers Associated with Irrational Numbers",
journal = j-FIB-QUART,
volume = "39",
number = "4",
pages = "365--372",
month = aug,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:18 MDT 2011",
bibsource = "http://www.fq.math.ca/39-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-4/kimberling.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Euler:2001:EPSc,
author = "Russ Euler and Jawad Sadek",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "39",
number = "4",
pages = "373--377",
month = aug,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:18 MDT 2011",
bibsource = "http://www.fq.math.ca/39-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-4/elementary39-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:2001:APSc,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "39",
number = "4",
pages = "378--383",
month = aug,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:18 MDT 2011",
bibsource = "http://www.fq.math.ca/39-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-4/advanced39-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2001:ATIa,
author = "Anonymous",
title = "Announcement of the {Tenth International Conference on
Fibonacci Numbers and Their Applications}",
journal = j-FIB-QUART,
volume = "39",
number = "4",
pages = "384--385",
month = aug,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:18 MDT 2011",
bibsource = "http://www.fq.math.ca/39-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-4/announcement.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Boase:2001:RAP,
author = "Mansur S. Boase",
title = "A Result About the Primes Dividing {Fibonacci}
Numbers",
journal = j-FIB-QUART,
volume = "39",
number = "5",
pages = "386--391",
month = nov,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:20 MDT 2011",
bibsource = "http://www.fq.math.ca/39-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-5/boase.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Zhao:2001:SCR,
author = "Fengzhen Zhao",
title = "Summation of Certain Reciprocal Series Related to the
Generalized {Fibonacci} and {Lucas} Numbers",
journal = j-FIB-QUART,
volume = "39",
number = "5",
pages = "392--397",
month = nov,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:20 MDT 2011",
bibsource = "http://www.fq.math.ca/39-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-5/zhao1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Puri:2001:DPU,
author = "Yash Puri and Thomas Ward",
title = "A Dynamical Property Unique to the {Lucas} Sequence",
journal = j-FIB-QUART,
volume = "39",
number = "5",
pages = "398--402",
month = nov,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:20 MDT 2011",
bibsource = "http://www.fq.math.ca/39-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-5/puri.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Djordjevic:2001:GLP,
author = "Gospava B. Djordjevi{\'c}",
title = "On the Generalized {Laguerre} Polynomials",
journal = j-FIB-QUART,
volume = "39",
number = "5",
pages = "403--407",
month = nov,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:20 MDT 2011",
bibsource = "http://www.fq.math.ca/39-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-5/djordjevic.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Zhao:2001:EGS,
author = "Fengzhen Zhao and Tianming Wang",
title = "Errata for {``Generalizations of Some Identities
Involving the Fibonacci Numbers''}",
journal = j-FIB-QUART,
volume = "39",
number = "5",
pages = "408--??",
month = nov,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:20 MDT 2011",
bibsource = "http://www.fq.math.ca/39-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "See \cite{Zhao:2001:GSI}.",
URL = "http://www.fq.math.ca/Scanned/39-5/errata.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Navas:2001:ACF,
author = "Luis Navas",
title = "Analytic Continuation of the {Fibonacci} {Dirichlet}
Series",
journal = j-FIB-QUART,
volume = "39",
number = "5",
pages = "409--418",
month = nov,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:20 MDT 2011",
bibsource = "http://www.fq.math.ca/39-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-5/navas.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lee:2001:SGF,
author = "Jack Y. Lee",
title = "Some General Formulas Associated with the Second-Order
Homogeneous Polynomial Line-Sequences",
journal = j-FIB-QUART,
volume = "39",
number = "5",
pages = "419--429",
month = nov,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:20 MDT 2011",
bibsource = "http://www.fq.math.ca/39-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-5/lee.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kimberling:2001:EPC,
author = "Clark Kimberling",
title = "Enumeration of Paths, Compositions of Integers, and
{Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "39",
number = "5",
pages = "430--435",
month = nov,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:20 MDT 2011",
bibsource = "http://www.fq.math.ca/39-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-5/kimberling.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Zhao:2001:SIG,
author = "Fengzhen Zhao and Tianming Wang",
title = "Some Identities for the Generalized {Fibonacci} and
{Lucas} Functions",
journal = j-FIB-QUART,
volume = "39",
number = "5",
pages = "436--438",
month = nov,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:20 MDT 2011",
bibsource = "http://www.fq.math.ca/39-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-5/zhao2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Yabuta:2001:SPC,
author = "Minoru Yabuta",
title = "A Simple Proof of {Carmichael}'s Theorem on Primitive
Divisors",
journal = j-FIB-QUART,
volume = "39",
number = "5",
pages = "439--443",
month = nov,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:20 MDT 2011",
bibsource = "http://www.fq.math.ca/39-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-5/yabuta.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gessel:2001:OSN,
author = "Ira M. Gessel and Tam{\'a}s Lengyel",
title = "On the Order of {Stirling} Numbers and Alternating
Binomial Coefficient Sums",
journal = j-FIB-QUART,
volume = "39",
number = "5",
pages = "444--454",
month = nov,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:20 MDT 2011",
bibsource = "http://www.fq.math.ca/39-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-5/gessel.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bicknell-Johnson:2001:LNH,
author = "Marjorie Bicknell-Johnson and Daniel C. Fielder",
title = "The Least Number Having 331 Representations as a Sum
of Distinct {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "39",
number = "5",
pages = "455--461",
month = nov,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:20 MDT 2011",
bibsource = "http://www.fq.math.ca/39-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-5/bicknell.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Grundman:2001:GHN,
author = "H. G. Grundman and E. A. Teeple",
title = "Generalized Happy Numbers",
journal = j-FIB-QUART,
volume = "39",
number = "5",
pages = "462--466",
month = nov,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:20 MDT 2011",
bibsource = "http://www.fq.math.ca/39-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-5/grundman.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Euler:2001:EPSd,
author = "Russ Euler and Jawad Sadek",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "39",
number = "5",
pages = "467--472",
month = nov,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:20 MDT 2011",
bibsource = "http://www.fq.math.ca/39-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-5/elementary39-5.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:2001:APSd,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "39",
number = "5",
pages = "473--477",
month = nov,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:20 MDT 2011",
bibsource = "http://www.fq.math.ca/39-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-5/advanced39-5.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2001:ATIb,
author = "Anonymous",
title = "Announcement of the {Tenth International Conference on
Fibonacci Numbers and Their Applications}",
journal = j-FIB-QUART,
volume = "39",
number = "5",
pages = "478--??",
month = nov,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:20 MDT 2011",
bibsource = "http://www.fq.math.ca/39-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-5/announcement.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2001:VI,
author = "Anonymous",
title = "Volume Index",
journal = j-FIB-QUART,
volume = "39",
number = "5",
pages = "479--??",
month = nov,
year = "2001",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:20 MDT 2011",
bibsource = "http://www.fq.math.ca/39-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/39-5/index.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2002:R,
author = "Anonymous",
title = "Referees",
journal = j-FIB-QUART,
volume = "40",
number = "1",
pages = "2--??",
month = feb,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:31 MDT 2011",
bibsource = "http://www.fq.math.ca/40-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-1/referees.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Woan:2002:CPR,
author = "Wen-Jin Woan",
title = "A Combinatorial Proof of a Recursive Relation of the
{Motzkin} Sequence by Lattice Paths",
journal = j-FIB-QUART,
volume = "40",
number = "1",
pages = "3--8",
month = feb,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:31 MDT 2011",
bibsource = "http://www.fq.math.ca/40-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-1/woan.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Szalay:2002:REU,
author = "L{\'a}szl{\'o} Szalay",
title = "On the Resolution of the Equation {$ U_n = \binom (x,
3) $} and {$ V_n = \binom (x, 3) $}",
journal = j-FIB-QUART,
volume = "40",
number = "1",
pages = "9--12",
month = feb,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:31 MDT 2011",
bibsource = "http://www.fq.math.ca/40-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-1/szalay.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Toth:2002:PPI,
author = "L{\'a}szl{\'o} T{\'o}th",
title = "The Probability that $k$ Positive Integers Are
Pairwise Relatively Prime",
journal = j-FIB-QUART,
volume = "40",
number = "1",
pages = "13--18",
month = feb,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:31 MDT 2011",
bibsource = "http://www.fq.math.ca/40-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-1/toth.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wenchang:2002:SBC,
author = "Chu Wenchang",
title = "Some Binomial Convolution Formulas",
journal = j-FIB-QUART,
volume = "40",
number = "1",
pages = "19--32",
month = feb,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:31 MDT 2011",
bibsource = "http://www.fq.math.ca/40-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-1/chu.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Young:2002:MDP,
author = "Paul Thomas Young",
title = "On Modified {Dickson} Polynomials",
journal = j-FIB-QUART,
volume = "40",
number = "1",
pages = "33--40",
month = feb,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:31 MDT 2011",
bibsource = "http://www.fq.math.ca/40-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-1/young.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{McDaniel:2002:FPN,
author = "Wayne L. McDaniel",
title = "On {Fibonacci} and {Pell} Numbers of the Form kx 2",
journal = j-FIB-QUART,
volume = "40",
number = "1",
pages = "41--42",
month = feb,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:31 MDT 2011",
bibsource = "http://www.fq.math.ca/40-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-1/mcdaniel.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Andaloro:2002:PDG,
author = "Paul J. Andaloro",
title = "The $ 3 x + 1 $ Problem and Directed Graphs",
journal = j-FIB-QUART,
volume = "40",
number = "1",
pages = "43--54",
month = feb,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:31 MDT 2011",
bibsource = "http://www.fq.math.ca/40-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-1/andaloro.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gauthier:2002:BRB,
author = "Napoleon Gauthier",
title = "Book Review: {{\booktitle{Fibonacci and Lucas Numbers
with Applications}}, by Thomas Koshy}",
journal = j-FIB-QUART,
volume = "40",
number = "1",
pages = "55--??",
month = feb,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:31 MDT 2011",
bibsource = "http://www.fq.math.ca/40-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "See \cite{Koshy:2001:FLN}.",
URL = "http://www.fq.math.ca/Scanned/40-1/review.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Robbins:2002:APT,
author = "Neville Robbins",
title = "An Alternate Proof of a Theorem of {J. Ewell}",
journal = j-FIB-QUART,
volume = "40",
number = "1",
pages = "56--??",
month = feb,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:31 MDT 2011",
bibsource = "http://www.fq.math.ca/40-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-1/robbins1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Robbins:2002:NPE,
author = "Neville Robbins",
title = "On the Number of Partitions into an Even and Odd
Number of Parts",
journal = j-FIB-QUART,
volume = "40",
number = "1",
pages = "57--58",
month = feb,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:31 MDT 2011",
bibsource = "http://www.fq.math.ca/40-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-1/robbins2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lee:2002:MVP,
author = "Jack Y. Lee",
title = "On the {Morgan--Voyce} Polynomial Generalization of
the First Kind",
journal = j-FIB-QUART,
volume = "40",
number = "1",
pages = "59--65",
month = feb,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:31 MDT 2011",
bibsource = "http://www.fq.math.ca/40-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-1/lee.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Puchta:2002:RNN,
author = "Jan-Christoph Puchta",
title = "Representation of Numbers with Negative Digits and
Multiplication of Small Integers",
journal = j-FIB-QUART,
volume = "40",
number = "1",
pages = "66--67",
month = feb,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:31 MDT 2011",
bibsource = "http://www.fq.math.ca/40-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-1/puchta1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Puchta:2002:DT,
author = "Jan-Christoph Puchta",
title = "On the Distribution of Totients",
journal = j-FIB-QUART,
volume = "40",
number = "1",
pages = "68--70",
month = feb,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:31 MDT 2011",
bibsource = "http://www.fq.math.ca/40-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-1/puchta2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Melham:2002:RFS,
author = "R. S. Melham",
title = "Reduction Formulas for the Summation of Reciprocals in
Certain Second-Order Recurring Sequences",
journal = j-FIB-QUART,
volume = "40",
number = "1",
pages = "71--75",
month = feb,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:31 MDT 2011",
bibsource = "http://www.fq.math.ca/40-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-1/melham.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2002:CBC,
author = "Florian Luca",
title = "Consecutive Binomial Coefficients in {Pythagorean}
Triples and Squares in the {Fibonacci} Sequences",
journal = j-FIB-QUART,
volume = "40",
number = "1",
pages = "76--78",
month = feb,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:31 MDT 2011",
bibsource = "http://www.fq.math.ca/40-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-1/luca.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Taher:2002:SSG,
author = "R. B. Taher and M. Mouline and M. Rachidi",
title = "Solving Some General Nonhomogeneous Recurrence
Relations of Order $r$ by a Linearization Method and an
Application to Polynomial and Factorial Polynomial
Cases",
journal = j-FIB-QUART,
volume = "40",
number = "1",
pages = "79--84",
month = feb,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:31 MDT 2011",
bibsource = "http://www.fq.math.ca/40-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-1/ben-taher.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Euler:2002:EPSa,
author = "Russ Euler and Jawad Sadek",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "40",
number = "1",
pages = "85--89",
month = feb,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:31 MDT 2011",
bibsource = "http://www.fq.math.ca/40-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-1/elementary40-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2002:ATI,
author = "Anonymous",
title = "Announcement of the {Tenth International Conference on
Fibonacci Numbers and Their Applications}",
journal = j-FIB-QUART,
volume = "40",
number = "1",
pages = "90--??",
month = feb,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:31 MDT 2011",
bibsource = "http://www.fq.math.ca/40-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-1/announcement.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:2002:APSa,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "40",
number = "1",
pages = "91--97",
month = feb,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:31 MDT 2011",
bibsource = "http://www.fq.math.ca/40-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-1/advanced40-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:2002:MVC,
author = "A. F. Horadam",
title = "{Morgan--Voyce} Convolutions",
journal = j-FIB-QUART,
volume = "40",
number = "2",
pages = "98--105",
month = may,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:33 MDT 2011",
bibsource = "http://www.fq.math.ca/40-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-2/horadam.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{ElWahbi:2002:SNR,
author = "Bouazza {El Wahbi} and Mehdi Mouline and Mustapha
Rachidi",
title = "Solving Nonhomogeneous Recurrence Relations of Order
$r$ by Matrix Methods",
journal = j-FIB-QUART,
volume = "40",
number = "2",
pages = "106--117",
month = may,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:33 MDT 2011",
bibsource = "http://www.fq.math.ca/40-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-2/el-wahbi.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Dujella:2002:EOP,
author = "Andrej Dujella",
title = "An Extension of an Odd Problem of {Diophantus} and
{Euler} --- {II}",
journal = j-FIB-QUART,
volume = "40",
number = "2",
pages = "118--123",
month = may,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:33 MDT 2011",
bibsource = "http://www.fq.math.ca/40-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-2/dujella.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{He:2002:MSG,
author = "Ping-an He and Zhizheng Zhang",
title = "The Multiple Sum on the Generalized {Lucas}
Sequences",
journal = j-FIB-QUART,
volume = "40",
number = "2",
pages = "124--127",
month = may,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:33 MDT 2011",
bibsource = "http://www.fq.math.ca/40-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-2/he.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Xie:2002:SGA,
author = "Ziqing Xie",
title = "On the Summation of Generalized Arithmetic-Geometric
Trigonometric Series",
journal = j-FIB-QUART,
volume = "40",
number = "2",
pages = "128--135",
month = may,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:33 MDT 2011",
bibsource = "http://www.fq.math.ca/40-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-2/xie.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Leida:2002:PDA,
author = "Johann Leida and Yongzhi (Peter) Yang",
title = "{Pascal} Decompositions of Arithmetic and Convolution
Arrays in Matrices",
journal = j-FIB-QUART,
volume = "40",
number = "2",
pages = "136--145",
month = may,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:33 MDT 2011",
bibsource = "http://www.fq.math.ca/40-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-2/leida.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Peele:2002:MPC,
author = "Rhodes Peele and Pantelimon Stanica",
title = "Matrix Powers of Column-Justified {Pascal} Triangles
and {Fibonacci} Sequences",
journal = j-FIB-QUART,
volume = "40",
number = "2",
pages = "146--152",
month = may,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:33 MDT 2011",
bibsource = "http://www.fq.math.ca/40-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-2/peele.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Yuan:2002:NDG,
author = "Pingzhi Yuan",
title = "A Note on the Divisibility of the Generalized {Lucas}
Sequences",
journal = j-FIB-QUART,
volume = "40",
number = "2",
pages = "153--156",
month = may,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:33 MDT 2011",
bibsource = "http://www.fq.math.ca/40-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-2/yuan.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Deshpande:2002:IPR,
author = "M. N. Deshpande and Andrej Dujella",
title = "An Interesting Property of a Recurrence Related to the
{Fibonacci} Sequence",
journal = j-FIB-QUART,
volume = "40",
number = "2",
pages = "157--160",
month = may,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:33 MDT 2011",
bibsource = "http://www.fq.math.ca/40-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-2/deshpande.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rangarajan:2002:BPT,
author = "R. Rangarajan and H. S. Sudheer",
title = "The {Brahmagupta} Polynomials in Two Complex Variables
and Their Conjugates",
journal = j-FIB-QUART,
volume = "40",
number = "2",
pages = "161--169",
month = may,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:33 MDT 2011",
bibsource = "http://www.fq.math.ca/40-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-2/rangarajan.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Zhang:2002:FSD,
author = "Wenpeng Zhang and Yuan Yi",
title = "On {Farey} Series and {Dedekind} Sums",
journal = j-FIB-QUART,
volume = "40",
number = "2",
pages = "170--174",
month = may,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:33 MDT 2011",
bibsource = "http://www.fq.math.ca/40-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-2/zhang.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Tuenter:2002:WAS,
author = "Hans J. H. Tuenter",
title = "Walking into an Absolute Sum",
journal = j-FIB-QUART,
volume = "40",
number = "2",
pages = "175--180",
month = may,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:33 MDT 2011",
bibsource = "http://www.fq.math.ca/40-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-2/tuenter.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Euler:2002:EPSb,
author = "Russ Euler and Jawad Sadek",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "40",
number = "2",
pages = "181--186",
month = may,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:33 MDT 2011",
bibsource = "http://www.fq.math.ca/40-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-2/elementary40-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:2002:APSb,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "40",
number = "2",
pages = "187--193",
month = may,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:33 MDT 2011",
bibsource = "http://www.fq.math.ca/40-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-2/advanced40-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Greene:2002:BC,
author = "John Greene",
title = "The {Burgstahler} Coincidence",
journal = j-FIB-QUART,
volume = "40",
number = "3",
pages = "194--202",
month = jun,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:37 MDT 2011",
bibsource = "http://www.fq.math.ca/40-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-3/greene.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lee:2002:FEF,
author = "Gwang-Yeon Lee and Jin-Soo Kim and Sang-Gu Lee",
title = "Factorizations and Eigenvalues of {Fibonacci} and
Symmetric {Fibonacci} Matrices",
journal = j-FIB-QUART,
volume = "40",
number = "3",
pages = "203--211",
month = jun,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:37 MDT 2011",
bibsource = "http://www.fq.math.ca/40-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-3/lee.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:2002:CJT,
author = "A. F. Horadam",
title = "Convolutions for {Jacobsthal}-Type Polynomials",
journal = j-FIB-QUART,
volume = "40",
number = "3",
pages = "212--222",
month = jun,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:37 MDT 2011",
bibsource = "http://www.fq.math.ca/40-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-3/horadam1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:2002:VP,
author = "A. F. Horadam",
title = "{Vieta} Polynomials",
journal = j-FIB-QUART,
volume = "40",
number = "3",
pages = "223--232",
month = jun,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:37 MDT 2011",
bibsource = "http://www.fq.math.ca/40-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-3/horadam2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Prasad:2002:PNP,
author = "V. Siva Rama Prasad and B. Srinivasa Rao",
title = "Pentagonal Numbers in the {Pell} Sequence and
{Diophantine} Equations $ 2 x^2 = y^2 (3 y - 1)^2 \pm 2
$",
journal = j-FIB-QUART,
volume = "40",
number = "3",
pages = "233--241",
month = jun,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:37 MDT 2011",
bibsource = "http://www.fq.math.ca/40-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-3/prasad.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2002:DCL,
author = "Anonymous",
title = "Dedication to {Cal Long}",
journal = j-FIB-QUART,
volume = "40",
number = "3",
pages = "242--??",
month = jun,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:37 MDT 2011",
bibsource = "http://www.fq.math.ca/40-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-3/tribute-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Nyblom:2002:RID,
author = "M. A. Nyblom",
title = "On the Representation of the Integers as a Difference
of Squares",
journal = j-FIB-QUART,
volume = "40",
number = "3",
pages = "243--246",
month = jun,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:37 MDT 2011",
bibsource = "http://www.fq.math.ca/40-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-3/nyblom.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Zhao:2002:SRR,
author = "Xiqiang Zhao and Shuangshuang Dings",
title = "Sequences Related to {Riordan} Arrays",
journal = j-FIB-QUART,
volume = "40",
number = "3",
pages = "247--252",
month = jun,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:37 MDT 2011",
bibsource = "http://www.fq.math.ca/40-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-3/zhao.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Sellers:2002:ICN,
author = "James A. Sellers and Hugh Williams",
title = "On the Infinitude of Composite {NSW} Numbers",
journal = j-FIB-QUART,
volume = "40",
number = "3",
pages = "253--259",
month = jun,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:37 MDT 2011",
bibsource = "http://www.fq.math.ca/40-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-3/sellers.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bicknell-Johnson:2002:LIH,
author = "Marjorie Bicknell-Johnson",
title = "The Least Integer Having $p$ {Fibonacci}
Representations, $p$ Prime",
journal = j-FIB-QUART,
volume = "40",
number = "3",
pages = "260--265",
month = jun,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:37 MDT 2011",
bibsource = "http://www.fq.math.ca/40-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-3/bicknell.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Izotov:2002:SOL,
author = "Anatoly S. Izotov",
title = "Second-Order Linear Recurrences of Composite Numbers",
journal = j-FIB-QUART,
volume = "40",
number = "3",
pages = "266--268",
month = jun,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:37 MDT 2011",
bibsource = "http://www.fq.math.ca/40-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-3/izotov.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Robbins:2002:DPB,
author = "Neville Robbins",
title = "A Divisibility Property of Binary Linear Recurrences",
journal = j-FIB-QUART,
volume = "40",
number = "3",
pages = "269--271",
month = jun,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:37 MDT 2011",
bibsource = "http://www.fq.math.ca/40-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-3/robbins.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Paulsen:2002:PNM,
author = "William Paulsen",
title = "The Prime Number Maze",
journal = j-FIB-QUART,
volume = "40",
number = "3",
pages = "272--279",
month = jun,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:37 MDT 2011",
bibsource = "http://www.fq.math.ca/40-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-3/paulsen.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Dazheng:2002:FLQ,
author = "Lin Dazheng",
title = "{Fibonacci--Lucas} Quasi-Cyclic Matrices",
journal = j-FIB-QUART,
volume = "40",
number = "3",
pages = "280--286",
month = jun,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:37 MDT 2011",
bibsource = "http://www.fq.math.ca/40-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-3/lin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ping:2002:PFF,
author = "Sun Ping",
title = "Partition Forms of {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "40",
number = "3",
pages = "287--289",
month = jun,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:37 MDT 2011",
bibsource = "http://www.fq.math.ca/40-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-3/sun.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hu:2002:LT,
author = "Hong Hu",
title = "On {Lucas} $v$-Triangles",
journal = j-FIB-QUART,
volume = "40",
number = "4",
pages = "290--294",
month = aug,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:39 MDT 2011",
bibsource = "http://www.fq.math.ca/40-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-4/hu.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Benyi:2002:OPE,
author = "Arpad Benyi",
title = "An {Olympiad} Problem, {Euler}'s Sequence, and
{Stirling}'s Formula",
journal = j-FIB-QUART,
volume = "40",
number = "4",
pages = "295--298",
month = aug,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:39 MDT 2011",
bibsource = "http://www.fq.math.ca/40-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-4/benyi.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lang:2002:PRD,
author = "Wolfdieter Lang",
title = "On Polynomials Related to Derivatives of the
Generating Function of {Catalan} Numbers",
journal = j-FIB-QUART,
volume = "40",
number = "4",
pages = "299--313",
month = aug,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:39 MDT 2011",
bibsource = "http://www.fq.math.ca/40-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-4/lang.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Yuan:2002:SII,
author = "Yi Yuan and Wenpeng Zhang",
title = "Some Identities Involving the {Fibonacci}
Polynomials",
journal = j-FIB-QUART,
volume = "40",
number = "4",
pages = "314--318",
month = aug,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:39 MDT 2011",
bibsource = "http://www.fq.math.ca/40-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-4/yuan.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rao:2002:HNL,
author = "B. Srinivasa Rao",
title = "Heptagonal Numbers in the {Lucas} Sequence and
{Diophantine} Equations $ x^2 (5 x - 3)^2 = 20 y^2 \pm
16 $",
journal = j-FIB-QUART,
volume = "40",
number = "4",
pages = "319--322",
month = aug,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:39 MDT 2011",
bibsource = "http://www.fq.math.ca/40-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-4/rao.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Klostermeyer:2002:NPF,
author = "W. F. Klostermeyer and J. L. Goldwasser",
title = "Nullspace-Primes and {Fibonacci} Polynomials",
journal = j-FIB-QUART,
volume = "40",
number = "4",
pages = "323--327",
month = aug,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:39 MDT 2011",
bibsource = "http://www.fq.math.ca/40-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-4/klostermeyer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kimberling:2002:PCF,
author = "Clark Kimberling",
title = "Path-Counting and {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "40",
number = "4",
pages = "328--338",
month = aug,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:39 MDT 2011",
bibsource = "http://www.fq.math.ca/40-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-4/kimberling.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Tasci:2002:AHS,
author = "Dursun Ta{\c{s}}ci and Ercan Altini{\c{s}}ik",
title = "On the Almost {Hilbert--Smith} Matrices",
journal = j-FIB-QUART,
volume = "40",
number = "4",
pages = "339--344",
month = aug,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:39 MDT 2011",
bibsource = "http://www.fq.math.ca/40-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-4/tasci.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Sun:2002:FCP,
author = "Zhi-Hong Sun",
title = "Five Congruences for Primes",
journal = j-FIB-QUART,
volume = "40",
number = "4",
pages = "345--351",
month = aug,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:39 MDT 2011",
bibsource = "http://www.fq.math.ca/40-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-4/sun.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Liu:2002:FCF,
author = "Guodong Liu",
title = "Formulas for Convolution {Fibonacci} Numbers and
Polynomials",
journal = j-FIB-QUART,
volume = "40",
number = "4",
pages = "352--357",
month = aug,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:39 MDT 2011",
bibsource = "http://www.fq.math.ca/40-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-4/liu.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Haukkanen:2002:NHS,
author = "Pentti Haukkanen",
title = "A Note on {Horadam}'s Sequence",
journal = j-FIB-QUART,
volume = "40",
number = "4",
pages = "358--361",
month = aug,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:39 MDT 2011",
bibsource = "http://www.fq.math.ca/40-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-4/haukkanen.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Sanchez-Peregrino:2002:CFP,
author = "Roberto S{\'a}nchez-Peregrino",
title = "Closed Formula for Poly-{Bernoulli} Numbers",
journal = j-FIB-QUART,
volume = "40",
number = "4",
pages = "362--364",
month = aug,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:39 MDT 2011",
bibsource = "http://www.fq.math.ca/40-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-4/sanchez.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Robbins:2002:SCG,
author = "Neville Robbins",
title = "Some Consequences of {Gauss}' Triangular Number
Theorem",
journal = j-FIB-QUART,
volume = "40",
number = "4",
pages = "365--368",
month = aug,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:39 MDT 2011",
bibsource = "http://www.fq.math.ca/40-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-4/robbins.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Costello:2002:NLS,
author = "Patrick Costello",
title = "A New Largest {Smith} Number",
journal = j-FIB-QUART,
volume = "40",
number = "4",
pages = "369--371",
month = aug,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:39 MDT 2011",
bibsource = "http://www.fq.math.ca/40-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-4/costello.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Euler:2002:EPSc,
author = "Russ Euler and Jawad Sadek",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "40",
number = "4",
pages = "372--378",
month = aug,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:39 MDT 2011",
bibsource = "http://www.fq.math.ca/40-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-4/elementary40-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:2002:APSc,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "40",
number = "4",
pages = "379--385",
month = aug,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:39 MDT 2011",
bibsource = "http://www.fq.math.ca/40-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-4/advanced40-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Taher:2002:CGF,
author = "R. B. Taher and M. Mouline and M. Rachidi",
title = "Convergence of $r$-Generalized {Fibonacci} Sequences
and an Extension of {Ostrowski}'s Condition",
journal = j-FIB-QUART,
volume = "40",
number = "5",
pages = "386--393",
month = nov,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:41 MDT 2011",
bibsource = "http://www.fq.math.ca/40-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-5/ben-taher.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Zhang:2002:NCC,
author = "Zhizheng Zhang and Xin Wang",
title = "A Note on a Class of Computational Formulas Involving
the Multiple Sum of Recurrence Sequences",
journal = j-FIB-QUART,
volume = "40",
number = "5",
pages = "394--397",
month = nov,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:41 MDT 2011",
bibsource = "http://www.fq.math.ca/40-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-5/zhang-zhizheng.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2002:PTF,
author = "Anonymous",
title = "The Passing of Three {Fibonacci Association} Friends",
journal = j-FIB-QUART,
volume = "40",
number = "5",
pages = "398--??",
month = nov,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:41 MDT 2011",
bibsource = "http://www.fq.math.ca/40-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-5/passing.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Chang:2002:EPR,
author = "Ching-Jua Chang and Chuang-Wei Ha",
title = "{Eulerian} Polynomials and Related Explicit Formulas",
journal = j-FIB-QUART,
volume = "40",
number = "5",
pages = "399--404",
month = nov,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:41 MDT 2011",
bibsource = "http://www.fq.math.ca/40-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-5/chang.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Shannon:2002:RLT,
author = "A. G. Shannon and A. F. Horadam",
title = "Reflections on the Lambda Triangle",
journal = j-FIB-QUART,
volume = "40",
number = "5",
pages = "405--415",
month = nov,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:41 MDT 2011",
bibsource = "http://www.fq.math.ca/40-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-5/shannon1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2002:RTI,
author = "Anonymous",
title = "Report on the {Tenth International Conference on
Fibonacci Numbers and Their Applications}",
journal = j-FIB-QUART,
volume = "40",
number = "5",
pages = "416--??",
month = nov,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:41 MDT 2011",
bibsource = "http://www.fq.math.ca/40-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-5/report.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Shannon:2002:CML,
author = "A. G. Shannon and R. L. Ollerton",
title = "Combinatorial Matrices and Linear Recursive
Sequences",
journal = j-FIB-QUART,
volume = "40",
number = "5",
pages = "417--423",
month = nov,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:41 MDT 2011",
bibsource = "http://www.fq.math.ca/40-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-5/shannon2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Zhang:2002:CPF,
author = "Wenpeng Zhang",
title = "On {Chebyshev} Polynomials and {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "40",
number = "5",
pages = "424--428",
month = nov,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:41 MDT 2011",
bibsource = "http://www.fq.math.ca/40-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-5/zhang-wenpeng.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Krafft:2002:NPW,
author = "O. Krafft and M. Schaefer",
title = "On the Number of Permutations within a Given
Distance",
journal = j-FIB-QUART,
volume = "40",
number = "5",
pages = "429--434",
month = nov,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:41 MDT 2011",
bibsource = "http://www.fq.math.ca/40-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-5/krafft.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Somer:2002:GTD,
author = "Lawrence Somer",
title = "Generalization of a Theorem of {Drobot}",
journal = j-FIB-QUART,
volume = "40",
number = "5",
pages = "435--437",
month = nov,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:41 MDT 2011",
bibsource = "http://www.fq.math.ca/40-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-5/somer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lee:2002:PLS,
author = "Jack Y. Lee",
title = "On the Product of Line-Sequences",
journal = j-FIB-QUART,
volume = "40",
number = "5",
pages = "438--440",
month = nov,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:41 MDT 2011",
bibsource = "http://www.fq.math.ca/40-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-5/lee.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horibe:2002:FTC,
author = "Yasuichi Horibe",
title = "{Fibonacci} Tree Is Critically Balanced --- a Note",
journal = j-FIB-QUART,
volume = "40",
number = "5",
pages = "441--445",
month = nov,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:41 MDT 2011",
bibsource = "http://www.fq.math.ca/40-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-5/horibe.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Sburlati:2002:GFS,
author = "Giovanni Sburlati",
title = "Generalized {Fibonacci} Sequences and Linear
Congruences",
journal = j-FIB-QUART,
volume = "40",
number = "5",
pages = "446--452",
month = nov,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:41 MDT 2011",
bibsource = "http://www.fq.math.ca/40-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-5/sburlati.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Chaoui:2002:AMC,
author = "F. Chaoui and M. Mouline and M. Rachidi",
title = "Application of {Markov} Chains Properties to $ \infty
$-Generalized {Fibonacci} Sequences",
journal = j-FIB-QUART,
volume = "40",
number = "5",
pages = "453--459",
month = nov,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:41 MDT 2011",
bibsource = "http://www.fq.math.ca/40-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-5/chaoui.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Yabuta:2002:PSL,
author = "Minoru Yabuta",
title = "Perfect Squares in the {Lucas} Numbers",
journal = j-FIB-QUART,
volume = "40",
number = "5",
pages = "460--466",
month = nov,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:41 MDT 2011",
bibsource = "http://www.fq.math.ca/40-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-5/yabuta.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Euler:2002:EPSd,
author = "Russ Euler and Jawad Sadek",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "40",
number = "5",
pages = "467--471",
month = nov,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:41 MDT 2011",
bibsource = "http://www.fq.math.ca/40-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-5/elementary40-5.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:2002:APSd,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "40",
number = "5",
pages = "472--478",
month = nov,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:41 MDT 2011",
bibsource = "http://www.fq.math.ca/40-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-5/advanced40-5.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2002:VI,
author = "Anonymous",
title = "Volume Index",
journal = j-FIB-QUART,
volume = "40",
number = "5",
pages = "479--??",
month = nov,
year = "2002",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:41 MDT 2011",
bibsource = "http://www.fq.math.ca/40-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/40-5/index.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2003:R,
author = "Anonymous",
title = "Referees",
journal = j-FIB-QUART,
volume = "41",
number = "1",
pages = "2--??",
month = feb,
year = "2003",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:43 MDT 2011",
bibsource = "http://www.fq.math.ca/41-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/41-1/referees.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Komatsu:2003:IAF,
author = "Takao Komatsu",
title = "The Interval Associated with a {Fibonacci} Number",
journal = j-FIB-QUART,
volume = "41",
number = "1",
pages = "3--6",
month = feb,
year = "2003",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:43 MDT 2011",
bibsource = "http://www.fq.math.ca/41-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/41-1/komatsu.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Zhao:2003:SII,
author = "Feng-Zhen Zhao and Tianming Wang",
title = "Some Identities Involving the Powers of the
Generalized {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "41",
number = "1",
pages = "7--12",
month = feb,
year = "2003",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:43 MDT 2011",
bibsource = "http://www.fq.math.ca/41-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "See errata \cite{Zhao:2006:ESI}.",
URL = "http://www.fq.math.ca/Scanned/41-1/zhao.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cahill:2003:CFF,
author = "Nathan D. Cahill and John R. D'Errico and John P.
Spence",
title = "Complex Factorizations of the {Fibonacci} and {Lucas}
Numbers",
journal = j-FIB-QUART,
volume = "41",
number = "1",
pages = "13--19",
month = feb,
year = "2003",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:43 MDT 2011",
bibsource = "http://www.fq.math.ca/41-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/41-1/cahill.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Atanassov:2003:IAR,
author = "K. T. Atanassov and R. Knott and K. Ozeki and A. G.
Shannon and L. Szalay",
title = "Inequalities among Related Pairs of {Fibonacci}
Numbers",
journal = j-FIB-QUART,
volume = "41",
number = "1",
pages = "20--22",
month = feb,
year = "2003",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:43 MDT 2011",
bibsource = "http://www.fq.math.ca/41-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/41-1/atanassov.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wang:2003:SFP,
author = "Xinghua Wang and Leetsch C. Hsu",
title = "A Summation Formula for Power Series Using {Eulerian}
Fractions",
journal = j-FIB-QUART,
volume = "41",
number = "1",
pages = "23--30",
month = feb,
year = "2003",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:43 MDT 2011",
bibsource = "http://www.fq.math.ca/41-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/41-1/wang.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cigler:2003:FP,
author = "Johann Cigler",
title = "$q$-{Fibonacci} Polynomials",
journal = j-FIB-QUART,
volume = "41",
number = "1",
pages = "31--40",
month = feb,
year = "2003",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:43 MDT 2011",
bibsource = "http://www.fq.math.ca/41-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/41-1/cigler.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Young:2003:LR,
author = "Paul Thomas Young",
title = "On Lacunary Recurrences",
journal = j-FIB-QUART,
volume = "41",
number = "1",
pages = "41--47",
month = feb,
year = "2003",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:43 MDT 2011",
bibsource = "http://www.fq.math.ca/41-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/41-1/young.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Zhou:2003:AMT,
author = "Chizhong Zhou",
title = "Applications of Matrix Theory to Congruence Properties
of $k$ th-Order {F-L} Sequences",
journal = j-FIB-QUART,
volume = "41",
number = "1",
pages = "48--58",
month = feb,
year = "2003",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:43 MDT 2011",
bibsource = "http://www.fq.math.ca/41-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/41-1/zhou.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Melham:2003:SRS,
author = "R. S. Melham",
title = "On Some Reciprocal Sums of {Brousseau}: An Alternative
Approach to That of {Carlitz}",
journal = j-FIB-QUART,
volume = "41",
number = "1",
pages = "59--62",
month = feb,
year = "2003",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:43 MDT 2011",
bibsource = "http://www.fq.math.ca/41-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/41-1/melham.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Turner:2003:SFG,
author = "J. C. Turner",
title = "Some Fractals in Goldpoint Geometry",
journal = j-FIB-QUART,
volume = "41",
number = "1",
pages = "63--71",
month = feb,
year = "2003",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:43 MDT 2011",
bibsource = "http://www.fq.math.ca/41-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/41-1/turner.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lengyel:2003:DPM,
author = "Tam{\'a}s Lengyel",
title = "Divisibility Properties by Multisection",
journal = j-FIB-QUART,
volume = "41",
number = "1",
pages = "72--79",
month = feb,
year = "2003",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:43 MDT 2011",
bibsource = "http://www.fq.math.ca/41-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/41-1/lengyel.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Howard:2003:SST,
author = "F. T. Howard",
title = "The Sum of the Squares of Two Generalized {Fibonacci}
Numbers",
journal = j-FIB-QUART,
volume = "41",
number = "1",
pages = "80--84",
month = feb,
year = "2003",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:43 MDT 2011",
bibsource = "http://www.fq.math.ca/41-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/41-1/howard.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Euler:2003:EPSa,
author = "Russ Euler and Jawad Sadek",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "41",
number = "1",
pages = "85--90",
month = feb,
year = "2003",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:43 MDT 2011",
bibsource = "http://www.fq.math.ca/41-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/41-1/elementary41-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Whitney:2003:APS,
author = "Raymond E. Whitney",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "41",
number = "1",
pages = "91--97",
month = feb,
year = "2003",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:43 MDT 2011",
bibsource = "http://www.fq.math.ca/41-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/41-1/advanced41-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Elsner:2003:RAP,
author = "Carsten Elsner",
title = "On Rational Approximations by {Pythagorean} Numbers",
journal = j-FIB-QUART,
volume = "41",
number = "2",
pages = "98--104",
month = may,
year = "2003",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:45 MDT 2011",
bibsource = "http://www.fq.math.ca/41-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/41-2/elsner.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Callan:2003:IME,
author = "David Callan and Helmut Prodinger",
title = "An Involutory Matrix of Eigenvectors",
journal = j-FIB-QUART,
volume = "41",
number = "2",
pages = "105--107",
month = may,
year = "2003",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:45 MDT 2011",
bibsource = "http://www.fq.math.ca/41-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/41-2/callan.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lee:2003:GFF,
author = "Gwang-Yeon Lee and Jin-Soo Kim and Tae Ho Cho",
title = "Generalized {Fibonacci} Functions and Sequences of
Generalized {Fibonacci} Functions",
journal = j-FIB-QUART,
volume = "41",
number = "2",
pages = "108--121",
month = may,
year = "2003",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:45 MDT 2011",
bibsource = "http://www.fq.math.ca/41-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/41-2/lee.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2003:MGG,
author = "Florian Luca and {\v{S}}tefan Porubsk{\'y}",
title = "The Multiplicative Group Generated by the {Lehmer}
Numbers",
journal = j-FIB-QUART,
volume = "41",
number = "2",
pages = "122--132",
month = may,
year = "2003",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:45 MDT 2011",
bibsource = "http://www.fq.math.ca/41-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/41-2/luca.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Capocelli:2003:RSF,
author = "Renato M. Capocelli and Paul Cull",
title = "Rounding the Solutions of {Fibonacci}-Like Difference
Equations",
journal = j-FIB-QUART,
volume = "41",
number = "2",
pages = "133--141",
month = may,
year = "2003",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:45 MDT 2011",
bibsource = "http://www.fq.math.ca/41-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/41-2/capocelli.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Melham:2003:FIS,
author = "R. S. Melham",
title = "A {Fibonacci} Identity in the Spirit of {Simson} and
{Gelin--Ces{\`a}ro}",
journal = j-FIB-QUART,
volume = "41",
number = "2",
pages = "142--143",
month = may,
year = "2003",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:45 MDT 2011",
bibsource = "http://www.fq.math.ca/41-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/41-2/melham.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Feng:2003:CFC,
author = "Hong Feng and Zhizheng Zhang",
title = "Computational Formulas for Convoluted Generalized
{Fibonacci} and {Lucas} Numbers",
journal = j-FIB-QUART,
volume = "41",
number = "2",
pages = "144--151",
month = may,
year = "2003",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:45 MDT 2011",
bibsource = "http://www.fq.math.ca/41-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/41-2/feng.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Nyblom:2003:NIP,
author = "M. A. Nyblom",
title = "A Non-Integer Property of Elementary Symmetric
Functions in Reciprocals of Generalized {Fibonacci}
Numbers",
journal = j-FIB-QUART,
volume = "41",
number = "2",
pages = "152--155",
month = may,
year = "2003",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:45 MDT 2011",
bibsource = "http://www.fq.math.ca/41-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/41-2/nyblom.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlip:2003:ESM,
author = "Walter Carlip and Lawrence Somer",
title = "The Existence of Special Multipliers of Second-Order
Recurrence Sequences",
journal = j-FIB-QUART,
volume = "41",
number = "2",
pages = "156--168",
month = may,
year = "2003",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:45 MDT 2011",
bibsource = "http://www.fq.math.ca/41-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/41-2/carlip.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bicknell-Johnson:2003:SDA,
author = "Marjorie Bicknell-Johnson",
title = "{Stern}'s Diatomic Array Applied to {Fibonacci}
Representations",
journal = j-FIB-QUART,
volume = "41",
number = "2",
pages = "169--179",
month = may,
year = "2003",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:45 MDT 2011",
bibsource = "http://www.fq.math.ca/41-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/41-2/bicknell.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2003:TJV,
author = "Anonymous",
title = "Tribute to {JoAnn Vine}",
journal = j-FIB-QUART,
volume = "41",
number = "2",
pages = "180--??",
month = may,
year = "2003",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:45 MDT 2011",
bibsource = "http://www.fq.math.ca/41-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/41-2/tribute.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Euler:2003:EPSb,
author = "Russ Euler and Jawad Sadek",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "41",
number = "2",
pages = "181--186",
month = may,
year = "2003",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:45 MDT 2011",
bibsource = "http://www.fq.math.ca/41-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/41-2/elementary41-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2003:APSa,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "41",
number = "2",
pages = "187--193",
month = may,
year = "2003",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:45 MDT 2011",
bibsource = "http://www.fq.math.ca/41-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/41-2/advanced41-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Chuan:2003:CWM,
author = "Wai-fong Chuan",
title = "Characterizations of $ \alpha $-Words, Moments, and
Determinants",
journal = j-FIB-QUART,
volume = "41",
number = "3",
pages = "194--208",
month = jun,
year = "2003",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:47 MDT 2011",
bibsource = "http://www.fq.math.ca/41-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/41-3/chuan.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Grytczuk:2003:SCE,
author = "Krystyna Grytczuk",
title = "On Some Classes of Effectively Integrable Differential
Equations and Functional Recurrences",
journal = j-FIB-QUART,
volume = "41",
number = "3",
pages = "209--219",
month = jun,
year = "2003",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:47 MDT 2011",
bibsource = "http://www.fq.math.ca/41-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/41-3/grytczuk.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Melham:2003:TVI,
author = "R. S. Melham",
title = "A Three-Variable Identity Involving Cubes of
{Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "41",
number = "3",
pages = "220--223",
month = jun,
year = "2003",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:47 MDT 2011",
bibsource = "http://www.fq.math.ca/41-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/41-3/melham.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ewell:2003:EPJ,
author = "John A. Ewell",
title = "An Elementary Proof of {Jacobi}'s Four-Square
Theorem",
journal = j-FIB-QUART,
volume = "41",
number = "3",
pages = "224--228",
month = jun,
year = "2003",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:47 MDT 2011",
bibsource = "http://www.fq.math.ca/41-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/41-3/ewell.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Heubach:2003:RLD,
author = "S. Heubach and P. Z. Chinn and R. P. Grimaldi",
title = "Rises, Levels, Drops and ``$+$'' Signs in
Compositions: Extensions of a Paper by {Alladi} and
{Hoggatt}",
journal = j-FIB-QUART,
volume = "41",
number = "3",
pages = "229--239",
month = jun,
year = "2003",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:47 MDT 2011",
bibsource = "http://www.fq.math.ca/41-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/41-3/heubach.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:2003:VCD,
author = "A. F. Horadam",
title = "{Vieta} Convolutions and Diagonal Polynomials",
journal = j-FIB-QUART,
volume = "41",
number = "3",
pages = "240--252",
month = jun,
year = "2003",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:47 MDT 2011",
bibsource = "http://www.fq.math.ca/41-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/41-3/horadam.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Holshouser:2003:DOP,
author = "Arthur Holshouser and Harold Reiter and James
Rudzinski",
title = "Dynamic One-Pile {Nim}",
journal = j-FIB-QUART,
volume = "41",
number = "3",
pages = "253--262",
month = jun,
year = "2003",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:47 MDT 2011",
bibsource = "http://www.fq.math.ca/41-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/41-3/holshouser.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Santos:2003:FNP,
author = "Jos{\'e} Pl{\'\i}nio O. Santos and Milo{\v{s}}
Ivkovi{\'c}",
title = "{Fibonacci} Numbers and Partitions",
journal = j-FIB-QUART,
volume = "41",
number = "3",
pages = "263--278",
month = jun,
year = "2003",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:47 MDT 2011",
bibsource = "http://www.fq.math.ca/41-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/41-3/santos.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Elia:2003:CFI,
author = "Michele Elia and J. Carmelo Interlando",
title = "A Class of {Fibonacci} Ideal Lattices in {$ Z[\zeta_{1
2}] $}",
journal = j-FIB-QUART,
volume = "41",
number = "3",
pages = "279--289",
month = jun,
year = "2003",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:47 MDT 2011",
bibsource = "http://www.fq.math.ca/41-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/41-3/elia.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Essebbar:2003:DIF,
author = "Belkheir Essebbar",
title = "Double Indexed {Fibonacci} Sequences and the Bivariate
Probability Distribution",
journal = j-FIB-QUART,
volume = "41",
number = "4",
pages = "290--300",
month = aug,
year = "2003",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:49 MDT 2011",
bibsource = "http://www.fq.math.ca/41-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/41-4/essebbar.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Grundman:2003:HHN,
author = "H. G. Grundman and E. A. Teeple",
title = "Heights of Happy Numbers and Cubic Happy Numbers",
journal = j-FIB-QUART,
volume = "41",
number = "4",
pages = "301--306",
month = aug,
year = "2003",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:49 MDT 2011",
bibsource = "http://www.fq.math.ca/41-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/41-4/grundman.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Caragiu:2003:MFS,
author = "Mihai Caragiu and William Webb",
title = "On Modular {Fibonacci} Sets",
journal = j-FIB-QUART,
volume = "41",
number = "4",
pages = "307--309",
month = aug,
year = "2003",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:49 MDT 2011",
bibsource = "http://www.fq.math.ca/41-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/41-4/caragiu.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lengyel:2003:NTG,
author = "Tam{\'a}s Lengyel",
title = "A {Nim}-Type Game and Continued Fractions",
journal = j-FIB-QUART,
volume = "41",
number = "4",
pages = "310--320",
month = aug,
year = "2003",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:49 MDT 2011",
bibsource = "http://www.fq.math.ca/41-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/41-4/lengyel.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Stanica:2003:GFW,
author = "Pantelimon Stanica",
title = "Generating Functions, Weighted and Non-Weighted Sums
for Powers of Second-Order Recurrence Sequences",
journal = j-FIB-QUART,
volume = "41",
number = "4",
pages = "321--333",
month = aug,
year = "2003",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:49 MDT 2011",
bibsource = "http://www.fq.math.ca/41-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/41-4/stanica.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Chen:2003:SCB,
author = "Zhuo Chen and John Greene",
title = "Some Comments on {Baillie--PSW} Pseudoprimes",
journal = j-FIB-QUART,
volume = "41",
number = "4",
pages = "334--344",
month = aug,
year = "2003",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:49 MDT 2011",
bibsource = "http://www.fq.math.ca/41-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/41-4/chen.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Zhou:2003:OFI,
author = "Chizhong Zhou and Fredric T. Howard",
title = "On the $k$ th-Order {F-L} Identity",
journal = j-FIB-QUART,
volume = "41",
number = "4",
pages = "345--351",
month = aug,
year = "2003",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:49 MDT 2011",
bibsource = "http://www.fq.math.ca/41-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/41-4/zhou.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:2003:UPQ,
author = "A. F. Horadam",
title = "Unexpected {Pell} and Quasi {Morgan--Voyce} Summation
Connections",
journal = j-FIB-QUART,
volume = "41",
number = "4",
pages = "352--359",
month = aug,
year = "2003",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:49 MDT 2011",
bibsource = "http://www.fq.math.ca/41-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/41-4/horadam.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Benjamin:2003:PVC,
author = "Arthur T. Benjamin and Judson D. Neer and Daniel E.
Otero and James A. Sellers",
title = "A Probabilistic View of Certain Weighted {Fibonacci}
Sums",
journal = j-FIB-QUART,
volume = "41",
number = "4",
pages = "360--364",
month = aug,
year = "2003",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:49 MDT 2011",
bibsource = "http://www.fq.math.ca/41-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/41-4/benjamin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2003:PNW,
author = "Florian Luca",
title = "On Positive Numbers $n$ for Which {$ \Omega (n) $}
Divides {$ F_n $}",
journal = j-FIB-QUART,
volume = "41",
number = "4",
pages = "365--371",
month = aug,
year = "2003",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:49 MDT 2011",
bibsource = "http://www.fq.math.ca/41-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/41-4/luca.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Beardon:2003:SDV,
author = "Alan F. Beardon",
title = "Sums and Differences of Values of a Quadratic
Polynomial",
journal = j-FIB-QUART,
volume = "41",
number = "4",
pages = "372--373",
month = aug,
year = "2003",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:49 MDT 2011",
bibsource = "http://www.fq.math.ca/41-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/41-4/beardon.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Euler:2003:EPSc,
author = "Russ Euler and Jawad Sadek",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "41",
number = "4",
pages = "374--379",
month = aug,
year = "2003",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:49 MDT 2011",
bibsource = "http://www.fq.math.ca/41-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/41-4/elementary41-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2003:APSb,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "41",
number = "4",
pages = "380--383",
month = aug,
year = "2003",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:49 MDT 2011",
bibsource = "http://www.fq.math.ca/41-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/41-4/advanced41-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2003:ICF,
author = "Anonymous",
title = "{11th International Conference on Fibonacci Numbers
and Their Applications}",
journal = j-FIB-QUART,
volume = "41",
number = "4",
pages = "384--385",
month = aug,
year = "2003",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:49 MDT 2011",
bibsource = "http://www.fq.math.ca/41-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/41-4/announcement.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lee:2003:SP,
author = "HoKyu Lee and SeungKyung Park",
title = "The $r$-Subcomplete Partitions",
journal = j-FIB-QUART,
volume = "41",
number = "5",
pages = "386--396",
month = nov,
year = "2003",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:51 MDT 2011",
bibsource = "http://www.fq.math.ca/41-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/41-5/lee-park.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brison:2003:LRS,
author = "Owen J. Brison and J. Eurico Nogueira",
title = "Linear Recurring Sequence Subgroups in the Complex
Field",
journal = j-FIB-QUART,
volume = "41",
number = "5",
pages = "397--404",
month = nov,
year = "2003",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:51 MDT 2011",
bibsource = "http://www.fq.math.ca/41-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/41-5/brison.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Fenwick:2003:ZIA,
author = "Peter Fenwick",
title = "{Zeckendorf} Integer Arithmetic",
journal = j-FIB-QUART,
volume = "41",
number = "5",
pages = "405--413",
month = nov,
year = "2003",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:51 MDT 2011",
bibsource = "http://www.fq.math.ca/41-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/41-5/fenwick.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rao:2003:HNF,
author = "B. Srinivasa Rao",
title = "Heptagonal Numbers in {Fibonacci} Sequence and
{Diophantine} Equations $ 4 x^2 = 5 y^2 (5 y - 3)^2 \pm
16 $",
journal = j-FIB-QUART,
volume = "41",
number = "5",
pages = "414--420",
month = nov,
year = "2003",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:51 MDT 2011",
bibsource = "http://www.fq.math.ca/41-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/41-5/rao.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hsiao:2003:MSF,
author = "Hung-Kuei Hsiao and Shyr-ShenYu",
title = "Mapped Shuffled {Fibonacci} Languages",
journal = j-FIB-QUART,
volume = "41",
number = "5",
pages = "421--430",
month = nov,
year = "2003",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:51 MDT 2011",
bibsource = "http://www.fq.math.ca/41-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/41-5/hsiao.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{DeKoninck:2003:NNN,
author = "Jean-Marie DeKoninck and Nicolas Doyon",
title = "On the Number of {Niven} Numbers up to $x$",
journal = j-FIB-QUART,
volume = "41",
number = "5",
pages = "431--440",
month = nov,
year = "2003",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:51 MDT 2011",
bibsource = "http://www.fq.math.ca/41-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/41-5/dekoninck.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Herrmann:2003:IFS,
author = "Ernst Herrmann",
title = "Interval-Filling Sequences Involving Reciprocal
{Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "41",
number = "5",
pages = "441--449",
month = nov,
year = "2003",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:51 MDT 2011",
bibsource = "http://www.fq.math.ca/41-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/41-5/herrmann.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2003:EIC,
author = "Anonymous",
title = "The {Eleventh International Conference on Fibonacci
Numbers and Their Applications}",
journal = j-FIB-QUART,
volume = "41",
number = "5",
pages = "450--??",
month = nov,
year = "2003",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:51 MDT 2011",
bibsource = "http://www.fq.math.ca/41-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/41-5/announcement.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lee:2003:LAG,
author = "Gwang-Yeon Lee and Jin-Soo Kim",
title = "The Linear Algebra of the Generalized {Fibonacci}
Matrices",
journal = j-FIB-QUART,
volume = "41",
number = "5",
pages = "451--465",
month = nov,
year = "2003",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:51 MDT 2011",
bibsource = "http://www.fq.math.ca/41-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/41-5/lee-kim.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Euler:2003:EPSd,
author = "Russ Euler and Jawad Sadek",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "41",
number = "5",
pages = "466--471",
month = nov,
year = "2003",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:51 MDT 2011",
bibsource = "http://www.fq.math.ca/41-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/41-5/elementary41-5.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2003:APSc,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "41",
number = "5",
pages = "472--477",
month = nov,
year = "2003",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:51 MDT 2011",
bibsource = "http://www.fq.math.ca/41-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/41-5/advanced41-5.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2003:VI,
author = "Anonymous",
title = "Volume Index",
journal = j-FIB-QUART,
volume = "41",
number = "5",
pages = "478--??",
month = nov,
year = "2003",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:51 MDT 2011",
bibsource = "http://www.fq.math.ca/41-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/41-5/index.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2004:R,
author = "Anonymous",
title = "Referees for 2003",
journal = j-FIB-QUART,
volume = "42",
number = "1",
pages = "2--??",
month = feb,
year = "2004",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:53 MDT 2011",
bibsource = "http://www.fq.math.ca/42-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/42-1/febreferee04.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Article:2004:FNR,
author = "Featured Article",
title = "{Fibonacci} Numbers and the {Rogers--Ramanujan}
Identities",
journal = j-FIB-QUART,
volume = "42",
number = "1",
pages = "3--27",
month = feb,
year = "2004",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:53 MDT 2011",
bibsource = "http://www.fq.math.ca/42-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/42-1/quartgranville01_2004.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kimberling:2004:OPF,
author = "Clark Kimberling",
title = "Orderings of Products of {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "42",
number = "1",
pages = "28--35",
month = feb,
year = "2004",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:53 MDT 2011",
bibsource = "http://www.fq.math.ca/42-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/42-1/quartkimberling01_2004.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Arpaia:2004:GSS,
author = "Pasquale J. Arpaia",
title = "Generating Solutions for a Special Class of
{Diophantine} Equations {II}",
journal = j-FIB-QUART,
volume = "42",
number = "1",
pages = "36--37",
month = feb,
year = "2004",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:53 MDT 2011",
bibsource = "http://www.fq.math.ca/42-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/42-1/quartarpaia01_2004.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Karttunen:2004:PTM,
author = "Antti Karttunen",
title = "On {Pascal}'s Triangle Modulo $2$ in {Fibonacci}
Representation",
journal = j-FIB-QUART,
volume = "42",
number = "1",
pages = "38--46",
month = feb,
year = "2004",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:53 MDT 2011",
bibsource = "http://www.fq.math.ca/42-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/42-1/quartkarttunen01_2004.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Melham:2004:CCF,
author = "R. S. Melham",
title = "Certain Classes on Finite Sums that Involve
Generalized {Fibonacci} and {Lucas} Numbers",
journal = j-FIB-QUART,
volume = "42",
number = "1",
pages = "47--54",
month = feb,
year = "2004",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:53 MDT 2011",
bibsource = "http://www.fq.math.ca/42-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/42-1/quartmelham01_2004.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bernoussi:2004:EBE,
author = "Bernaissa Bernoussi and Mustapha Rachidi and Osamu
Saeki",
title = "Extending the {Bernoulli--Euler} Method for Finding
Zeros of Holomorphic Functions",
journal = j-FIB-QUART,
volume = "42",
number = "1",
pages = "55--65",
month = feb,
year = "2004",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:53 MDT 2011",
bibsource = "http://www.fq.math.ca/42-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/42-1/quartbernoussi01_2004.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Zhao:2004:NSC,
author = "Feng-Zhen Zhao and Tianming Wang",
title = "A Note on Summation of Certain Reciprocal Series",
journal = j-FIB-QUART,
volume = "42",
number = "1",
pages = "66--69",
month = feb,
year = "2004",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:53 MDT 2011",
bibsource = "http://www.fq.math.ca/42-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/42-1/quartzhao01_2004.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kubelka:2004:SSS,
author = "Richard P. Kubelka",
title = "Self-Similarity and Symmetries of {Pascal}'s Triangles
and Simplices",
journal = j-FIB-QUART,
volume = "42",
number = "1",
pages = "70--75",
month = feb,
year = "2004",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:53 MDT 2011",
bibsource = "http://www.fq.math.ca/42-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/42-1/quartkubelka01_2004.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{DiScala:2004:IP,
author = "Antonio J. {Di Scala} and Mart{\'\i}n Sombra",
title = "Intrinsic Palindromes",
journal = j-FIB-QUART,
volume = "42",
number = "1",
pages = "76--81",
month = feb,
year = "2004",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:53 MDT 2011",
bibsource = "http://www.fq.math.ca/42-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/42-1/quartscala01_2004.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:2004:FLA,
author = "A. F. Horadam",
title = "{``Fibonacci's Liber Abaci'': A Translation into
Modern English of Leonardo Pisano's Book of
Calculation, by L. E. Sigler}",
journal = j-FIB-QUART,
volume = "42",
number = "1",
pages = "82--85",
month = feb,
year = "2004",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:53 MDT 2011",
bibsource = "http://www.fq.math.ca/42-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "See \cite{Sigler:2002:FLA}.",
URL = "http://www.fq.math.ca/Papers1/42-1/quarthoradam04review.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Euler:2004:EPSa,
author = "Russ Euler and Jawad Sadek",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "42",
number = "1",
pages = "86--91",
month = feb,
year = "2004",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:53 MDT 2011",
bibsource = "http://www.fq.math.ca/42-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/42-1/February2004elementary.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2004:APSa,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "42",
number = "1",
pages = "92--97",
month = feb,
year = "2004",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:53 MDT 2011",
bibsource = "http://www.fq.math.ca/42-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/42-1/February2004advanced.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Taher:2004:APR,
author = "Rajae Ben Taher and Mustapha Rachidi",
title = "On the {$E$}-Algorithm for Polynomial Roots and Linear
Recurrence Relations",
journal = j-FIB-QUART,
volume = "42",
number = "2",
pages = "98--105",
month = may,
year = "2004",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:55 MDT 2011",
bibsource = "http://www.fq.math.ca/42-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/42-2/quartrachidi02_2004.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Djordjevic:2004:GFI,
author = "Gospava B. Djordjevi{\'c}",
title = "Generating Functions of the Incomplete Generalized
{Fibonacci} and Generalized {Lucas} Numbers",
journal = j-FIB-QUART,
volume = "42",
number = "2",
pages = "106--113",
month = may,
year = "2004",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:55 MDT 2011",
bibsource = "http://www.fq.math.ca/42-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/42-2/quartdjordjevic02_2004.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Somer:2004:SDS,
author = "Lawrence Somer and Walter Carlip",
title = "$p$-Stability of Degenerate Second-Order Recurrences",
journal = j-FIB-QUART,
volume = "42",
number = "2",
pages = "114--127",
month = may,
year = "2004",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:55 MDT 2011",
bibsource = "http://www.fq.math.ca/42-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/42-2/quartcarlip02_2004.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Chen:2004:CEN,
author = "Kwang-Wu Chen",
title = "Congruences for {Euler} Numbers",
journal = j-FIB-QUART,
volume = "42",
number = "2",
pages = "128--140",
month = may,
year = "2004",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:55 MDT 2011",
bibsource = "http://www.fq.math.ca/42-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/42-2/quartchenkwang02_2004.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Eterevsky:2004:NPD,
author = "Oleg Eterevsky and Maxim Vsemirnov",
title = "On the Number of Prime Divisors of Higher-Order
{Carmichael} Numbers",
journal = j-FIB-QUART,
volume = "42",
number = "2",
pages = "141--148",
month = may,
year = "2004",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:55 MDT 2011",
bibsource = "http://www.fq.math.ca/42-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/42-2/quarteterevsky02_2004.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Zhang:2004:SIIa,
author = "Wenpeng Zhang",
title = "Some Identities Involving the {Fibonacci} Numbers and
{Lucas} Numbers",
journal = j-FIB-QUART,
volume = "42",
number = "2",
pages = "149--154",
month = may,
year = "2004",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:55 MDT 2011",
bibsource = "http://www.fq.math.ca/42-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/42-2/quartwenpeng02_2004.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Melham:2004:YOF,
author = "R. S. Melham",
title = "Ye Olde {Fibonacci} Curiosity Shoppe Revisited",
journal = j-FIB-QUART,
volume = "42",
number = "2",
pages = "155--160",
month = may,
year = "2004",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:55 MDT 2011",
bibsource = "http://www.fq.math.ca/42-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/42-2/quartmelham02_2004.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Mollin:2004:PLC,
author = "R. A. Mollin and K. Cheng",
title = "Period Lengths of Continued Fractions Involving
{Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "42",
number = "2",
pages = "161--169",
month = may,
year = "2004",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:55 MDT 2011",
bibsource = "http://www.fq.math.ca/42-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/42-2/quartmollin02_2004.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rippon:2004:EOP,
author = "P. J. Rippon and H. Taylor",
title = "Even and Odd Periods in Continued Fractions of Square
Roots",
journal = j-FIB-QUART,
volume = "42",
number = "2",
pages = "170--180",
month = may,
year = "2004",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:55 MDT 2011",
bibsource = "http://www.fq.math.ca/42-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/42-2/quartrippon02_2004.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Euler:2004:EPSb,
author = "Russ Euler and Jawad Sadek",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "42",
number = "2",
pages = "181--186",
month = may,
year = "2004",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:55 MDT 2011",
bibsource = "http://www.fq.math.ca/42-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/42-2/May2004elementary.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2004:APSb,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "42",
number = "2",
pages = "187--193",
month = may,
year = "2004",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:55 MDT 2011",
bibsource = "http://www.fq.math.ca/42-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/42-2/May2004advancednew.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Zhao:2004:GSR,
author = "Xiqiang Zhao and Shuangshuang Ding",
title = "A Generalized Summation Rule Related to {Stirling}
Numbers",
journal = j-FIB-QUART,
volume = "42",
number = "3",
pages = "194--201",
month = aug,
year = "2004",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:58 MDT 2011",
bibsource = "http://www.fq.math.ca/42-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/42-3/quartxiqiang03_2004.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ardila:2004:CFP,
author = "Federico Ardila",
title = "The Coefficients of a {Fibonacci} Power Series",
journal = j-FIB-QUART,
volume = "42",
number = "3",
pages = "202--204",
month = aug,
year = "2004",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:58 MDT 2011",
bibsource = "http://www.fq.math.ca/42-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/42-3/quartardila03_2004.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Yang:2004:PDG,
author = "Yongzhi (Peter) Yang and Johann Leida",
title = "{Pascal} Decompositions of Geometric Arrays in
Matrices",
journal = j-FIB-QUART,
volume = "42",
number = "3",
pages = "205--215",
month = aug,
year = "2004",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:58 MDT 2011",
bibsource = "http://www.fq.math.ca/42-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/42-3/quartyang03_2004.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cahill:2004:FLN,
author = "Nathan D. Cahill and Darren A. Narayan",
title = "{Fibonacci} and {Lucas} Numbers as Tridiagonal Matrix
Determinants",
journal = j-FIB-QUART,
volume = "42",
number = "3",
pages = "216--221",
month = aug,
year = "2004",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:58 MDT 2011",
bibsource = "http://www.fq.math.ca/42-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/42-3/quartcahill03_2004.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ridley:2004:CUG,
author = "J. N. Ridley and M. E. Mays",
title = "Compositions of Unions of Graphs",
journal = j-FIB-QUART,
volume = "42",
number = "3",
pages = "222--230",
month = aug,
year = "2004",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:58 MDT 2011",
bibsource = "http://www.fq.math.ca/42-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/42-3/quartridley03_2004.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lang:2004:RMF,
author = "Wolfdieter Lang",
title = "{Riccati} Meets {Fibonacci}",
journal = j-FIB-QUART,
volume = "42",
number = "3",
pages = "231--244",
month = aug,
year = "2004",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:58 MDT 2011",
bibsource = "http://www.fq.math.ca/42-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/42-3/quartlang03_2004.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Zhang:2004:SIIb,
author = "Zhizheng Zhang and Jun Wang",
title = "On Some Identities Involving the {Chebyshev}
Polynomials",
journal = j-FIB-QUART,
volume = "42",
number = "3",
pages = "245--249",
month = aug,
year = "2004",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:58 MDT 2011",
bibsource = "http://www.fq.math.ca/42-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/42-3/quartwang03_2004.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Zhao:2004:SRG,
author = "Feng-Zhen Zhao and Tianming Wang",
title = "Some Results on Generalized {Fibonacci} and {Lucas}
Numbers and {Dedekind} Sums",
journal = j-FIB-QUART,
volume = "42",
number = "3",
pages = "250--255",
month = aug,
year = "2004",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:58 MDT 2011",
bibsource = "http://www.fq.math.ca/42-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/42-3/quartzhao03_2004.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cavicchioli:2004:VFT,
author = "Alberto Cavicchioli and Fulvia Spaggiari",
title = "Varieties of {Fibonacci} Type",
journal = j-FIB-QUART,
volume = "42",
number = "3",
pages = "256--265",
month = aug,
year = "2004",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:58 MDT 2011",
bibsource = "http://www.fq.math.ca/42-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/42-3/quartcavicchioli03_2004.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kessler:2004:CPG,
author = "David Kessler and Jeremy Schiff",
title = "A Combinatoric Proof and Generalization of
{Ferguson}'s Formula for $k$-Generalized {Fibonacci}
Numbers",
journal = j-FIB-QUART,
volume = "42",
number = "3",
pages = "266--273",
month = aug,
year = "2004",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:58 MDT 2011",
bibsource = "http://www.fq.math.ca/42-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/42-3/quartschiff03_2004.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Robbins:2004:DSL,
author = "Neville Robbins",
title = "On {Dedekind} Sums and Linear Recurrences of Order
Two",
journal = j-FIB-QUART,
volume = "42",
number = "3",
pages = "274--276",
month = aug,
year = "2004",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:58 MDT 2011",
bibsource = "http://www.fq.math.ca/42-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/42-3/quartrobbins03_2004.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Euler:2004:EPSc,
author = "Russ Euler and Jawad Sadek",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "42",
number = "3",
pages = "277--282",
month = aug,
year = "2004",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:58 MDT 2011",
bibsource = "http://www.fq.math.ca/42-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/42-3/August2004elementary.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2004:APSc,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "42",
number = "3",
pages = "283--289",
month = aug,
year = "2004",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:58 MDT 2011",
bibsource = "http://www.fq.math.ca/42-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/42-3/August2004advanced.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Prodinger:2004:NPG,
author = "Helmut Prodinger",
title = "A Note on a Paper of {G. H. Weiss} and {M. Dishon}",
journal = j-FIB-QUART,
volume = "42",
number = "4",
pages = "290--291",
month = nov,
year = "2004",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:00 MDT 2011",
bibsource = "http://www.fq.math.ca/42-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/42-4/quartprodinger04_2004.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Garcia:2004:HNF,
author = "Mariano Garcia",
title = "Hyperperfect Numbers with Five and Six Different Prime
Factors",
journal = j-FIB-QUART,
volume = "42",
number = "4",
pages = "292--294",
month = nov,
year = "2004",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:00 MDT 2011",
bibsource = "http://www.fq.math.ca/42-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/42-4/quartgarcia04_2004.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wu:2004:SIB,
author = "Ke-Jian Wu and Zhi-Wei Sun and Hao Pan",
title = "Some Identities for {Bernoulli} and {Euler}
Polynomials",
journal = j-FIB-QUART,
volume = "42",
number = "4",
pages = "295--299",
month = nov,
year = "2004",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:00 MDT 2011",
bibsource = "http://www.fq.math.ca/42-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/42-4/quartsun04_2004.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Trickovic:2004:PSC,
author = "Slobodan B. Tri{\v{c}}kovi{\'c} and Miomir S.
Stankovi{\'c}",
title = "On Periodic Solutions of a Certain Difference
Equation",
journal = j-FIB-QUART,
volume = "42",
number = "4",
pages = "300--305",
month = nov,
year = "2004",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:00 MDT 2011",
bibsource = "http://www.fq.math.ca/42-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/42-4/quarttrickovic04_2004.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gauthier:2004:CPC,
author = "N. Gauthier",
title = "Convolving the $m$-th Powers of the Consecutive
Integers with the General {Fibonacci} Sequence Using
{Carlitz}'s Weighted {Stirling} Polynomials of the
Second Kind",
journal = j-FIB-QUART,
volume = "42",
number = "4",
pages = "306--313",
month = nov,
year = "2004",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:00 MDT 2011",
bibsource = "http://www.fq.math.ca/42-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/42-4/quartgauthier04_2004.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Barcucci:2004:TS,
author = "Elena Barcucci and Luc B{\'e}langer and Sre{\v{c}}ko
Brlek",
title = "On {Tribonacci} Sequences",
journal = j-FIB-QUART,
volume = "42",
number = "4",
pages = "314--319",
month = nov,
year = "2004",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:00 MDT 2011",
bibsource = "http://www.fq.math.ca/42-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/42-4/quartbarcucci04_2004.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bernoussi:2004:FBF,
author = "Benaissa Bernoussi and Mustapha Rachidi and Osamu
Saeki",
title = "Factorial {Binet} Formula and Distributional Moment
Formulation of Generalized {Fibonacci} Sequences",
journal = j-FIB-QUART,
volume = "42",
number = "4",
pages = "320--329",
month = nov,
year = "2004",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:00 MDT 2011",
bibsource = "http://www.fq.math.ca/42-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/42-4/quartbernoussi04_2004.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Liptai:2004:FBN,
author = "K{\'a}lm{\'a}n Liptai",
title = "{Fibonacci} Balancing Numbers",
journal = j-FIB-QUART,
volume = "42",
number = "4",
pages = "330--340",
month = nov,
year = "2004",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:00 MDT 2011",
bibsource = "http://www.fq.math.ca/42-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/42-4/quartliptai04_2004.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wang:2004:ZCF,
author = "Yi Wang and Mingfeng He",
title = "Zeros of a Class of {Fibonacci}-Type Polynomials",
journal = j-FIB-QUART,
volume = "42",
number = "4",
pages = "341--347",
month = nov,
year = "2004",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:00 MDT 2011",
bibsource = "http://www.fq.math.ca/42-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/42-4/quartwang04_2004.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Knopfmacher:2004:PP,
author = "Arnold Knopfmacher and Neville Robbins",
title = "On {Pell} Partitions",
journal = j-FIB-QUART,
volume = "42",
number = "4",
pages = "348--352",
month = nov,
year = "2004",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:00 MDT 2011",
bibsource = "http://www.fq.math.ca/42-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/42-4/quartrobbins04_2004.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Nyblom:2004:CFT,
author = "M. A. Nyblom",
title = "On the Construction of a Family of Transcendental
Valued Infinite Products",
journal = j-FIB-QUART,
volume = "42",
number = "4",
pages = "353--358",
month = nov,
year = "2004",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:00 MDT 2011",
bibsource = "http://www.fq.math.ca/42-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/42-4/quartnyblom04_2004.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Phillips:2004:REI,
author = "George M. Phillips",
title = "Report on the {Eleventh International Conference on
Fibonacci Numbers and their Applications}",
journal = j-FIB-QUART,
volume = "42",
number = "4",
pages = "359--360",
month = nov,
year = "2004",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:00 MDT 2011",
bibsource = "http://www.fq.math.ca/42-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/42-4/quartreport04_2004.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bernoussi:2004:PGF,
author = "B. Bernoussi and W. Motta and M. Rachidi and O.
Saeki",
title = "On Periodic $ \infty $-Generalized {Fibonacci}
Sequences",
journal = j-FIB-QUART,
volume = "42",
number = "4",
pages = "361--367",
month = nov,
year = "2004",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:00 MDT 2011",
bibsource = "http://www.fq.math.ca/42-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/42-4/quartosamu04_2004.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Robbins:2004:PPF,
author = "Neville Robbins",
title = "On the Parity of the Partition Function",
journal = j-FIB-QUART,
volume = "42",
number = "4",
pages = "368--369",
month = nov,
year = "2004",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:00 MDT 2011",
bibsource = "http://www.fq.math.ca/42-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/42-4/quartneville04_2004.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Euler:2004:EPSd,
author = "Russ Euler and Jawad Sadek",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "42",
number = "4",
pages = "370--376",
month = nov,
year = "2004",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:00 MDT 2011",
bibsource = "http://www.fq.math.ca/42-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/42-4/November2004elementary.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2004:APSd,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "42",
number = "4",
pages = "377--382",
month = nov,
year = "2004",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:00 MDT 2011",
bibsource = "http://www.fq.math.ca/42-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/42-4/November2004advanced.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2004:VI,
author = "Anonymous",
title = "Volume Index",
journal = j-FIB-QUART,
volume = "42",
number = "4",
pages = "383--??",
month = nov,
year = "2004",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:00 MDT 2011",
bibsource = "http://www.fq.math.ca/42-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/42-4/volume_index_2004.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2005:R,
author = "Anonymous",
title = "Referees",
journal = j-FIB-QUART,
volume = "43",
number = "1",
pages = "2--??",
month = feb,
year = "2005",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:02 MDT 2011",
bibsource = "http://www.fq.math.ca/43-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers/43-1/referees43.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ribenboim:2005:FFF,
author = "Paulo Ribenboim",
title = "{FFF: (Favorite Fibonacci Flowers)}",
journal = j-FIB-QUART,
volume = "43",
number = "1",
pages = "3--14",
month = feb,
year = "2005",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:02 MDT 2011",
bibsource = "http://www.fq.math.ca/43-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers/43-1/paper43-1-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ando:2005:GLD,
author = "Shiro Ando and Daihachiro Sato",
title = "On {GCD--LCM} Duality Between {Pascal}'s Pyramid and
the Modified {Pascal} Pyramid",
journal = j-FIB-QUART,
volume = "43",
number = "1",
pages = "15--21",
month = feb,
year = "2005",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:02 MDT 2011",
bibsource = "http://www.fq.math.ca/43-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers/43-1/paper43-1-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Shiu:2005:DFN,
author = "Wai Chee Shiu and Chuan I. Chu",
title = "Distribution of the {Fibonacci} Numbers Modulo $ 3^k
$",
journal = j-FIB-QUART,
volume = "43",
number = "1",
pages = "22--28",
month = feb,
year = "2005",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:02 MDT 2011",
bibsource = "http://www.fq.math.ca/43-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers/43-1/paper43-1-3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Robbins:2005:IPF,
author = "Neville Robbins",
title = "On the Infinitude of Primes of the Form $ 3 k + 1 $",
journal = j-FIB-QUART,
volume = "43",
number = "1",
pages = "29--30",
month = feb,
year = "2005",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:02 MDT 2011",
bibsource = "http://www.fq.math.ca/43-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers/43-1/paper43-1-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Elsner:2005:RFS,
author = "Carsten Elsner",
title = "On Recurrence Formulae for Sums Involving Binomial
Coefficients",
journal = j-FIB-QUART,
volume = "43",
number = "1",
pages = "31--45",
month = feb,
year = "2005",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:02 MDT 2011",
bibsource = "http://www.fq.math.ca/43-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers/43-1/paper43-1-5.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wang:2005:SIS,
author = "Yi Wang",
title = "Self-Inverse Sequences Related to a Binomial Inverse
Pair",
journal = j-FIB-QUART,
volume = "43",
number = "1",
pages = "46--52",
month = feb,
year = "2005",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:02 MDT 2011",
bibsource = "http://www.fq.math.ca/43-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers/43-1/paper43-1-6.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Calkin:2005:CLC,
author = "Neil J. Calkin and John G. Stevens and Diana M.
Thomas",
title = "A Characterization for the Length of Cycles of the
{$N$}-Number {Ducci} Game",
journal = j-FIB-QUART,
volume = "43",
number = "1",
pages = "53--59",
month = feb,
year = "2005",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:02 MDT 2011",
bibsource = "http://www.fq.math.ca/43-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers/43-1/paper43-1-7.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Steiner:2005:JDG,
author = "Wolfgang Steiner",
title = "The Joint Distribution of Greedy and Lazy {Fibonacci}
Expansions",
journal = j-FIB-QUART,
volume = "43",
number = "1",
pages = "60--69",
month = feb,
year = "2005",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:02 MDT 2011",
bibsource = "http://www.fq.math.ca/43-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers/43-1/paper43-1-8.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Latushkin:2005:RRS,
author = "Yaroslav Latushkin and Vladimir Ushakov",
title = "A Representation of Regular Subsequences of Recurrent
Sequences",
journal = j-FIB-QUART,
volume = "43",
number = "1",
pages = "70--84",
month = feb,
year = "2005",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:02 MDT 2011",
bibsource = "http://www.fq.math.ca/43-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers/43-1/paper43-1-9.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Euler:2005:EPSa,
author = "Russ Euler and Jawad Sadek",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "43",
number = "1",
pages = "85--90",
month = feb,
year = "2005",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:02 MDT 2011",
bibsource = "http://www.fq.math.ca/43-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/elementary43-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2005:APSa,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "43",
number = "1",
pages = "91--97",
month = feb,
year = "2005",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:02 MDT 2011",
bibsource = "http://www.fq.math.ca/43-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/advanced43-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Khan:2005:APS,
author = "M. A. Khan and Harris Kwong",
title = "Arithmetic Progressions with Square Entries",
journal = j-FIB-QUART,
volume = "43",
number = "2",
pages = "98--103",
month = may,
year = "2005",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:04 MDT 2011",
bibsource = "http://www.fq.math.ca/43-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers/43-2/paper43-2-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ozeki:2005:WFL,
author = "Kiyota Ozeki",
title = "On Weighted {Fibonacci} and {Lucas} Sums",
journal = j-FIB-QUART,
volume = "43",
number = "2",
pages = "104--107",
month = may,
year = "2005",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:04 MDT 2011",
bibsource = "http://www.fq.math.ca/43-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers/43-2/paper43-2-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Horadam:2005:CPC,
author = "A. F. Horadam",
title = "{Chebyshev} and {Pell} Connections",
journal = j-FIB-QUART,
volume = "43",
number = "2",
pages = "108--121",
month = may,
year = "2005",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:04 MDT 2011",
bibsource = "http://www.fq.math.ca/43-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers/43-2/paper43-2-3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Meyer:2005:SAD,
author = "Jeffrey L. Meyer",
title = "Symmetric Arguments in the {Dedekind} Sum",
journal = j-FIB-QUART,
volume = "43",
number = "2",
pages = "122--123",
month = may,
year = "2005",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:04 MDT 2011",
bibsource = "http://www.fq.math.ca/43-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers/43-2/paper43-2-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ollerton:2005:FPG,
author = "R. L. Ollerton and A. G. Shannon",
title = "Further Properties of Generalized Binomial Coefficient
$k$-extensions",
journal = j-FIB-QUART,
volume = "43",
number = "2",
pages = "124--129",
month = may,
year = "2005",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:04 MDT 2011",
bibsource = "http://www.fq.math.ca/43-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers/43-2/paper43-2-5.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Izotov:2005:PD,
author = "Anatoly S. Izotov",
title = "On the Prime Divisors of {$ {\rm GCD}(3^n - 2, 2^n -
3) $}",
journal = j-FIB-QUART,
volume = "43",
number = "2",
pages = "130--131",
month = may,
year = "2005",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:04 MDT 2011",
bibsource = "http://www.fq.math.ca/43-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers/43-2/paper43-2-6.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Liu:2005:CEN,
author = "Guodong Liu",
title = "On Congruences of {Euler} Numbers Modulo an Odd
Square",
journal = j-FIB-QUART,
volume = "43",
number = "2",
pages = "132--136",
month = may,
year = "2005",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:04 MDT 2011",
bibsource = "http://www.fq.math.ca/43-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers/43-2/paper43-2-7.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Fairgrieve:2005:PDF,
author = "Steve Fairgrieve and Henry W. Gould",
title = "Product Difference {Fibonacci} Identities of {Simson},
{Gelin--Ces{\`a}ro}, {Tagiuri} and Generalizations",
journal = j-FIB-QUART,
volume = "43",
number = "2",
pages = "137--141",
month = may,
year = "2005",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:04 MDT 2011",
bibsource = "http://www.fq.math.ca/43-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers/43-2/paper43-2-8.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Robbins:2005:LTR,
author = "Neville Robbins",
title = "The {Lucas} Triangle Revisited",
journal = j-FIB-QUART,
volume = "43",
number = "2",
pages = "142--148",
month = may,
year = "2005",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:04 MDT 2011",
bibsource = "http://www.fq.math.ca/43-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers/43-2/paper43-2-9.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Price:2005:PEC,
author = "Thomas E. Price",
title = "Products of Elliptical Chord Lengths and the
{Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "43",
number = "2",
pages = "149--156",
month = may,
year = "2005",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:04 MDT 2011",
bibsource = "http://www.fq.math.ca/43-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers/43-2/paper43-2-10.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brigham:2005:DFT,
author = "Robert C. Brigham and Julie R. Carrington and Dal Y.
Jeong and Richard P. Vitray and Jay Yellen",
title = "Domination in {Fibonacci} Trees",
journal = j-FIB-QUART,
volume = "43",
number = "2",
pages = "157--165",
month = may,
year = "2005",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:04 MDT 2011",
bibsource = "http://www.fq.math.ca/43-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers/43-2/paper43-2-11.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Norfleet:2005:CSO,
author = "Mark Norfleet",
title = "Characterization of Second-Order Strong Divisibility
Sequences of Polynomials",
journal = j-FIB-QUART,
volume = "43",
number = "2",
pages = "166--169",
month = may,
year = "2005",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:04 MDT 2011",
bibsource = "http://www.fq.math.ca/43-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers/43-2/paper43-2-12.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Nkwanta:2005:PWR,
author = "Asamoah Nkwanta and Louis W. Shapiro",
title = "{Pell} Walks and {Riordan} Matrices",
journal = j-FIB-QUART,
volume = "43",
number = "2",
pages = "170--180",
month = may,
year = "2005",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:04 MDT 2011",
bibsource = "http://www.fq.math.ca/43-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers/43-2/paper43-2-13.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Euler:2005:EPSb,
author = "Russ Euler and Jawad Sadek",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "43",
number = "2",
pages = "181--186",
month = may,
year = "2005",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:04 MDT 2011",
bibsource = "http://www.fq.math.ca/43-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/elementary43-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2005:APSb,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "43",
number = "2",
pages = "187--193",
month = may,
year = "2005",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:04 MDT 2011",
bibsource = "http://www.fq.math.ca/43-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/advanced43-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rao:2005:HNP,
author = "B. Srinivasa Rao",
title = "Heptagonal Numbers in the {Pell} Sequence and
{Diophantine} Equations $ 2 x^2 = y^2 (5 y - 3)^2 \pm 2
$",
journal = j-FIB-QUART,
volume = "43",
number = "3",
pages = "194--201",
month = aug,
year = "2005",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:06 MDT 2011",
bibsource = "http://www.fq.math.ca/43-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers/43-3/paper43-3-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Djordjevic:2005:SPS,
author = "Gospava B. Djordjevi{\'c}",
title = "Some Properties of the Sequences {$ C_{n, 3} = C_{n -
1, 3} + C_{n - 3, 3} + r $}",
journal = j-FIB-QUART,
volume = "43",
number = "3",
pages = "202--207",
month = aug,
year = "2005",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:06 MDT 2011",
bibsource = "http://www.fq.math.ca/43-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers/43-3/paper43-3-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Liu:2005:SII,
author = "Guodong Liu and Hui Luo",
title = "Some Identities Involving {Bernoulli} Numbers",
journal = j-FIB-QUART,
volume = "43",
number = "3",
pages = "208--212",
month = aug,
year = "2005",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:06 MDT 2011",
bibsource = "http://www.fq.math.ca/43-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers/43-3/paper43-3-3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bihani:2005:AIF,
author = "Prerna Bihani and Wendy Pusser Sheppard and Paul
Thomas Young",
title = "$p$-Adic {Interpolation} of the {Fibonacci} Sequence
Via Hypergeometric Functions",
journal = j-FIB-QUART,
volume = "43",
number = "3",
pages = "213--226",
month = aug,
year = "2005",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:06 MDT 2011",
bibsource = "http://www.fq.math.ca/43-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers/43-3/paper43-3-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rispoli:2005:FPT,
author = "Fred J. Rispoli",
title = "{Fibonacci} Polytopes and Their Applications",
journal = j-FIB-QUART,
volume = "43",
number = "3",
pages = "227--233",
month = aug,
year = "2005",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:06 MDT 2011",
bibsource = "http://www.fq.math.ca/43-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers/43-3/paper43-3-5.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Munarini:2005:GFN,
author = "Emanuele Munarini",
title = "Generalized $q$-{Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "43",
number = "3",
pages = "234--242",
month = aug,
year = "2005",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:06 MDT 2011",
bibsource = "http://www.fq.math.ca/43-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers/43-3/paper43-3-6.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Chan:2005:AGR,
author = "Hei-Chi Chan",
title = "The Asymptotic Growth Rate of Random {Fibonacci} Type
Sequences",
journal = j-FIB-QUART,
volume = "43",
number = "3",
pages = "243--255",
month = aug,
year = "2005",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:06 MDT 2011",
bibsource = "http://www.fq.math.ca/43-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers/43-3/paper43-3-7.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kitaev:2005:LRC,
author = "Sergey Kitaev and Toufik Mansour",
title = "Linear Recurrences and {Chebyshev} Polynomials",
journal = j-FIB-QUART,
volume = "43",
number = "3",
pages = "256--261",
month = aug,
year = "2005",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:06 MDT 2011",
bibsource = "http://www.fq.math.ca/43-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers/43-3/paper43-3-8.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Shallit:2005:MPN,
author = "Jeffrey Shallit",
title = "The Mathematics of {Per N{\o}rg{\aa}rd}'s Rhythmic
Infinity System",
journal = j-FIB-QUART,
volume = "43",
number = "3",
pages = "262--268",
month = aug,
year = "2005",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:06 MDT 2011",
bibsource = "http://www.fq.math.ca/43-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers/43-3/paper43-3-9.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Klavzar:2005:FCR,
author = "Sandi Klav{\v{z}}ar and Petra {\v{Z}}igert",
title = "{Fibonacci} Cubes are the Resonance Graphs of
{Fibonaccenes}",
journal = j-FIB-QUART,
volume = "43",
number = "3",
pages = "269--276",
month = aug,
year = "2005",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:06 MDT 2011",
bibsource = "http://www.fq.math.ca/43-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers/43-3/paper43-3-10.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Euler:2005:EPSc,
author = "Russ Euler and Jawad Sadek",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "43",
number = "3",
pages = "277--282",
month = aug,
year = "2005",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:06 MDT 2011",
bibsource = "http://www.fq.math.ca/43-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/elementary43-3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2005:APSc,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "43",
number = "3",
pages = "283--289",
month = aug,
year = "2005",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:06 MDT 2011",
bibsource = "http://www.fq.math.ca/43-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/advanced43-3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Djordjevic:2005:TOD,
author = "Gospava B. Djordjevi{\'c}",
title = "On the {$K$ th}-order derivative sequences of
generalized {Fibonacci} and {Lucas} polynomials",
journal = j-FIB-QUART,
volume = "43",
number = "4",
pages = "290--298",
month = nov,
year = "2005",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:08 MDT 2011",
bibsource = "http://www.fq.math.ca/43-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/43-4/djordjevic.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Nyblom:2005:SRN,
author = "M. A. Nyblom",
title = "On the spectrum of real numbers revisited",
journal = j-FIB-QUART,
volume = "43",
number = "4",
pages = "299--301",
month = nov,
year = "2005",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:08 MDT 2011",
bibsource = "http://www.fq.math.ca/43-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers/43-4/paper43-4-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rao:2005:HNA,
author = "B. Srinivasa Rao",
title = "Heptagonal numbers in the associated {Pell} sequence
and {Diophantine} equations $ x^2 (5 x - 3)^2 = 8 y^2
\pm 4 $",
journal = j-FIB-QUART,
volume = "43",
number = "4",
pages = "302--306",
month = nov,
year = "2005",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:08 MDT 2011",
bibsource = "http://www.fq.math.ca/43-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers/43-4/paper43-4-3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Mansour:2005:GSI,
author = "Toufik Mansour",
title = "Generalizations of some identities involving the
{Fibonacci} numbers",
journal = j-FIB-QUART,
volume = "43",
number = "4",
pages = "307--315",
month = nov,
year = "2005",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:08 MDT 2011",
bibsource = "http://www.fq.math.ca/43-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers/43-4/paper43-4-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hirschhorn:2005:NTI,
author = "Michael D. Hirschhorn",
title = "Non-trivial intertwined second-order recurrence
relations",
journal = j-FIB-QUART,
volume = "43",
number = "4",
pages = "316--325",
month = nov,
year = "2005",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:08 MDT 2011",
bibsource = "http://www.fq.math.ca/43-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers/43-4/paper43-4-5.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anderson:2005:BRB,
author = "Peter G. Anderson",
title = "Book Review: {{\booktitle{Proofs that Really Count:
The Art of Combinatorial Proof}}, by Arthur T. Benjamin
and Jennifer J. Quinn}",
journal = j-FIB-QUART,
volume = "43",
number = "4",
pages = "326--327",
month = nov,
year = "2005",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:08 MDT 2011",
bibsource = "http://www.fq.math.ca/43-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "See \cite{Benjamin:2003:PRC}.",
URL = "http://www.fq.math.ca/Papers/43-4/paper43-4-6.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Santos:2005:PGP,
author = "Jos{\'e} Pl{\'\i}nio O. Santos and Milo{\v{s}}
Ivkovi{\'c}",
title = "Polynomial generalizations of the {Pell} sequences and
the {Fibonacci} sequence",
journal = j-FIB-QUART,
volume = "43",
number = "4",
pages = "328--338",
month = nov,
year = "2005",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:08 MDT 2011",
bibsource = "http://www.fq.math.ca/43-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/43-4/ivkovic.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Biebighauser:2005:FDS,
author = "Daniel P. Biebighauser and Gerald A. Heuer",
title = "Final digit strings of powers where the exponents end
in 1, 3, 7 or 9",
journal = j-FIB-QUART,
volume = "43",
number = "4",
pages = "339--350",
month = nov,
year = "2005",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:08 MDT 2011",
bibsource = "http://www.fq.math.ca/43-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/43-4/biebighauser.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Jianguo:2005:RON,
author = "Xia Jianguo and Qin Hourong",
title = "On reverse order numbers of certain sequences and the
{Jacobi} symbol",
journal = j-FIB-QUART,
volume = "43",
number = "4",
pages = "351--358",
month = nov,
year = "2005",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:08 MDT 2011",
bibsource = "http://www.fq.math.ca/43-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/43-4/xia.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Sun:2005:NTS,
author = "Yidong Sun",
title = "{Numerical} triangles and several classical
sequences",
journal = j-FIB-QUART,
volume = "43",
number = "4",
pages = "359--370",
month = nov,
year = "2005",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:08 MDT 2011",
bibsource = "http://www.fq.math.ca/43-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/43-4/sun.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Euler:2005:EPSd,
author = "Russ Euler and Jawad Sadek",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "43",
number = "4",
pages = "371--376",
month = nov,
year = "2005",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:08 MDT 2011",
bibsource = "http://www.fq.math.ca/43-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/elementary43-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2005:APSd,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "43",
number = "4",
pages = "377--382",
month = nov,
year = "2005",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:08 MDT 2011",
bibsource = "http://www.fq.math.ca/43-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/advanced43-4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2005:VI,
author = "Anonymous",
title = "Volume Index",
journal = j-FIB-QUART,
volume = "43",
number = "4",
pages = "383--??",
month = nov,
year = "2005",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:08 MDT 2011",
bibsource = "http://www.fq.math.ca/43-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Volume_Index/volume_index_2005.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2006:R,
author = "Anonymous",
title = "Referees",
journal = j-FIB-QUART,
volume = "44",
number = "1",
pages = "2--??",
month = feb,
year = "2006",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:10 MDT 2011",
bibsource = "http://www.fq.math.ca/44-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers/44-1/febreferee06.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Zhao:2006:ESI,
author = "Feng-Zhen Zhao and Tianming Wang",
title = "Errata for {``Some identities involving the powers of
the generalized Fibonacci numbers''}",
journal = j-FIB-QUART,
volume = "44",
number = "1",
pages = "3--6",
month = feb,
year = "2006",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:10 MDT 2011",
bibsource = "http://www.fq.math.ca/44-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "See \cite{Zhao:2003:SII}.",
URL = "http://www.fq.math.ca/Papers/44-1/quartzhao01_errata_2006.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Somer:2006:LSW,
author = "Lawrence Somer",
title = "{Lucas} sequences {$ U_k $} for which {$ U_{2 p} $}
and {$ U_p $} are pseudoprimes for almost all primes
$p$",
journal = j-FIB-QUART,
volume = "44",
number = "1",
pages = "7--12",
month = feb,
year = "2006",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:10 MDT 2011",
bibsource = "http://www.fq.math.ca/44-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/44-1/somer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bradley:2006:GAT,
author = "Sean Bradley and Patrick Brewer and Christopher
Brazfield",
title = "Generalized arithmetic triangles via convolution",
journal = j-FIB-QUART,
volume = "44",
number = "1",
pages = "13--19",
month = feb,
year = "2006",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:10 MDT 2011",
bibsource = "http://www.fq.math.ca/44-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/44-1/bradley.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hirschhorn:2006:CSO,
author = "Michael D. Hirschhorn",
title = "Coupled second-order recurrences",
journal = j-FIB-QUART,
volume = "44",
number = "1",
pages = "20--25",
month = feb,
year = "2006",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:10 MDT 2011",
bibsource = "http://www.fq.math.ca/44-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/44-1/hirschhorn1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hirschhorn:2006:CTO,
author = "Michael D. Hirschhorn",
title = "Coupled third-order recurrences",
journal = j-FIB-QUART,
volume = "44",
number = "1",
pages = "26--31",
month = feb,
year = "2006",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:10 MDT 2011",
bibsource = "http://www.fq.math.ca/44-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/44-1/hirschhorn2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Zhao:2006:FNT,
author = "Haixing Zhao and Xueliang Li",
title = "On the {Fibonacci} numbers of trees",
journal = j-FIB-QUART,
volume = "44",
number = "1",
pages = "32--38",
month = feb,
year = "2006",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:10 MDT 2011",
bibsource = "http://www.fq.math.ca/44-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/44-1/zhao.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Chang:2006:IIB,
author = "Ching-Hua Chang and Chung-Wei Ha",
title = "On identities involving {Bernoulli} and {Euler}
polynomials",
journal = j-FIB-QUART,
volume = "44",
number = "1",
pages = "39--45",
month = feb,
year = "2006",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:10 MDT 2011",
bibsource = "http://www.fq.math.ca/44-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/44-1/chang.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Holte:2006:FDA,
author = "John M. Holte",
title = "Fractal dimension of arithmetical structures of
generalized binomial coefficients modulo a prime",
journal = j-FIB-QUART,
volume = "44",
number = "1",
pages = "46--58",
month = feb,
year = "2006",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:10 MDT 2011",
bibsource = "http://www.fq.math.ca/44-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/44-1/holte.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Coleman:2006:PFS,
author = "Deidra A. Coleman and Christopher J. Dugan and Robert
A. McEwen and Clifford A. Reiter and Tran T. Tang",
title = "Periods of $ (q, r) $-{Fibonacci} sequences and
elliptic curves",
journal = j-FIB-QUART,
volume = "44",
number = "1",
pages = "59--70",
month = feb,
year = "2006",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:10 MDT 2011",
bibsource = "http://www.fq.math.ca/44-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/44-1/coleman.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Robbins:2006:STS,
author = "Neville Robbins",
title = "On sums of three squares",
journal = j-FIB-QUART,
volume = "44",
number = "1",
pages = "71--72",
month = feb,
year = "2006",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:10 MDT 2011",
bibsource = "http://www.fq.math.ca/44-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/44-1/robbins.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Chan:2006:AGR,
author = "Hei-Chi Chan",
title = "The asymptotic growth rate of random {Fibonacci} type
sequences {II}",
journal = j-FIB-QUART,
volume = "44",
number = "1",
pages = "73--84",
month = feb,
year = "2006",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:10 MDT 2011",
bibsource = "http://www.fq.math.ca/44-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/44-1/chan.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Euler:2006:EPSa,
author = "Russ Euler and Jawad Sadek",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "44",
number = "1",
pages = "85--90",
month = feb,
year = "2006",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:10 MDT 2011",
bibsource = "http://www.fq.math.ca/44-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/February2006elementary.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2006:APSa,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "44",
number = "1",
pages = "91--97",
month = feb,
year = "2006",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:10 MDT 2011",
bibsource = "http://www.fq.math.ca/44-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/February2006advanced.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wang:2006:SRP,
author = "Jun Wang and Xin Wang",
title = "On the set of reduced $ \phi $-partitions of a
positive integer",
journal = j-FIB-QUART,
volume = "44",
number = "2",
pages = "98--102",
month = may,
year = "2006",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:12 MDT 2011",
bibsource = "http://www.fq.math.ca/44-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/44-2/wang.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brison:2006:MLR,
author = "Owen J. Brison and J. Eurico Nogueira",
title = "Matrices and linear recurrences in finite fields",
journal = j-FIB-QUART,
volume = "44",
number = "2",
pages = "103--108",
month = may,
year = "2006",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:12 MDT 2011",
bibsource = "http://www.fq.math.ca/44-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/44-2/brison.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bundschuh:2006:GMI,
author = "P. Bundschuh and L. C. Hsu and P. J.-S. Shiue",
title = "Generalized {M{\"o}bius} inversion --- Theoretical and
computational aspects",
journal = j-FIB-QUART,
volume = "44",
number = "2",
pages = "109--116",
month = may,
year = "2006",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:12 MDT 2011",
bibsource = "http://www.fq.math.ca/44-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/44-2/bundschuh.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Zeng:2006:AWF,
author = "Jiang Zeng and Jin Zhou",
title = "Applications of {Waring}'s formula to some identities
of {Chebyshev} polynomials",
journal = j-FIB-QUART,
volume = "44",
number = "2",
pages = "117--120",
month = may,
year = "2006",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:12 MDT 2011",
bibsource = "http://www.fq.math.ca/44-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/44-2/zeng.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Sun:2006:PTN,
author = "Zhi-Hong Sun",
title = "Primality tests for numbers of the form $ k \cdot 2^m
\pm 1 $",
journal = j-FIB-QUART,
volume = "44",
number = "2",
pages = "121--130",
month = may,
year = "2006",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:12 MDT 2011",
bibsource = "http://www.fq.math.ca/44-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/44-2/sun1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Branson:2006:CII,
author = "David Branson",
title = "A combinatorial interpretation of identities involving
{Stirling} numbers and their generalizations",
journal = j-FIB-QUART,
volume = "44",
number = "2",
pages = "131--140",
month = may,
year = "2006",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:12 MDT 2011",
bibsource = "http://www.fq.math.ca/44-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/44-2/branson.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Chan:2006:T,
author = "Hei-Chi Chan",
title = "$ \pi $ in terms of $ \phi $",
journal = j-FIB-QUART,
volume = "44",
number = "2",
pages = "141--144",
month = may,
year = "2006",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:12 MDT 2011",
bibsource = "http://www.fq.math.ca/44-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/44-2/chan.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Sun:2006:EIC,
author = "Zhi-Hong Sun",
title = "Expansions and identities concerning {Lucas}
sequences",
journal = j-FIB-QUART,
volume = "44",
number = "2",
pages = "145--153",
month = may,
year = "2006",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:12 MDT 2011",
bibsource = "http://www.fq.math.ca/44-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/44-2/sun2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Corcino:2006:AGS,
author = "Roberto B. Corcino and Leetsch Charles Hsu and Evelyn
L. Tan",
title = "A $q$-analogue of generalized {Stirling} numbers",
journal = j-FIB-QUART,
volume = "44",
number = "2",
pages = "154--165",
month = may,
year = "2006",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:12 MDT 2011",
bibsource = "http://www.fq.math.ca/44-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/44-2/corcino.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brietzke:2006:GIA,
author = "Eduardo H. M. Brietzke",
title = "Generalization of an identity of {Andrews}",
journal = j-FIB-QUART,
volume = "44",
number = "2",
pages = "166--171",
month = may,
year = "2006",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:12 MDT 2011",
bibsource = "http://www.fq.math.ca/44-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/44-2/brietzke.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Seibert:2006:SCP,
author = "Jaroslav Seibert and Pavel Trojovsk{\'y}",
title = "On sums of certain products of {Lucas} numbers",
journal = j-FIB-QUART,
volume = "44",
number = "2",
pages = "172--180",
month = may,
year = "2006",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:12 MDT 2011",
bibsource = "http://www.fq.math.ca/44-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/44-2/seibert.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Euler:2006:EPSb,
author = "Russ Euler and Jawad Sadek",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "44",
number = "2",
pages = "181--186",
month = may,
year = "2006",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:12 MDT 2011",
bibsource = "http://www.fq.math.ca/44-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/May2006elementary.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2006:APSb,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "44",
number = "2",
pages = "187--193",
month = may,
year = "2006",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:12 MDT 2011",
bibsource = "http://www.fq.math.ca/44-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/May2006advanced.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Shaw:2006:PNG,
author = "Douglas J. Shaw",
title = "The pure numbers generated by the {Collatz} sequence",
journal = j-FIB-QUART,
volume = "44",
number = "3",
pages = "194--201",
month = aug,
year = "2006",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:14 MDT 2011",
bibsource = "http://www.fq.math.ca/44-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/44-3/shaw.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Jaroma:2006:PTP,
author = "John H. Jaroma",
title = "On primes and terms of prime or $ 2^k $ index in the
{Lehmer} sequences",
journal = j-FIB-QUART,
volume = "44",
number = "3",
pages = "202--208",
month = aug,
year = "2006",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:14 MDT 2011",
bibsource = "http://www.fq.math.ca/44-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/44-3/jaroma.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{French:2006:FRF,
author = "Christopher P. French",
title = "Fifth roots of {Fibonacci} fractions",
journal = j-FIB-QUART,
volume = "44",
number = "3",
pages = "209--215",
month = aug,
year = "2006",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:14 MDT 2011",
bibsource = "http://www.fq.math.ca/44-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/44-3/french.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Goli:2006:FND,
author = "Jovan Dj. Goli",
title = "{Fibonacci} numbers and decimation of binary
sequences",
journal = j-FIB-QUART,
volume = "44",
number = "3",
pages = "216--223",
month = aug,
year = "2006",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:14 MDT 2011",
bibsource = "http://www.fq.math.ca/44-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/44-3/golic.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Muller:2006:SRW,
author = "Siguna M{\"u}ller",
title = "Some remarks on {Williams}' public-key crypto
functions",
journal = j-FIB-QUART,
volume = "44",
number = "3",
pages = "224--234",
month = aug,
year = "2006",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:14 MDT 2011",
bibsource = "http://www.fq.math.ca/44-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/44-3/muller.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hendel:2006:LEF,
author = "Russell Jay Hendel",
title = "Linear equalities in {Fibonacci} numbers",
journal = j-FIB-QUART,
volume = "44",
number = "3",
pages = "235--248",
month = aug,
year = "2006",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:14 MDT 2011",
bibsource = "http://www.fq.math.ca/44-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/44-3/hendel.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2006:LSW,
author = "Florian Luca and Lawrence Somer",
title = "{Lucas} sequences for which {$ 4 | \phi (|u_n|) $} for
almost all $n$",
journal = j-FIB-QUART,
volume = "44",
number = "3",
pages = "249--262",
month = aug,
year = "2006",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:14 MDT 2011",
bibsource = "http://www.fq.math.ca/44-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/44-3/luca.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gauthier:2006:SEI,
author = "N. Gauthier and Paul S. Bruckman",
title = "Sums of the even integral powers of the cosecant and
secant",
journal = j-FIB-QUART,
volume = "44",
number = "3",
pages = "263--273",
month = aug,
year = "2006",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:14 MDT 2011",
bibsource = "http://www.fq.math.ca/44-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/44-3/gauthier.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lengyel:2006:IGF,
author = "Tam{\'a}s Lengyel",
title = "Identities for the generating function of the multiset
{$ \lfloor n \Phi^m \rfloor $} for $ m = - 1, 1, 2 $",
journal = j-FIB-QUART,
volume = "44",
number = "3",
pages = "274--276",
month = aug,
year = "2006",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:14 MDT 2011",
bibsource = "http://www.fq.math.ca/44-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/44-3/lengyel.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Euler:2006:EPSc,
author = "Russ Euler and Jawad Sadek",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "44",
number = "3",
pages = "277--282",
month = aug,
year = "2006",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:14 MDT 2011",
bibsource = "http://www.fq.math.ca/44-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/August2006elementary.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2006:APSc,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "44",
number = "3",
pages = "283--289",
month = aug,
year = "2006",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:14 MDT 2011",
bibsource = "http://www.fq.math.ca/44-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/August2006advanced.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bunder:2006:SM,
author = "Martin W. Bunder",
title = "Self matching in $ \lfloor n \alpha \rfloor $",
journal = j-FIB-QUART,
volume = "44",
number = "4",
pages = "290--296",
month = nov,
year = "2006",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:16 MDT 2011",
bibsource = "http://www.fq.math.ca/44-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/44-4/bunder.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cooper:2006:CFP,
author = "Joshua N. Cooper",
title = "Continued fractions with partial quotients bounded in
average",
journal = j-FIB-QUART,
volume = "44",
number = "4",
pages = "297--301",
month = nov,
year = "2006",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:16 MDT 2011",
bibsource = "http://www.fq.math.ca/44-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/44-4/cooper.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gould:2006:IFS,
author = "H. W. Gould",
title = "The inverse of a finite series and a third-order
recurrent sequence",
journal = j-FIB-QUART,
volume = "44",
number = "4",
pages = "302--315",
month = nov,
year = "2006",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:16 MDT 2011",
bibsource = "http://www.fq.math.ca/44-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/44-4/gould.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Shonhiwa:2006:CPR,
author = "Temba Shonhiwa",
title = "Compositions with pairwise relatively prime summands
within a restricted setting",
journal = j-FIB-QUART,
volume = "44",
number = "4",
pages = "316--323",
month = nov,
year = "2006",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:16 MDT 2011",
bibsource = "http://www.fq.math.ca/44-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/44-4/shonhiwa.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lengyel:2006:CBP,
author = "Tam{\'a}s Lengyel",
title = "A counting based proof of the generalized
{Zeckendorf}'s theorem",
journal = j-FIB-QUART,
volume = "44",
number = "4",
pages = "324--325",
month = nov,
year = "2006",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:16 MDT 2011",
bibsource = "http://www.fq.math.ca/44-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/44-4/lengyel.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Sun:2006:CPC,
author = "Zhi-Hong Sun",
title = "A criterion for polynomials to be congruent to the
product of linear polynomials $ \pmod {p} $",
journal = j-FIB-QUART,
volume = "44",
number = "4",
pages = "326--329",
month = nov,
year = "2006",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:16 MDT 2011",
bibsource = "http://www.fq.math.ca/44-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/44-4/sun.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Benjamin:2006:SAW,
author = "Arthur T. Benjamin",
title = "Self-avoiding walks and {Fibonacci} numbers",
journal = j-FIB-QUART,
volume = "44",
number = "4",
pages = "330--334",
month = nov,
year = "2006",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:16 MDT 2011",
bibsource = "http://www.fq.math.ca/44-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/44-4/benjamin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Krcadinac:2006:NGG,
author = "Vedran Kr{\v{c}}adinac",
title = "A new generalization of the golden ratio",
journal = j-FIB-QUART,
volume = "44",
number = "4",
pages = "335--340",
month = nov,
year = "2006",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:16 MDT 2011",
bibsource = "http://www.fq.math.ca/44-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/44-4/krcadinac.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Maniscalco:2006:IN,
author = "C. Maniscalco",
title = "Isodecimal numbers",
journal = j-FIB-QUART,
volume = "44",
number = "4",
pages = "341--346",
month = nov,
year = "2006",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:16 MDT 2011",
bibsource = "http://www.fq.math.ca/44-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/44-4/maniscalco.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Young:2006:LBN,
author = "Paul Thomas Young",
title = "On {Lucas--Bernoulli} numbers",
journal = j-FIB-QUART,
volume = "44",
number = "4",
pages = "347--357",
month = nov,
year = "2006",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:16 MDT 2011",
bibsource = "http://www.fq.math.ca/44-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/44-4/young.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Somer:2006:SOL,
author = "Lawrence Somer",
title = "Second-order linear recurrences of composite numbers",
journal = j-FIB-QUART,
volume = "44",
number = "4",
pages = "358--361",
month = nov,
year = "2006",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:16 MDT 2011",
bibsource = "http://www.fq.math.ca/44-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/44-4/somer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wagner:2006:FNG,
author = "Stephan G. Wagner",
title = "The {Fibonacci} number of generalized {Petersen}
graphs",
journal = j-FIB-QUART,
volume = "44",
number = "4",
pages = "362--367",
month = nov,
year = "2006",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:16 MDT 2011",
bibsource = "http://www.fq.math.ca/44-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/44-4/wagner.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Robbins:2006:NPP,
author = "Neville Robbins",
title = "On the number of primitive {Pythagorean} triangles
with a given inradius",
journal = j-FIB-QUART,
volume = "44",
number = "4",
pages = "368--369",
month = nov,
year = "2006",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:16 MDT 2011",
bibsource = "http://www.fq.math.ca/44-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/44-4/robbins.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Euler:2006:EPSd,
author = "Russ Euler and Jawad Sadek",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "44",
number = "4",
pages = "370--375",
month = nov,
year = "2006",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:16 MDT 2011",
bibsource = "http://www.fq.math.ca/44-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/November2006elementary.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2006:APSd,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "44",
number = "4",
pages = "376--382",
month = nov,
year = "2006",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:16 MDT 2011",
bibsource = "http://www.fq.math.ca/44-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/November2006advanced.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2006:VI,
author = "Anonymous",
title = "Volume Index",
journal = j-FIB-QUART,
volume = "44",
number = "4",
pages = "383--??",
month = nov,
year = "2006",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:16 MDT 2011",
bibsource = "http://www.fq.math.ca/44-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Volume_Index/volume_index_2006.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2007:R,
author = "Anonymous",
title = "Referees",
journal = j-FIB-QUART,
volume = "45",
number = "1",
pages = "2--??",
month = feb,
year = "2007",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:18 MDT 2011",
bibsource = "http://www.fq.math.ca/45-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers/45-1/febreferee06_for_2007_issue.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bodroza-Pantic:2007:ASC,
author = "Olga Bodro{\v{z}}a-Panti{\'c} and Angelina
Ili{\'c}-Kova{\v{c}}evi{\'c}",
title = "Algebraic structure count of angular hexagonal-square
chains",
journal = j-FIB-QUART,
volume = "45",
number = "1",
pages = "3--9",
month = feb,
year = "2007",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:18 MDT 2011",
bibsource = "http://www.fq.math.ca/45-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/45-1/bodroza.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Somer:2007:SMO,
author = "Lawrence Somer",
title = "Special multipliers of $k$ th-order linear recurrences
modulo $ p^r $",
journal = j-FIB-QUART,
volume = "45",
number = "1",
pages = "10--21",
month = feb,
year = "2007",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:18 MDT 2011",
bibsource = "http://www.fq.math.ca/45-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/45-1/somer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ewell:2007:AED,
author = "John A. Ewell",
title = "Additive evaluation of the divisor function",
journal = j-FIB-QUART,
volume = "45",
number = "1",
pages = "22--25",
month = feb,
year = "2007",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:18 MDT 2011",
bibsource = "http://www.fq.math.ca/45-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/45-1/ewell.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Jia:2007:AGF,
author = "C. Z. Jia and H. M. Liu and T. M. Wang",
title = "$q$-analogs of generalized {Fibonacci} and {Lucas}
polynomials",
journal = j-FIB-QUART,
volume = "45",
number = "1",
pages = "26--34",
month = feb,
year = "2007",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:18 MDT 2011",
bibsource = "http://www.fq.math.ca/45-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/45-1/jia.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Neal:2007:FFH,
author = "David K. Neal",
title = "{Fibonacci} fractions from {Heron}'s square root
approximation of the golden ratio",
journal = j-FIB-QUART,
volume = "45",
number = "1",
pages = "35--38",
month = feb,
year = "2007",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:18 MDT 2011",
bibsource = "http://www.fq.math.ca/45-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/45-1/neal.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Benjamin:2007:FDC,
author = "Arthur T. Benjamin and Naiomi T. Cameron and Jennifer
J. Quinn",
title = "{Fibonacci} determinants --- a combinatorial
approach",
journal = j-FIB-QUART,
volume = "45",
number = "1",
pages = "39--55",
month = feb,
year = "2007",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:18 MDT 2011",
bibsource = "http://www.fq.math.ca/45-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "See errata \cite{Benjamin:2010:EFD}.",
URL = "http://www.fq.math.ca/Abstracts/45-1/benjamin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ballot:2007:RPP,
author = "Christian Ballot and Michele Elia",
title = "Rank and period of primes in the {Fibonacci} sequence.
{A} trichotomy",
journal = j-FIB-QUART,
volume = "45",
number = "1",
pages = "56--63",
month = feb,
year = "2007",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:18 MDT 2011",
bibsource = "http://www.fq.math.ca/45-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/45-1/ballot.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gil:2007:CPS,
author = "Juan B. Gil and Michael D. Weiner and Catalin Zara",
title = "Complete {Padovan} sequences in finite fields",
journal = j-FIB-QUART,
volume = "45",
number = "1",
pages = "64--75",
month = feb,
year = "2007",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:18 MDT 2011",
bibsource = "http://www.fq.math.ca/45-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/45-1/gil.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Chuan:2007:TNE,
author = "Wai-Fong Chuan and Fei Yu",
title = "Three new extraction formulae",
journal = j-FIB-QUART,
volume = "45",
number = "1",
pages = "76--84",
month = feb,
year = "2007",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:18 MDT 2011",
bibsource = "http://www.fq.math.ca/45-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/45-1/chuan.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Euler:2007:EPSa,
author = "Russ Euler and Jawad Sadek",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "45",
number = "1",
pages = "85--90",
month = feb,
year = "2007",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:18 MDT 2011",
bibsource = "http://www.fq.math.ca/45-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/February2007elementary.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2007:APSa,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "45",
number = "1",
pages = "91--97",
month = feb,
year = "2007",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:18 MDT 2011",
bibsource = "http://www.fq.math.ca/45-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/February2007advancednewversion.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2007:FNF,
author = "Florian Luca and Laszlo Szalay",
title = "{Fibonacci} numbers of the form $ p^a \pm p^b + 1 $",
journal = j-FIB-QUART,
volume = "45",
number = "2",
pages = "98--103",
month = may,
year = "2007",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:20 MDT 2011",
bibsource = "http://www.fq.math.ca/45-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/45-2/luca.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Munagi:2007:CSF,
author = "Augustine O. Munagi",
title = "Combinations with successions and {Fibonacci}
numbers",
journal = j-FIB-QUART,
volume = "45",
number = "2",
pages = "104--114",
month = may,
year = "2007",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:20 MDT 2011",
bibsource = "http://www.fq.math.ca/45-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/45-2/munagi.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brown:2007:NDS,
author = "Ron Brown and Jonathan L. Merzel",
title = "The number of {Ducci} sequences with given period",
journal = j-FIB-QUART,
volume = "45",
number = "2",
pages = "115--121",
month = may,
year = "2007",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:20 MDT 2011",
bibsource = "http://www.fq.math.ca/45-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/45-2/brown.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Evans:2007:NOP,
author = "Ronald Evans and Jonathan Pearlman",
title = "Nonexistence of odd perfect numbers of a certain
form",
journal = j-FIB-QUART,
volume = "45",
number = "2",
pages = "122--127",
month = may,
year = "2007",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:20 MDT 2011",
bibsource = "http://www.fq.math.ca/45-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/45-2/evans.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hendel:2007:F,
author = "Russell Jay Hendel",
title = "Factorizations of {$ \sum_{j = i}^{n + i - 1} F_{a j -
b} $}",
journal = j-FIB-QUART,
volume = "45",
number = "2",
pages = "128--132",
month = may,
year = "2007",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:20 MDT 2011",
bibsource = "http://www.fq.math.ca/45-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/45-2/hendel.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Liu:2007:SCF,
author = "Guodong Liu",
title = "Some computational formulas for {N{\"o}rlund}
numbers",
journal = j-FIB-QUART,
volume = "45",
number = "2",
pages = "133--137",
month = may,
year = "2007",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:20 MDT 2011",
bibsource = "http://www.fq.math.ca/45-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/45-2/liu.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wood:2007:BPF,
author = "Philip Matchett Wood",
title = "Bijective proofs for {Fibonacci} identities related to
{Zeckendorf}'s theorem",
journal = j-FIB-QUART,
volume = "45",
number = "2",
pages = "138--145",
month = may,
year = "2007",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:20 MDT 2011",
bibsource = "http://www.fq.math.ca/45-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/45-2/wood.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wu:2007:SPB,
author = "Ming Wu and Hao Pan",
title = "Sums of products of {Bernoulli} numbers of the second
kind",
journal = j-FIB-QUART,
volume = "45",
number = "2",
pages = "146--150",
month = may,
year = "2007",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:20 MDT 2011",
bibsource = "http://www.fq.math.ca/45-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/45-2/wu.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Eloff:2007:NFI,
author = "Daniel Eloff and Blair K. Spearman and Kenneth S.
Williams",
title = "A number field with infinitely many normal integral
bases",
journal = j-FIB-QUART,
volume = "45",
number = "2",
pages = "151--154",
month = may,
year = "2007",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:20 MDT 2011",
bibsource = "http://www.fq.math.ca/45-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/45-2/eloff.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brockman:2007:ABC,
author = "Greg Brockman and Ryan J. Zerr",
title = "Asymptotic behavior of certain {Ducci} sequences",
journal = j-FIB-QUART,
volume = "45",
number = "2",
pages = "155--163",
month = may,
year = "2007",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:20 MDT 2011",
bibsource = "http://www.fq.math.ca/45-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/45-2/brockman.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ma:2007:SII,
author = "Rong Ma and Wenpeng Zhang",
title = "Several identities involving the {Fibonacci} numbers
and {Lucas} numbers",
journal = j-FIB-QUART,
volume = "45",
number = "2",
pages = "164--170",
month = may,
year = "2007",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:20 MDT 2011",
bibsource = "http://www.fq.math.ca/45-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/45-2/ma.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Curtin:2007:SFF,
author = "Brian Curtin and Ena Salter and David Stone",
title = "Some formulae for the {Fibonacci} numbers",
journal = j-FIB-QUART,
volume = "45",
number = "2",
pages = "171--180",
month = may,
year = "2007",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:20 MDT 2011",
bibsource = "http://www.fq.math.ca/45-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/45-2/curtin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Euler:2007:EPSb,
author = "Russ Euler and Jawad Sadek",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "45",
number = "2",
pages = "181--186",
month = may,
year = "2007",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:20 MDT 2011",
bibsource = "http://www.fq.math.ca/45-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/elementary45-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2007:APSb,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "45",
number = "2",
pages = "187--193",
month = may,
year = "2007",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:20 MDT 2011",
bibsource = "http://www.fq.math.ca/45-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/advanced45-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Long:2007:EGS,
author = "Calvin Long and William C. Schulz and Shiro Ando",
title = "An extension of the {GCD Star of David theorem}",
journal = j-FIB-QUART,
volume = "45",
number = "3",
pages = "194--201",
month = aug,
year = "2007",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:22 MDT 2011",
bibsource = "http://www.fq.math.ca/45-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/45-3/long.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Osler:2007:VLP,
author = "Thomas J. Osler",
title = "Vieta-like products of nested radicals with
{Fibonacci} and {Lucas} numbers",
journal = j-FIB-QUART,
volume = "45",
number = "3",
pages = "202--204",
month = aug,
year = "2007",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:22 MDT 2011",
bibsource = "http://www.fq.math.ca/45-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/45-3/osler.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ewell:2007:SDF,
author = "John A. Ewell",
title = "On the sum-of-divisors function",
journal = j-FIB-QUART,
volume = "45",
number = "3",
pages = "205--207",
month = aug,
year = "2007",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:22 MDT 2011",
bibsource = "http://www.fq.math.ca/45-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/45-3/ewell.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bruckman:2007:STI,
author = "Paul S. Bruckman and Ray S. Melham",
title = "Some theorems involving powers of generalized
{Fibonacci} numbers at non-equidistant points",
journal = j-FIB-QUART,
volume = "45",
number = "3",
pages = "208--220",
month = aug,
year = "2007",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:22 MDT 2011",
bibsource = "http://www.fq.math.ca/45-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/45-3/bruckman.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Chan:2007:AFF,
author = "Hei-Chi Chan",
title = "From {Andrews}' formula for the {Fibonacci} numbers to
the {Rogers--Ramanujan} identities",
journal = j-FIB-QUART,
volume = "45",
number = "3",
pages = "221--229",
month = aug,
year = "2007",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:22 MDT 2011",
bibsource = "http://www.fq.math.ca/45-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/45-3/chan.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Robbins:2007:RFS,
author = "Neville Robbins",
title = "A recursive formula for sums of squares",
journal = j-FIB-QUART,
volume = "45",
number = "3",
pages = "230--232",
month = aug,
year = "2007",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:22 MDT 2011",
bibsource = "http://www.fq.math.ca/45-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/45-3/robbins.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Burns:2007:CNW,
author = "Chris Burns and Benjamin Purcell",
title = "Counting the number of winning binary strings in the
$1$-dimensional same game",
journal = j-FIB-QUART,
volume = "45",
number = "3",
pages = "233--238",
month = aug,
year = "2007",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:22 MDT 2011",
bibsource = "http://www.fq.math.ca/45-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/45-3/burns.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlip:2007:CGI,
author = "Walter Carlip and Martina Mincheva",
title = "Component growth of iteration graphs under the
squaring map modulo $ p^k $",
journal = j-FIB-QUART,
volume = "45",
number = "3",
pages = "239--246",
month = aug,
year = "2007",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:22 MDT 2011",
bibsource = "http://www.fq.math.ca/45-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/45-3/carlip.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wagner:2007:FNF,
author = "Stephan G. Wagner",
title = "The {Fibonacci} number of {Fibonacci} trees and a
related family of polynomial recurrence systems",
journal = j-FIB-QUART,
volume = "45",
number = "3",
pages = "247--253",
month = aug,
year = "2007",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:22 MDT 2011",
bibsource = "http://www.fq.math.ca/45-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/45-3/wagner.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bode:2007:CFS,
author = "Jens P. Bode and Heiko Harborth and Clark Kimberling",
title = "Complementary {Fibonacci} sequences",
journal = j-FIB-QUART,
volume = "45",
number = "3",
pages = "254--264",
month = aug,
year = "2007",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:22 MDT 2011",
bibsource = "http://www.fq.math.ca/45-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/45-3/bode.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Panda:2007:SBC,
author = "G. K. Panda",
title = "Sequence balancing and cobalancing numbers",
journal = j-FIB-QUART,
volume = "45",
number = "3",
pages = "265--271",
month = aug,
year = "2007",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:22 MDT 2011",
bibsource = "http://www.fq.math.ca/45-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/45-3/panda.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Grundman:2007:CZN,
author = "Helen G. Grundman",
title = "Consecutive {Zeckendorf--Niven} and
lazy-{Fibonacci--Niven} numbers",
journal = j-FIB-QUART,
volume = "45",
number = "3",
pages = "272--276",
month = aug,
year = "2007",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:22 MDT 2011",
bibsource = "http://www.fq.math.ca/45-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/45-3/grundman.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Euler:2007:EPSc,
author = "Russ Euler and Jawad Sadek",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "45",
number = "3",
pages = "277--282",
month = aug,
year = "2007",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:22 MDT 2011",
bibsource = "http://www.fq.math.ca/45-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/elementary45-3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2007:APSc,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "45",
number = "3",
pages = "283--289",
month = aug,
year = "2007",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:22 MDT 2011",
bibsource = "http://www.fq.math.ca/45-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/advanced45-3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2007:MPS,
author = "Anonymous",
title = "In Memoriam: {Patricia A. Solsaa}",
journal = j-FIB-QUART,
volume = "45",
number = "4",
pages = "290--??",
month = nov,
year = "2007",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:25 MDT 2011",
bibsource = "http://www.fq.math.ca/45-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/45-4/quartpatty04_2007.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Boyadzhiev:2007:DPE,
author = "Khristo N. Boyadzhiev",
title = "Derivative polynomials for $ \tanh $, $ \tan $, $
\sech $ and $ \sec $ in explicit form",
journal = j-FIB-QUART,
volume = "45",
number = "4",
pages = "291--303",
month = nov,
year = "2007",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:25 MDT 2011",
bibsource = "http://www.fq.math.ca/45-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/45-4/boyadzhiev.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kimberling:2007:EUR,
author = "Clark Kimberling",
title = "The equation $ m^2 - 4 k = 5 n^2 $ and unique
representations of positive integers",
journal = j-FIB-QUART,
volume = "45",
number = "4",
pages = "304--312",
month = nov,
year = "2007",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:25 MDT 2011",
bibsource = "http://www.fq.math.ca/45-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/45-4/kimberling.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Phillips:2007:IDS,
author = "George M. Phillips",
title = "Index-doubling in sequences by {Aitken} acceleration",
journal = j-FIB-QUART,
volume = "45",
number = "4",
pages = "313--321",
month = nov,
year = "2007",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:25 MDT 2011",
bibsource = "http://www.fq.math.ca/45-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/45-4/phillips.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2007:DE,
author = "Florian Luca and Alain Togb{\'e}",
title = "On the {Diophantine} equation $ x^2 + 7^{2 k} = y^n
$",
journal = j-FIB-QUART,
volume = "45",
number = "4",
pages = "322--326",
month = nov,
year = "2007",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:25 MDT 2011",
bibsource = "http://www.fq.math.ca/45-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/45-4/luca.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Iannucci:2007:CNF,
author = "Douglas E. Iannucci and Florian Luca",
title = "{Catalan} numbers, factorials, and sums of aliquot
parts",
journal = j-FIB-QUART,
volume = "45",
number = "4",
pages = "327--336",
month = nov,
year = "2007",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:25 MDT 2011",
bibsource = "http://www.fq.math.ca/45-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/45-4/iannucci.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gould:2007:PNW,
author = "H. W. Gould and Jocelyn Quaintance",
title = "Products of numbers which obey a {Fibonacci}-type
recurrence",
journal = j-FIB-QUART,
volume = "45",
number = "4",
pages = "337--346",
month = nov,
year = "2007",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:25 MDT 2011",
bibsource = "http://www.fq.math.ca/45-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/45-4/gould.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Dafnis:2007:ROK,
author = "Spiros D. Dafnis and Frosso S. Makri and Andreas N.
Philippou",
title = "Restricted occupancy of $s$ kinds of cells and
generalized {Pascal} triangles",
journal = j-FIB-QUART,
volume = "45",
number = "4",
pages = "347--356",
month = nov,
year = "2007",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:25 MDT 2011",
bibsource = "http://www.fq.math.ca/45-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/45-4/dafnis.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carson:2007:PRR,
author = "T. Richard Carson",
title = "Periodic recurrence relations and continued
fractions",
journal = j-FIB-QUART,
volume = "45",
number = "4",
pages = "357--361",
month = nov,
year = "2007",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:25 MDT 2011",
bibsource = "http://www.fq.math.ca/45-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/45-4/carson.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Yabuta:2007:ACP,
author = "Minoru Yabuta",
title = "The {ABC}-conjecture and the powerful numbers in
{Lucas} sequences",
journal = j-FIB-QUART,
volume = "45",
number = "4",
pages = "362--365",
month = nov,
year = "2007",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:25 MDT 2011",
bibsource = "http://www.fq.math.ca/45-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/45-4/yabuta.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Phillips:2007:RTI,
author = "George M. Phillips",
title = "Report on the {Twelfth International Conference}",
journal = j-FIB-QUART,
volume = "45",
number = "4",
pages = "366--367",
month = nov,
year = "2007",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:25 MDT 2011",
bibsource = "http://www.fq.math.ca/45-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers/45-4/quartphillips04_2007.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Euler:2007:EPSd,
author = "Russ Euler and Jawad Sadek",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "45",
number = "4",
pages = "368--375",
month = nov,
year = "2007",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:25 MDT 2011",
bibsource = "http://www.fq.math.ca/45-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/November2007elementary.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2007:APSd,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "45",
number = "4",
pages = "376--382",
month = nov,
year = "2007",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:25 MDT 2011",
bibsource = "http://www.fq.math.ca/45-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/November2007advanced.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2007:VI,
author = "Anonymous",
title = "Volume Index",
journal = j-FIB-QUART,
volume = "45",
number = "4",
pages = "383--??",
month = nov,
year = "2007",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:25 MDT 2011",
bibsource = "http://www.fq.math.ca/45-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Volume_Index/volume_index_2007.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Catan:2008:LFA,
author = "Joanne Catan",
title = "Letter to {Fibonacci Association} --- 2008\slash 2009
Subscription",
journal = j-FIB-QUART,
volume = "46/47",
number = "1",
pages = "2--4",
month = feb,
year = "2008\slash 2009",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:27 MDT 2011",
bibsource = "http://www.fq.math.ca/46/47-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers/46_47-1/2008membersletter.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Johnson:2008:RTI,
author = "Marjorie Bicknell Johnson",
title = "A Report on the {Thirteenth International Conference
on Fibonacci Numbers and Their Applications}",
journal = j-FIB-QUART,
volume = "46/47",
number = "1",
pages = "5--6",
month = feb,
year = "2008\slash 2009",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:27 MDT 2011",
bibsource = "http://www.fq.math.ca/46/47-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers/46_47-1/Johnson_Report_11-08.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Benjamin:2008:CAF,
author = "Arthur T. Benjamin and Sean S. Plott",
title = "A Combinatorial Approach to {Fibonomial}
Coefficients",
journal = j-FIB-QUART,
volume = "46/47",
number = "1",
pages = "7--9",
month = feb,
year = "2008\slash 2009",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:27 MDT 2011",
bibsource = "http://www.fq.math.ca/46/47-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/46_47-1/benjamin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ardal:2008:RRI,
author = "Hayri Ardal and David S. Gunderson and Veselin Jungic
and Bruce M. Landman and Kevin Williamson",
title = "{Ramsey} Results Involving the {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "46/47",
number = "1",
pages = "10--17",
month = feb,
year = "2008\slash 2009",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:27 MDT 2011",
bibsource = "http://www.fq.math.ca/46/47-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/46_47-1/landman.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Edwards:2008:PLT,
author = "Kenneth Edwards",
title = "A {Pascal}-Like Triangle Related to the {Tribonacci}
Numbers",
journal = j-FIB-QUART,
volume = "46/47",
number = "1",
pages = "18--25",
month = feb,
year = "2008\slash 2009",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:27 MDT 2011",
bibsource = "http://www.fq.math.ca/46/47-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/46_47-1/edwards.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Keepers:2008:HOL,
author = "Kyle Keepers and Paul Thomas Young",
title = "On Higher Order {Lucas--Bernoulli} Numbers",
journal = j-FIB-QUART,
volume = "46/47",
number = "1",
pages = "26--31",
month = feb,
year = "2008\slash 2009",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:27 MDT 2011",
bibsource = "http://www.fq.math.ca/46/47-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/46_47-1/young.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Chan:2008:MTF,
author = "Hei-Chi Chan",
title = "{Machin}-Type Formulas Expressing $ \pi $ in Terms of
$ \phi $",
journal = j-FIB-QUART,
volume = "46/47",
number = "1",
pages = "32--37",
month = feb,
year = "2008\slash 2009",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:27 MDT 2011",
bibsource = "http://www.fq.math.ca/46/47-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/46_47-1/chan.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Booth:2008:BPP,
author = "Robert Booth and Hieu D. Nguyen",
title = "{Bernoulli} Polynomials and {Pascal}'s Square",
journal = j-FIB-QUART,
volume = "46/47",
number = "1",
pages = "38--47",
month = feb,
year = "2008\slash 2009",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:27 MDT 2011",
bibsource = "http://www.fq.math.ca/46/47-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/46_47-1/nguyen.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kahane:2008:NRI,
author = "Charles S. Kahane",
title = "A Note on {Ramus}' Identity and Associated Recursion
Relations",
journal = j-FIB-QUART,
volume = "46/47",
number = "1",
pages = "48--52",
month = feb,
year = "2008\slash 2009",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:27 MDT 2011",
bibsource = "http://www.fq.math.ca/46/47-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/46_47-1/kahane.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Zhao:2008:CTF,
author = "Yufei Zhao",
title = "The Coefficients of a Truncated {Fibonacci} Power
Series",
journal = j-FIB-QUART,
volume = "46/47",
number = "1",
pages = "53--55",
month = feb,
year = "2008\slash 2009",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:27 MDT 2011",
bibsource = "http://www.fq.math.ca/46/47-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/46_47-1/zhao.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Garnier:2008:FNT,
author = "N. Garnier and O. Ramar{\'e}",
title = "{Fibonacci} Numbers and Trigonometric Identities",
journal = j-FIB-QUART,
volume = "46/47",
number = "1",
pages = "56--61",
month = feb,
year = "2008\slash 2009",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:27 MDT 2011",
bibsource = "http://www.fq.math.ca/46/47-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/46_47-1/ramare.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Stoll:2008:HMF,
author = "Thomas Stoll",
title = "On {Hofstadter}'s Married Functions",
journal = j-FIB-QUART,
volume = "46/47",
number = "1",
pages = "62--67",
month = feb,
year = "2008\slash 2009",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:27 MDT 2011",
bibsource = "http://www.fq.math.ca/46/47-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/46_47-1/stoll.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gica:2008:QRF,
author = "Alexandru Gica",
title = "Quadratic Residues in {Fibonacci} Sequences",
journal = j-FIB-QUART,
volume = "46/47",
number = "1",
pages = "68--72",
month = feb,
year = "2008\slash 2009",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:27 MDT 2011",
bibsource = "http://www.fq.math.ca/46/47-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/46_47-1/gica.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Smith:2008:UFI,
author = "Neal O. Smith",
title = "On An `Uncounted' {Fibonacci} Identity and Its
$q$-Analogue",
journal = j-FIB-QUART,
volume = "46/47",
number = "1",
pages = "73--78",
month = feb,
year = "2008\slash 2009",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:27 MDT 2011",
bibsource = "http://www.fq.math.ca/46/47-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/46_47-1/smith.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Vornicescu:2008:DCH,
author = "Neculae Vornicescu",
title = "Disjoint Covering of {$N$} By a Homogeneous Linear
Recurrence",
journal = j-FIB-QUART,
volume = "46/47",
number = "1",
pages = "79--84",
month = feb,
year = "2008\slash 2009",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:27 MDT 2011",
bibsource = "http://www.fq.math.ca/46/47-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/46_47-1/vornicescu.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Euler:2008:EPSa,
author = "Russ Euler and Jawad Sadek",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "46/47",
number = "1",
pages = "85--90",
month = feb,
year = "2008\slash 2009",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:27 MDT 2011",
bibsource = "http://www.fq.math.ca/46/47-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/Elem2008.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2008:APSa,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "46/47",
number = "1",
pages = "91--97",
month = feb,
year = "2008\slash 2009",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:27 MDT 2011",
bibsource = "http://www.fq.math.ca/46/47-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/Feb2008advanced.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Grundman:2008:ENS,
author = "H. G. Grundman",
title = "Escalator Number Sequences",
journal = j-FIB-QUART,
volume = "46/47",
number = "2",
pages = "98--102",
month = may,
year = "2008\slash 2009",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:29 MDT 2011",
bibsource = "http://www.fq.math.ca/46/47-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/46_47-2/grundman.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Stockmeyer:2008:STU,
author = "Paul K. Stockmeyer",
title = "A Smooth Tight Upper Bound for the {Fibonacci}
Representation Function {$ R(n) $}",
journal = j-FIB-QUART,
volume = "46/47",
number = "2",
pages = "103--106",
month = may,
year = "2008\slash 2009",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:29 MDT 2011",
bibsource = "http://www.fq.math.ca/46/47-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/46_47-2/stockmeyer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ozeki:2008:MS,
author = "Kiyota Ozeki",
title = "On {Melham}'s Sum",
journal = j-FIB-QUART,
volume = "46/47",
number = "2",
pages = "107--110",
month = may,
year = "2008\slash 2009",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:29 MDT 2011",
bibsource = "http://www.fq.math.ca/46/47-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/46_47-2/ozeki.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Fang:2008:ASN,
author = "Jin-Hui Fang",
title = "On almost superperfect numbers",
journal = j-FIB-QUART,
volume = "46/47",
number = "2",
pages = "111--114",
month = may,
year = "2008\slash 2009",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:29 MDT 2011",
bibsource = "http://www.fq.math.ca/46/47-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/46_47-2/fang.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Zarnowski:2008:CSM,
author = "Roger E. Zarnowski",
title = "The Congruence Structure of the $ 3 x + 1 $ Map",
journal = j-FIB-QUART,
volume = "46/47",
number = "2",
pages = "115--125",
month = may,
year = "2008\slash 2009",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:29 MDT 2011",
bibsource = "http://www.fq.math.ca/46/47-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/46_47-2/zarnowski.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cristea:2008:EWN,
author = "Ligia L. Cristea and Helmut Prodinger",
title = "$q$-Enumeration of Up-Down Words By Number of Rises",
journal = j-FIB-QUART,
volume = "46/47",
number = "2",
pages = "126--134",
month = may,
year = "2008\slash 2009",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:29 MDT 2011",
bibsource = "http://www.fq.math.ca/46/47-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/46_47-2/cristea.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bicknell-Johnson:2008:JRH,
author = "Marjorie Bicknell-Johnson",
title = "{Julia Robinson and Hilbert's Tenth Problem (DVD)}",
journal = j-FIB-QUART,
volume = "46/47",
number = "2",
pages = "135--??",
month = may,
year = "2008\slash 2009",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:29 MDT 2011",
bibsource = "http://www.fq.math.ca/46/47-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers/46_47-2/Johnson_DVD_11-08.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Liu:2008:IIL,
author = "Guodong Liu",
title = "An Identity Involving the {Lucas} Numbers and
{Stirling} Numbers",
journal = j-FIB-QUART,
volume = "46/47",
number = "2",
pages = "136--139",
month = may,
year = "2008\slash 2009",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:29 MDT 2011",
bibsource = "http://www.fq.math.ca/46/47-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/46_47-2/liu.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Magli:2008:IIB,
author = "Pierluigi Magli",
title = "Identities involving {Bernoulli} numbers related to
sums of powers of integers",
journal = j-FIB-QUART,
volume = "46/47",
number = "2",
pages = "140--145",
month = may,
year = "2008\slash 2009",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:29 MDT 2011",
bibsource = "http://www.fq.math.ca/46/47-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/46_47-2/magli.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Greene:2008:UFD,
author = "John Greene",
title = "The Unboundedness of a Family of Difference Equations
Over the Integers",
journal = j-FIB-QUART,
volume = "46/47",
number = "2",
pages = "146--152",
month = may,
year = "2008\slash 2009",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:29 MDT 2011",
bibsource = "http://www.fq.math.ca/46/47-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/46_47-2/greene.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ohtsuka:2008:SRF,
author = "Hideyuki Ohtsuka and Shigeru Nakamura",
title = "On the Sum of Reciprocal {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "46/47",
number = "2",
pages = "153--159",
month = may,
year = "2008\slash 2009",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:29 MDT 2011",
bibsource = "http://www.fq.math.ca/46/47-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/46_47-2/ohtsuka.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{McKenzie:2008:PPS,
author = "Thomas McKenzie and Shannon Overbay",
title = "Purely Periodic Second Order Linear Recurrences",
journal = j-FIB-QUART,
volume = "46/47",
number = "2",
pages = "160--166",
month = may,
year = "2008\slash 2009",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:29 MDT 2011",
bibsource = "http://www.fq.math.ca/46/47-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/46_47-2/mckenzie.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ismail:2008:OPG,
author = "Mourad E. H. Ismail",
title = "One Parameter Generalizations of the {Fibonacci} and
{Lucas} Numbers",
journal = j-FIB-QUART,
volume = "46/47",
number = "2",
pages = "167--180",
month = may,
year = "2008\slash 2009",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:29 MDT 2011",
bibsource = "http://www.fq.math.ca/46/47-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/46_47-2/ismail.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Euler:2008:EPSb,
author = "Russ Euler and Jawad Sadek",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "46/47",
number = "2",
pages = "181--185",
month = may,
year = "2008\slash 2009",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:29 MDT 2011",
bibsource = "http://www.fq.math.ca/46/47-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/Elem_Prob_May2009.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2008:APSb,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "46/47",
number = "2",
pages = "186--193",
month = may,
year = "2008\slash 2009",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:29 MDT 2011",
bibsource = "http://www.fq.math.ca/46/47-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/May2008advanced.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Woltman:2008:DKM,
author = "George Woltman and Scott Kurowski",
title = "On the discovery of the 45th and 46th known {Mersenne}
primes",
journal = j-FIB-QUART,
volume = "46/47",
number = "3",
pages = "194--197",
month = aug,
year = "2008\slash 2009",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:31 MDT 2011",
bibsource = "http://www.fq.math.ca/46/47-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/46_47-3/woltman.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Somer:2008:LPS,
author = "Lawrence Somer",
title = "{Lucas} Pseudoprimes of Special Types",
journal = j-FIB-QUART,
volume = "46/47",
number = "3",
pages = "198--206",
month = aug,
year = "2008\slash 2009",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:31 MDT 2011",
bibsource = "http://www.fq.math.ca/46/47-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/46_47-3/somer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Prodinger:2008:SMV,
author = "Helmut Prodinger",
title = "On a sum of {Melham} and its variants",
journal = j-FIB-QUART,
volume = "46/47",
number = "3",
pages = "207--215",
month = aug,
year = "2008\slash 2009",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:31 MDT 2011",
bibsource = "http://www.fq.math.ca/46/47-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/46_47-3/prodinger.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2008:FRF,
author = "Florian Luca and V. Janitzio Mej{\'\i}a Huguet",
title = "{Fibonacci--Riesel} and {Fibonacci--Sierpinski}
numbers",
journal = j-FIB-QUART,
volume = "46/47",
number = "3",
pages = "216--219",
month = aug,
year = "2008\slash 2009",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:31 MDT 2011",
bibsource = "http://www.fq.math.ca/46/47-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/46_47-3/luca.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hillar:2008:FIG,
author = "Christopher J. Hillar and Troels Windfeldt",
title = "{Fibonacci} Identities and Graph Colorings",
journal = j-FIB-QUART,
volume = "46/47",
number = "3",
pages = "220--224",
month = aug,
year = "2008\slash 2009",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:31 MDT 2011",
bibsource = "http://www.fq.math.ca/46/47-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/46_47-3/hillar.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{He:2008:SCI,
author = "Yuan He and Qunying Liao",
title = "Some Congruences Involving {Euler} Numbers",
journal = j-FIB-QUART,
volume = "46/47",
number = "3",
pages = "225--234",
month = aug,
year = "2008\slash 2009",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:31 MDT 2011",
bibsource = "http://www.fq.math.ca/46/47-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/46_47-3/he.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Tengely:2008:FGN,
author = "Szabolcs Tengely",
title = "Finding $g$-gonal numbers in recurrence sequences",
journal = j-FIB-QUART,
volume = "46/47",
number = "3",
pages = "235--240",
month = aug,
year = "2008\slash 2009",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:31 MDT 2011",
bibsource = "http://www.fq.math.ca/46/47-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/46_47-3/tengely.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Masulovic:2008:NFH,
author = "Dragan Ma{\v{s}}ulovi{\'c}",
title = "The Number of Finite Homomorphism-Homogeneous
Tournaments with Loops",
journal = j-FIB-QUART,
volume = "46/47",
number = "3",
pages = "241--244",
month = aug,
year = "2008\slash 2009",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:31 MDT 2011",
bibsource = "http://www.fq.math.ca/46/47-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/46_47-3/masulovic.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gould:2008:PFE,
author = "H. W. Gould and Jocelyn Quaintance",
title = "Partial Fraction Expansions and a Question of
{Bruckman}",
journal = j-FIB-QUART,
volume = "46/47",
number = "3",
pages = "245--248",
month = aug,
year = "2008\slash 2009",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:31 MDT 2011",
bibsource = "http://www.fq.math.ca/46/47-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/46_47-3/gould.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gerdemann:2008:CPZ,
author = "Dale Gerdemann",
title = "Combinatorial Proofs of {Zeckendorf} Family
Identities",
journal = j-FIB-QUART,
volume = "46/47",
number = "3",
pages = "249--260",
month = aug,
year = "2008\slash 2009",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:31 MDT 2011",
bibsource = "http://www.fq.math.ca/46/47-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/46_47-3/gerdemann.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2008:FAF,
author = "Anonymous",
title = "First Announcement: {Fourteenth International
Conference on Fibonacci Numbers and Their
Applications}",
journal = j-FIB-QUART,
volume = "46/47",
number = "3",
pages = "261--??",
month = aug,
year = "2008\slash 2009",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:31 MDT 2011",
bibsource = "http://www.fq.math.ca/46/47-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers/46_47-3/Announcement4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Griffiths:2008:SRE,
author = "Martin Griffiths",
title = "Symmetric rational expressions in the {Fibonacci}
numbers",
journal = j-FIB-QUART,
volume = "46/47",
number = "3",
pages = "262--267",
month = aug,
year = "2008\slash 2009",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:31 MDT 2011",
bibsource = "http://www.fq.math.ca/46/47-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/46_47-3/griffiths.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Komatsu:2008:CFE,
author = "Takao Komatsu",
title = "On continued fraction expansions of {Fibonacci} and
{Lucas} {Dirichlet} series",
journal = j-FIB-QUART,
volume = "46/47",
number = "3",
pages = "268--278",
month = aug,
year = "2008\slash 2009",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:31 MDT 2011",
bibsource = "http://www.fq.math.ca/46/47-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/46_47-3/komatsu.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Euler:2008:EPSc,
author = "Russ Euler and Jawad Sadek",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "46/47",
number = "3",
pages = "279--282",
month = aug,
year = "2008\slash 2009",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:31 MDT 2011",
bibsource = "http://www.fq.math.ca/46/47-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/Elem_Prob_August2009.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2008:APSc,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "46/47",
number = "3",
pages = "283--289",
month = aug,
year = "2008\slash 2009",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:31 MDT 2011",
bibsource = "http://www.fq.math.ca/46/47-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/Aug2009advanced.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Klaska:2008:TWP,
author = "Ji{\v{r}}{\'\i} Kla{\v{s}}ka",
title = "On {Tribonacci--Wieferich} Primes",
journal = j-FIB-QUART,
volume = "46/47",
number = "4",
pages = "290--297",
month = nov,
year = "2008\slash 2009",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:33 MDT 2011",
bibsource = "http://www.fq.math.ca/46/47-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/46_47-4/klaska.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bonnin-Cadogan:2008:CFR,
author = "Jose M. Bonnin-Cadogan and Christopher P. French and
Buchan Xue",
title = "Continued Fractions of Roots of {Fibonacci}-Like
Fractions",
journal = j-FIB-QUART,
volume = "46/47",
number = "4",
pages = "298--311",
month = nov,
year = "2008\slash 2009",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:33 MDT 2011",
bibsource = "http://www.fq.math.ca/46/47-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/46_47-4/bonnin-cadogan.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Melham:2008:SCC,
author = "R. S. Melham",
title = "Some Conjectures Concerning Sums of Odd Powers of
{Fibonacci} and {Lucas} Numbers",
journal = j-FIB-QUART,
volume = "46/47",
number = "4",
pages = "312--315",
month = nov,
year = "2008\slash 2009",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:33 MDT 2011",
bibsource = "http://www.fq.math.ca/46/47-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/46_47-4/melham.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Laohakosol:2008:RSG,
author = "Vichian Laohakosol and Kantaphon Kuhapatanakul",
title = "Reciprocal Sums of Generalized Second Order Recurrence
Sequences",
journal = j-FIB-QUART,
volume = "46/47",
number = "4",
pages = "316--325",
month = nov,
year = "2008\slash 2009",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:33 MDT 2011",
bibsource = "http://www.fq.math.ca/46/47-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/46_47-4/laohakosol.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Boyadzhiev:2008:PSI,
author = "Khristo N. Boyadzhiev",
title = "Power Sum Identities with Generalized {Stirling}
Numbers",
journal = j-FIB-QUART,
volume = "46/47",
number = "4",
pages = "326--330",
month = nov,
year = "2008\slash 2009",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:33 MDT 2011",
bibsource = "http://www.fq.math.ca/46/47-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/46_47-4/boyadzhiev.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Tripathi:2008:PTC,
author = "Amitabha Tripathi",
title = "On {Pythagorean} Triples Containing a Fixed Integer",
journal = j-FIB-QUART,
volume = "46/47",
number = "4",
pages = "331--340",
month = nov,
year = "2008\slash 2009",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:33 MDT 2011",
bibsource = "http://www.fq.math.ca/46/47-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/46_47-4/tripathi.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{ElBachraoui:2008:RPP,
author = "Mohamed {El Bachraoui}",
title = "Relatively Prime Partitions with Two and Three Parts",
journal = j-FIB-QUART,
volume = "46/47",
number = "4",
pages = "341--345",
month = nov,
year = "2008\slash 2009",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:33 MDT 2011",
bibsource = "http://www.fq.math.ca/46/47-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/46_47-4/elbachraoui.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gatta:2008:SWA,
author = "F. Gatta and A. D'Amico",
title = "Sequences {$ H_n $} for which {$ H_{n + 1} / H_n $}
Approaches the Golden Ratio",
journal = j-FIB-QUART,
volume = "46/47",
number = "4",
pages = "346--349",
month = nov,
year = "2008\slash 2009",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:33 MDT 2011",
bibsource = "http://www.fq.math.ca/46/47-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/46_47-4/gatta.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{McGuire:2008:PCR,
author = "Trevor McGuire",
title = "On the Periodicity of Certain Recursive Sequences",
journal = j-FIB-QUART,
volume = "46/47",
number = "4",
pages = "350--355",
month = nov,
year = "2008\slash 2009",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:33 MDT 2011",
bibsource = "http://www.fq.math.ca/46/47-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/46_47-4/mcguire.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Abrate:2008:FSQ,
author = "Marco Abrate",
title = "{Fibonacci} Sequences of Quaternions",
journal = j-FIB-QUART,
volume = "46/47",
number = "4",
pages = "356--365",
month = nov,
year = "2008\slash 2009",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:33 MDT 2011",
bibsource = "http://www.fq.math.ca/46/47-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/46_47-4/abrate.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Nyblom:2008:CFA,
author = "Michael A. Nyblom",
title = "On the Construction of a Family of Almost Power Free
Sequences",
journal = j-FIB-QUART,
volume = "46/47",
number = "4",
pages = "366--368",
month = nov,
year = "2008\slash 2009",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:33 MDT 2011",
bibsource = "http://www.fq.math.ca/46/47-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/46_47-4/nyblom.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Euler:2008:EPSd,
author = "Russ Euler and Jawad Sadek",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "46/47",
number = "4",
pages = "369--373",
month = nov,
year = "2008\slash 2009",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:33 MDT 2011",
bibsource = "http://www.fq.math.ca/46/47-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/Elem_Prob_NOV2009.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2008:APSd,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "46/47",
number = "4",
pages = "374--380",
month = nov,
year = "2008\slash 2009",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:33 MDT 2011",
bibsource = "http://www.fq.math.ca/46/47-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/Advanced_Problems_NOV2009.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2008:VI,
author = "Anonymous",
title = "Volume Index",
journal = j-FIB-QUART,
volume = "46/47",
number = "4",
pages = "381--??",
month = nov,
year = "2008\slash 2009",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:33 MDT 2011",
bibsource = "http://www.fq.math.ca/46/47-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Volume_Index/volume_index2008_09.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2010:R,
author = "Anonymous",
title = "Referees",
journal = j-FIB-QUART,
volume = "48",
number = "1",
pages = "2--3",
month = feb,
year = "2010",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:35 MDT 2011",
bibsource = "http://www.fq.math.ca/48-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers/48-1/referees10.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Agoh:2010:RRN,
author = "Takashi Agoh and Karl Dilcher",
title = "Recurrence relations for {N{\"o}rlund} numbers and
{Bernoulli} numbers of the second kind",
journal = j-FIB-QUART,
volume = "48",
number = "1",
pages = "4--12",
month = feb,
year = "2010",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:35 MDT 2011",
bibsource = "http://www.fq.math.ca/48-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/48-1/agoh.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kimberling:2010:DIS,
author = "Clark Kimberling",
title = "Doubly Interspersed Sequences, Double Interspersions
and Fractal Sequences",
journal = j-FIB-QUART,
volume = "48",
number = "1",
pages = "13--20",
month = feb,
year = "2010",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:35 MDT 2011",
bibsource = "http://www.fq.math.ca/48-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/48-1/kimberling.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Klaska:2010:CCT,
author = "Ji{\v{r}}{\'\i} Kla{\v{s}}ka and Ladislav Skula",
title = "The Cubic Character of the {Tribonacci} Roots",
journal = j-FIB-QUART,
volume = "48",
number = "1",
pages = "21--28",
month = feb,
year = "2010",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:35 MDT 2011",
bibsource = "http://www.fq.math.ca/48-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/48-1/klaska.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kilic:2010:GFM,
author = "Emrah Kilic and Helmut Prodinger",
title = "A Generalized {Filbert} Matrix",
journal = j-FIB-QUART,
volume = "48",
number = "1",
pages = "29--33",
month = feb,
year = "2010",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:35 MDT 2011",
bibsource = "http://www.fq.math.ca/48-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/48-1/kilic.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Laughlin:2010:IMA,
author = "James Mc Laughlin",
title = "An Identity Motivated by an Amazing Identity of
{Ramanujan}",
journal = j-FIB-QUART,
volume = "48",
number = "1",
pages = "34--38",
month = feb,
year = "2010",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:35 MDT 2011",
bibsource = "http://www.fq.math.ca/48-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/48-1/mclaughlin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cangul:2010:DE,
author = "Ismail Naci Cangul and Musa Demirci and Florian Luca
and {\'A}kos Pint{\'e}r and G{\"o}khan Soydan",
title = "On the {Diophantine} Equation $ x^2 + 2^a \cdot 11^b =
y^n $",
journal = j-FIB-QUART,
volume = "48",
number = "1",
pages = "39--46",
month = feb,
year = "2010",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:35 MDT 2011",
bibsource = "http://www.fq.math.ca/48-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/48-1/cangul.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Caldwell:2010:SPC,
author = "Chris K. Caldwell and Takao Komatsu",
title = "Some Periodicities in the Continued Fraction
Expansions of {Fibonacci} and {Lucas} {Dirichlet}
Series",
journal = j-FIB-QUART,
volume = "48",
number = "1",
pages = "47--55",
month = feb,
year = "2010",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:35 MDT 2011",
bibsource = "http://www.fq.math.ca/48-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/48-1/caldwell.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gould:2010:GVI,
author = "H. W. Gould and Jocelyn Quaintance",
title = "Generalizations of {Vosmansky}'s Identity",
journal = j-FIB-QUART,
volume = "48",
number = "1",
pages = "56--61",
month = feb,
year = "2010",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:35 MDT 2011",
bibsource = "http://www.fq.math.ca/48-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/48-1/gould.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Eustis:2010:CPS,
author = "Alex Eustis and Mark Shattuck",
title = "Combinatorial Proofs of Some Formulas for {$ L_m^r
$}",
journal = j-FIB-QUART,
volume = "48",
number = "1",
pages = "62--67",
month = feb,
year = "2010",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:35 MDT 2011",
bibsource = "http://www.fq.math.ca/48-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/48-1/eustis.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Macfarlane:2010:UDP,
author = "A. J. Macfarlane",
title = "Use of Determinants to Present Identities Involving
{Fibonacci} and Related Numbers",
journal = j-FIB-QUART,
volume = "48",
number = "1",
pages = "68--76",
month = feb,
year = "2010",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:35 MDT 2011",
bibsource = "http://www.fq.math.ca/48-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/48-1/macfarlane.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Clark:2010:CMD,
author = "Tyler Clark and Tom Richmond",
title = "Collections of Mutually Disjoint Convex Subsets of a
Totally Ordered Set",
journal = j-FIB-QUART,
volume = "48",
number = "1",
pages = "77--79",
month = feb,
year = "2010",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:35 MDT 2011",
bibsource = "http://www.fq.math.ca/48-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/48-1/clark.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Chu:2010:TMC,
author = "Wenchang Chu and Roberta R. Zhou",
title = "Two Multiple Convolutions on {Fibonacci}-Like
Sequences",
journal = j-FIB-QUART,
volume = "48",
number = "1",
pages = "80--84",
month = feb,
year = "2010",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:35 MDT 2011",
bibsource = "http://www.fq.math.ca/48-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/48-1/chu.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gauthier:2010:TKB,
author = "Napoleon Gauthier",
title = "{Thomas Koshy}'s {{\booktitle{Catalan Numbers with
Applications}}} (Book Review)",
journal = j-FIB-QUART,
volume = "48",
number = "1",
pages = "85--86",
month = feb,
year = "2010",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:35 MDT 2011",
bibsource = "http://www.fq.math.ca/48-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "See \cite{Koshy:2009:CNA}.",
URL = "http://www.fq.math.ca/Papers/48-1/Gauthier_Review.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Euler:2010:EPSa,
author = "Russ Euler and Jawad Sadek",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "48",
number = "1",
pages = "87--88",
month = feb,
year = "2010",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:35 MDT 2011",
bibsource = "http://www.fq.math.ca/48-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/Elem_Prob_Feb_2010.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2010:APSa,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "48",
number = "1",
pages = "89--97",
month = feb,
year = "2010",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:35 MDT 2011",
bibsource = "http://www.fq.math.ca/48-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/Adv_Prob_Feb_2010.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Somer:2010:LP,
author = "Lawrence Somer and Curtis Cooper",
title = "{Lucas} $ (a_1, a_2, \ldots {}, a_k = \pm 1) $
Pseudoprimes",
journal = j-FIB-QUART,
volume = "48",
number = "2",
pages = "98--113",
month = may,
year = "2010",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:37 MDT 2011",
bibsource = "http://www.fq.math.ca/48-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/48-2/somer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Butler:2010:IDT,
author = "Steve Butler and Paul Horn and Eric Tressler",
title = "Intersecting Domino Tilings",
journal = j-FIB-QUART,
volume = "48",
number = "2",
pages = "114--120",
month = may,
year = "2010",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:37 MDT 2011",
bibsource = "http://www.fq.math.ca/48-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/48-2/butler.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Berczes:2010:GBS,
author = "Attila B{\'e}rczes and K{\'a}lm{\'a}n Liptai and
Istv{\'a}n Pink",
title = "On Generalized Balancing Sequences",
journal = j-FIB-QUART,
volume = "48",
number = "2",
pages = "121--128",
month = may,
year = "2010",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:37 MDT 2011",
bibsource = "http://www.fq.math.ca/48-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/48-2/berczes.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Li:2010:ECF,
author = "Yan Li and Lianrong Ma",
title = "On the Elements of the Continued Fractions of
Quadratic Irrationals",
journal = j-FIB-QUART,
volume = "48",
number = "2",
pages = "129--136",
month = may,
year = "2010",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:37 MDT 2011",
bibsource = "http://www.fq.math.ca/48-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/48-2/li.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Koseleff:2010:FK,
author = "P.-V. Koseleff and D. Pecker",
title = "On {Fibonacci} Knots",
journal = j-FIB-QUART,
volume = "48",
number = "2",
pages = "137--143",
month = may,
year = "2010",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:37 MDT 2011",
bibsource = "http://www.fq.math.ca/48-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/48-2/koseleff.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Tripathi:2010:NPP,
author = "Amitabha Tripathi",
title = "A Note on Products of Primes that Differ by a Fixed
Integer",
journal = j-FIB-QUART,
volume = "48",
number = "2",
pages = "144--149",
month = may,
year = "2010",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:37 MDT 2011",
bibsource = "http://www.fq.math.ca/48-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/48-2/tripathi.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Melham:2010:RCR,
author = "R. S. Melham",
title = "On the Representation of Certain Reals via the Golden
Ratio",
journal = j-FIB-QUART,
volume = "48",
number = "2",
pages = "150--160",
month = may,
year = "2010",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:37 MDT 2011",
bibsource = "http://www.fq.math.ca/48-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/48-2/melham.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kilic:2010:CBS,
author = "Emrah Kilic and Eugen J. Ionascu",
title = "Certain Binomial Sums with Recursive Coefficients",
journal = j-FIB-QUART,
volume = "48",
number = "2",
pages = "161--167",
month = may,
year = "2010",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:37 MDT 2011",
bibsource = "http://www.fq.math.ca/48-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/48-2/kilic.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Griffiths:2010:DPZ,
author = "Martin Griffiths",
title = "Digit Proportions in {Zeckendorf} Representations",
journal = j-FIB-QUART,
volume = "48",
number = "2",
pages = "168--174",
month = may,
year = "2010",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:37 MDT 2011",
bibsource = "http://www.fq.math.ca/48-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/48-2/griffiths.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{McGuire:2010:GPC,
author = "Trevor McGuire",
title = "Generalizations of the Periodicity of Certain
Recursive Sequences",
journal = j-FIB-QUART,
volume = "48",
number = "2",
pages = "175--181",
month = may,
year = "2010",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:37 MDT 2011",
bibsource = "http://www.fq.math.ca/48-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/48-2/mcguire.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Euler:2010:EPSb,
author = "Russ Euler and Jawad Sadek",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "48",
number = "2",
pages = "182--183",
month = may,
year = "2010",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:37 MDT 2011",
bibsource = "http://www.fq.math.ca/48-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/ElemProbMay2010.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2010:APSb,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "48",
number = "2",
pages = "184--191",
month = may,
year = "2010",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:37 MDT 2011",
bibsource = "http://www.fq.math.ca/48-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/May2010advanced.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2010:FCA,
author = "Anonymous",
title = "{Fibonacci Conference} Announcement",
journal = j-FIB-QUART,
volume = "48",
number = "2",
pages = "192--193",
month = may,
year = "2010",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:37 MDT 2011",
bibsource = "http://www.fq.math.ca/48-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/48-2/Announcement4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2010:MBJ,
author = "Anonymous",
title = "{Marjorie Bicknell-Johnson}",
journal = j-FIB-QUART,
volume = "48",
number = "3",
pages = "194--??",
month = aug,
year = "2010",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:39 MDT 2011",
bibsource = "http://www.fq.math.ca/48-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers/48-3/Dedication4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cook:2010:RFI,
author = "Charles K. Cook",
title = "A Report on the {Fourteenth International Conference
on Fibonacci Numbers and Their Applications}",
journal = j-FIB-QUART,
volume = "48",
number = "3",
pages = "195--196",
month = aug,
year = "2010",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:39 MDT 2011",
bibsource = "http://www.fq.math.ca/48-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers/48-3/ConfRep14.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Voll:2010:CIR,
author = "Nils Gaute Voll",
title = "The {Cassini} Identity and Its Relatives",
journal = j-FIB-QUART,
volume = "48",
number = "3",
pages = "197--201",
month = aug,
year = "2010",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:39 MDT 2011",
bibsource = "http://www.fq.math.ca/48-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/48-3/voll.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Pihko:2010:RGO,
author = "Jukka Pihko",
title = "Remarks on the ``Greedy Odd'' {Egyptian} Fraction
Algorithm {II}",
journal = j-FIB-QUART,
volume = "48",
number = "3",
pages = "202--208",
month = aug,
year = "2010",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:39 MDT 2011",
bibsource = "http://www.fq.math.ca/48-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/48-3/pihko.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kimberling:2010:PDS,
author = "Clark Kimberling",
title = "Polynomials Defined by a Second-Order Recurrence,
Interlacing Zeros, and {Gray} Codes",
journal = j-FIB-QUART,
volume = "48",
number = "3",
pages = "209--218",
month = aug,
year = "2010",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:39 MDT 2011",
bibsource = "http://www.fq.math.ca/48-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/48-3/kimberling.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Filipin:2010:T,
author = "Alan Filipin and Bo He and Alain Togb{\'e}",
title = "On the {$ D(4) $}-Triple {$ F_{2 k}, F_{2 k + 6}, F_{2
k + 4} $}",
journal = j-FIB-QUART,
volume = "48",
number = "3",
pages = "219--227",
month = aug,
year = "2010",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:39 MDT 2011",
bibsource = "http://www.fq.math.ca/48-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/48-3/filipin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Klaska:2010:PTS,
author = "Ji{\v{r}}{\'\i} Kla{\v{s}}ka and Ladislav Skula",
title = "Periods of the {Tribonacci} Sequence Modulo a Prime $
p \equiv 1 \pmod {3} $",
journal = j-FIB-QUART,
volume = "48",
number = "3",
pages = "228--235",
month = aug,
year = "2010",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:39 MDT 2011",
bibsource = "http://www.fq.math.ca/48-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/48-3/klaska.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Konno:2010:SCM,
author = "Tatsuo Konno",
title = "Sequences Constructed by a Modified
Inclusion-Exclusion Principle",
journal = j-FIB-QUART,
volume = "48",
number = "3",
pages = "236--240",
month = aug,
year = "2010",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:39 MDT 2011",
bibsource = "http://www.fq.math.ca/48-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/48-3/konno.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kilic:2010:PCM,
author = "Emrah Kilic and Ilker Akkus and Helmut Prodinger",
title = "A Proof of a Conjecture of {Melham}",
journal = j-FIB-QUART,
volume = "48",
number = "3",
pages = "241--248",
month = aug,
year = "2010",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:39 MDT 2011",
bibsource = "http://www.fq.math.ca/48-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/48-3/kilic.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Knopfmacher:2010:SPC,
author = "Arnold Knopfmacher and Neville Robbins",
title = "Some Properties of Cyclic Compositions",
journal = j-FIB-QUART,
volume = "48",
number = "3",
pages = "249--255",
month = aug,
year = "2010",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:39 MDT 2011",
bibsource = "http://www.fq.math.ca/48-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/48-3/knopfmacher.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Melham:2010:CCH,
author = "R. S. Melham",
title = "On Certain Combinations of Higher Powers of
{Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "48",
number = "3",
pages = "256--259",
month = aug,
year = "2010",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:39 MDT 2011",
bibsource = "http://www.fq.math.ca/48-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/48-3/melham.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Dilcher:2010:DSS,
author = "Karl Dilcher and Jeffrey L. Meyer",
title = "{Dedekind} Sums and Some Generalized {Fibonacci} and
{Lucas} Sequences",
journal = j-FIB-QUART,
volume = "48",
number = "3",
pages = "260--264",
month = aug,
year = "2010",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:39 MDT 2011",
bibsource = "http://www.fq.math.ca/48-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/48-3/dilcher.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Komatsu:2010:SWA,
author = "Takao Komatsu",
title = "Sequences {$ \{ H_n \} $} for Which {$ H_{n + 1} / H_n
$} Approaches an Irrational Number",
journal = j-FIB-QUART,
volume = "48",
number = "3",
pages = "265--275",
month = aug,
year = "2010",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:39 MDT 2011",
bibsource = "http://www.fq.math.ca/48-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/48-3/komatsu.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Benjamin:2010:EFD,
author = "Arthur T. Benjamin and Sean S. Plott",
title = "Errata --- {``Fibonacci determinants --- a
combinatorial approach''}",
journal = j-FIB-QUART,
volume = "48",
number = "3",
pages = "276--??",
month = aug,
year = "2010",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:39 MDT 2011",
bibsource = "http://www.fq.math.ca/48-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "See \cite{Benjamin:2007:FDC}.",
URL = "http://www.fq.math.ca/Papers/48-3/Errata.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
xxtitle = "Errata --- {``A Combinatorial Approach to Fibonomial
Coefficients''}",
}
@Article{Euler:2010:EPSc,
author = "Russ Euler and Jawad Sadek",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "48",
number = "3",
pages = "277--282",
month = aug,
year = "2010",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:39 MDT 2011",
bibsource = "http://www.fq.math.ca/48-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/ElemProbAug2010.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2010:APSc,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "48",
number = "3",
pages = "283--289",
month = aug,
year = "2010",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:39 MDT 2011",
bibsource = "http://www.fq.math.ca/48-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/August2010advanced.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Shattuck:2010:PSB,
author = "Mark Shattuck and Tam{\'a}s Waldhauser",
title = "Proofs of Some Binomial Identities Using the Method of
Last Squares",
journal = j-FIB-QUART,
volume = "48",
number = "4",
pages = "290--297",
month = nov,
year = "2010",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:41 MDT 2011",
bibsource = "http://www.fq.math.ca/48-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/48-4/shattuck.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cook:2010:MPS,
author = "Charles K. Cook and Michael R. Bacon and Rebecca A.
Hillman",
title = "The ``Magicness'' of Powers of Some Magic Squares",
journal = j-FIB-QUART,
volume = "48",
number = "4",
pages = "298--306",
month = nov,
year = "2010",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:41 MDT 2011",
bibsource = "http://www.fq.math.ca/48-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/48-4/cook.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Melham:2010:MCH,
author = "R. S. Melham",
title = "More on Combinations of Higher Powers of {Fibonacci}
Numbers",
journal = j-FIB-QUART,
volume = "48",
number = "4",
pages = "307--311",
month = nov,
year = "2010",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:41 MDT 2011",
bibsource = "http://www.fq.math.ca/48-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/48-4/melham.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Long:2010:EGS,
author = "Calvin Long and Edward Korntved",
title = "Extension of the {GCD Star of David Theorem} to More
Than Two {GCDs}",
journal = j-FIB-QUART,
volume = "48",
number = "4",
pages = "312--316",
month = nov,
year = "2010",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:41 MDT 2011",
bibsource = "http://www.fq.math.ca/48-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/48-4/long.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Pasles:2010:FMM,
author = "Paul C. Pasles",
title = "{Fibonacci} Matrices and Modular Forms",
journal = j-FIB-QUART,
volume = "48",
number = "4",
pages = "317--323",
month = nov,
year = "2010",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:41 MDT 2011",
bibsource = "http://www.fq.math.ca/48-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/48-4/pasles.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Klaska:2010:NCC,
author = "Ji{\v{r}}{\'\i} Kla{\v{s}}ka and Ladislav Skula",
title = "A Note on the Cubic Characters of {Tribonacci} Roots",
journal = j-FIB-QUART,
volume = "48",
number = "4",
pages = "324--326",
month = nov,
year = "2010",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:41 MDT 2011",
bibsource = "http://www.fq.math.ca/48-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/48-4/klaska.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kimberling:2010:PSG,
author = "Clark Kimberling",
title = "Partial Sums of Generating Functions as Polynomial
Sequences",
journal = j-FIB-QUART,
volume = "48",
number = "4",
pages = "327--334",
month = nov,
year = "2010",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:41 MDT 2011",
bibsource = "http://www.fq.math.ca/48-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/48-4/kimberling.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{McKenzie:2010:SSO,
author = "Thomas McKenzie and Shannon Overbay",
title = "Sums of Second Order Linear Recurrences",
journal = j-FIB-QUART,
volume = "48",
number = "4",
pages = "335--342",
month = nov,
year = "2010",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:41 MDT 2011",
bibsource = "http://www.fq.math.ca/48-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/48-4/mckenzie.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Mortici:2010:RCS,
author = "Cristinel Mortici",
title = "Remarks on Complementary Sequences",
journal = j-FIB-QUART,
volume = "48",
number = "4",
pages = "343--347",
month = nov,
year = "2010",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:41 MDT 2011",
bibsource = "http://www.fq.math.ca/48-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/48-4/mortici.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Barbero:2010:SPE,
author = "Stefano Barbero and Umberto Cerruti and Nadir Murru",
title = "Solving the {Pell} Equation Via {R{\'e}dei} Rational
Functions",
journal = j-FIB-QUART,
volume = "48",
number = "4",
pages = "348--357",
month = nov,
year = "2010",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:41 MDT 2011",
bibsource = "http://www.fq.math.ca/48-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/48-4/barbero.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Back:2010:GPF,
author = "Greg Back and Mihai Caragiu",
title = "The Greatest Prime Factor and Recurrent Sequences",
journal = j-FIB-QUART,
volume = "48",
number = "4",
pages = "358--362",
month = nov,
year = "2010",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:41 MDT 2011",
bibsource = "http://www.fq.math.ca/48-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/48-4/back.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kwong:2010:RFR,
author = "Harris Kwong",
title = "On Recurrences of {Fahr} and {Ringel}: An Alternate
Approach",
journal = j-FIB-QUART,
volume = "48",
number = "4",
pages = "363--365",
month = nov,
year = "2010",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:41 MDT 2011",
bibsource = "http://www.fq.math.ca/48-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/48-4/kwong.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Euler:2010:EPSd,
author = "Russ Euler and Jawad Sadek",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "48",
number = "4",
pages = "366--372",
month = nov,
year = "2010",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:41 MDT 2011",
bibsource = "http://www.fq.math.ca/48-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/ElemProbNov2010.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2010:APSd,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "48",
number = "4",
pages = "373--380",
month = nov,
year = "2010",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:41 MDT 2011",
bibsource = "http://www.fq.math.ca/48-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/November2010advanced.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2010:VI,
author = "Anonymous",
title = "Volume Index",
journal = j-FIB-QUART,
volume = "48",
number = "4",
pages = "381--??",
month = nov,
year = "2010",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:41 MDT 2011",
bibsource = "http://www.fq.math.ca/48-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Volume_Index/volume_index_2010.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2011:R,
author = "Anonymous",
title = "Referees",
journal = j-FIB-QUART,
volume = "49",
number = "1",
pages = "2--3",
month = feb,
year = "2011",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:43 MDT 2011",
bibsource = "http://www.fq.math.ca/49-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers/49-1/referees11.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anderson:2011:MZR,
author = "Peter G. Anderson and Marjorie Bicknell-Johnson",
title = "Multidimensional {Zeckendorf} Representations",
journal = j-FIB-QUART,
volume = "49",
number = "1",
pages = "4--9",
month = feb,
year = "2011",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:43 MDT 2011",
bibsource = "http://www.fq.math.ca/49-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/49-1/anderson.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Shephard:2011:MIB,
author = "G. C. Shephard",
title = "Multiplicative Identities for Binomial Coefficients",
journal = j-FIB-QUART,
volume = "49",
number = "1",
pages = "10--21",
month = feb,
year = "2011",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:43 MDT 2011",
bibsource = "http://www.fq.math.ca/49-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/49-1/shephard.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Radziejewska:2011:APF,
author = "Miros{\l}awa Radziejewska and Tomasz Schoen",
title = "Additive Properties of the {Fibonacci} Sequence",
journal = j-FIB-QUART,
volume = "49",
number = "1",
pages = "22--27",
month = feb,
year = "2011",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:43 MDT 2011",
bibsource = "http://www.fq.math.ca/49-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/49-1/radziejewska.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Behera:2011:BFP,
author = "Akrur Behera and K{\'a}lm{\'a}n Liptai and Gopal
Krishna Panda and L{\'a}szl{\'o} Szalay",
title = "Balancing with {Fibonacci} Powers",
journal = j-FIB-QUART,
volume = "49",
number = "1",
pages = "28--33",
month = feb,
year = "2011",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:43 MDT 2011",
bibsource = "http://www.fq.math.ca/49-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/49-1/behera.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Caragiu:2011:DSA,
author = "Mihai Caragiu and Alexandru Zaharescu and Mohammad
Zaki",
title = "On {Ducci} Sequences with Algebraic Numbers",
journal = j-FIB-QUART,
volume = "49",
number = "1",
pages = "34--40",
month = feb,
year = "2011",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:43 MDT 2011",
bibsource = "http://www.fq.math.ca/49-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/49-1/caragiu.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hendel:2011:ARR,
author = "Russell Jay Hendel",
title = "Almost-Recursiveness of Reciprocals of Linearly
Recurrent Sequences",
journal = j-FIB-QUART,
volume = "49",
number = "1",
pages = "41--50",
month = feb,
year = "2011",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:43 MDT 2011",
bibsource = "http://www.fq.math.ca/49-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/49-1/hendel.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Griffiths:2011:FD,
author = "Martin Griffiths",
title = "{Fibonacci} Diagonals",
journal = j-FIB-QUART,
volume = "49",
number = "1",
pages = "51--56",
month = feb,
year = "2011",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:43 MDT 2011",
bibsource = "http://www.fq.math.ca/49-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/49-1/griffiths1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Khan:2011:SBI,
author = "M. A. Khan and Harris Kwong",
title = "Some Binomial Identities Associated with the
Generalized Natural Number Sequence",
journal = j-FIB-QUART,
volume = "49",
number = "1",
pages = "57--65",
month = feb,
year = "2011",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:43 MDT 2011",
bibsource = "http://www.fq.math.ca/49-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/49-1/khan.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Berg:2011:FNE,
author = "Christian Berg and Antonio J. Dur{\'a}n",
title = "{Fibonacci} Numbers, {Euler}'s $2$-Periodic Continued
Fractions and Moment Sequences",
journal = j-FIB-QUART,
volume = "49",
number = "1",
pages = "66--75",
month = feb,
year = "2011",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:43 MDT 2011",
bibsource = "http://www.fq.math.ca/49-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/49-1/berg.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Griffiths:2011:FFL,
author = "Martin Griffiths",
title = "Families of {Fibonacci} and {Lucas} Sums via the
Moments of a Random Variable",
journal = j-FIB-QUART,
volume = "49",
number = "1",
pages = "76--81",
month = feb,
year = "2011",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:43 MDT 2011",
bibsource = "http://www.fq.math.ca/49-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/49-1/griffiths2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Euler:2011:EPSa,
author = "Russ Euler and Jawad Sadek",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "49",
number = "1",
pages = "82--88",
month = feb,
year = "2011",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:43 MDT 2011",
bibsource = "http://www.fq.math.ca/49-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/ElemProbFeb2011.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2011:APSa,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "49",
number = "1",
pages = "89--97",
month = feb,
year = "2011",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:43 MDT 2011",
bibsource = "http://www.fq.math.ca/49-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/February2011advanced.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2011:FCAa,
author = "Anonymous",
title = "{Fibonacci Conference} Announcement",
journal = j-FIB-QUART,
volume = "49",
number = "2",
pages = "98--??",
month = may,
year = "2011",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:45 MDT 2011",
bibsource = "http://www.fq.math.ca/49-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers/49-2/Announcement2012.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Benjamin:2011:TFB,
author = "Arthur T. Benjamin and Jacob N. Scott",
title = "Third and Fourth Binomial Coefficients",
journal = j-FIB-QUART,
volume = "49",
number = "2",
pages = "99--101",
month = may,
year = "2011",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:45 MDT 2011",
bibsource = "http://www.fq.math.ca/49-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/49-2/benjamin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Deshouillers:2011:DEF,
author = "Jean-Marc Deshouillers and Florian Luca",
title = "On the Distribution of the {Euler} Functions with
{Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "49",
number = "2",
pages = "102--109",
month = may,
year = "2011",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:45 MDT 2011",
bibsource = "http://www.fq.math.ca/49-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/49-2/deshouillers.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hirschhorn:2011:FLS,
author = "Michael D. Hirschhorn",
title = "Factorization of Lens Sequences",
journal = j-FIB-QUART,
volume = "49",
number = "2",
pages = "110--115",
month = may,
year = "2011",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:45 MDT 2011",
bibsource = "http://www.fq.math.ca/49-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/49-2/hirschhorn.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kologlu:2011:NSZ,
author = "Murat Kolo{\u{g}}lu and Gene S. Kopp and Steven J.
Miller and Yinghui Wang",
title = "On the Number of Summands in {Zeckendorf}
Decompositions",
journal = j-FIB-QUART,
volume = "49",
number = "2",
pages = "116--130",
month = may,
year = "2011",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:45 MDT 2011",
bibsource = "http://www.fq.math.ca/49-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/49-2/kologlu.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Holden:2011:RC,
author = "Dhiraj Holden",
title = "Results on the $ 3 x + 1 $ and $ 3 x + d $
Conjectures",
journal = j-FIB-QUART,
volume = "49",
number = "2",
pages = "131--133",
month = may,
year = "2011",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:45 MDT 2011",
bibsource = "http://www.fq.math.ca/49-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/49-2/holden.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Romano:2011:NLR,
author = "Paul K. Romano and Harry McLaughlin",
title = "On Non-Linear Recursive Sequences and {Benford's
Law}",
journal = j-FIB-QUART,
volume = "49",
number = "2",
pages = "134--138",
month = may,
year = "2011",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:45 MDT 2011",
bibsource = "http://www.fq.math.ca/49-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/49-2/romano.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Chu:2011:PSP,
author = "Wenchang Chu and Nadia N. Li",
title = "Power Sums of {Pell} and {Pell--Lucas} Polynomials",
journal = j-FIB-QUART,
volume = "49",
number = "2",
pages = "139--150",
month = may,
year = "2011",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:45 MDT 2011",
bibsource = "http://www.fq.math.ca/49-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/49-2/chu.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Russo:2011:BSF,
author = "Vincent Russo and Loren Schwiebert",
title = "{Beatty} Sequences, {Fibonacci} Numbers, and the
Golden Ratio",
journal = j-FIB-QUART,
volume = "49",
number = "2",
pages = "151--154",
month = may,
year = "2011",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:45 MDT 2011",
bibsource = "http://www.fq.math.ca/49-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/49-2/russo.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Avart:2011:CCD,
author = "Christian Avart",
title = "A Characterization of Converging {Ducci} Sequences
Over {$ Z_2 $}",
journal = j-FIB-QUART,
volume = "49",
number = "2",
pages = "155--157",
month = may,
year = "2011",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:45 MDT 2011",
bibsource = "http://www.fq.math.ca/49-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/49-2/avart.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gould:2011:IFS,
author = "H. W. Gould and Jocelyn Quaintance",
title = "Inverting a Finite Series with Constant Coefficients",
journal = j-FIB-QUART,
volume = "49",
number = "2",
pages = "158--165",
month = may,
year = "2011",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:45 MDT 2011",
bibsource = "http://www.fq.math.ca/49-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/49-2/gould.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{McDaniel:2011:EDF,
author = "Wayne L. McDaniel",
title = "An Easy Determination of the {Fibonacci} and {Pell}
Squares",
journal = j-FIB-QUART,
volume = "49",
number = "2",
pages = "166--170",
month = may,
year = "2011",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:45 MDT 2011",
bibsource = "http://www.fq.math.ca/49-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/49-2/mcdaniel.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Feng:2011:SNR,
author = "Jishe Feng",
title = "Some New Remarks About the Dying Rabbit Problem",
journal = j-FIB-QUART,
volume = "49",
number = "2",
pages = "171--176",
month = may,
year = "2011",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:45 MDT 2011",
bibsource = "http://www.fq.math.ca/49-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/49-2/feng.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bergart:2011:FWA,
author = "Jeff Bergart",
title = "A {Fibonacci} ``Whack'' Alongside the Head: My Journey
into the World of Book Collecting",
journal = j-FIB-QUART,
volume = "49",
number = "2",
pages = "177--179",
month = may,
year = "2011",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:45 MDT 2011",
bibsource = "http://www.fq.math.ca/49-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers/49-2/bergart.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Euler:2011:EPSb,
author = "Russ Euler and Jawad Sadek",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "49",
number = "2",
pages = "180--186",
month = may,
year = "2011",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:45 MDT 2011",
bibsource = "http://www.fq.math.ca/49-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/ElemProbMay2011.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2011:APSb,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "49",
number = "2",
pages = "187--193",
month = may,
year = "2011",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:45 MDT 2011",
bibsource = "http://www.fq.math.ca/49-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/May2011advanced.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2011:FCAb,
author = "Anonymous",
title = "{Fibonacci Conference} Announcement",
journal = j-FIB-QUART,
volume = "49",
number = "3",
pages = "194--??",
month = aug,
year = "2011",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:47 MDT 2011",
bibsource = "http://www.fq.math.ca/49-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers/49-3/Announcement2012.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kimberling:2011:BSW,
author = "Clark Kimberling",
title = "{Beatty} Sequences and {Wythoff} Sequences,
Generalized",
journal = j-FIB-QUART,
volume = "49",
number = "3",
pages = "195--200",
month = aug,
year = "2011",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:47 MDT 2011",
bibsource = "http://www.fq.math.ca/49-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/49-3/kimberling.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bundschuh:2011:DFL,
author = "Ralf Bundschuh and Peter Bundschuh",
title = "Distribution of {Fibonacci} and {Lucas} Numbers Modulo
$ 3^k $",
journal = j-FIB-QUART,
volume = "49",
number = "3",
pages = "201--210",
month = aug,
year = "2011",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:47 MDT 2011",
bibsource = "http://www.fq.math.ca/49-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/49-3/bundschuh.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hendel:2011:KF,
author = "Russell Jay Hendel",
title = "{Kimberling}'s $ \lfloor n^2 \alpha \rfloor - n
\lfloor n \alpha \rfloor $ Function",
journal = j-FIB-QUART,
volume = "49",
number = "3",
pages = "211--219",
month = aug,
year = "2011",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:47 MDT 2011",
bibsource = "http://www.fq.math.ca/49-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/49-3/hendel.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Vsemirnov:2011:QIC,
author = "Maxim Vsemirnov",
title = "Quadratic Identities For a Class of {Fibonacci}-Like
Polynomials",
journal = j-FIB-QUART,
volume = "49",
number = "3",
pages = "220--226",
month = aug,
year = "2011",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:47 MDT 2011",
bibsource = "http://www.fq.math.ca/49-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/49-3/vsemirnov.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ruskey:2011:FMH,
author = "Frank Ruskey",
title = "{Fibonacci} Meets {Hofstadter}",
journal = j-FIB-QUART,
volume = "49",
number = "3",
pages = "227--230",
month = aug,
year = "2011",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:47 MDT 2011",
bibsource = "http://www.fq.math.ca/49-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/49-3/ruskey.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Howard:2011:SIF,
author = "F. T. Howard and Curtis Cooper",
title = "Some Identities for $r$-{Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "49",
number = "3",
pages = "231--242",
month = aug,
year = "2011",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:47 MDT 2011",
bibsource = "http://www.fq.math.ca/49-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/49-3/howard.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hirschhorn:2011:AEC,
author = "Michael D. Hirschhorn",
title = "Approximating {Euler}'s Constant",
journal = j-FIB-QUART,
volume = "49",
number = "3",
pages = "243--248",
month = aug,
year = "2011",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:47 MDT 2011",
bibsource = "http://www.fq.math.ca/49-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/49-3/hirschhorn.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Griffiths:2011:FEA,
author = "Martin Griffiths",
title = "{Fibonacci} Expressions Arising From a Coin-Tossing
Scenario Involving Pairs of Consecutive Heads",
journal = j-FIB-QUART,
volume = "49",
number = "3",
pages = "249--254",
month = aug,
year = "2011",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:47 MDT 2011",
bibsource = "http://www.fq.math.ca/49-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/49-3/griffiths.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Abrate:2011:AGF,
author = "Marco Abrate and Stefano Barbero and Umberto Cerruti
and Nadir Murru",
title = "Accelerations of Generalized {Fibonacci} Sequences",
journal = j-FIB-QUART,
volume = "49",
number = "3",
pages = "255--266",
month = aug,
year = "2011",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:47 MDT 2011",
bibsource = "http://www.fq.math.ca/49-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/49-3/abrate.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ghalayini:2011:GPH,
author = "Bassem Ghalayini and Joseph Malkoun",
title = "Golden Proportions in Higher Dimensions",
journal = j-FIB-QUART,
volume = "49",
number = "3",
pages = "267--272",
month = aug,
year = "2011",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:47 MDT 2011",
bibsource = "http://www.fq.math.ca/49-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/49-3/ghalayini.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Euler:2011:EPSc,
author = "Russ Euler and Jawad Sadek",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "49",
number = "3",
pages = "273--280",
month = aug,
year = "2011",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:47 MDT 2011",
bibsource = "http://www.fq.math.ca/49-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/ElemProbAug2011.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2011:APSc,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "49",
number = "3",
pages = "281--??",
month = aug,
year = "2011",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:47 MDT 2011",
bibsource = "http://www.fq.math.ca/49-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/August2011advanced.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Benjamin:2011:CTT,
author = "Arthur T. Benjamin and Phyllis Chinn and Jacob N.
Scott and Greg Simay",
title = "Combinations of Two-Toned Tilings",
journal = j-FIB-QUART,
volume = "49",
number = "4",
pages = "290--??",
month = nov,
year = "2011",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Nov 9 10:24:44 MST 2011",
bibsource = "http://www.fq.math.ca/49-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/49-4/benjamin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Siurys:2011:TLS,
author = "Jonas {\v{S}}iurys",
title = "A {Tribonacci}-Like Sequence of Composite Numbers",
journal = j-FIB-QUART,
volume = "49",
number = "4",
pages = "298--??",
month = nov,
year = "2011",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Nov 9 10:24:44 MST 2011",
bibsource = "http://www.fq.math.ca/49-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/49-4/siurys.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anderson:2011:EPK,
author = "Peter G. Anderson and Curtis Cooper",
title = "Every Positive {$K$}-{Bonacci}-Like Sequence
Eventually Agrees with a Row of the {$K$}-{Zeckendorf}
Array",
journal = j-FIB-QUART,
volume = "49",
number = "4",
pages = "303--??",
month = nov,
year = "2011",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Nov 9 10:24:44 MST 2011",
bibsource = "http://www.fq.math.ca/49-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/49-4/anderson.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Klaska:2011:MET,
author = "Ji{\v{r}}{\'\i} Kla{\v{s}}ka and Ladislav Skula",
title = "{Mordell}'s Equation and the {Tribonacci} Family",
journal = j-FIB-QUART,
volume = "49",
number = "4",
pages = "310--??",
month = nov,
year = "2011",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Nov 9 10:24:44 MST 2011",
bibsource = "http://www.fq.math.ca/49-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/49-4/klaska.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kilic:2011:FFS,
author = "Emrah Kili{\c{c}} and Helmut Prodinger and Ilker Akkus
and Hideyuki Ohtsuka",
title = "Formulas for {Fibonomial} Sums with Generalized
{Fibonacci} and {Lucas} Coefficients",
journal = j-FIB-QUART,
volume = "49",
number = "4",
pages = "320--??",
month = nov,
year = "2011",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Nov 9 10:24:44 MST 2011",
bibsource = "http://www.fq.math.ca/49-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/49-4/kilic.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Steuding:2011:WFN,
author = "J{\"o}rn Steuding",
title = "What {Fibonacci} Numbers Have to Do with Congruent
Numbers?",
journal = j-FIB-QUART,
volume = "49",
number = "4",
pages = "330--??",
month = nov,
year = "2011",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Nov 9 10:24:44 MST 2011",
bibsource = "http://www.fq.math.ca/49-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/49-4/steuding.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Baczkowski:2011:LSL,
author = "Daniel Baczkowski and Olaolu Fasoranti and Carrie E.
Finch",
title = "{Lucas--Sierpi{\'n}ski} and {Lucas--Riesel} Numbers",
journal = j-FIB-QUART,
volume = "49",
number = "4",
pages = "334--??",
month = nov,
year = "2011",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Nov 9 10:24:44 MST 2011",
bibsource = "http://www.fq.math.ca/49-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/49-4/baczkowski.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Sha:2011:CSR,
author = "Min Sha",
title = "On the Cycle Structure of Repeated Exponentiation
Modulo a Prime Power",
journal = j-FIB-QUART,
volume = "49",
number = "4",
pages = "340--??",
month = nov,
year = "2011",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Nov 9 10:24:44 MST 2011",
bibsource = "http://www.fq.math.ca/49-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/49-4/sha.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Sills:2011:CPF,
author = "Andrew V. Sills",
title = "Compositions, Partitions, and {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "49",
number = "4",
pages = "348--??",
month = nov,
year = "2011",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Nov 9 10:24:44 MST 2011",
bibsource = "http://www.fq.math.ca/49-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/49-4/sills.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Griffiths:2011:BLF,
author = "Martin Griffiths",
title = "{Binet}-Like Formulas From a Simple Expansion",
journal = j-FIB-QUART,
volume = "49",
number = "4",
pages = "355--??",
month = nov,
year = "2011",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Nov 9 10:24:44 MST 2011",
bibsource = "http://www.fq.math.ca/49-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/49-4/griffiths.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Alperin:2011:ISG,
author = "Roger C. Alperin",
title = "Integer Sequences Generated by {$ x_{n + 1} = (x_n^2 +
A) / (x_n - 1) $}",
journal = j-FIB-QUART,
volume = "49",
number = "4",
pages = "362--??",
month = nov,
year = "2011",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Nov 9 10:24:44 MST 2011",
bibsource = "http://www.fq.math.ca/49-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/49-4/alperin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2011:FCAc,
author = "Anonymous",
title = "{Fibonacci Conference} Announcement",
journal = j-FIB-QUART,
volume = "49",
number = "4",
pages = "366--??",
month = nov,
year = "2011",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Nov 9 10:24:44 MST 2011",
bibsource = "http://www.fq.math.ca/49-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers/49-4/Announcement2012.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Euler:2011:EPSd,
author = "Russ Euler and Jawad Sadek",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "49",
number = "4",
pages = "367--??",
month = nov,
year = "2011",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Nov 9 10:24:44 MST 2011",
bibsource = "http://www.fq.math.ca/49-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/ElemProbNOV2011.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2011:APSd,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "49",
number = "4",
pages = "374--??",
month = nov,
year = "2011",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Nov 9 10:24:44 MST 2011",
bibsource = "http://www.fq.math.ca/49-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/November2011advanced.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2011:VI,
author = "Anonymous",
title = "Volume Index",
journal = j-FIB-QUART,
volume = "49",
number = "4",
pages = "381--??",
month = nov,
year = "2011",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Nov 9 10:24:44 MST 2011",
bibsource = "http://www.fq.math.ca/49-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Volume_Index/volume_index_2011.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brown:2012:SRT,
author = "Jason I. Brown and Karl Dilcher and Dante V. Manna",
title = "Series Representations of Theta Functions in Terms of
a Sequence of Polynomials",
journal = j-FIB-QUART,
volume = "50",
number = "1",
pages = "5--??",
month = feb,
year = "2012",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Mar 5 14:25:06 MST 2012",
bibsource = "http://www.fq.math.ca/50-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/50-1/brown.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ericksen:2012:PDB,
author = "Larry Ericksen and Peter G. Anderson",
title = "Patterns in Differences Between Rows in
$k$-{Zeckendorf} Arrays",
journal = j-FIB-QUART,
volume = "50",
number = "1",
pages = "11--??",
month = feb,
year = "2012",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Mar 5 14:25:06 MST 2012",
bibsource = "http://www.fq.math.ca/50-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/50-1/ericksen.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ozbolt:2012:NSD,
author = "Joseph S. Ozbolt",
title = "A New Sequence Derived From a Combination of Cubes
with Volume {$ F_n^3 $}",
journal = j-FIB-QUART,
volume = "50",
number = "1",
pages = "19--??",
month = feb,
year = "2012",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Mar 5 14:25:06 MST 2012",
bibsource = "http://www.fq.math.ca/50-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/50-1/ozbolt.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Chu:2012:SFL,
author = "Wenchang Chu and Nadia N. Li",
title = "Subsequences of {Fibonacci} and {Lucas} Polynomials
with Geometric Subscripts",
journal = j-FIB-QUART,
volume = "50",
number = "1",
pages = "27--??",
month = feb,
year = "2012",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Mar 5 14:25:06 MST 2012",
bibsource = "http://www.fq.math.ca/50-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/50-1/chu.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Marques:2012:OAI,
author = "Diego Marques",
title = "The Order of Appearance of Integers at Most One Away
From {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "50",
number = "1",
pages = "36--??",
month = feb,
year = "2012",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Mar 5 14:25:06 MST 2012",
bibsource = "http://www.fq.math.ca/50-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/50-1/marques.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kuhapatanakul:2012:SCB,
author = "Kantaphon Kuhapatanakul",
title = "Some Connections Between a Generalized {Tribonacci}
Triangle and a Generalized {Fibonacci} Sequence",
journal = j-FIB-QUART,
volume = "50",
number = "1",
pages = "44--??",
month = feb,
year = "2012",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Mar 5 14:25:06 MST 2012",
bibsource = "http://www.fq.math.ca/50-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/50-1/kuhapatanakul.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Curtin:2012:LHF,
author = "Brian Curtin and Ena Salter Michael and David Stone",
title = "{Lucas}' Hyperbolas for {Fibonacci} Vectors",
journal = j-FIB-QUART,
volume = "50",
number = "1",
pages = "51--??",
month = feb,
year = "2012",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Mar 5 14:25:06 MST 2012",
bibsource = "http://www.fq.math.ca/50-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/50-1/curtin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Nyblom:2012:SGP,
author = "Michael A. Nyblom",
title = "{Sophie Germain} Primes and the Exceptional Values of
the Equal-Sum-And-Product Problem",
journal = j-FIB-QUART,
volume = "50",
number = "1",
pages = "58--??",
month = feb,
year = "2012",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Mar 5 14:25:06 MST 2012",
bibsource = "http://www.fq.math.ca/50-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/50-1/nyblom.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gauthier:2012:PFA,
author = "N. Gauthier",
title = "Polynomial Forms for Alternating Sums of Products of
Binomial-{Catalan} Numbers",
journal = j-FIB-QUART,
volume = "50",
number = "1",
pages = "62--??",
month = feb,
year = "2012",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Mar 5 14:25:06 MST 2012",
bibsource = "http://www.fq.math.ca/50-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/50-1/gauthier.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Terr:2012:SII,
author = "David Terr",
title = "Some Interesting Infinite Families of Primitive
{Pythagorean} Triples",
journal = j-FIB-QUART,
volume = "50",
number = "1",
pages = "68--??",
month = feb,
year = "2012",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Mar 5 14:25:06 MST 2012",
bibsource = "http://www.fq.math.ca/50-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/50-1/terr.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Euler:2012:EPSa,
author = "Russ Euler and Jawad Sadek",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "50",
number = "1",
pages = "82--??",
month = feb,
year = "2012",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Mar 5 14:25:06 MST 2012",
bibsource = "http://www.fq.math.ca/50-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/ElemProbFeb2012.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2012:APSa,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "50",
number = "1",
pages = "89--??",
month = feb,
year = "2012",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Mar 5 14:25:06 MST 2012",
bibsource = "http://www.fq.math.ca/50-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/February2012advanced.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2012:FCAb,
author = "Anonymous",
title = "{Fibonacci} Conference Announcement",
journal = j-FIB-QUART,
volume = "50",
number = "2",
pages = "98--??",
month = may,
year = "2012",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 3 10:14:14 MDT 2012",
bibsource = "http://www.fq.math.ca/50-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Announcements/Announcement2012.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hamlin:2012:RPI,
author = "Nathan Hamlin and William A. Webb",
title = "Representing Positive Integers as a Sum of Linear
Recurrence Sequences",
journal = j-FIB-QUART,
volume = "50",
number = "2",
pages = "99--??",
month = may,
year = "2012",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 3 10:14:14 MDT 2012",
bibsource = "http://www.fq.math.ca/50-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/50-2/hamlin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Behrend:2012:PKE,
author = "Michael Behrend",
title = "Proof of {Kimberling}'s ``Even Second Column''
Conjecture",
journal = j-FIB-QUART,
volume = "50",
number = "2",
pages = "106--??",
month = may,
year = "2012",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 3 10:14:14 MDT 2012",
bibsource = "http://www.fq.math.ca/50-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/50-2/behrend.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bacon:2012:EFF,
author = "Michael R. Bacon and Charles K. Cook and Russell Jay
Hendel",
title = "Extending {Freitag}'s {Fibonacci}-Like Magic Square to
Other Dimensions",
journal = j-FIB-QUART,
volume = "50",
number = "2",
pages = "119--??",
month = may,
year = "2012",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 3 10:14:14 MDT 2012",
bibsource = "http://www.fq.math.ca/50-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/50-2/bacon.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hirschhorn:2012:EAN,
author = "Michael D. Hirschhorn",
title = "Estimating the {Ap{\'e}ry} Numbers",
journal = j-FIB-QUART,
volume = "50",
number = "2",
pages = "129--??",
month = may,
year = "2012",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 3 10:14:14 MDT 2012",
bibsource = "http://www.fq.math.ca/50-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/50-2/hirschhorn1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Marques:2012:OAPa,
author = "Diego Marques",
title = "The Order of Appearance of Product of Consecutive
{Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "50",
number = "2",
pages = "132--??",
month = may,
year = "2012",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 3 10:14:14 MDT 2012",
bibsource = "http://www.fq.math.ca/50-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/50-2/marques1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hirschhorn:2012:NST,
author = "Michael D. Hirschhorn",
title = "The Number of Sequences of $n$ Tosses of a Coin with
$k$ Pairs of Consecutive Heads",
journal = j-FIB-QUART,
volume = "50",
number = "2",
pages = "140--??",
month = may,
year = "2012",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 3 10:14:14 MDT 2012",
bibsource = "http://www.fq.math.ca/50-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/50-2/hirschhorn2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wassell:2012:ELR,
author = "Stephen R. Wassell and Samantha Benito",
title = "Edge-Length Ratios Between Dual Platonic Solids: a
Surprisingly New Result Involving the {Golden Ratio}",
journal = j-FIB-QUART,
volume = "50",
number = "2",
pages = "144--??",
month = may,
year = "2012",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 3 10:14:14 MDT 2012",
bibsource = "http://www.fq.math.ca/50-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/50-2/wassell.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Marques:2012:SNS,
author = "Diego Marques and Pavel Trojovsk{\'y}",
title = "On Some New Sums of {Fibonomial} Coefficients",
journal = j-FIB-QUART,
volume = "50",
number = "2",
pages = "155--??",
month = may,
year = "2012",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 3 10:14:14 MDT 2012",
bibsource = "http://www.fq.math.ca/50-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/50-2/marques2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Florez:2012:GPH,
author = "Rigoberto Fl{\'o}rez and Leandro Junes",
title = "{GCD} Properties in {Hosoya}'s Triangle",
journal = j-FIB-QUART,
volume = "50",
number = "2",
pages = "163--??",
month = may,
year = "2012",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 3 10:14:14 MDT 2012",
bibsource = "http://www.fq.math.ca/50-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/50-2/florez.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ide:2012:PFS,
author = "Joshua Ide and Marc S. Renault",
title = "Power {Fibonacci} Sequences",
journal = j-FIB-QUART,
volume = "50",
number = "2",
pages = "175--??",
month = may,
year = "2012",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 3 10:14:14 MDT 2012",
bibsource = "http://www.fq.math.ca/50-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/50-2/ide.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Euler:2012:EPSb,
author = "Russ Euler and Jawad Sadek",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "50",
number = "2",
pages = "180--??",
month = may,
year = "2012",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 3 10:14:14 MDT 2012",
bibsource = "http://www.fq.math.ca/50-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/ElemProbMay2012.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2012:APSb,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "50",
number = "2",
pages = "187--??",
month = may,
year = "2012",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 3 10:14:14 MDT 2012",
bibsource = "http://www.fq.math.ca/50-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/May2012advanced.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Johnson:2012:RFI,
author = "Marjorie Bicknell Johnson",
title = "A Report on the {Fifteenth International Conference on
Fibonacci Numbers and Their Applications}",
journal = j-FIB-QUART,
volume = "50",
number = "3",
pages = "194--??",
month = aug,
year = "2012",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 3 10:14:18 MDT 2012",
bibsource = "http://www.fq.math.ca/50-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Announcements/ConferenceReport15.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Somer:2012:PDM,
author = "Lawrence Somer and Michal K{\v{r}}{\'\i}{\v{z}}ek",
title = "Power Digraphs Modulo $n$ are Symmetric of Order {$M$}
If and Only If {$M$} is Square Free",
journal = j-FIB-QUART,
volume = "50",
number = "3",
pages = "196--??",
month = aug,
year = "2012",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 3 10:14:18 MDT 2012",
bibsource = "http://www.fq.math.ca/50-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/50-3/somer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Vandervelde:2012:DFS,
author = "Sam Vandervelde",
title = "On the Divisibility of {Fibonacci} Sequences by Primes
of Index Two",
journal = j-FIB-QUART,
volume = "50",
number = "3",
pages = "207--??",
month = aug,
year = "2012",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 3 10:14:18 MDT 2012",
bibsource = "http://www.fq.math.ca/50-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/50-3/vandervelde.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Chamberland:2012:FTP,
author = "Marc Chamberland",
title = "Finite Trigonometric Product and Sum Identities",
journal = j-FIB-QUART,
volume = "50",
number = "3",
pages = "217--??",
month = aug,
year = "2012",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 3 10:14:18 MDT 2012",
bibsource = "http://www.fq.math.ca/50-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/50-3/chamberland.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Komatsu:2012:CNC,
author = "Takao Komatsu",
title = "Congruent Numbers and Continued Fractions",
journal = j-FIB-QUART,
volume = "50",
number = "3",
pages = "222--??",
month = aug,
year = "2012",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 3 10:14:18 MDT 2012",
bibsource = "http://www.fq.math.ca/50-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/50-3/komatsu.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Chen:2012:EAI,
author = "Kwang-Wu Chen",
title = "Extensions of An Amazing Identity of {Ramanujan}",
journal = j-FIB-QUART,
volume = "50",
number = "3",
pages = "227--??",
month = aug,
year = "2012",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 3 10:14:18 MDT 2012",
bibsource = "http://www.fq.math.ca/50-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/50-3/chen.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ellia:2012:RRO,
author = "Ph. Ellia",
title = "A Remark on the Radical of Odd Perfect Numbers",
journal = j-FIB-QUART,
volume = "50",
number = "3",
pages = "231--??",
month = aug,
year = "2012",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 3 10:14:18 MDT 2012",
bibsource = "http://www.fq.math.ca/50-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/50-3/ellia.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Pillichshammer:2012:DVC,
author = "Friedrich Pillichshammer",
title = "On the Discrepancy of the {Van Der Corput} Sequence
Indexed by {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "50",
number = "3",
pages = "235--??",
month = aug,
year = "2012",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 3 10:14:18 MDT 2012",
bibsource = "http://www.fq.math.ca/50-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/50-3/pillichshammer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Marques:2012:OAPb,
author = "Diego Marques",
title = "The Order of Appearance of Powers of {Fibonacci} and
{Lucas} Numbers",
journal = j-FIB-QUART,
volume = "50",
number = "3",
pages = "239--??",
month = aug,
year = "2012",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 3 10:14:18 MDT 2012",
bibsource = "http://www.fq.math.ca/50-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/50-3/marques.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Euler:2012:CRB,
author = "Russell Euler and Jawad Sadek",
title = "Congruence Relations from {Binet} Forms",
journal = j-FIB-QUART,
volume = "50",
number = "3",
pages = "246--??",
month = aug,
year = "2012",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 3 10:14:18 MDT 2012",
bibsource = "http://www.fq.math.ca/50-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/50-3/euler.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Abrate:2012:PRC,
author = "Marco Abrate and Stefano Barbero and Umberto Cerruti
and Nadir Murru",
title = "Periodic Representations for Cubic Irrationalities",
journal = j-FIB-QUART,
volume = "50",
number = "3",
pages = "252--??",
month = aug,
year = "2012",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 3 10:14:18 MDT 2012",
bibsource = "http://www.fq.math.ca/50-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/50-3/abrate.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Avart:2012:RDS,
author = "Christian Avart",
title = "Reversing {Ducci} Sequences",
journal = j-FIB-QUART,
volume = "50",
number = "3",
pages = "265--??",
month = aug,
year = "2012",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 3 10:14:18 MDT 2012",
bibsource = "http://www.fq.math.ca/50-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/50-3/avart.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Euler:2012:EPSc,
author = "Russ Euler and Jawad Sadek",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "50",
number = "3",
pages = "272--??",
month = aug,
year = "2012",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 3 10:14:18 MDT 2012",
bibsource = "http://www.fq.math.ca/50-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/ElemProbAugust2012.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2012:APSc,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "50",
number = "3",
pages = "280--??",
month = aug,
year = "2012",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 3 10:14:18 MDT 2012",
bibsource = "http://www.fq.math.ca/50-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/2012AugustAdvanced.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Johnson:2012:FQF,
author = "Marjorie Bicknell Johnson",
title = "The {Fibonacci Quarterly}: Fifty Years",
journal = j-FIB-QUART,
volume = "50",
number = "4",
pages = "290--??",
month = nov,
year = "2012",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Dec 15 07:49:56 MST 2012",
bibsource = "http://www.fq.math.ca/50-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Announcements/JohnsonFiftyYears.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kimberling:2012:LPS,
author = "Clark Kimberling",
title = "Limits of Polynomial Sequences",
journal = j-FIB-QUART,
volume = "50",
number = "4",
pages = "294--??",
month = nov,
year = "2012",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Dec 15 07:49:56 MST 2012",
bibsource = "http://www.fq.math.ca/50-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/50-4/kimberling.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Shapcott:2012:CCP,
author = "Caroline Shapcott",
title = "{$C$}-Color Compositions and Palindromes",
journal = j-FIB-QUART,
volume = "50",
number = "4",
pages = "297--??",
month = nov,
year = "2012",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Dec 15 07:49:56 MST 2012",
bibsource = "http://www.fq.math.ca/50-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/50-4/shapcott.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bunder:2012:HFP,
author = "Martin W. Bunder",
title = "{Horadam} Functions and Powers of Irrationals",
journal = j-FIB-QUART,
volume = "50",
number = "4",
pages = "304--??",
month = nov,
year = "2012",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Dec 15 07:49:56 MST 2012",
bibsource = "http://www.fq.math.ca/50-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/50-4/bunder.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rush:2012:DRG,
author = "David E. Rush",
title = "Degree $n$ Relatives of the Golden Ratio and
Resultants of the Corresponding Polynomials",
journal = j-FIB-QUART,
volume = "50",
number = "4",
pages = "313--??",
month = nov,
year = "2012",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Dec 15 07:49:56 MST 2012",
bibsource = "http://www.fq.math.ca/50-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/50-4/rush.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Mak:2012:ADS,
author = "Kit-Ho Mak",
title = "An Analogue of the {Ducci} Sequences Over Function
Fields",
journal = j-FIB-QUART,
volume = "50",
number = "4",
pages = "326--??",
month = nov,
year = "2012",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Dec 15 07:49:56 MST 2012",
bibsource = "http://www.fq.math.ca/50-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/50-4/mak.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Sofo:2012:FSP,
author = "A. Sofo",
title = "Finite Sums in {Pascal's Triangle}",
journal = j-FIB-QUART,
volume = "50",
number = "4",
pages = "337--??",
month = nov,
year = "2012",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Dec 15 07:49:56 MST 2012",
bibsource = "http://www.fq.math.ca/50-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/50-4/sofo.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Marques:2012:FPO,
author = "Diego Marques",
title = "Fixed Points of the Order of Appearance in the
{Fibonacci} Sequence",
journal = j-FIB-QUART,
volume = "50",
number = "4",
pages = "346--??",
month = nov,
year = "2012",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Dec 15 07:49:56 MST 2012",
bibsource = "http://www.fq.math.ca/50-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/50-4/marques.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Griffiths:2012:EDD,
author = "Martin Griffiths",
title = "Extending the Domains of Definition of Some
{Fibonacci} Identities",
journal = j-FIB-QUART,
volume = "50",
number = "4",
pages = "352--??",
month = nov,
year = "2012",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Dec 15 07:49:56 MST 2012",
bibsource = "http://www.fq.math.ca/50-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/50-4/griffiths.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Diffenderfer:2012:BBT,
author = "James Diffenderfer",
title = "A Bijection Between Two Classes of Restricted
Compositions",
journal = j-FIB-QUART,
volume = "50",
number = "4",
pages = "360--??",
month = nov,
year = "2012",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Dec 15 07:49:56 MST 2012",
bibsource = "http://www.fq.math.ca/50-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/50-4/diffenderfer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Euler:2012:EPS,
author = "Russ Euler and Jawad Sadek",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "50",
number = "4",
pages = "366--??",
month = nov,
year = "2012",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Dec 15 07:49:56 MST 2012",
bibsource = "http://www.fq.math.ca/50-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/ElemProbNov2012.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2012:APSd,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "50",
number = "4",
pages = "374--??",
month = nov,
year = "2012",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Dec 15 07:49:56 MST 2012",
bibsource = "http://www.fq.math.ca/50-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/November2012advanced.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2012:VI,
author = "Anonymous",
title = "Volume Index",
journal = j-FIB-QUART,
volume = "50",
number = "4",
pages = "382--??",
month = nov,
year = "2012",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Dec 15 07:49:56 MST 2012",
bibsource = "http://www.fq.math.ca/50-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Volume_Index/VolumeIndex2012.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Somer:2013:ECD,
author = "Lawrence Somer and Michal Kr{\'\i}zek",
title = "Easy Criteria to Determine if a Prime Divides Certain
Second-Order Recurrences",
journal = j-FIB-QUART,
volume = "51",
number = "1",
pages = "3--??",
month = feb,
year = "2013",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Feb 16 12:39:12 MST 2013",
bibsource = "http://www.fq.math.ca/51-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/51-1/somer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Beckwith:2013:AGD,
author = "Olivia Beckwith and Amanda Bower and Louis Gaudet and
Rachel Insoft and Shiyu Li and Steven J. Miller and
Philip Tosteson",
title = "The Average Gap Distribution For Generalized
{Zeckendorf} Decompositions",
journal = j-FIB-QUART,
volume = "51",
number = "1",
pages = "13--??",
month = feb,
year = "2013",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Feb 16 12:39:12 MST 2013",
bibsource = "http://www.fq.math.ca/51-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/51-1/beckwith.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bagdasar:2013:CPC,
author = "Ovidiu D. Bagdasar and Peter J. Larcombe",
title = "On the Characterization of Periodic Complex {Horadam}
Sequences",
journal = j-FIB-QUART,
volume = "51",
number = "1",
pages = "28--??",
month = feb,
year = "2013",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Feb 16 12:39:12 MST 2013",
bibsource = "http://www.fq.math.ca/51-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/51-1/bagdasar.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Marques:2013:OAP,
author = "Diego Marques",
title = "The Order of Appearance of the Product of Consecutive
{Lucas} Numbers",
journal = j-FIB-QUART,
volume = "51",
number = "1",
pages = "38--??",
month = feb,
year = "2013",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Feb 16 12:39:12 MST 2013",
bibsource = "http://www.fq.math.ca/51-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/51-1/marques1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Georghiou:2013:MPD,
author = "Constantinos Georghiou and Andreas N. Philippou and
Abolfazl Saghafi",
title = "On the Modes of the {Poisson} Distribution of Order
$k$",
journal = j-FIB-QUART,
volume = "51",
number = "1",
pages = "44--??",
month = feb,
year = "2013",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Feb 16 12:39:12 MST 2013",
bibsource = "http://www.fq.math.ca/51-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/51-1/georghiou.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kuhapatanakul:2013:EPS,
author = "Kantaphon Kuhapatanakul and Rattanapol Wasutharat",
title = "Expressions for the Products of the Second Order
Linear Recurrences",
journal = j-FIB-QUART,
volume = "51",
number = "1",
pages = "49--??",
month = feb,
year = "2013",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Feb 16 12:39:12 MST 2013",
bibsource = "http://www.fq.math.ca/51-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/51-1/kuhapatanakul.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Dence:2013:IRG,
author = "Joseph B. Dence and Thomas P. Dence",
title = "On Inverse Relations for General {Lucas} Sequences of
Polynomials",
journal = j-FIB-QUART,
volume = "51",
number = "1",
pages = "55--??",
month = feb,
year = "2013",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Feb 16 12:39:12 MST 2013",
bibsource = "http://www.fq.math.ca/51-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/51-1/dence.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Shattuck:2013:CPD,
author = "Mark Shattuck",
title = "Combinatorial Proofs of Determinant Formulas for the
{Fibonacci} and {Lucas} Polynomials",
journal = j-FIB-QUART,
volume = "51",
number = "1",
pages = "63--??",
month = feb,
year = "2013",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Feb 16 12:39:12 MST 2013",
bibsource = "http://www.fq.math.ca/51-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/51-1/shattuck.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Schinzel:2013:DKB,
author = "A. Schinzel",
title = "On Divisibility by $ (a^k - b^k) / (a - b) $",
journal = j-FIB-QUART,
volume = "51",
number = "1",
pages = "72--??",
month = feb,
year = "2013",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Feb 16 12:39:12 MST 2013",
bibsource = "http://www.fq.math.ca/51-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/51-1/schinzel.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Marques:2013:DPC,
author = "Diego Marques and James A. Sellers and Pavel
Trojovsk{\'y}",
title = "On Divisibility Properties of Certain {Fibonomial}
Coefficients by a Prime",
journal = j-FIB-QUART,
volume = "51",
number = "1",
pages = "78--??",
month = feb,
year = "2013",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Feb 16 12:39:12 MST 2013",
bibsource = "http://www.fq.math.ca/51-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/51-1/marques2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Euler:2013:EPSa,
author = "Russ Euler and Jawad Sadek",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "51",
number = "1",
pages = "84--??",
month = feb,
year = "2013",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Feb 16 12:39:12 MST 2013",
bibsource = "http://www.fq.math.ca/51-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/ElemProbFeb2013.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2013:APSa,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "51",
number = "1",
pages = "91--??",
month = feb,
year = "2013",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Feb 16 12:39:12 MST 2013",
bibsource = "http://www.fq.math.ca/51-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/February2013advanced.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cosgrave:2013:PRQ,
author = "John B. Cosgrave and Karl Dilcher",
title = "Pairs of Reciprocal Quadratic Congruences Involving
Primes",
journal = j-FIB-QUART,
volume = "51",
number = "2",
pages = "98--??",
month = may,
year = "2013",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Jun 21 10:34:14 MDT 2013",
bibsource = "http://www.fq.math.ca/51-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/51-2/cosgrave.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2013:FEC,
author = "Florian Luca and Aynur Yal{\c{c}}iner",
title = "{$L$}-Functions of Elliptic Curves and {Fibonacci}
Numbers",
journal = j-FIB-QUART,
volume = "51",
number = "2",
pages = "112--??",
month = may,
year = "2013",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Jun 21 10:34:14 MDT 2013",
bibsource = "http://www.fq.math.ca/51-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/51-2/luca.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Schinzel:2013:PLN,
author = "A. Schinzel",
title = "A Property of {Lehmer} Numbers",
journal = j-FIB-QUART,
volume = "51",
number = "2",
pages = "119--??",
month = may,
year = "2013",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Jun 21 10:34:14 MDT 2013",
bibsource = "http://www.fq.math.ca/51-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/51-2/schinzel.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hirschhorn:2013:EAR,
author = "Michael D. Hirschhorn and Vasile Sinescu",
title = "Elementary Algebra in {Ramanujan}'s Lost Notebook",
journal = j-FIB-QUART,
volume = "51",
number = "2",
pages = "123--??",
month = may,
year = "2013",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Jun 21 10:34:14 MDT 2013",
bibsource = "http://www.fq.math.ca/51-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/51-2/hirschhorn1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Collins:2013:BWC,
author = "Alexander Collins and Charles Dedrickson and Hua
Wang",
title = "Binary Words, $n$-Color Compositions and Bisection of
the {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "51",
number = "2",
pages = "130--??",
month = may,
year = "2013",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Jun 21 10:34:14 MDT 2013",
bibsource = "http://www.fq.math.ca/51-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/51-2/collins.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Avart:2013:RAC,
author = "Christian Avart",
title = "A Result About Cycles in {Ducci} Sequences",
journal = j-FIB-QUART,
volume = "51",
number = "2",
pages = "137--??",
month = may,
year = "2013",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Jun 21 10:34:14 MDT 2013",
bibsource = "http://www.fq.math.ca/51-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/51-2/avart.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Mestrovic:2013:LTT,
author = "Romeo Me{\v{s}}trovi{\'c}",
title = "A {Lucas} Type Theorem Modulo Prime Powers",
journal = j-FIB-QUART,
volume = "51",
number = "2",
pages = "142--??",
month = may,
year = "2013",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Jun 21 10:34:14 MDT 2013",
bibsource = "http://www.fq.math.ca/51-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/51-2/mestrovic.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Estes:2013:ISC,
author = "John Estes and William Staton and Bing Wei",
title = "Independent Sets of Cardinality $s$ of Maximal
Outerplanar Graphs",
journal = j-FIB-QUART,
volume = "51",
number = "2",
pages = "147--??",
month = may,
year = "2013",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Jun 21 10:34:14 MDT 2013",
bibsource = "http://www.fq.math.ca/51-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/51-2/estes.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Avila:2013:MWL,
author = "Brandon Avila and Yongyi Chen",
title = "On Moduli For Which the {Lucas} Numbers Contain a
Complete Residue System",
journal = j-FIB-QUART,
volume = "51",
number = "2",
pages = "151--??",
month = may,
year = "2013",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Jun 21 10:34:14 MDT 2013",
bibsource = "http://www.fq.math.ca/51-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/51-2/avila.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kilic:2013:VFM,
author = "Emrah K{\'\i}l{\'\i}{\c{c}} and Helmut Prodinger",
title = "Variants of the {Filbert} Matrix",
journal = j-FIB-QUART,
volume = "51",
number = "2",
pages = "153--??",
month = may,
year = "2013",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Jun 21 10:34:14 MDT 2013",
bibsource = "http://www.fq.math.ca/51-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/51-2/kilic.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hirschhorn:2013:AB,
author = "Michael D. Hirschhorn",
title = "The Asymptotic Behavior of {$ \prod_{k = 0}^n n
\choose k $}",
journal = j-FIB-QUART,
volume = "51",
number = "2",
pages = "163--??",
month = may,
year = "2013",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Jun 21 10:34:14 MDT 2013",
bibsource = "http://www.fq.math.ca/51-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/51-2/hirschhorn2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Larcombe:2013:RBI,
author = "Peter J. Larcombe and Ovidiu D. Bagdasar",
title = "On a Result of {Bunder} Involving {Horadam} Sequences:
a Proof and Generalization",
journal = j-FIB-QUART,
volume = "51",
number = "2",
pages = "174--??",
month = may,
year = "2013",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Jun 21 10:34:14 MDT 2013",
bibsource = "http://www.fq.math.ca/51-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/51-2/larcombe.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Euler:2013:EPSb,
author = "Russ Euler and Jawad Sadek",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "51",
number = "2",
pages = "177--??",
month = may,
year = "2013",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Jun 21 10:34:14 MDT 2013",
bibsource = "http://www.fq.math.ca/51-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/ElemProbMay2013.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2013:APSb,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "51",
number = "2",
pages = "186--??",
month = may,
year = "2013",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Jun 21 10:34:14 MDT 2013",
bibsource = "http://www.fq.math.ca/51-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/May2013advanced.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Somer:2013:PLL,
author = "Lawrence Somer and Michal Kr{\'\i}zek",
title = "Prime {Lehmer} and {Lucas} Numbers With Composite
Indices",
journal = j-FIB-QUART,
volume = "51",
number = "3",
pages = "194--??",
month = aug,
year = "2013",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Aug 12 10:45:43 MDT 2013",
bibsource = "http://www.fq.math.ca/51-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/51-3/somer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hirschhorn:2013:EAN,
author = "Michael D. Hirschhorn",
title = "Estimating the {Ap{\'e}ry} Numbers {II}",
journal = j-FIB-QUART,
volume = "51",
number = "3",
pages = "215--??",
month = aug,
year = "2013",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Aug 12 10:45:43 MDT 2013",
bibsource = "http://www.fq.math.ca/51-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/51-3/hirschhorn1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Griffiths:2013:FRS,
author = "Jonny Griffiths and Martin Griffiths",
title = "{Fibonacci}-Related Sequences via Iterated {QRT}
Maps",
journal = j-FIB-QUART,
volume = "51",
number = "3",
pages = "218--??",
month = aug,
year = "2013",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Aug 12 10:45:43 MDT 2013",
bibsource = "http://www.fq.math.ca/51-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/51-3/griffiths.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2013:CFT,
author = "Florian Luca and Laszlo Szalay",
title = "On the Counting Function of Triples Whose Pairwise
Products Are Close to {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "51",
number = "3",
pages = "228--??",
month = aug,
year = "2013",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Aug 12 10:45:43 MDT 2013",
bibsource = "http://www.fq.math.ca/51-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/51-3/luca.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Marques:2013:SUB,
author = "Diego Marques",
title = "Sharper Upper Bounds for the Order of Appearance in
the {Fibonacci} Sequence",
journal = j-FIB-QUART,
volume = "51",
number = "3",
pages = "233--??",
month = aug,
year = "2013",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Aug 12 10:45:43 MDT 2013",
bibsource = "http://www.fq.math.ca/51-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/51-3/marques.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Panda:2013:GBN,
author = "G. K. Panda and S. S. Rout",
title = "Gap Balancing Numbers",
journal = j-FIB-QUART,
volume = "51",
number = "3",
pages = "239--??",
month = aug,
year = "2013",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Aug 12 10:45:43 MDT 2013",
bibsource = "http://www.fq.math.ca/51-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/51-3/panda.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ahlbach:2013:EAZ,
author = "Connor Ahlbach and Jeremy Usatine and Christiane
Frougny and Nicholas Pippenger",
title = "Efficient Algorithms for {Zeckendorf} Arithmetic",
journal = j-FIB-QUART,
volume = "51",
number = "3",
pages = "249--??",
month = aug,
year = "2013",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Aug 12 10:45:43 MDT 2013",
bibsource = "http://www.fq.math.ca/51-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/51-3/ahlbach.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hirschhorn:2013:NPa,
author = "Michael D. Hirschhorn",
title = "A Naive Proof that {$ F_{5n} \equiv 0 \pmod 5 $}",
journal = j-FIB-QUART,
volume = "51",
number = "3",
pages = "256--??",
month = aug,
year = "2013",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Aug 12 10:45:43 MDT 2013",
bibsource = "http://www.fq.math.ca/51-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/51-3/hirschhorn2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Deford:2013:CRG,
author = "Daryl Deford",
title = "Counting Rearrangements on Generalized Wheel Graphs",
journal = j-FIB-QUART,
volume = "51",
number = "3",
pages = "259--??",
month = aug,
year = "2013",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Aug 12 10:45:43 MDT 2013",
bibsource = "http://www.fq.math.ca/51-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/51-3/deford.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Voll:2013:SIF,
author = "Nils Gaute Voll",
title = "Some Identities for Four Term Recurrence Relations",
journal = j-FIB-QUART,
volume = "51",
number = "3",
pages = "268--??",
month = aug,
year = "2013",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Aug 12 10:45:43 MDT 2013",
bibsource = "http://www.fq.math.ca/51-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/51-3/voll.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Euler:2013:EPSc,
author = "Russ Euler and Jawad Sadek",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "51",
number = "3",
pages = "274--??",
month = aug,
year = "2013",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Aug 12 10:45:43 MDT 2013",
bibsource = "http://www.fq.math.ca/51-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/ElemProbAugust2013.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2013:APSc,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "51",
number = "3",
pages = "282--??",
month = aug,
year = "2013",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Aug 12 10:45:43 MDT 2013",
bibsource = "http://www.fq.math.ca/51-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/August2013advanced.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2013:FCA,
author = "Anonymous",
title = "{Fibonacci} Conference Announcement",
journal = j-FIB-QUART,
volume = "51",
number = "3",
pages = "288--??",
month = aug,
year = "2013",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Oct 30 12:01:34 2013",
bibsource = "http://www.fq.math.ca/51-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Announcements/Announcement2014back.pdf",
acknowledgement = ack-nhfb,
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Somer:2013:FPU,
author = "Lawrence Somer and Michal K{\v{r}}{\'\i}{\v{z}}ek",
title = "Fixed Points and Upper Bounds for the Rank of
Appearance in {Lucas} Sequences",
journal = j-FIB-QUART,
volume = "51",
number = "4",
pages = "291--??",
month = nov,
year = "2013",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Dec 2 15:37:21 MST 2013",
bibsource = "http://www.fq.math.ca/51-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/51-4/somer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Panraksa:2013:EDP,
author = "Chatchawan Panraksa and Aram Tangboonduangjit and Keng
Wiboonton",
title = "Exact Divisibility Properties of Some Subsequences of
{Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "51",
number = "4",
pages = "307--??",
month = nov,
year = "2013",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Dec 2 15:37:21 MST 2013",
bibsource = "http://www.fq.math.ca/51-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/51-4/panraksa.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ballot:2013:ZBB,
author = "Christian Ballot",
title = "On {Zeckendorf} and Base $b$ Digit Sums",
journal = j-FIB-QUART,
volume = "51",
number = "4",
pages = "319--??",
month = nov,
year = "2013",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Dec 2 15:37:21 MST 2013",
bibsource = "http://www.fq.math.ca/51-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/51-4/ballot.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hirschhorn:2013:NPb,
author = "Michael D. Hirschhorn",
title = "The Number of $1$'s in the Partitions of $n$",
journal = j-FIB-QUART,
volume = "51",
number = "4",
pages = "326--??",
month = nov,
year = "2013",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Dec 2 15:37:21 MST 2013",
bibsource = "http://www.fq.math.ca/51-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/51-4/hirschhorn.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lang:2013:FNI,
author = "Cheng Lien Lang and Mong Lung Lang",
title = "{Fibonacci} Numbers and Identities",
journal = j-FIB-QUART,
volume = "51",
number = "4",
pages = "330--??",
month = nov,
year = "2013",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Dec 2 15:37:21 MST 2013",
bibsource = "http://www.fq.math.ca/51-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/51-4/lang.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bagdasar:2013:NCH,
author = "Ovidiu D. Bagdasar and Peter J. Larcombe",
title = "On the Number of Complex {Horadam} Sequences with a
Fixed Period",
journal = j-FIB-QUART,
volume = "51",
number = "4",
pages = "339--??",
month = nov,
year = "2013",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Dec 2 15:37:21 MST 2013",
bibsource = "http://www.fq.math.ca/51-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/51-4/bagdasar.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Richter:2013:NPT,
author = "Christian Richter",
title = "A Note on Perfect Tilings of Rectangles with
Rectangles",
journal = j-FIB-QUART,
volume = "51",
number = "4",
pages = "348--??",
month = nov,
year = "2013",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Dec 2 15:37:21 MST 2013",
bibsource = "http://www.fq.math.ca/51-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/51-4/richter.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bedratyuk:2013:DIF,
author = "Leonid Bedratyuk",
title = "Derivations and Identitites for {Fibonacci} and
{Lucas} Polynomials",
journal = j-FIB-QUART,
volume = "51",
number = "4",
pages = "351--??",
month = nov,
year = "2013",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Dec 2 15:37:21 MST 2013",
bibsource = "http://www.fq.math.ca/51-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/51-4/bedratyuk.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Euler:2013:EPS,
author = "Russ Euler and Jawad Sadek",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "51",
number = "4",
pages = "367--??",
month = nov,
year = "2013",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Dec 2 15:37:21 MST 2013",
bibsource = "http://www.fq.math.ca/51-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/ElemProbSolnNov13.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2013:APS,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "51",
number = "4",
pages = "374--??",
month = nov,
year = "2013",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Dec 2 15:37:21 MST 2013",
bibsource = "http://www.fq.math.ca/51-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/November2013advanced.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2013:VI,
author = "Anonymous",
title = "Volume Index",
journal = j-FIB-QUART,
volume = "51",
number = "4",
pages = "381--??",
month = nov,
year = "2013",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Dec 2 15:37:21 MST 2013",
bibsource = "http://www.fq.math.ca/51-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Volume_Index/VolumeIndex2013.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2014:FCA,
author = "Anonymous",
title = "{Fibonacci} Conference Announcement",
journal = j-FIB-QUART,
volume = "52",
number = "1",
pages = "2--??",
month = feb,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Tue Mar 18 06:24:36 MDT 2014",
bibsource = "http://www.fq.math.ca/52-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Announcements/Announcement2014.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Damir:2014:MLS,
author = "Mohamed Taoufiq Damir and Bernadette Faye and Florian
Luca and Amadou Tall",
title = "Members of {Lucas} Sequences Whose {Euler} Function Is
a Power of $2$",
journal = j-FIB-QUART,
volume = "52",
number = "1",
pages = "3--??",
month = feb,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Tue Mar 18 06:24:36 MDT 2014",
bibsource = "http://www.fq.math.ca/52-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/52-1/damir.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hirschhorn:2014:NDP,
author = "Michael D. Hirschhorn",
title = "The Number of Different Parts in the Partitions of
$n$",
journal = j-FIB-QUART,
volume = "52",
number = "1",
pages = "10--??",
month = feb,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Tue Mar 18 06:24:36 MDT 2014",
bibsource = "http://www.fq.math.ca/52-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/52-1/hirschhorn.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Robbins:2014:TNR,
author = "Neville Robbins",
title = "On {Tribonacci} Numbers and $3$-Regular Compositions",
journal = j-FIB-QUART,
volume = "52",
number = "1",
pages = "16--??",
month = feb,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Tue Mar 18 06:24:36 MDT 2014",
bibsource = "http://www.fq.math.ca/52-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/52-1/robbins.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Khan:2014:SPF,
author = "M. A. Khan and Harris Kwong",
title = "On Sums of Products of {Fibonacci}-Type Recurrences",
journal = j-FIB-QUART,
volume = "52",
number = "1",
pages = "20--??",
month = feb,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Tue Mar 18 06:24:36 MDT 2014",
bibsource = "http://www.fq.math.ca/52-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/52-1/khan.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Garcia-Caballero:2014:NVL,
author = "Esther M. Garc{\'\i}a-Caballero and Samuel G. Moreno
and Michael P. Prophet",
title = "New {Vi{\`e}te}-Like Infinite Products of Nested
Radicals with {Fibonacci} and {Lucas} Numbers",
journal = j-FIB-QUART,
volume = "52",
number = "1",
pages = "27--??",
month = feb,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Tue Mar 18 06:24:36 MDT 2014",
bibsource = "http://www.fq.math.ca/52-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/52-1/garcia-caballero.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Caragiu:2014:DSP,
author = "Mihai Caragiu and Alexandru Zaharescu and Mohammad
Zaki",
title = "On {Ducci} Sequences with Primes",
journal = j-FIB-QUART,
volume = "52",
number = "1",
pages = "32--??",
month = feb,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Tue Mar 18 06:24:36 MDT 2014",
bibsource = "http://www.fq.math.ca/52-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/52-1/caragiu.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Sedaghat:2014:ZAS,
author = "H. Sedaghat",
title = "Zero-Avoiding Solutions of the {Fibonacci} Recurrence
Modulo a Prime",
journal = j-FIB-QUART,
volume = "52",
number = "1",
pages = "39--??",
month = feb,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Tue Mar 18 06:24:36 MDT 2014",
bibsource = "http://www.fq.math.ca/52-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/52-1/sedaghat.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Fox:2014:SPF,
author = "Kyle Fox and William B. Kinnersley and Daniel McDonald
and Nathan Orlow and Gregory J. Puleo",
title = "Spanning Paths in {Fibonacci}-Sum Graphs",
journal = j-FIB-QUART,
volume = "52",
number = "1",
pages = "46--??",
month = feb,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Tue Mar 18 06:24:36 MDT 2014",
bibsource = "http://www.fq.math.ca/52-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/52-1/fox.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Komatsu:2014:SGF,
author = "Takao Komatsu",
title = "Some Generalized {Fibonacci} Identities Including
Powers and Binomial Coefficients",
journal = j-FIB-QUART,
volume = "52",
number = "1",
pages = "50--??",
month = feb,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Tue Mar 18 06:24:36 MDT 2014",
bibsource = "http://www.fq.math.ca/52-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/52-1/komatsu.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lindroos:2014:OFN,
author = "Linus Lindroos and Andrew Sills and Hua Wang",
title = "Odd {Fibbinary} Numbers and the {Golden Ratio}",
journal = j-FIB-QUART,
volume = "52",
number = "1",
pages = "61--??",
month = feb,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Tue Mar 18 06:24:36 MDT 2014",
bibsource = "http://www.fq.math.ca/52-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/52-1/lindroos.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Herrmann:2014:GS,
author = "Burghard Herrmann",
title = "The {Golden Sequence}",
journal = j-FIB-QUART,
volume = "52",
number = "1",
pages = "66--??",
month = feb,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Tue Mar 18 06:24:36 MDT 2014",
bibsource = "http://www.fq.math.ca/52-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/52-1/herrmann.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Chaves:2014:DER,
author = "Ana Paula Chaves and Diego Marques",
title = "A {Diophantine} Equation Related to the Sum of Squares
of Consecutive $k$-Generalized {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "52",
number = "1",
pages = "70--??",
month = feb,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Tue Mar 18 06:24:36 MDT 2014",
bibsource = "http://www.fq.math.ca/52-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/52-1/chaves.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Larcombe:2014:NLI,
author = "Peter J. Larcombe and Eric J. Fennessey",
title = "A Non-Linear Identity for a Particular Class of
Polynomial Families",
journal = j-FIB-QUART,
volume = "52",
number = "1",
pages = "75--??",
month = feb,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Tue Mar 18 06:24:36 MDT 2014",
bibsource = "http://www.fq.math.ca/52-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/52-1/larcombe.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Euler:2014:EPSa,
author = "Russ Euler and Jawad Sadek",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "52",
number = "1",
pages = "80--??",
month = feb,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Tue Mar 18 06:24:36 MDT 2014",
bibsource = "http://www.fq.math.ca/52-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/ElemProbSolnFeb14.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2014:APSa,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "52",
number = "1",
pages = "87--??",
month = feb,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Tue Mar 18 06:24:36 MDT 2014",
bibsource = "http://www.fq.math.ca/52-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/February2014advanced.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Sloane:2014:A,
author = "N. J. A. Sloane",
title = "$ 2178 $ And All That",
journal = j-FIB-QUART,
volume = "52",
number = "2",
pages = "99--??",
month = may,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Tue May 27 06:20:57 MDT 2014",
bibsource = "http://www.fq.math.ca/52-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/52-2/sloane.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Benjamin:2014:CRF,
author = "Arthur T. Benjamin and Curtis R. Heberle",
title = "Counting on $r$-{Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "52",
number = "2",
pages = "121--??",
month = may,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Tue May 27 06:20:57 MDT 2014",
bibsource = "http://www.fq.math.ca/52-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/52-2/benjamin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Adegoke:2014:GRF,
author = "Kunle Adegoke",
title = "The {Golden Ratio}, {Fibonacci} Numbers and {BBP}-Type
Formulas",
journal = j-FIB-QUART,
volume = "52",
number = "2",
pages = "129--138",
month = may,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
MRclass = "11B39 (11Y60)",
MRnumber = "3214376",
MRreviewer = "Ovidiu Dumitru Bagdasar",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "http://www.fq.math.ca/52-2.html;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/52-2/adegoke.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Nakata:2014:APP,
author = "Toshio Nakata",
title = "Another Probabilistic Proof of a Binomial Identity",
journal = j-FIB-QUART,
volume = "52",
number = "2",
pages = "139--??",
month = may,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Tue May 27 06:20:57 MDT 2014",
bibsource = "http://www.fq.math.ca/52-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/52-2/nakata.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Koshy:2014:PEL,
author = "Thomas Koshy",
title = "Polynomial Extensions of the {Lucas} and {Ginsburg}
Identities",
journal = j-FIB-QUART,
volume = "52",
number = "2",
pages = "141--??",
month = may,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Tue May 27 06:20:57 MDT 2014",
bibsource = "http://www.fq.math.ca/52-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/52-2/koshy.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Jones:2014:GCS,
author = "Lenny Jones and Maria Markovich",
title = "Generating Composite Sequences by Appending Digits to
Special Types of Integers",
journal = j-FIB-QUART,
volume = "52",
number = "2",
pages = "148--??",
month = may,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Tue May 27 06:20:57 MDT 2014",
bibsource = "http://www.fq.math.ca/52-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/52-2/jones.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Metsankyla:2014:NKC,
author = "Tauno Mets{\"a}nkyl{\"a}",
title = "Note on {Kummer}'s Congruences for {Euler} Numbers",
journal = j-FIB-QUART,
volume = "52",
number = "2",
pages = "160--??",
month = may,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Tue May 27 06:20:57 MDT 2014",
bibsource = "http://www.fq.math.ca/52-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/52-2/metsankyla.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Onphaeng:2014:SDP,
author = "Kritkhajohn Onphaeng and Prapanpong Pongsriiam",
title = "Subsequences and Divisibility by Powers of the
{Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "52",
number = "2",
pages = "163--??",
month = may,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Tue May 27 06:20:57 MDT 2014",
bibsource = "http://www.fq.math.ca/52-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/52-2/onphaeng.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bunder:2014:PPP,
author = "Martin W. Bunder",
title = "Products and Powers, Powers and Exponentiations,
\ldots{}",
journal = j-FIB-QUART,
volume = "52",
number = "2",
pages = "172--??",
month = may,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Tue May 27 06:20:57 MDT 2014",
bibsource = "http://www.fq.math.ca/52-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/52-2/bunder.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Larcombe:2014:RBI,
author = "Peter J. Larcombe and Ovidiu D. Bagdasar and Eric J.
Fennessey",
title = "On a Result of {Bunder} Involving {Horadam} Sequences:
A New Proof",
journal = j-FIB-QUART,
volume = "52",
number = "2",
pages = "175--??",
month = may,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Tue May 27 06:20:57 MDT 2014",
bibsource = "http://www.fq.math.ca/52-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/52-2/larcombe.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Euler:2014:EPSb,
author = "Russ Euler and Jawad Sadek",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "52",
number = "2",
pages = "178--??",
month = may,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Tue May 27 06:20:57 MDT 2014",
bibsource = "http://www.fq.math.ca/52-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/ElemProbSolnMay14.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2014:APSb,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "52",
number = "2",
pages = "185--??",
month = may,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Tue May 27 06:20:57 MDT 2014",
bibsource = "http://www.fq.math.ca/52-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/MayAdvanced2014.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cook:2014:RR,
author = "Charles K. Cook",
title = "{RIT} Redux",
journal = j-FIB-QUART,
volume = "52",
number = "3",
pages = "194--??",
month = aug,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Sep 3 17:21:05 MDT 2014",
bibsource = "http://www.fq.math.ca/52-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Announcements/ConferenceReport16.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kimberling:2014:FFF,
author = "Clark Kimberling",
title = "Fusion, Fission, and Factors",
journal = j-FIB-QUART,
volume = "52",
number = "3",
pages = "195--??",
month = aug,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Sep 3 17:21:05 MDT 2014",
bibsource = "http://www.fq.math.ca/52-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/52-3/kimberling.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Philippou:2014:NMP,
author = "Andreas N. Philippou",
title = "A Note on the Modes of the {Poisson} Distribution of
Order $k$",
journal = j-FIB-QUART,
volume = "52",
number = "3",
pages = "203--??",
month = aug,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Sep 3 17:21:05 MDT 2014",
bibsource = "http://www.fq.math.ca/52-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/52-3/philippou.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bowman:2014:FCC,
author = "Douglas Bowman",
title = "{Fibonacci} Contractions of Continued Fractions",
journal = j-FIB-QUART,
volume = "52",
number = "3",
pages = "206--??",
month = aug,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Sep 3 17:21:05 MDT 2014",
bibsource = "http://www.fq.math.ca/52-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/52-3/bowman.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ochem:2014:ARR,
author = "Pascal Ochem and Micha{\"e}l Rao",
title = "Another Remark on the Radical of an Odd Perfect
Number",
journal = j-FIB-QUART,
volume = "52",
number = "3",
pages = "215--??",
month = aug,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Sep 3 17:21:05 MDT 2014",
bibsource = "http://www.fq.math.ca/52-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/52-3/ochem.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Griffiths:2014:SIG,
author = "Martin Griffiths",
title = "Some Identities via Geometric Series",
journal = j-FIB-QUART,
volume = "52",
number = "3",
pages = "218--??",
month = aug,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Sep 3 17:21:05 MDT 2014",
bibsource = "http://www.fq.math.ca/52-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/52-3/griffiths.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Davis:2014:PAS,
author = "Donald M. Davis",
title = "$p$-{Adic} {Stirling} Numbers of the Second Kind",
journal = j-FIB-QUART,
volume = "52",
number = "3",
pages = "226--??",
month = aug,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Sep 3 17:21:05 MDT 2014",
bibsource = "http://www.fq.math.ca/52-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/52-3/davis.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Larcombe:2014:CSE,
author = "Peter J. Larcombe and Sam T. O'Neill and Eric J.
Fennessey",
title = "On Certain Series Expansions of the Sine Function:
{Catalan} Numbers and Convergence",
journal = j-FIB-QUART,
volume = "52",
number = "3",
pages = "236--??",
month = aug,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Sep 3 17:21:05 MDT 2014",
bibsource = "http://www.fq.math.ca/52-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/52-3/larcombe.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Euler:2014:GPE,
author = "Russell Euler and Jawad Sadek",
title = "On a Generalized {Pell} Equation and a
Characterization of the {Fibonacci} and {Lucas}
Numbers",
journal = j-FIB-QUART,
volume = "52",
number = "3",
pages = "243--??",
month = aug,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Sep 3 17:21:05 MDT 2014",
bibsource = "http://www.fq.math.ca/52-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/52-3/euler.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Demontigny:2014:GFF,
author = "Philippe Demontigny and Thao Do and Archit Kulkarni
and Steven J. Miller and Umang Varma",
title = "A Generalization of {Fibonacci} Far-Difference
Representations and {Gaussian} Behavior",
journal = j-FIB-QUART,
volume = "52",
number = "3",
pages = "247--??",
month = aug,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Sep 3 17:21:05 MDT 2014",
bibsource = "http://www.fq.math.ca/52-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/52-3/demontigny.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Euler:2014:EPSc,
author = "Russ Euler and Jawad Sadek",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "52",
number = "3",
pages = "274--??",
month = aug,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Sep 3 17:21:05 MDT 2014",
bibsource = "http://www.fq.math.ca/52-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/ElemProbSolnAug14.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2014:APSc,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "52",
number = "3",
pages = "281--??",
month = aug,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Sep 3 17:21:05 MDT 2014",
bibsource = "http://www.fq.math.ca/52-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/AdvancedAug2014.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Laishram:2014:FNF,
author = "Shanta Laishram and Florian Luca",
title = "{Fibonacci} Numbers of the Form $ x a \pm x b \pm 1
$",
journal = j-FIB-QUART,
volume = "52",
number = "4",
pages = "290--??",
month = nov,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jan 7 17:36:57 MST 2015",
bibsource = "http://www.fq.math.ca/52-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/52-4/laishram.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bravo:2014:CGL,
author = "Eric F. Bravo and Jhon J. Bravo and Florian Luca",
title = "Coincidences in Generalized {Lucas} Sequences",
journal = j-FIB-QUART,
volume = "52",
number = "4",
pages = "296--??",
month = nov,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jan 7 17:36:57 MST 2015",
bibsource = "http://www.fq.math.ca/52-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/52-4/bravo.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hare:2014:TSG,
author = "Kevin Hare and Helmut Prodinger and Jeffrey Shallit",
title = "Three Series for the Generalized Golden Mean",
journal = j-FIB-QUART,
volume = "52",
number = "4",
pages = "307--??",
month = nov,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jan 7 17:36:57 MST 2015",
bibsource = "http://www.fq.math.ca/52-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/52-4/hare.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Dobson:2014:ACF,
author = "John Blythe Dobson",
title = "On the {Andrews} Congruence for the {Fibonacci}
Quotient",
journal = j-FIB-QUART,
volume = "52",
number = "4",
pages = "314--??",
month = nov,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jan 7 17:36:57 MST 2015",
bibsource = "http://www.fq.math.ca/52-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/52-4/dobson.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cringanu:2014:AEC,
author = "Jenica Cr{\^\i}nganu",
title = "On Approximating {Euler}'s Constant",
journal = j-FIB-QUART,
volume = "52",
number = "4",
pages = "318--??",
month = nov,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jan 7 17:36:57 MST 2015",
bibsource = "http://www.fq.math.ca/52-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/52-4/cringanu.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hirschhorn:2014:SW,
author = "Michael D. Hirschhorn",
title = "{Stirling} Without {Wallis}",
journal = j-FIB-QUART,
volume = "52",
number = "4",
pages = "321--??",
month = nov,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jan 7 17:36:57 MST 2015",
bibsource = "http://www.fq.math.ca/52-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/52-4/hirschhorn.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kisielewicz:2014:SBI,
author = "Andrzej P. Kisielewicz",
title = "Some Binomial Identities Arising From a Partition of
an $n$-Dimensional Cube",
journal = j-FIB-QUART,
volume = "52",
number = "4",
pages = "325--??",
month = nov,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jan 7 17:36:57 MST 2015",
bibsource = "http://www.fq.math.ca/52-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/52-4/kisielewicz.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Griffiths:2014:FTZ,
author = "Martin Griffiths",
title = "Fixed-Term {Zeckendorf} Representations",
journal = j-FIB-QUART,
volume = "52",
number = "4",
pages = "331--??",
month = nov,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jan 7 17:36:57 MST 2015",
bibsource = "http://www.fq.math.ca/52-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/52-4/griffiths.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cook:2014:SPN,
author = "Charles K. Cook and Michael R. Bacon",
title = "Some Polygonal Number Summation Formulas",
journal = j-FIB-QUART,
volume = "52",
number = "4",
pages = "336--??",
month = nov,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jan 7 17:36:57 MST 2015",
bibsource = "http://www.fq.math.ca/52-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/52-4/cook.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Chern:2014:FNC,
author = "Shane Chern and Alvin Cui",
title = "{Fibonacci} Numbers Close to a Power of 2",
journal = j-FIB-QUART,
volume = "52",
number = "4",
pages = "344--??",
month = nov,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jan 7 17:36:57 MST 2015",
bibsource = "http://www.fq.math.ca/52-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/52-4/chern.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Larcombe:2014:CGC,
author = "Peter J. Larcombe and Eric J. Fennessey",
title = "Conditions Governing Cross-Family Member Equality in a
Particular Class of Polynomial Families",
journal = j-FIB-QUART,
volume = "52",
number = "4",
pages = "349--??",
month = nov,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jan 7 17:36:57 MST 2015",
bibsource = "http://www.fq.math.ca/52-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/52-4/larcombe.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Adegoke:2014:NBB,
author = "Kunle Adegoke",
title = "A New Binary {BBP}-Type Formula for $ \sqrt{5} \log
\phi $",
journal = j-FIB-QUART,
volume = "52",
number = "4",
pages = "357--359",
month = nov,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
MRclass = "11Y60",
MRnumber = "3276062",
bibdate = "Thu Aug 11 11:22:39 2016",
bibsource = "http://www.fq.math.ca/52-4.html;
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/52-4/adegoke.pdf;
http://www.fq.math.ca/Papers/52-4/adegoke4282014.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Grubb:2014:FCP,
author = "D. J. Grubb",
title = "Factoring {Chebyshev} Polynomials",
journal = j-FIB-QUART,
volume = "52",
number = "4",
pages = "360--??",
month = nov,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jan 7 17:36:57 MST 2015",
bibsource = "http://www.fq.math.ca/52-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/52-4/grubb.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Euler:2014:EPS,
author = "Russ Euler and Jawad Sadek",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "52",
number = "4",
pages = "367--??",
month = nov,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jan 7 17:36:57 MST 2015",
bibsource = "http://www.fq.math.ca/52-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/ElemProbSolnNov14.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2014:APS,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "52",
number = "4",
pages = "374--??",
month = nov,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jan 7 17:36:57 MST 2015",
bibsource = "http://www.fq.math.ca/52-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/Adv2014Nov.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2014:VI,
author = "Anonymous",
title = "Volume Index",
journal = j-FIB-QUART,
volume = "52",
number = "4",
pages = "381--??",
month = nov,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jan 7 17:36:57 MST 2015",
bibsource = "http://www.fq.math.ca/52-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Volume_Index/VolumeIndex2014.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2014:CP,
author = "Anonymous",
title = "Cover page",
journal = j-FIB-QUART,
volume = "52",
number = "5",
pages = "i--??",
month = dec,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:44 MST 2019",
bibsource = "http://www.fq.math.ca/52-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/52-5/introduction.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2014:I,
author = "Anonymous",
title = "Introduction",
journal = j-FIB-QUART,
volume = "52",
number = "5",
pages = "iii--??",
month = dec,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:44 MST 2019",
bibsource = "http://www.fq.math.ca/52-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/52-5/foreword.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2014:F,
author = "Anonymous",
title = "Foreword",
journal = j-FIB-QUART,
volume = "52",
number = "5",
pages = "v--??",
month = dec,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:44 MST 2019",
bibsource = "http://www.fq.math.ca/52-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/52-5/contents.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bicknell-Johnson:2014:FAH,
author = "Marjorie Bicknell-Johnson",
title = "The {Fibonacci Association}: Historical Snapshots",
journal = j-FIB-QUART,
volume = "52",
number = "5",
pages = "1--??",
month = dec,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:44 MST 2019",
bibsource = "http://www.fq.math.ca/52-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/52-5/Johnson.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kimberling:2014:PP,
author = "Clark Kimberling and Problem Editor",
title = "Problem Proposals",
journal = j-FIB-QUART,
volume = "52",
number = "5",
pages = "5--??",
month = dec,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:44 MST 2019",
bibsource = "http://www.fq.math.ca/52-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/52-5/Problems.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anderson:2014:MPZ,
author = "Peter G. Anderson",
title = "More Properties of the {Zeckendorf} Array",
journal = j-FIB-QUART,
volume = "52",
number = "5",
pages = "15--??",
month = dec,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:44 MST 2019",
bibsource = "http://www.fq.math.ca/52-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/52-5/Anderson.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Atanassov:2014:PFR,
author = "Krassimir T. Atanassov and Daryl R. DeFord and Anthony
G. Shannon",
title = "Pulsated {Fibonacci} Recurrences",
journal = j-FIB-QUART,
volume = "52",
number = "5",
pages = "22--??",
month = dec,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:44 MST 2019",
bibsource = "http://www.fq.math.ca/52-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/52-5/Atanassov.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Benjamin:2014:CPF,
author = "Arthur T. Benjamin and Elizabeth Reiland",
title = "Combinatorial Proofs of {Fibonomial} Identities",
journal = j-FIB-QUART,
volume = "52",
number = "5",
pages = "28--??",
month = dec,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:44 MST 2019",
bibsource = "http://www.fq.math.ca/52-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/52-5/Benjamin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Best:2014:BBZ,
author = "Andrew Best and Patrick Dynes and Xixi Edelsbrunner
and Brian McDonald and Steven J. Miller and Kimsy Tor
and Caroline Turnage-Butterbaugh and Madeleine
Weinstein",
title = "{Benford} Behavior of {Zeckendorf} Decompositions",
journal = j-FIB-QUART,
volume = "52",
number = "5",
pages = "35--??",
month = dec,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:44 MST 2019",
bibsource = "http://www.fq.math.ca/52-5.html;
https://www.math.utah.edu/pub/tex/bib/benfords-law.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/52-5/Best-Benford.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Best:2014:GBN,
author = "Andrew Best and Patrick Dynes and Xixi Edelsbrunner
and Brian McDonald and Steven J. Miller and Kimsy Tor
and Caroline Turnage-Butterbaugh and Madeleine
Weinstein",
title = "{Gaussian} Behavior of the Number of Summands in
{Zeckendorf} Decompositions in Small Intervals",
journal = j-FIB-QUART,
volume = "52",
number = "5",
pages = "47--??",
month = dec,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:44 MST 2019",
bibsource = "http://www.fq.math.ca/52-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/52-5/Best-Gaussian.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Birmajer:2014:CTF,
author = "Daniel Birmajer and Juan B. Gil and Michael D.
Weiner",
title = "Convolutions of {Tribonacci}, {Fuss--Catalan}, and
{Motzkin} Sequences",
journal = j-FIB-QUART,
volume = "52",
number = "5",
pages = "54--??",
month = dec,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:44 MST 2019",
bibsource = "http://www.fq.math.ca/52-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/52-5/Birmajer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bode:2014:STG,
author = "Jens-P. Bode and Heiko Harborth",
title = "{Steinhaus} Triangles with Generalized {Pascal}
Addition",
journal = j-FIB-QUART,
volume = "52",
number = "5",
pages = "61--??",
month = dec,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:44 MST 2019",
bibsource = "http://www.fq.math.ca/52-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/52-5/Bode.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Catral:2014:GZT,
author = "Minerva Catral and Pari Ford and Pamela Harris and
Steven J. Miller and Dawn Nelson",
title = "Generalizing {Zeckendorf}'s Theorem: The {Kentucky}
Sequence",
journal = j-FIB-QUART,
volume = "52",
number = "5",
pages = "68--??",
month = dec,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:44 MST 2019",
bibsource = "http://www.fq.math.ca/52-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/52-5/Catral.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cooper:2014:ASS,
author = "Curtis Cooper",
title = "Algebraic Statements Similar to Those in {Ramanujan}'s
``{{\booktitle{Lost Notebook}}}''",
journal = j-FIB-QUART,
volume = "52",
number = "5",
pages = "91--??",
month = dec,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:44 MST 2019",
bibsource = "http://www.fq.math.ca/52-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/52-5/Cooper.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{DeFord:2014:EDC,
author = "Daryl DeFord",
title = "Enumerating Distinct Chessboard Tilings",
journal = j-FIB-QUART,
volume = "52",
number = "5",
pages = "102--??",
month = dec,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:44 MST 2019",
bibsource = "http://www.fq.math.ca/52-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/52-5/DeFord.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Firengiz:2014:SM,
author = "M. Cetin Firengiz and Naim Tuglu",
title = "On the $q$-{Seidel} Matrix",
journal = j-FIB-QUART,
volume = "52",
number = "5",
pages = "117--??",
month = dec,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:44 MST 2019",
bibsource = "http://www.fq.math.ca/52-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/52-5/Firengiz.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hendel:2014:CHC,
author = "Russell Jay Hendel",
title = "A {Cayley--Hamilton} and Circulant Approach to Jump
Sums",
journal = j-FIB-QUART,
volume = "52",
number = "5",
pages = "124--??",
month = dec,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:44 MST 2019",
bibsource = "http://www.fq.math.ca/52-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/52-5/Hendel.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kimberling:2014:IFT,
author = "Clark Kimberling and Peter J. C. Moses",
title = "The Infinite {Fibonacci} Tree and Other Trees
Generated by Rules",
journal = j-FIB-QUART,
volume = "52",
number = "5",
pages = "136--??",
month = dec,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:44 MST 2019",
bibsource = "http://www.fq.math.ca/52-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/52-5/Kimberling.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Komatsu:2014:HOI,
author = "Takao Komatsu and Zuzana Mas{\'a}kov{\'a} and Edita
Pelantov{\'a}",
title = "Higher-Order Identities for {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "52",
number = "5",
pages = "150--??",
month = dec,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:44 MST 2019",
bibsource = "http://www.fq.math.ca/52-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/52-5/Komatsu.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2014:FNW,
author = "Florian Luca and Pantelimon St{\u{a}}nic{\u{a}}",
title = "On {Fibonacci} Numbers which are Elliptic {Korselt}
Numbers",
journal = j-FIB-QUART,
volume = "52",
number = "5",
pages = "164--??",
month = dec,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:44 MST 2019",
bibsource = "http://www.fq.math.ca/52-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/52-5/Luca.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Northshield:2014:TAS,
author = "Sam Northshield",
title = "Three Analogues of {Stern}'s Diatomic Sequence",
journal = j-FIB-QUART,
volume = "52",
number = "5",
pages = "168--??",
month = dec,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:44 MST 2019",
bibsource = "http://www.fq.math.ca/52-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/52-5/Northshield.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Panda:2014:BLS,
author = "G. K. Panda and A. K. Panda",
title = "Balancing-like Sequences Associated with Integral
Standard Deviations of Consecutive Natural Numbers",
journal = j-FIB-QUART,
volume = "52",
number = "5",
pages = "187--??",
month = dec,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:44 MST 2019",
bibsource = "http://www.fq.math.ca/52-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/52-5/Panda.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Stnic:2014:NCF,
author = "Pantelimon St{\u{a}}nic{\u{a}}",
title = "Normic Continued Fractions in Totally and Tamely
Ramified Extensions of Local Fields",
journal = j-FIB-QUART,
volume = "52",
number = "5",
pages = "193--??",
month = dec,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:44 MST 2019",
bibsource = "http://www.fq.math.ca/52-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/52-5/Stanica.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Webb:2014:CR,
author = "William Webb and Nathan Hamlin",
title = "Compositions and Recurrences",
journal = j-FIB-QUART,
volume = "52",
number = "5",
pages = "201--??",
month = dec,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:44 MST 2019",
bibsource = "http://www.fq.math.ca/52-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/52-5/Webb.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Young:2014:SSN,
author = "Paul Thomas Young",
title = "Symmetries of {Stirling} Number Series",
journal = j-FIB-QUART,
volume = "52",
number = "5",
pages = "205--??",
month = dec,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:44 MST 2019",
bibsource = "http://www.fq.math.ca/52-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/52-5/Young.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Zhang:2014:DTE,
author = "Yifan Zhang and George Grossman",
title = "{Diophantine} Triples and the Extendibility of $ \{ 1,
2, 5 \} $, $ \{ 1, 5, 10 \} $",
journal = j-FIB-QUART,
volume = "52",
number = "5",
pages = "212--??",
month = dec,
year = "2014",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:44 MST 2019",
bibsource = "http://www.fq.math.ca/52-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/52-5/Zhang.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Somer:2015:PLS,
author = "Lawrence Somer and Michal K{\v{r}}{\'\i}{\v{z}}ek",
title = "On Primes in {Lucas} Sequences",
journal = j-FIB-QUART,
volume = "53",
number = "1",
pages = "2--??",
month = feb,
year = "2015",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Mar 13 13:01:46 MDT 2015",
bibsource = "http://www.fq.math.ca/53-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/53-1/somer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hamlin:2015:KLC,
author = "Nathan Hamlin and Bala Krishnamoorthy and William
Webb",
title = "A Knapsack-Like Code Using Recurrence Sequence
Representations",
journal = j-FIB-QUART,
volume = "53",
number = "1",
pages = "24--??",
month = feb,
year = "2015",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Mar 13 13:01:46 MDT 2015",
bibsource = "http://www.fq.math.ca/53-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/53-1/hamlin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Flanagan:2015:SFP,
author = "Patrick Flanagan and Marc S. Renault and Josh Updike",
title = "Symmetries of {Fibonacci} Points, Mod $m$",
journal = j-FIB-QUART,
volume = "53",
number = "1",
pages = "34--??",
month = feb,
year = "2015",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Mar 13 13:01:46 MDT 2015",
bibsource = "http://www.fq.math.ca/53-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/53-1/flanagan.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hirschhorn:2015:CBP,
author = "Michael D. Hirschhorn",
title = "A Connection Between $ \pi $ and {$ \Phi $}",
journal = j-FIB-QUART,
volume = "53",
number = "1",
pages = "42--??",
month = feb,
year = "2015",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Mar 13 13:01:46 MDT 2015",
bibsource = "http://www.fq.math.ca/53-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/53-1/hirschhorn1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hirschhorn:2015:RLP,
author = "Michael D. Hirschhorn",
title = "{Ramanujan}'s Last Problem",
journal = j-FIB-QUART,
volume = "53",
number = "1",
pages = "48--??",
month = feb,
year = "2015",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Mar 13 13:01:46 MDT 2015",
bibsource = "http://www.fq.math.ca/53-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers/53-1/HirschhornRamanujans06022014.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Nyul:2015:EVW,
author = "G{\'a}bor Nyul and Bettina Rauf",
title = "On the Existence of {van der Waerden} Type Numbers For
Linear Recurrence Sequences with Constant
Coefficients",
journal = j-FIB-QUART,
volume = "53",
number = "1",
pages = "53--??",
month = feb,
year = "2015",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Mar 13 13:01:46 MDT 2015",
bibsource = "http://www.fq.math.ca/53-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/53-1/nyul.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Griffiths:2015:PFS,
author = "Martin Griffiths and William Wynn-Thomas",
title = "A Property of a {Fibonacci} Staircase",
journal = j-FIB-QUART,
volume = "53",
number = "1",
pages = "61--??",
month = feb,
year = "2015",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Mar 13 13:01:46 MDT 2015",
bibsource = "http://www.fq.math.ca/53-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/53-1/griffiths.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gordon:2015:CPT,
author = "Russell A. Gordon and Sara L. Graham",
title = "Comments on Proofs That There are No Four Squares in
Arithmetic Progression",
journal = j-FIB-QUART,
volume = "53",
number = "1",
pages = "68--??",
month = feb,
year = "2015",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Mar 13 13:01:46 MDT 2015",
bibsource = "http://www.fq.math.ca/53-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/53-1/gordon.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Prodinger:2015:TFS,
author = "Helmut Prodinger",
title = "Two Families of Series for the Generalized Golden
Ratio",
journal = j-FIB-QUART,
volume = "53",
number = "1",
pages = "74--??",
month = feb,
year = "2015",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Mar 13 13:01:46 MDT 2015",
bibsource = "http://www.fq.math.ca/53-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/53-1/prodinger.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ellia:2015:RNT,
author = "Philippe Ellia and Paolo Menegatti",
title = "{Ramanujan--Nagell} Type Equations and Perfect
Numbers",
journal = j-FIB-QUART,
volume = "53",
number = "1",
pages = "78--??",
month = feb,
year = "2015",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Mar 13 13:01:46 MDT 2015",
bibsource = "http://www.fq.math.ca/53-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/53-1/ellia.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Euler:2015:EPSa,
author = "Russ Euler and Jawad Sadek",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "53",
number = "1",
pages = "81--??",
month = feb,
year = "2015",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Mar 13 13:01:46 MDT 2015",
bibsource = "http://www.fq.math.ca/53-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/ElemProbFeb2015.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2015:APSa,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "53",
number = "1",
pages = "88--??",
month = feb,
year = "2015",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Mar 13 13:01:46 MDT 2015",
bibsource = "http://www.fq.math.ca/53-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/AdvFeb2015.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2015:JRP,
author = "Anonymous",
title = "The {John Riordan Prize}",
journal = j-FIB-QUART,
volume = "53",
number = "1",
pages = "96--??",
month = feb,
year = "2015",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Mar 13 13:01:46 MDT 2015",
bibsource = "http://www.fq.math.ca/53-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Announcements/Riordan6.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Al-Shaghay:2015:CPS,
author = "Abdullah Al-Shaghay and Karl Dilcher",
title = "Congruences for Partial Sums of Reciprocals",
journal = j-FIB-QUART,
volume = "53",
number = "2",
pages = "98--??",
month = may,
year = "2015",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Oct 7 06:58:50 MDT 2015",
bibsource = "http://www.fq.math.ca/53-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/53-2/alshaghay.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hendel:2015:QPH,
author = "Russell Jay Hendel",
title = "Quasi-Periods for the {Hofstadter} {$Q$} Function",
journal = j-FIB-QUART,
volume = "53",
number = "2",
pages = "112--??",
month = may,
year = "2015",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Oct 7 06:58:50 MDT 2015",
bibsource = "http://www.fq.math.ca/53-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/53-2/hendel.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Filipin:2015:EDP,
author = "Alan Filipin",
title = "The Extendibility of {$ D(4) $}-Pair {$ \{ F_{2k}, 5
F_{2k} \} $}",
journal = j-FIB-QUART,
volume = "53",
number = "2",
pages = "124--??",
month = may,
year = "2015",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Oct 7 06:58:50 MDT 2015",
bibsource = "http://www.fq.math.ca/53-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/53-2/filipin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Berg:2015:GSR,
author = "Kimmo Berg and J{\'a}nos Flesch and Frank Thuijsman",
title = "Golden and Silver Ratios in Bargaining",
journal = j-FIB-QUART,
volume = "53",
number = "2",
pages = "130--??",
month = may,
year = "2015",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Oct 7 06:58:50 MDT 2015",
bibsource = "http://www.fq.math.ca/53-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/53-2/berg.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Koshy:2015:GTM,
author = "Thomas Koshy",
title = "Graph-Theoretic Models for the Univariate {Fibonacci}
Family",
journal = j-FIB-QUART,
volume = "53",
number = "2",
pages = "135--??",
month = may,
year = "2015",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Oct 7 06:58:50 MDT 2015",
bibsource = "http://www.fq.math.ca/53-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/53-2/koshy.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Griffiths:2015:JNT,
author = "Martin Griffiths and Alex Bramham",
title = "The {Jacobsthal} Numbers: Two Results and Two
Questions",
journal = j-FIB-QUART,
volume = "53",
number = "2",
pages = "147--??",
month = may,
year = "2015",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Oct 7 06:58:50 MDT 2015",
bibsource = "http://www.fq.math.ca/53-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/53-2/griffiths.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Legendre:2015:LFT,
author = "St{\'e}phane Legendre",
title = "Labeled {Fibonacci} Trees",
journal = j-FIB-QUART,
volume = "53",
number = "2",
pages = "152--??",
month = may,
year = "2015",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Oct 7 06:58:50 MDT 2015",
bibsource = "http://www.fq.math.ca/53-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/53-2/legendre.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kaneda:2015:TRC,
author = "Masayoshi Kaneda",
title = "Two Remarks on the {Collatz} Cycle Conjecture",
journal = j-FIB-QUART,
volume = "53",
number = "2",
pages = "168--??",
month = may,
year = "2015",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Oct 7 06:58:50 MDT 2015",
bibsource = "http://www.fq.math.ca/53-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/53-2/kaneda.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Larcombe:2015:CAD,
author = "Peter J. Larcombe and Eric J. Fennessey",
title = "A Condition for Anti-Diagonals Product Invariance
Across Powers of $ 2 \times 2 $ Matrix Sets
Characterizing a Particular Class of Polynomial
Families",
journal = j-FIB-QUART,
volume = "53",
number = "2",
pages = "175--??",
month = may,
year = "2015",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Oct 7 06:58:50 MDT 2015",
bibsource = "http://www.fq.math.ca/53-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/53-2/larcombe.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Euler:2015:EPSb,
author = "Russ Euler and Jawad Sadek",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "53",
number = "2",
pages = "180--??",
month = may,
year = "2015",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Oct 7 06:58:50 MDT 2015",
bibsource = "http://www.fq.math.ca/53-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/ElemProbSolnMay15.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2015:APSb,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "53",
number = "2",
pages = "186--??",
month = may,
year = "2015",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Oct 7 06:58:50 MDT 2015",
bibsource = "http://www.fq.math.ca/53-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/May2015advanced.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Sloane:2015:JRP,
author = "Neil J. A. Sloane",
title = "The {John Riordan Prize}",
journal = j-FIB-QUART,
volume = "53",
number = "2",
pages = "192--??",
month = may,
year = "2015",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Oct 7 06:58:50 MDT 2015",
bibsource = "http://www.fq.math.ca/53-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Announcements/Riordan6.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ballot:2015:DFL,
author = "Christian Ballot",
title = "Divisibility of {Fibonomials} and {Lucasnomials} via A
General {Kummer} Rule",
journal = j-FIB-QUART,
volume = "53",
number = "3",
pages = "194--??",
month = aug,
year = "2015",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Oct 7 06:58:52 MDT 2015",
bibsource = "http://www.fq.math.ca/53-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/53-3/ballot.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Somer:2015:LS,
author = "Lawrence Somer and Michal Kr{\'\i}zek",
title = "On {Lehmer} Superpseudoprimes",
journal = j-FIB-QUART,
volume = "53",
number = "3",
pages = "206--??",
month = aug,
year = "2015",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Oct 7 06:58:52 MDT 2015",
bibsource = "http://www.fq.math.ca/53-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/53-3/somer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Martinsen:2015:ABG,
author = "Corey Martinsen and Pantelimon Stanica",
title = "Asymptotic Behavior of Gaps Between Roots of Weighted
Factorials",
journal = j-FIB-QUART,
volume = "53",
number = "3",
pages = "213--??",
month = aug,
year = "2015",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Oct 7 06:58:52 MDT 2015",
bibsource = "http://www.fq.math.ca/53-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/53-3/martinsen.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Prodinger:2015:ILF,
author = "Helmut Prodinger and Stephan Wagner",
title = "On Identities by {Larcombe--Fennessey} and {Cassini}",
journal = j-FIB-QUART,
volume = "53",
number = "3",
pages = "219--??",
month = aug,
year = "2015",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Oct 7 06:58:52 MDT 2015",
bibsource = "http://www.fq.math.ca/53-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/53-3/prodinger.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hajdu:2015:CFS,
author = "L. Hajdu and M. Szikszai",
title = "Common Factors in Series of Consecutive Terms of
Associated {Lucas} and {Lehmer} Sequences",
journal = j-FIB-QUART,
volume = "53",
number = "3",
pages = "221--??",
month = aug,
year = "2015",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Oct 7 06:58:52 MDT 2015",
bibsource = "http://www.fq.math.ca/53-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/53-3/hajdu.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Griffiths:2015:ZRB,
author = "Martin Griffiths",
title = "The {Zeckendorf} Representation of a {Beatty}-Related
{Fibonacci} Sum",
journal = j-FIB-QUART,
volume = "53",
number = "3",
pages = "230--??",
month = aug,
year = "2015",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Oct 7 06:58:52 MDT 2015",
bibsource = "http://www.fq.math.ca/53-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/53-3/griffiths.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Alexander:2015:GTE,
author = "James Alexander and Paul Hearding",
title = "A Graph-Theoretic Encoding of {Lucas} Sequences",
journal = j-FIB-QUART,
volume = "53",
number = "3",
pages = "237--??",
month = aug,
year = "2015",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Oct 7 06:58:52 MDT 2015",
bibsource = "http://www.fq.math.ca/53-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/53-3/alexander.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Koshy:2015:DGP,
author = "Thomas Koshy",
title = "Differences of {Gibonacci} Products with the Same
Order",
journal = j-FIB-QUART,
volume = "53",
number = "3",
pages = "241--??",
month = aug,
year = "2015",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Oct 7 06:58:52 MDT 2015",
bibsource = "http://www.fq.math.ca/53-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/53-3/koshy.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hendel:2015:CCR,
author = "Russell Jay Hendel",
title = "Coefficient Convergence of Recursively Defined
Polynomials",
journal = j-FIB-QUART,
volume = "53",
number = "3",
pages = "247--??",
month = aug,
year = "2015",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Oct 7 06:58:52 MDT 2015",
bibsource = "http://www.fq.math.ca/53-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/53-3/hendel.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Larcombe:2015:CFE,
author = "Peter J. Larcombe",
title = "Closed Form Evaluations of Some Series Comprising Sums
of Exponentiated Multiples of Two-Term and Three-Term
{Catalan} Number Linear Combinations",
journal = j-FIB-QUART,
volume = "53",
number = "3",
pages = "253--??",
month = aug,
year = "2015",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Oct 7 06:58:52 MDT 2015",
bibsource = "http://www.fq.math.ca/53-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/53-3/larcombe.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Panda:2015:PBN,
author = "G. K. Panda and Ravi Kumar Davala",
title = "Perfect Balancing Numbers",
journal = j-FIB-QUART,
volume = "53",
number = "3",
pages = "261--??",
month = aug,
year = "2015",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Oct 7 06:58:52 MDT 2015",
bibsource = "http://www.fq.math.ca/53-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/53-3/panda.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Medina:2015:PRP,
author = "Luis A. Medina and Eric Rowland",
title = "$p$-Regularity of the $p$-Adic Valuation of the
{Fibonacci} Sequence",
journal = j-FIB-QUART,
volume = "53",
number = "3",
pages = "265--??",
month = aug,
year = "2015",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Oct 7 06:58:52 MDT 2015",
bibsource = "http://www.fq.math.ca/53-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/53-3/medina.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Euler:2015:EPSc,
author = "Russ Euler and Jawad Sadek",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "53",
number = "3",
pages = "272--??",
month = aug,
year = "2015",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Oct 7 06:58:52 MDT 2015",
bibsource = "http://www.fq.math.ca/53-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/ElemProbSolnAugust2015.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2015:APSc,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "53",
number = "3",
pages = "279--??",
month = aug,
year = "2015",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Oct 7 06:58:52 MDT 2015",
bibsource = "http://www.fq.math.ca/53-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/AugustAdv2015.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Somer:2015:IDS,
author = "Lawrence Somer and Michal Kr{\'\i}zek",
title = "Identically Distributed Second-Order Linear
Recurrences Modulo $p$",
journal = j-FIB-QUART,
volume = "53",
number = "4",
pages = "290--??",
month = nov,
year = "2015",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Feb 10 16:34:04 MST 2016",
bibsource = "http://www.fq.math.ca/53-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/53-4/somer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Glasser:2015:IRF,
author = "M. Lawrence Glasser and Yajun Zhou",
title = "An Integral Representation for the {Fibonacci} Numbers
and Their Generalization",
journal = j-FIB-QUART,
volume = "53",
number = "4",
pages = "313--??",
month = nov,
year = "2015",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Feb 10 16:34:04 MST 2016",
bibsource = "http://www.fq.math.ca/53-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/53-4/glasser.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hirschhorn:2015:BIC,
author = "Michael D. Hirschhorn",
title = "Binomial Identities and Congruences for {Euler}
Numbers",
journal = j-FIB-QUART,
volume = "53",
number = "4",
pages = "319--??",
month = nov,
year = "2015",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Feb 10 16:34:04 MST 2016",
bibsource = "http://www.fq.math.ca/53-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/53-4/hirschhorn.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Melham:2015:CFF,
author = "R. S. Melham",
title = "On Certain Families of Finite Reciprocal Sums that
Involve Generalized {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "53",
number = "4",
pages = "323--??",
month = nov,
year = "2015",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Feb 10 16:34:04 MST 2016",
bibsource = "http://www.fq.math.ca/53-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/53-4/melham.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Euler:2015:EPE,
author = "Russell Euler and Jawad Sadek",
title = "An Extension of the Periodicity of an Extended
{Fibonacci} Family",
journal = j-FIB-QUART,
volume = "53",
number = "4",
pages = "335--??",
month = nov,
year = "2015",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Feb 10 16:34:04 MST 2016",
bibsource = "http://www.fq.math.ca/53-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/53-4/euler.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Koshy:2015:GCI,
author = "Thomas Koshy",
title = "{Gibonomial} Coefficients with Interesting
Byproducts",
journal = j-FIB-QUART,
volume = "53",
number = "4",
pages = "340--??",
month = nov,
year = "2015",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Feb 10 16:34:04 MST 2016",
bibsource = "http://www.fq.math.ca/53-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/53-4/koshy.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Moll:2015:GBN,
author = "Victor H. Moll and Christophe Vignat",
title = "Generalized {Bernoulli} Numbers and a Formula of
{Lucas}",
journal = j-FIB-QUART,
volume = "53",
number = "4",
pages = "349--??",
month = nov,
year = "2015",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Feb 10 16:34:04 MST 2016",
bibsource = "http://www.fq.math.ca/53-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/53-4/moll.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Larcombe:2015:NIG,
author = "Peter J. Larcombe",
title = "A Note on the Invariance of the General $ 2 \times 2 $
Matrix Anti-Diagonals Ratio with Increasing Matrix
Power: Four Proofs",
journal = j-FIB-QUART,
volume = "53",
number = "4",
pages = "360--??",
month = nov,
year = "2015",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Feb 10 16:34:04 MST 2016",
bibsource = "http://www.fq.math.ca/53-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/53-4/larcombe.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Euler:2015:EPSd,
author = "Russ Euler and Jawad Sadek",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "53",
number = "4",
pages = "365--??",
month = nov,
year = "2015",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Feb 10 16:34:04 MST 2016",
bibsource = "http://www.fq.math.ca/53-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/ElemProbSolnNov2015.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2015:APSd,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "53",
number = "4",
pages = "372--??",
month = nov,
year = "2015",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Feb 10 16:34:04 MST 2016",
bibsource = "http://www.fq.math.ca/53-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/November2015advanced.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2015:VI,
author = "Anonymous",
title = "Volume Index",
journal = j-FIB-QUART,
volume = "53",
number = "4",
pages = "378--??",
month = nov,
year = "2015",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Feb 10 16:34:04 MST 2016",
bibsource = "http://www.fq.math.ca/53-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Volume_Index/VolumeIndex2015.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kimberling:2016:STP,
author = "Clark Kimberling and L{\'a}szl{\'o} Szalay",
title = "$t$-sion of Two Polynomial Sequences and Factorization
Properties",
journal = j-FIB-QUART,
volume = "54",
number = "1",
pages = "3--??",
month = feb,
year = "2016",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Jun 9 06:58:59 MDT 2016",
bibsource = "http://www.fq.math.ca/54-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/54-1/kimberling.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ddamulira:2016:FNW,
author = "Mahadi Ddamulira and Florian Luca and Mihaja
Rakotomalala",
title = "{Fibonacci} Numbers Which are Products of Two {Pell}
Numbers",
journal = j-FIB-QUART,
volume = "54",
number = "1",
pages = "11--??",
month = feb,
year = "2016",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Jun 9 06:58:59 MDT 2016",
bibsource = "http://www.fq.math.ca/54-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/54-1/ddamulira.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Melham:2016:CFI,
author = "R. S. Melham",
title = "On a Classical {Fibonacci} Identity of {Aurifeuille}",
journal = j-FIB-QUART,
volume = "54",
number = "1",
pages = "19--??",
month = feb,
year = "2016",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Jun 9 06:58:59 MDT 2016",
bibsource = "http://www.fq.math.ca/54-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/54-1/melham1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Treeby:2016:HFF,
author = "David Treeby",
title = "Hidden Formulas in {Fibonacci} Tilings",
journal = j-FIB-QUART,
volume = "54",
number = "1",
pages = "23--??",
month = feb,
year = "2016",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Jun 9 06:58:59 MDT 2016",
bibsource = "http://www.fq.math.ca/54-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/54-1/treeby.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Melham:2016:MNA,
author = "R. S. Melham",
title = "More New Algebraic Identities and the {Fibonacci}
Summations Derived From Them",
journal = j-FIB-QUART,
volume = "54",
number = "1",
pages = "31--??",
month = feb,
year = "2016",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Jun 9 06:58:59 MDT 2016",
bibsource = "http://www.fq.math.ca/54-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/54-1/melham2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lopez-Aguayo:2016:STN,
author = "Daniel L{\'o}pez-Aguayo and Florian Luca",
title = "{Sylvester}'s Theorem and the Non-Integrality of a
Certain Binomial Sum",
journal = j-FIB-QUART,
volume = "54",
number = "1",
pages = "44--??",
month = feb,
year = "2016",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Jun 9 06:58:59 MDT 2016",
bibsource = "http://www.fq.math.ca/54-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/54-1/lopez-aguayo.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Melham:2016:GPE,
author = "R. S. Melham",
title = "On a Generalized {Pell} Equation Studied by {Euler}
and {Sadek}",
journal = j-FIB-QUART,
volume = "54",
number = "1",
pages = "49--??",
month = feb,
year = "2016",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Jun 9 06:58:59 MDT 2016",
bibsource = "http://www.fq.math.ca/54-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/54-1/melham3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Alm:2016:NPF,
author = "Jeremy F. Alm and Taylor Herald",
title = "A Note on Prime {Fibonacci} Sequences",
journal = j-FIB-QUART,
volume = "54",
number = "1",
pages = "55--??",
month = feb,
year = "2016",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Jun 9 06:58:59 MDT 2016",
bibsource = "http://www.fq.math.ca/54-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/54-1/alm.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Witno:2016:NRG,
author = "Amin Witno",
title = "{Niven} Repunits in General Bases",
journal = j-FIB-QUART,
volume = "54",
number = "1",
pages = "59--??",
month = feb,
year = "2016",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Jun 9 06:58:59 MDT 2016",
bibsource = "http://www.fq.math.ca/54-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/54-1/witno.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brilleslyper:2016:CGP,
author = "Michael A. Brilleslyper and Nathan Wakefield and A. J.
Wallerstein and Bradley Warner",
title = "Comparing the Growth of the Prime Numbers to the
Natural Numbers",
journal = j-FIB-QUART,
volume = "54",
number = "1",
pages = "65--??",
month = feb,
year = "2016",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Jun 9 06:58:59 MDT 2016",
bibsource = "http://www.fq.math.ca/54-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/54-1/brilleslyper.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Garth:2016:SSS,
author = "David Garth and Joseph Palmer",
title = "Self-Similar Sequences and Generalized {Wythoff}
Arrays",
journal = j-FIB-QUART,
volume = "54",
number = "1",
pages = "72--??",
month = feb,
year = "2016",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Jun 9 06:58:59 MDT 2016",
bibsource = "http://www.fq.math.ca/54-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/54-1/garth.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Edgar:2016:ESF,
author = "Tom Edgar",
title = "Extending Some {Fibonacci--Lucas} Relations",
journal = j-FIB-QUART,
volume = "54",
number = "1",
pages = "79--??",
month = feb,
year = "2016",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Jun 9 06:58:59 MDT 2016",
bibsource = "http://www.fq.math.ca/54-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/54-1/edgar.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Euler:2016:EPSa,
author = "Russ Euler and Jawad Sadek",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "54",
number = "1",
pages = "80--??",
month = feb,
year = "2016",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Jun 9 06:58:59 MDT 2016",
bibsource = "http://www.fq.math.ca/54-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/ElemProbSolnFeb2016.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2016:APSa,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "54",
number = "1",
pages = "87--??",
month = feb,
year = "2016",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Jun 9 06:58:59 MDT 2016",
bibsource = "http://www.fq.math.ca/54-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/FebAdvProbSoln2016.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2016:BRM,
author = "Anonymous",
title = "Book Review: {{\booktitle{The Magic of Math: Solving
for $x$ and Figuring out Why}}}",
journal = j-FIB-QUART,
volume = "54",
number = "1",
pages = "94--??",
month = feb,
year = "2016",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Jun 9 06:58:59 MDT 2016",
bibsource = "http://www.fq.math.ca/54-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Announcements/a-b-review.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ramirez:2016:PRG,
author = "Jos{\'e} L. Ram{\'\i}rez",
title = "The {Pascal} Rhombus and the Generalized Grand
{Motzkin} Paths",
journal = j-FIB-QUART,
volume = "54",
number = "2",
pages = "99--??",
month = may,
year = "2016",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jun 8 10:59:22 MDT 2016",
bibsource = "http://www.fq.math.ca/54-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/54-2/ramirez.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cook:2016:SIS,
author = "Charles K. Cook and Takao Komatsu",
title = "Some Identities for Sequences of Binomial Sums of
Generalized {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "54",
number = "2",
pages = "105--??",
month = may,
year = "2016",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jun 8 10:59:22 MDT 2016",
bibsource = "http://www.fq.math.ca/54-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/54-2/cook.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Melham:2016:TPP,
author = "R. S. Melham",
title = "A Two Parameter {Pell} {Diophantine} Equation That
Generalizes a {Fibonacci} Classic",
journal = j-FIB-QUART,
volume = "54",
number = "2",
pages = "112--??",
month = may,
year = "2016",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jun 8 10:59:22 MDT 2016",
bibsource = "http://www.fq.math.ca/54-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/54-2/melham1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Sanna:2016:AVL,
author = "Carlo Sanna",
title = "The $p$-Adic Valuation of {Lucas} Sequences",
journal = j-FIB-QUART,
volume = "54",
number = "2",
pages = "118--??",
month = may,
year = "2016",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jun 8 10:59:22 MDT 2016",
bibsource = "http://www.fq.math.ca/54-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/54-2/sanna.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Fahssi:2016:SII,
author = "Nour-Eddine Fahssi",
title = "Some Identities Involving Polynomial Coefficients",
journal = j-FIB-QUART,
volume = "54",
number = "2",
pages = "125--??",
month = may,
year = "2016",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jun 8 10:59:22 MDT 2016",
bibsource = "http://www.fq.math.ca/54-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/54-2/fahssi.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Prodinger:2016:DCR,
author = "Helmut Prodinger",
title = "Determinants Containing Rising Powers of {Fibonacci}
Numbers",
journal = j-FIB-QUART,
volume = "54",
number = "2",
pages = "137--??",
month = may,
year = "2016",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jun 8 10:59:22 MDT 2016",
bibsource = "http://www.fq.math.ca/54-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/54-2/prodinger.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Koshy:2016:VPT,
author = "Thomas Koshy",
title = "{Vieta} Polynomials and Their Close Relatives",
journal = j-FIB-QUART,
volume = "54",
number = "2",
pages = "141--??",
month = may,
year = "2016",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jun 8 10:59:22 MDT 2016",
bibsource = "http://www.fq.math.ca/54-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/54-2/koshy.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Dafnis:2016:ISW,
author = "Spiros D. Dafnis and Andreas N. Philippou",
title = "Infinite Sums of Weighted {Fibonacci} Numbers of Order
$k$",
journal = j-FIB-QUART,
volume = "54",
number = "2",
pages = "149--??",
month = may,
year = "2016",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jun 8 10:59:22 MDT 2016",
bibsource = "http://www.fq.math.ca/54-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/54-2/dafnis.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Melham:2016:TAI,
author = "R. S. Melham",
title = "Two Algebraic Identities and the Alternating
{Fibonacci} Sums Produced By Them",
journal = j-FIB-QUART,
volume = "54",
number = "2",
pages = "154--??",
month = may,
year = "2016",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jun 8 10:59:22 MDT 2016",
bibsource = "http://www.fq.math.ca/54-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/54-2/melham2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Euler:2016:DPD,
author = "Russell Euler and Jawad Sadek",
title = "A Direct Proof That {$ F_n $} Divides {$ F_{mn} $}
Extended to Divisibility Properties of Related
Numbers",
journal = j-FIB-QUART,
volume = "54",
number = "2",
pages = "160--??",
month = may,
year = "2016",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jun 8 10:59:22 MDT 2016",
bibsource = "http://www.fq.math.ca/54-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/54-2/euler.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bhatnagar:2016:AFL,
author = "Gaurav Bhatnagar",
title = "Analogues of a {Fibonacci--Lucas} Identity",
journal = j-FIB-QUART,
volume = "54",
number = "2",
pages = "166--??",
month = may,
year = "2016",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jun 8 10:59:22 MDT 2016",
bibsource = "http://www.fq.math.ca/54-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/54-2/bhatnagar.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Perrine:2016:SPE,
author = "Serge Perrine",
title = "Some Properties of the Equation $ x^2 = 5 y^2 - 4 $",
journal = j-FIB-QUART,
volume = "54",
number = "2",
pages = "172--??",
month = may,
year = "2016",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jun 8 10:59:22 MDT 2016",
bibsource = "http://www.fq.math.ca/54-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/54-2/perrine.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Euler:2016:EPSb,
author = "Russ Euler and Jawad Sadek",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "54",
number = "2",
pages = "178--??",
month = may,
year = "2016",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jun 8 10:59:22 MDT 2016",
bibsource = "http://www.fq.math.ca/54-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/ElemProbSolnMay16No53.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2016:APSb,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "54",
number = "2",
pages = "185--??",
month = may,
year = "2016",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jun 8 10:59:22 MDT 2016",
bibsource = "http://www.fq.math.ca/54-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/AdvProbSlnMay2016.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cook:2016:CCR,
author = "Charles K. Cook",
title = "{Caen} and Cheese: A Report on the {Seventeenth
International Conference on Fibonacci Numbers and Their
Applications}",
journal = j-FIB-QUART,
volume = "54",
number = "3",
pages = "194--??",
month = aug,
year = "2016",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 12 07:43:19 MDT 2016",
bibsource = "http://www.fq.math.ca/54-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Announcements/ConferenceReport17.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Melham:2016:CFF,
author = "R. S. Melham",
title = "Closed Forms for Finite Sums in Which the Denominator
of the Summand is a Product of Trigonometric
Functions",
journal = j-FIB-QUART,
volume = "54",
number = "3",
pages = "196--??",
month = aug,
year = "2016",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 12 07:43:19 MDT 2016",
bibsource = "http://www.fq.math.ca/54-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/54-3/melham1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Graves:2016:UMD,
author = "Rachel K. Graves and Michael R. Bacon and Charles K.
Cook",
title = "Using Matrices to Derive Identities for Recursive
Sequences",
journal = j-FIB-QUART,
volume = "54",
number = "3",
pages = "204--??",
month = aug,
year = "2016",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 12 07:43:19 MDT 2016",
bibsource = "http://www.fq.math.ca/54-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/54-3/graves.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Somer:2016:IDS,
author = "Lawrence Somer and Michal K{\v{r}}{\'\i}{\v{z}}ek",
title = "Identically Distributed Second-Order Linear
Recurrences Modulo $p$, {II}",
journal = j-FIB-QUART,
volume = "54",
number = "3",
pages = "217--??",
month = aug,
year = "2016",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 12 07:43:19 MDT 2016",
bibsource = "http://www.fq.math.ca/54-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/54-3/somer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Liptai:2016:BPB,
author = "K. Liptai and G. K. Panda and L. Szalay",
title = "A Balancing Problem on a Binary Recurrence and its
Associate",
journal = j-FIB-QUART,
volume = "54",
number = "3",
pages = "235--??",
month = aug,
year = "2016",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 12 07:43:19 MDT 2016",
bibsource = "http://www.fq.math.ca/54-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/54-3/liptai.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Larcombe:2016:SBP,
author = "Peter J. Larcombe and Eric J. Fennessey",
title = "On a Scaled Balanced-Power Product Recurrence",
journal = j-FIB-QUART,
volume = "54",
number = "3",
pages = "242--??",
month = aug,
year = "2016",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 12 07:43:19 MDT 2016",
bibsource = "http://www.fq.math.ca/54-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/54-3/larcombe1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Melham:2016:PIP,
author = "R. S. Melham",
title = "On the Positive Integer Points of Certain Two
Parameter Families of Hyperbolas",
journal = j-FIB-QUART,
volume = "54",
number = "3",
pages = "247--??",
month = aug,
year = "2016",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 12 07:43:19 MDT 2016",
bibsource = "http://www.fq.math.ca/54-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/54-3/melham2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Edwards:2016:CIR,
author = "Steven Edwards and William Griffiths",
title = "A Combinatorial Identity Related to Cross Polytope
Numbers",
journal = j-FIB-QUART,
volume = "54",
number = "3",
pages = "253--??",
month = aug,
year = "2016",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 12 07:43:19 MDT 2016",
bibsource = "http://www.fq.math.ca/54-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/54-3/edwards.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Larcombe:2016:ESE,
author = "Peter J. Larcombe",
title = "On the Evaluation of Sums of Exponentiated Multiples
of Generalized {Catalan} Number Linear Combinations
Using a Hypergeometric Approach",
journal = j-FIB-QUART,
volume = "54",
number = "3",
pages = "259--??",
month = aug,
year = "2016",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 12 07:43:19 MDT 2016",
bibsource = "http://www.fq.math.ca/54-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/54-3/larcombe2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Euler:2016:EPSc,
author = "Russ Euler and Jawad Sadek",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "54",
number = "3",
pages = "271--??",
month = aug,
year = "2016",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 12 07:43:19 MDT 2016",
bibsource = "http://www.fq.math.ca/54-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/ElemProbSolnAug16No3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2016:APSc,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "54",
number = "3",
pages = "280--??",
month = aug,
year = "2016",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 12 07:43:19 MDT 2016",
bibsource = "http://www.fq.math.ca/54-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/August2016AdvProbSln.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2016:WPB,
author = "Anonymous",
title = "Winners of the {Paul Bruckman Prize}",
journal = j-FIB-QUART,
volume = "54",
number = "3",
pages = "287--??",
month = aug,
year = "2016",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 12 07:43:19 MDT 2016",
bibsource = "http://www.fq.math.ca/54-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Announcements/BruckmanWinners2016.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2016:PBPa,
author = "Anonymous",
title = "The {Paul Bruckman Prize}",
journal = j-FIB-QUART,
volume = "54",
number = "3",
pages = "288--??",
month = aug,
year = "2016",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 12 07:43:19 MDT 2016",
bibsource = "http://www.fq.math.ca/54-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Announcements/bruckmanprize16.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2016:TW,
author = "Anonymous",
title = "Thanks and Welcome",
journal = j-FIB-QUART,
volume = "54",
number = "4",
pages = "290--??",
month = nov,
year = "2016",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Dec 19 09:28:11 MST 2016",
bibsource = "http://www.fq.math.ca/54-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Announcements/ThanksWelcomeNov2016.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Dris:2016:NOP,
author = "Jose Arnaldo B. Dris and Florian Luca",
title = "A Note on Odd Perfect Numbers",
journal = j-FIB-QUART,
volume = "54",
number = "4",
pages = "291--??",
month = nov,
year = "2016",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Dec 19 09:28:11 MST 2016",
bibsource = "http://www.fq.math.ca/54-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/54-4/dris.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Melham:2016:NIS,
author = "R. S. Melham",
title = "New Identities Satisfied by Powers of {Fibonacci} and
{Lucas} Numbers",
journal = j-FIB-QUART,
volume = "54",
number = "4",
pages = "296--??",
month = nov,
year = "2016",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Dec 19 09:28:11 MST 2016",
bibsource = "http://www.fq.math.ca/54-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/54-4/melham.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Nordgren:2016:FCM,
author = "Ronald P. Nordgren",
title = "On {Franklin} and Complete Magic Square Matrices",
journal = j-FIB-QUART,
volume = "54",
number = "4",
pages = "304--??",
month = nov,
year = "2016",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Dec 19 09:28:11 MST 2016",
bibsource = "http://www.fq.math.ca/54-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/54-4/nordgren.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bai:2016:FLR,
author = "Zai-Qiao Bai and Steven R. Finch",
title = "{Fibonacci} and {Lucas} Representations",
journal = j-FIB-QUART,
volume = "54",
number = "4",
pages = "319--??",
month = nov,
year = "2016",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Dec 19 09:28:11 MST 2016",
bibsource = "http://www.fq.math.ca/54-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/54-4/bai.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Treeby:2016:FPD,
author = "David Treeby",
title = "Further Physical Derivations of {Fibonacci}
Summations",
journal = j-FIB-QUART,
volume = "54",
number = "4",
pages = "327--??",
month = nov,
year = "2016",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Dec 19 09:28:11 MST 2016",
bibsource = "http://www.fq.math.ca/54-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/54-4/treeby.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bramham:2016:CIS,
author = "Alex Bramham and Martin Griffiths",
title = "Combinatorial Interpretations of Some Convolution
Identities",
journal = j-FIB-QUART,
volume = "54",
number = "4",
pages = "335--??",
month = nov,
year = "2016",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Dec 19 09:28:11 MST 2016",
bibsource = "http://www.fq.math.ca/54-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/54-4/bramham.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Tangboonduangjit:2016:DRP,
author = "Aram Tangboonduangjit and Thotsaporn Thanatipanonda",
title = "Determinants of Rising Powers of Second Order Linear
Recurrence Entries by Means of the {Desnanot--Jacobi}
Identity",
journal = j-FIB-QUART,
volume = "54",
number = "4",
pages = "340--??",
month = nov,
year = "2016",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Dec 19 09:28:11 MST 2016",
bibsource = "http://www.fq.math.ca/54-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/54-4/tangboonduangjit.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Prodinger:2016:ARS,
author = "Helmut Prodinger",
title = "Additional Results on Some Recent Infinite Sums",
journal = j-FIB-QUART,
volume = "54",
number = "4",
pages = "344--??",
month = nov,
year = "2016",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Dec 19 09:28:11 MST 2016",
bibsource = "http://www.fq.math.ca/54-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/54-4/prodinger.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Catral:2016:LDA,
author = "Minerva Catral and Pari L. Ford and Pamela E. Harris
and Steven J. Miller and Dawn Nelson",
title = "Legal Decompositions Arising From Non-Positive Linear
Recurrences",
journal = j-FIB-QUART,
volume = "54",
number = "4",
pages = "348--??",
month = nov,
year = "2016",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Dec 19 09:28:11 MST 2016",
bibsource = "http://www.fq.math.ca/54-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/54-4/catral.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Euler:2016:EPSd,
author = "Russ Euler and Jawad Sadek",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "54",
number = "4",
pages = "366--??",
month = nov,
year = "2016",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Dec 19 09:28:11 MST 2016",
bibsource = "http://www.fq.math.ca/54-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/ElemProbSolnNov2016.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2016:APSd,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "54",
number = "4",
pages = "373--??",
month = nov,
year = "2016",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Dec 19 09:28:11 MST 2016",
bibsource = "http://www.fq.math.ca/54-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/November2016advanced.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2016:PBPb,
author = "Anonymous",
title = "{Paul Bruckman Prize}",
journal = j-FIB-QUART,
volume = "54",
number = "4",
pages = "380--??",
month = nov,
year = "2016",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Dec 19 09:28:11 MST 2016",
bibsource = "http://www.fq.math.ca/54-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Announcements/bruckmanprizeNov2016.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2016:VI,
author = "Anonymous",
title = "Volume Index",
journal = j-FIB-QUART,
volume = "54",
number = "4",
pages = "381--??",
month = nov,
year = "2016",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Dec 19 09:28:11 MST 2016",
bibsource = "http://www.fq.math.ca/54-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Volume_Index/VolumeIndex2016.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hinz:2017:LS,
author = "Andreas M. Hinz",
title = "The {Lichtenberg} Sequence",
journal = j-FIB-QUART,
volume = "55",
number = "1",
pages = "2--??",
month = feb,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jun 21 14:38:50 MDT 2017",
bibsource = "http://www.fq.math.ca/55-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/55-1/hinz.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Koshy:2017:PEDa,
author = "Thomas Koshy and Zhenguang Gao",
title = "Polynomial Extensions of a {Diminnie} Delight",
journal = j-FIB-QUART,
volume = "55",
number = "1",
pages = "13--??",
month = feb,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jun 21 14:38:50 MDT 2017",
bibsource = "http://www.fq.math.ca/55-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/55-1/koshy.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Panraksa:2017:SAP,
author = "Chatchawan Panraksa and Aram Tangboonduangjit",
title = "On Some Arithmetic Properties of a Sequence Related to
the Quotient of {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "55",
number = "1",
pages = "21--??",
month = feb,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jun 21 14:38:50 MDT 2017",
bibsource = "http://www.fq.math.ca/55-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/55-1/panraksa.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Pongsriiam:2017:FLN,
author = "Prapanpong Pongsriiam",
title = "{Fibonacci} and {Lucas} Numbers Which are One Away
From Their Products",
journal = j-FIB-QUART,
volume = "55",
number = "1",
pages = "29--??",
month = feb,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jun 21 14:38:50 MDT 2017",
bibsource = "http://www.fq.math.ca/55-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/55-1/pongsriiam.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Corcino:2017:GMP,
author = "Roberto B. Corcino and Hassan Jolany and Cristina B.
Corcino and Takao Komatsu",
title = "On Generalized Multi Poly-{Euler} Polynomials",
journal = j-FIB-QUART,
volume = "55",
number = "1",
pages = "41--??",
month = feb,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jun 21 14:38:50 MDT 2017",
bibsource = "http://www.fq.math.ca/55-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/55-1/corcino.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hadjicostas:2017:SSC,
author = "Petros Hadjicostas and Lingyun Zhang",
title = "{Sommerville}'s Symmetrical Cyclic Compositions of a
Positive Integer with Parts Avoiding Multiples of an
Integer",
journal = j-FIB-QUART,
volume = "55",
number = "1",
pages = "54--??",
month = feb,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jun 21 14:38:50 MDT 2017",
bibsource = "http://www.fq.math.ca/55-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/55-1/hadjicostas.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bulawa:2017:IVG,
author = "Andrew Bulawa and Whan Ki Lee",
title = "Integer Values of Generating Functions for the
{Fibonacci} and Related Sequences",
journal = j-FIB-QUART,
volume = "55",
number = "1",
pages = "74--??",
month = feb,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jun 21 14:38:50 MDT 2017",
bibsource = "http://www.fq.math.ca/55-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/55-1/bulawa.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kwong:2017:EPSa,
author = "Harris Kwong",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "55",
number = "1",
pages = "82--??",
month = feb,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jun 21 14:38:50 MDT 2017",
bibsource = "http://www.fq.math.ca/55-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/ElemProbSolnFeb2017.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2017:APSa,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "55",
number = "1",
pages = "89--??",
month = feb,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jun 21 14:38:50 MDT 2017",
bibsource = "http://www.fq.math.ca/55-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/February2017advanced.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2017:PBPa,
author = "Anonymous",
title = "{Paul Bruckman Prize}",
journal = j-FIB-QUART,
volume = "55",
number = "1",
pages = "96--??",
month = feb,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jun 21 14:38:50 MDT 2017",
bibsource = "http://www.fq.math.ca/55-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Announcements/bruckmanprize.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2017:FCA,
author = "Anonymous",
title = "{Fibonacci Conference} Announcement",
journal = j-FIB-QUART,
volume = "55",
number = "2",
pages = "98--??",
month = may,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jun 21 14:38:53 MDT 2017",
bibsource = "http://www.fq.math.ca/55-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Announcements/ConfAnnMay2017.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Melham:2017:CFFa,
author = "R. S. Melham",
title = "Closed Forms for Finite Sums of Weighted Products of
Generalized {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "55",
number = "2",
pages = "99--??",
month = may,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jun 21 14:38:53 MDT 2017",
bibsource = "http://www.fq.math.ca/55-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/55-2/melham1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cox:2017:PGS,
author = "Danielle Cox and Karyn McLellan",
title = "A Problem on Generation Sets Containing {Fibonacci}
Numbers",
journal = j-FIB-QUART,
volume = "55",
number = "2",
pages = "105--??",
month = may,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jun 21 14:38:53 MDT 2017",
bibsource = "http://www.fq.math.ca/55-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/55-2/cox.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Grimaldi:2017:ESG,
author = "Ralph P. Grimaldi",
title = "Extraordinary Subsets: A Generalization",
journal = j-FIB-QUART,
volume = "55",
number = "2",
pages = "114--??",
month = may,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jun 21 14:38:53 MDT 2017",
bibsource = "http://www.fq.math.ca/55-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/55-2/grimaldi.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Melham:2017:CFFb,
author = "R. S. Melham",
title = "Closed Forms for Finite Sums of Weighted Products of
the Sine and Cosine Functions",
journal = j-FIB-QUART,
volume = "55",
number = "2",
pages = "123--??",
month = may,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jun 21 14:38:53 MDT 2017",
bibsource = "http://www.fq.math.ca/55-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/55-2/melham2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Koshy:2017:TWJ,
author = "Thomas Koshy and Ralph P. Grimaldi",
title = "Ternary Words and {Jacobsthal} Numbers",
journal = j-FIB-QUART,
volume = "55",
number = "2",
pages = "129--??",
month = may,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jun 21 14:38:53 MDT 2017",
bibsource = "http://www.fq.math.ca/55-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/55-2/koshy-grimaldi.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bryant:2017:GRB,
author = "Mark Bryant and David Hobill",
title = "Golden-Ratio-Based Rectangular Tilings",
journal = j-FIB-QUART,
volume = "55",
number = "2",
pages = "137--??",
month = may,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jun 21 14:38:53 MDT 2017",
bibsource = "http://www.fq.math.ca/55-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/55-2/bryant.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Koshy:2017:PEL,
author = "Thomas Koshy",
title = "Polynomial Extensions of the {Lucas} and {Ginsburg}
Identities Revisited",
journal = j-FIB-QUART,
volume = "55",
number = "2",
pages = "147--??",
month = may,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jun 21 14:38:53 MDT 2017",
bibsource = "http://www.fq.math.ca/55-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/55-2/koshy.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Davis:2017:NIB,
author = "Chad Davis and Daniel Eloff and Blair K. Spearman",
title = "Normal Integral Bases of a Cyclic Quintic Field",
journal = j-FIB-QUART,
volume = "55",
number = "2",
pages = "152--??",
month = may,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jun 21 14:38:53 MDT 2017",
bibsource = "http://www.fq.math.ca/55-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/55-2/davis.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Schumacher:2017:SCI,
author = "Raphael Schumacher",
title = "The Self-Counting Identity",
journal = j-FIB-QUART,
volume = "55",
number = "2",
pages = "157--??",
month = may,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jun 21 14:38:53 MDT 2017",
bibsource = "http://www.fq.math.ca/55-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/55-2/schumacher.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Larcombe:2017:CFF,
author = "Peter J. Larcombe and Eric J. Fennessey",
title = "A Closed Form Formulation for the General Term of a
Scaled Triple Power Product Recurrence Sequence",
journal = j-FIB-QUART,
volume = "55",
number = "2",
pages = "168--??",
month = may,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jun 21 14:38:53 MDT 2017",
bibsource = "http://www.fq.math.ca/55-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/55-2/larcombe.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kwong:2017:EPSb,
author = "Harris Kwong",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "55",
number = "2",
pages = "178--??",
month = may,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jun 21 14:38:53 MDT 2017",
bibsource = "http://www.fq.math.ca/55-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/ElemProvSolnMay2017.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2017:APSb,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "55",
number = "2",
pages = "184--??",
month = may,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jun 21 14:38:53 MDT 2017",
bibsource = "http://www.fq.math.ca/55-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/May2017advanced.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2017:PBPb,
author = "Anonymous",
title = "{Paul Bruckman Prize}",
journal = j-FIB-QUART,
volume = "55",
number = "2",
pages = "192--??",
month = may,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jun 21 14:38:53 MDT 2017",
bibsource = "http://www.fq.math.ca/55-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Announcements/bruckmanprizeMay2017.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Melham:2017:CFCa,
author = "Anonymous",
title = "{Fibonacci Conference and Caen Proceedings}
Announcements",
journal = j-FIB-QUART,
volume = "55",
number = "3",
pages = "194--??",
month = aug,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Oct 14 16:31:23 MDT 2017",
bibsource = "http://www.fq.math.ca/55-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Announcements/ConfAnnAug2017.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Melham:2017:CFCb,
author = "R. S. Melham",
title = "Closed Forms for Certain {Fibonacci} Type Sums That
Involve Second Order Products",
journal = j-FIB-QUART,
volume = "55",
number = "3",
pages = "195--??",
month = aug,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Oct 14 16:31:23 MDT 2017",
bibsource = "http://www.fq.math.ca/55-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/55-3/melham1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cook:2017:HOB,
author = "Charles K. Cook and Michael R. Bacon and Rebecca A.
Hillman",
title = "Higher Order Boustrophedon Transforms for Certain
Well-Known Sequences",
journal = j-FIB-QUART,
volume = "55",
number = "3",
pages = "201--??",
month = aug,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Oct 14 16:31:23 MDT 2017",
bibsource = "http://www.fq.math.ca/55-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/55-3/cook.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Somer:2017:MWC,
author = "Lawrence Somer and Michal Kr{\'\i}zek",
title = "On Moduli for Which Certain Second-Order Linear
Recurrences Contain a Complete System of {Residues}
Modulo $m$",
journal = j-FIB-QUART,
volume = "55",
number = "3",
pages = "209--??",
month = aug,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Oct 14 16:31:23 MDT 2017",
bibsource = "http://www.fq.math.ca/55-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/55-3/somer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Melham:2017:SCP,
author = "R. S. Melham",
title = "Sums of Certain Products of {Fibonacci} and {Lucas}
Numbers --- {Part III}",
journal = j-FIB-QUART,
volume = "55",
number = "3",
pages = "229--??",
month = aug,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Oct 14 16:31:23 MDT 2017",
bibsource = "http://www.fq.math.ca/55-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/55-3/melham2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Zhang:2017:CPG,
author = "Yifan Zhang and George Grossman",
title = "A Combinatorial Proof for the Generating Function of
Powers of the {Fibonacci} Sequence",
journal = j-FIB-QUART,
volume = "55",
number = "3",
pages = "235--??",
month = aug,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Oct 14 16:31:23 MDT 2017",
bibsource = "http://www.fq.math.ca/55-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/55-3/zhang.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Eriksson:2017:LSB,
author = "Henrik Eriksson and Markus Jonsson",
title = "Level Sizes of the {Bulgarian} Solitaire Game Tree",
journal = j-FIB-QUART,
volume = "55",
number = "3",
pages = "243--??",
month = aug,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Oct 14 16:31:23 MDT 2017",
bibsource = "http://www.fq.math.ca/55-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/55-3/eriksson.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Catral:2017:NBL,
author = "Minerva Catral and Pari L. Ford and Pamela E. Harris
and Steven J. Miller and Dawn Nelson and Zhao Pan and
Huanzhong Xu",
title = "New Behavior in Legal Decompositions Arising from
Non-Positive Linear Recurrences",
journal = j-FIB-QUART,
volume = "55",
number = "3",
pages = "252--??",
month = aug,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Oct 14 16:31:23 MDT 2017",
bibsource = "http://www.fq.math.ca/55-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/55-3/catral.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kwong:2017:EPSc,
author = "Harris Kwong",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "55",
number = "3",
pages = "276--??",
month = aug,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Oct 14 16:31:23 MDT 2017",
bibsource = "http://www.fq.math.ca/55-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/ElemProSolnAugust2017.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2017:APSc,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "55",
number = "3",
pages = "282--??",
month = aug,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Oct 14 16:31:23 MDT 2017",
bibsource = "http://www.fq.math.ca/55-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/AdvPSAug2017.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2017:APSd,
author = "Anonymous",
title = "{Paul Bruckman Prize}",
journal = j-FIB-QUART,
volume = "55",
number = "3",
pages = "288--??",
month = aug,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Oct 14 16:31:23 MDT 2017",
bibsource = "http://www.fq.math.ca/55-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Announcements/bruckmanprize17.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2017:FCC,
author = "Anonymous",
title = "{Fibonacci Conference and Caen Proceedings}
Announcements",
journal = j-FIB-QUART,
volume = "55",
number = "4",
pages = "290--??",
month = nov,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Jun 4 06:49:48 MDT 2018",
bibsource = "http://www.fq.math.ca/55-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Announcements/ConfAnnNov2017.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Szikszai:2017:DPL,
author = "M{\'a}rton Szikszai",
title = "Distinct Products in {Lucas} Sequences --- On a
Problem of {Kimberling}",
journal = j-FIB-QUART,
volume = "55",
number = "4",
pages = "291--??",
month = nov,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Jun 4 06:49:48 MDT 2018",
bibsource = "http://www.fq.math.ca/55-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/55-4/szikszai.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ballot:2017:DML,
author = "Christian Ballot",
title = "Divisibility of the Middle {Lucasnomial} Coefficient",
journal = j-FIB-QUART,
volume = "55",
number = "4",
pages = "297--??",
month = nov,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Jun 4 06:49:48 MDT 2018",
bibsource = "http://www.fq.math.ca/55-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/55-4/ballot.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Panda:2017:CBN,
author = "A. K. Panda and G. K. Panda",
title = "Circular Balancing Numbers",
journal = j-FIB-QUART,
volume = "55",
number = "4",
pages = "309--??",
month = nov,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Jun 4 06:49:48 MDT 2018",
bibsource = "http://www.fq.math.ca/55-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/55-4/panda.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Euler:2017:RBK,
author = "Russell Euler and Jawad Sadek",
title = "Relationships Between $k$-Gonal Numbers that Are
Centered $k$-Gonal, and {Lucas} and Related Numbers",
journal = j-FIB-QUART,
volume = "55",
number = "4",
pages = "315--??",
month = nov,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Jun 4 06:49:48 MDT 2018",
bibsource = "http://www.fq.math.ca/55-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/55-4/euler.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Koshy:2017:PEDb,
author = "Thomas Koshy and Zhenguang Gao",
title = "Polynomial Extensions of a {Diminnie} Delight
Revisited: {Part I}",
journal = j-FIB-QUART,
volume = "55",
number = "4",
pages = "320--??",
month = nov,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Jun 4 06:49:48 MDT 2018",
bibsource = "http://www.fq.math.ca/55-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/55-4/koshy.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Caragiu:2017:CSF,
author = "Mihai Caragiu and Paul A. Vicol and Mohammad Zaki",
title = "On {Conway}'s Subprime Function, A Covering of {$N$}
and an Unexpected Appearance of the {Golden Ratio}",
journal = j-FIB-QUART,
volume = "55",
number = "4",
pages = "327--??",
month = nov,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Jun 4 06:49:48 MDT 2018",
bibsource = "http://www.fq.math.ca/55-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/55-4/caragiu.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bagdasar:2017:MPH,
author = "Ovidiu D. Bagdasar and Peter J. Larcombe",
title = "On the Masked Periodicity of {Horadam} Sequences: A
Generator-Based Approach",
journal = j-FIB-QUART,
volume = "55",
number = "4",
pages = "332--??",
month = nov,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Jun 4 06:49:48 MDT 2018",
bibsource = "http://www.fq.math.ca/55-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/55-4/bagdasar.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Nyul:2017:LSH,
author = "G{\'a}bor Nyul and Gabriella R{\'a}cz",
title = "{Lucas} Sequences and the {Hosoya} Index of Graphs",
journal = j-FIB-QUART,
volume = "55",
number = "4",
pages = "340--??",
month = nov,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Jun 4 06:49:48 MDT 2018",
bibsource = "http://www.fq.math.ca/55-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/55-4/nyul.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Adegoke:2017:SIP,
author = "Kunle Adegoke",
title = "Some Infinite Product Identities Involving {Fibonacci}
and {Lucas} Numbers",
journal = j-FIB-QUART,
volume = "55",
number = "4",
pages = "343--??",
month = nov,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Jun 4 06:49:48 MDT 2018",
bibsource = "http://www.fq.math.ca/55-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/55-4/adegoke.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Saidak:2017:PNS,
author = "Filip Saidak",
title = "The Prime Numbers Without the {Sieve of
Eratosthenes}",
journal = j-FIB-QUART,
volume = "55",
number = "4",
pages = "352--??",
month = nov,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Jun 4 06:49:48 MDT 2018",
bibsource = "http://www.fq.math.ca/55-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/55-4/saidak.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Edwards:2017:GDC,
author = "Steven Edwards and William Griffiths",
title = "Generalizations of {Delannoy} and Cross Polytope
Numbers",
journal = j-FIB-QUART,
volume = "55",
number = "4",
pages = "357--??",
month = nov,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Jun 4 06:49:48 MDT 2018",
bibsource = "http://www.fq.math.ca/55-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/55-4/edwards.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kwong:2017:EPSd,
author = "Harris Kwong",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "55",
number = "4",
pages = "367--??",
month = nov,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Jun 4 06:49:48 MDT 2018",
bibsource = "http://www.fq.math.ca/55-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/ElemProbSolnNov2017.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2017:APS,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "55",
number = "4",
pages = "374--??",
month = nov,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Jun 4 06:49:48 MDT 2018",
bibsource = "http://www.fq.math.ca/55-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/November2017advanced.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2017:PBP,
author = "Anonymous",
title = "{Paul Bruckman Prize}",
journal = j-FIB-QUART,
volume = "55",
number = "4",
pages = "380--??",
month = nov,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Jun 4 06:49:48 MDT 2018",
bibsource = "http://www.fq.math.ca/55-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Announcements/bruckmanprizeNov2017.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2017:VI,
author = "Anonymous",
title = "Volume Index",
journal = j-FIB-QUART,
volume = "55",
number = "4",
pages = "381--??",
month = nov,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Jun 4 06:49:48 MDT 2018",
bibsource = "http://www.fq.math.ca/55-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Volume_Index/VolumeIndex2017.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Allouche:2017:SEB,
author = "Jean-Paul Allouche",
title = "Some Extremalities of the Binary {Fibonacci}
Sequence",
journal = j-FIB-QUART,
volume = "55",
number = "5",
pages = "??--??",
month = dec,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Aug 12 08:26:34 MDT 2017",
bibsource = "http://www.fq.math.ca/55-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/55-5/allouche.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anderson:2017:NER,
author = "Peter G. Anderson",
title = "Notes \& Extensions for a Remarkable Continued
Fraction",
journal = j-FIB-QUART,
volume = "55",
number = "5",
pages = "??--??",
month = dec,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Aug 12 08:26:34 MDT 2017",
bibsource = "http://www.fq.math.ca/55-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/55-5/anderson.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2017:CR,
author = "Anonymous",
title = "Conference Report",
journal = j-FIB-QUART,
volume = "55",
number = "5",
pages = "??--??",
month = dec,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Aug 12 08:26:34 MDT 2017",
bibsource = "http://www.fq.math.ca/55-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/55-5/Foreword.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2017:F,
author = "Anonymous",
title = "Foreword",
journal = j-FIB-QUART,
volume = "55",
number = "5",
pages = "??--??",
month = dec,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Aug 12 08:26:34 MDT 2017",
bibsource = "http://www.fq.math.ca/55-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/55-5/Participants.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2017:LP,
author = "Anonymous",
title = "List of Participants",
journal = j-FIB-QUART,
volume = "55",
number = "5",
pages = "??--??",
month = dec,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Aug 12 08:26:34 MDT 2017",
bibsource = "http://www.fq.math.ca/55-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/55-5/Contents.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2017:TP,
author = "Anonymous",
title = "Title page",
journal = j-FIB-QUART,
volume = "55",
number = "5",
pages = "??--??",
month = dec,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Aug 12 08:26:34 MDT 2017",
bibsource = "http://www.fq.math.ca/55-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/55-5/Report.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ballot:2017:LRO,
author = "Christian Ballot and Clark Kimberling and Peter J. C.
Moses",
title = "Linear Recurrences Originating From Polynomial Trees",
journal = j-FIB-QUART,
volume = "55",
number = "5",
pages = "??--??",
month = dec,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Aug 12 08:26:34 MDT 2017",
bibsource = "http://www.fq.math.ca/55-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/55-5/ballot.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Benjamin:2017:BPD,
author = "Arthur T. Benjamin and Joel Ornstein",
title = "A Bijective Proof of a Derangement Recurrence",
journal = j-FIB-QUART,
volume = "55",
number = "5",
pages = "??--??",
month = dec,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Aug 12 08:26:34 MDT 2017",
bibsource = "http://www.fq.math.ca/55-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/55-5/benjamin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Boman:2017:WDF,
author = "Bruce M. Boman and Thien-Nam Dinh and Keith Decker and
Brooks Emerick and Christopher Raymond and Gilberto
Schleiniger",
title = "Why do {Fibonacci} Numbers Appear in Patterns of
Growth in Nature?",
journal = j-FIB-QUART,
volume = "55",
number = "5",
pages = "??--??",
month = dec,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Aug 12 08:26:34 MDT 2017",
bibsource = "http://www.fq.math.ca/55-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/55-5/boman.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brown:2017:NLG,
author = "Christopher Brown",
title = "The Natural Logarithm of the Golden Section",
journal = j-FIB-QUART,
volume = "55",
number = "5",
pages = "??--??",
month = dec,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Aug 12 08:26:34 MDT 2017",
bibsource = "http://www.fq.math.ca/55-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/55-5/brown.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cerin:2017:CLI,
author = "Zvonko Cerin",
title = "On {Candido} Like Identities",
journal = j-FIB-QUART,
volume = "55",
number = "5",
pages = "??--??",
month = dec,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Aug 12 08:26:34 MDT 2017",
bibsource = "http://www.fq.math.ca/55-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/55-5/cerin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cooper:2017:IRH,
author = "Curtis Cooper and Steven Miller and Peter J. C. Moses
and Murat Sahin and Thotsaporn Thanatipanonda",
title = "On Identities of {Ruggles}, {Horadam}, {Howard}, and
{Young}",
journal = j-FIB-QUART,
volume = "55",
number = "5",
pages = "??--??",
month = dec,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Aug 12 08:26:34 MDT 2017",
bibsource = "http://www.fq.math.ca/55-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/55-5/cooper.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cull:2017:WTY,
author = "Paul Cull",
title = "What {I} Tell You {$K$} Times is True",
journal = j-FIB-QUART,
volume = "55",
number = "5",
pages = "??--??",
month = dec,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Aug 12 08:26:34 MDT 2017",
bibsource = "http://www.fq.math.ca/55-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/55-5/cull.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hendel:2017:PGC,
author = "Russell Jay Hendel",
title = "Proof and Generalization of the
{Cassini--Catalan--Tagiuri--Gould} Identities",
journal = j-FIB-QUART,
volume = "55",
number = "5",
pages = "??--??",
month = dec,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Aug 12 08:26:34 MDT 2017",
bibsource = "http://www.fq.math.ca/55-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/55-5/hendel.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Johnson:2017:ATO,
author = "Virginia P. Johnson and Charles K. Cook",
title = "Areas of Triangles and Other Polygons with Vertices
from Various Sequences",
journal = j-FIB-QUART,
volume = "55",
number = "5",
pages = "??--??",
month = dec,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Aug 12 08:26:34 MDT 2017",
bibsource = "http://www.fq.math.ca/55-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/55-5/johnson.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kimberling:2017:PP,
author = "Clark Kimberling",
title = "Problem Proposals",
journal = j-FIB-QUART,
volume = "55",
number = "5",
pages = "??--??",
month = dec,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Aug 12 08:26:34 MDT 2017",
bibsource = "http://www.fq.math.ca/55-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/55-5/Problems.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lengyel:2017:RPA,
author = "Tam{\'a}s Lengyel",
title = "On the Rate of $p$-adic Convergence of Alternating
Sums of Powers of Binomial Coefficients",
journal = j-FIB-QUART,
volume = "55",
number = "5",
pages = "??--??",
month = dec,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Aug 12 08:26:34 MDT 2017",
bibsource = "http://www.fq.math.ca/55-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/55-5/lengyel.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Li:2017:CCL,
author = "Ray Li and Steven J. Miller",
title = "A Collection of Central Limit Type Results in
Generalized {Zeckendorf} Decompositions",
journal = j-FIB-QUART,
volume = "55",
number = "5",
pages = "??--??",
month = dec,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Aug 12 08:26:34 MDT 2017",
bibsource = "http://www.fq.math.ca/55-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/55-5/li.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Mansuy:2017:FWC,
author = "Fr{\'e}d{\'e}ric Mansuy",
title = "{Fibonacci} words and the construction of a
``Quasicrystalline'' Fivefold Structure",
journal = j-FIB-QUART,
volume = "55",
number = "5",
pages = "??--??",
month = dec,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Aug 12 08:26:34 MDT 2017",
bibsource = "http://www.fq.math.ca/55-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/55-5/mansuy.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Miller:2017:ABV,
author = "Steven J. Miller and Dawn Nelson and Zhao Pan and
Huanzhong Xu",
title = "On the Asymptotic Behavior of Variance of {PLRS}
Decompositions",
journal = j-FIB-QUART,
volume = "55",
number = "5",
pages = "??--??",
month = dec,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Aug 12 08:26:34 MDT 2017",
bibsource = "http://www.fq.math.ca/55-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/55-5/miller.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Munagi:2017:TAB,
author = "Augustine O. Munagi",
title = "Two Applications of the Bijection on {Fibonacci} Set
Partitions",
journal = j-FIB-QUART,
volume = "55",
number = "5",
pages = "??--??",
month = dec,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Aug 12 08:26:34 MDT 2017",
bibsource = "http://www.fq.math.ca/55-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/55-5/munagi.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ruiz:2017:WSS,
author = "Claudio Pita Ruiz",
title = "Weighted Sums of Squares via Generalized {Eulerian}
Polynomials",
journal = j-FIB-QUART,
volume = "55",
number = "5",
pages = "??--??",
month = dec,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Aug 12 08:26:34 MDT 2017",
bibsource = "http://www.fq.math.ca/55-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/55-5/pitaruiz.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Stanica:2017:REP,
author = "Gabriela N. Stanica and Pantelimon Stanica",
title = "Recurrences for Entries of Powers of Matrices",
journal = j-FIB-QUART,
volume = "55",
number = "5",
pages = "??--??",
month = dec,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Aug 12 08:26:34 MDT 2017",
bibsource = "http://www.fq.math.ca/55-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/55-5/stanica.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Stockmeyer:2017:ESA,
author = "Paul K. Stockmeyer",
title = "An Exploration of Sequence A000975",
journal = j-FIB-QUART,
volume = "55",
number = "5",
pages = "??--??",
month = dec,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Aug 12 08:26:34 MDT 2017",
bibsource = "http://www.fq.math.ca/55-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/55-5/stockmeyer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Szakacs:2017:KOL,
author = "Tam{\'a}s Szak{\'a}cs",
title = "$k$-Order Linear Recursive Sequences and the Golden
Ratio",
journal = j-FIB-QUART,
volume = "55",
number = "5",
pages = "??--??",
month = dec,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Aug 12 08:26:34 MDT 2017",
bibsource = "http://www.fq.math.ca/55-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/55-5/szakacs.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Taous:2017:CGW,
author = "Mohammed Taous",
title = "On the 2-Class Group of {$ \mathbb {Q}(\bar {5 p F_p})
$} Where {$ F_p $} is a Prime {Fibonacci} Number",
journal = j-FIB-QUART,
volume = "55",
number = "5",
pages = "192--200",
month = dec,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Aug 12 08:26:34 MDT 2017",
bibsource = "http://www.fq.math.ca/55-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/55-5/taous.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Young:2017:CBL,
author = "Paul Thomas Young",
title = "Congruences for {Bernoulli--Lucas} Sums",
journal = j-FIB-QUART,
volume = "55",
number = "5",
pages = "??--??",
month = dec,
year = "2017",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Aug 12 08:26:34 MDT 2017",
bibsource = "http://www.fq.math.ca/55-5.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/55-5/young.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2018:FCC,
author = "Anonymous",
title = "{Fibonacci Conference and Caen Proceedings}
Announcements",
journal = j-FIB-QUART,
volume = "56",
number = "1",
pages = "2--??",
month = feb,
year = "2018",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Jun 4 06:49:50 MDT 2018",
bibsource = "http://www.fq.math.ca/56-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Announcements/ConfAnnFeb2018.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Melham:2018:FCFa,
author = "R. S. Melham",
title = "Further Closed Forms for Finite Sums of Weighted
Products of Generalized {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "56",
number = "1",
pages = "3--??",
month = feb,
year = "2018",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Jun 4 06:49:50 MDT 2018",
bibsource = "http://www.fq.math.ca/56-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/56-1/melham1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Koshy:2018:PED,
author = "Thomas Koshy and Zhenguang Gao",
title = "Polynomial Extensions of a {Diminnie} Delight
Revisited: {Part II}",
journal = j-FIB-QUART,
volume = "56",
number = "1",
pages = "10--??",
month = feb,
year = "2018",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Jun 4 06:49:50 MDT 2018",
bibsource = "http://www.fq.math.ca/56-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/56-1/koshy.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Sahin:2018:CSD,
author = "Murat Sahin and Elif Tan",
title = "Conditional (Strong) Divisibility Sequences",
journal = j-FIB-QUART,
volume = "56",
number = "1",
pages = "18--??",
month = feb,
year = "2018",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Jun 4 06:49:50 MDT 2018",
bibsource = "http://www.fq.math.ca/56-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/56-1/sahin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hirschhorn:2018:CMP,
author = "Michael D. Hirschhorn",
title = "Congruences Modulo 5 for Partitions Into at Most Four
Parts",
journal = j-FIB-QUART,
volume = "56",
number = "1",
pages = "32--??",
month = feb,
year = "2018",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Jun 4 06:49:50 MDT 2018",
bibsource = "http://www.fq.math.ca/56-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/56-1/hirschhorn.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Melham:2018:FCFb,
author = "R. S. Melham",
title = "Further Closed Forms for Finite Sums of Weighted
Products of the Sine and Cosine Functions",
journal = j-FIB-QUART,
volume = "56",
number = "1",
pages = "38--??",
month = feb,
year = "2018",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Jun 4 06:49:50 MDT 2018",
bibsource = "http://www.fq.math.ca/56-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/56-1/melham2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Klaska:2018:DDW,
author = "Ji{\v{r}}{\'\i} Kla{\v{s}}ka",
title = "{Donald Dines} {Wall}'s Conjecture",
journal = j-FIB-QUART,
volume = "56",
number = "1",
pages = "43--??",
month = feb,
year = "2018",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Jun 4 06:49:50 MDT 2018",
bibsource = "http://www.fq.math.ca/56-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/56-1/klaska.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Faye:2018:XCP,
author = "Bernadette Faye and Florian Luca",
title = "On {$X$}-Coordinates of {Pell} Equations that Are
Repdigits",
journal = j-FIB-QUART,
volume = "56",
number = "1",
pages = "52--??",
month = feb,
year = "2018",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Jun 4 06:49:50 MDT 2018",
bibsource = "http://www.fq.math.ca/56-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/56-1/faye.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rihane:2018:DDT,
author = "Salah Eddine Rihane and Mohand Ouamar Hernane and
Alain Togb{\'e}",
title = "On the {$ D(4) $}-{Diophantine} Triples of {Fibonacci}
Numbers",
journal = j-FIB-QUART,
volume = "56",
number = "1",
pages = "63--??",
month = feb,
year = "2018",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Jun 4 06:49:50 MDT 2018",
bibsource = "http://www.fq.math.ca/56-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/56-1/rihane.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Griffiths:2018:FIF,
author = "Martin Griffiths",
title = "A Formula for an Infinite Family of {Fibonacci}-Word
Sequences",
journal = j-FIB-QUART,
volume = "56",
number = "1",
pages = "75--??",
month = feb,
year = "2018",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Jun 4 06:49:50 MDT 2018",
bibsource = "http://www.fq.math.ca/56-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/56-1/griffiths.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kwong:2018:EPSa,
author = "Harris Kwong",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "56",
number = "1",
pages = "81--??",
month = feb,
year = "2018",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Jun 4 06:49:50 MDT 2018",
bibsource = "http://www.fq.math.ca/56-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/ElemProbSolnFeb2018.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2018:APSa,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "56",
number = "1",
pages = "89--??",
month = feb,
year = "2018",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Jun 4 06:49:50 MDT 2018",
bibsource = "http://www.fq.math.ca/56-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/February2018AdvancedProblemREV.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2018:PBPa,
author = "Anonymous",
title = "{Paul Bruckman Prize}",
journal = j-FIB-QUART,
volume = "56",
number = "1",
pages = "96--??",
month = feb,
year = "2018",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Jun 4 06:49:50 MDT 2018",
bibsource = "http://www.fq.math.ca/56-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Announcements/bruckmanprizeFeb2018.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2018:FCF,
author = "Anonymous",
title = "{Fibonacci Conference} and Final Announcement",
journal = j-FIB-QUART,
volume = "56",
number = "2",
pages = "98--??",
month = may,
year = "2018",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Jun 4 06:49:52 MDT 2018",
bibsource = "http://www.fq.math.ca/56-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Announcements/ConfAnnMay2018.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Melham:2018:SRW,
author = "R. S. Melham",
title = "Sums of Reciprocals of Weighted Products of the Sine
and and Cosine Functions",
journal = j-FIB-QUART,
volume = "56",
number = "2",
pages = "99--??",
month = may,
year = "2018",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Jun 4 06:49:52 MDT 2018",
bibsource = "http://www.fq.math.ca/56-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/56-2/melham1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Koshy:2018:PEL,
author = "Thomas Koshy",
title = "Polynomial Extensions of the {Lucas} and {Ginsburg}
Identities Revisited: Additional Dividends {I}",
journal = j-FIB-QUART,
volume = "56",
number = "2",
pages = "106--??",
month = may,
year = "2018",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Jun 4 06:49:52 MDT 2018",
bibsource = "http://www.fq.math.ca/56-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/56-2/koshy.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Debellevue:2018:FBF,
author = "Michael Debellevue and Ekaterina Kryuchkova",
title = "Fractal Behavior of the {Fibonomial} Triangle Modulo
Prime $p$, Where the Rank of Apparition of $p$ is $ p +
1$",
journal = j-FIB-QUART,
volume = "56",
number = "2",
pages = "113--??",
month = may,
year = "2018",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Jun 4 06:49:52 MDT 2018",
bibsource = "http://www.fq.math.ca/56-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/56-2/debellevue.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Larcombe:2018:GFA,
author = "Peter J. Larcombe and Sam T. O'Neill",
title = "A Generating Function Approach to the Automated
Evaluation of Sums of Exponentiated Multiples of
Generalized {Catalan} Number Linear Combinations",
journal = j-FIB-QUART,
volume = "56",
number = "2",
pages = "121--??",
month = may,
year = "2018",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Jun 4 06:49:52 MDT 2018",
bibsource = "http://www.fq.math.ca/56-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/56-2/larcombe.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2018:MEF,
author = "Florian Luca and Anitha Srinivasan",
title = "{Markov} Equation With {Fibonacci} Components",
journal = j-FIB-QUART,
volume = "56",
number = "2",
pages = "126--??",
month = may,
year = "2018",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Jun 4 06:49:52 MDT 2018",
bibsource = "http://www.fq.math.ca/56-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/56-2/luca.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Coppenbarger:2018:IMS,
author = "Matthew E. Coppenbarger",
title = "Iterations of a Modified {Sisyphus} Function",
journal = j-FIB-QUART,
volume = "56",
number = "2",
pages = "130--??",
month = may,
year = "2018",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Jun 4 06:49:52 MDT 2018",
bibsource = "http://www.fq.math.ca/56-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/56-2/coppenbarger.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hendel:2018:TFT,
author = "Russell Jay Hendel",
title = "Towards Formulating a {Tagiuri} Generating Method
Conjecture",
journal = j-FIB-QUART,
volume = "56",
number = "2",
pages = "142--??",
month = may,
year = "2018",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Jun 4 06:49:52 MDT 2018",
bibsource = "http://www.fq.math.ca/56-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/56-2/hendel.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Alperin:2018:CST,
author = "Roger C. Alperin",
title = "{$A$}-{Cassini} Sequences and Their Spectrum",
journal = j-FIB-QUART,
volume = "56",
number = "2",
pages = "153--??",
month = may,
year = "2018",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Jun 4 06:49:52 MDT 2018",
bibsource = "http://www.fq.math.ca/56-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/56-2/alperin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{LaDue:2018:CIE,
author = "Mark D. LaDue",
title = "Clusters of Integers With Equal Total Stopping Times
in the {$ 3 X + 1 $} Problem",
journal = j-FIB-QUART,
volume = "56",
number = "2",
pages = "156--??",
month = may,
year = "2018",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Jun 4 06:49:52 MDT 2018",
bibsource = "http://www.fq.math.ca/56-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/56-2/ladue.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Dalenberg:2018:CFB,
author = "Paul Dalenberg and Tom Edgar",
title = "Consecutive Factorial Base {Niven} Numbers",
journal = j-FIB-QUART,
volume = "56",
number = "2",
pages = "163--??",
month = may,
year = "2018",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Jun 4 06:49:52 MDT 2018",
bibsource = "http://www.fq.math.ca/56-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/56-2/dalenberg.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Melham:2018:CFFa,
author = "R. S. Melham",
title = "Closed Formulas for Finite Sums of Weighted Fractional
Generalized {Fibonacci} Products",
journal = j-FIB-QUART,
volume = "56",
number = "2",
pages = "167--??",
month = may,
year = "2018",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Jun 4 06:49:52 MDT 2018",
bibsource = "http://www.fq.math.ca/56-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/56-2/melham2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kwong:2018:EPSb,
author = "Harris Kwong",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "56",
number = "2",
pages = "177--??",
month = may,
year = "2018",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Jun 4 06:49:52 MDT 2018",
bibsource = "http://www.fq.math.ca/56-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/ElemProbMay2018.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2018:APSb,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "56",
number = "2",
pages = "185--??",
month = may,
year = "2018",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Jun 4 06:49:52 MDT 2018",
bibsource = "http://www.fq.math.ca/56-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/AdvProbMay2018.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2018:PBPb,
author = "Anonymous",
title = "{Paul Bruckman Prize}",
journal = j-FIB-QUART,
volume = "56",
number = "2",
pages = "192--??",
month = may,
year = "2018",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Jun 4 06:49:52 MDT 2018",
bibsource = "http://www.fq.math.ca/56-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Announcements/bruckmanprize2018.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bicknell-Johnson:2018:RIC,
author = "Marjorie Bicknell-Johnson",
title = "A Report on the {18th International Conference on
Fibonacci Numbers and Their Applications}",
journal = j-FIB-QUART,
volume = "56",
number = "3",
pages = "194--??",
month = aug,
year = "2018",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 17 08:25:05 MDT 2018",
bibsource = "http://www.fq.math.ca/56-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Announcements/ConferenceReport18.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kimberling:2018:CBH,
author = "Clark Kimberling and Takao Komatsu and K{\'a}lm{\'a}n
Liptai and L{\'a}szl{\'o} Szalay",
title = "A Connection Between Hyper-{Fibonacci} Numbers and
Fissions of Polynomial Sequences",
journal = j-FIB-QUART,
volume = "56",
number = "3",
pages = "195--??",
month = aug,
year = "2018",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 17 08:25:05 MDT 2018",
bibsource = "http://www.fq.math.ca/56-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/56-3/kimberling.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Greene:2018:LST,
author = "John Greene",
title = "{Lucas} Sequences and Traces of Matrix Products",
journal = j-FIB-QUART,
volume = "56",
number = "3",
pages = "200--??",
month = aug,
year = "2018",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 17 08:25:05 MDT 2018",
bibsource = "http://www.fq.math.ca/56-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/56-3/greene.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Koshy:2018:DGP,
author = "Thomas Koshy",
title = "Differences of {Gibonacci} Polynomial Products of
Orders 2, 3, and 4",
journal = j-FIB-QUART,
volume = "56",
number = "3",
pages = "212--??",
month = aug,
year = "2018",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 17 08:25:05 MDT 2018",
bibsource = "http://www.fq.math.ca/56-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/56-3/koshy1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Grundman:2018:SCH,
author = "Helen G. Grundman and Pamela E. Harris",
title = "Sequences of Consecutive Happy Numbers in Negative
Bases",
journal = j-FIB-QUART,
volume = "56",
number = "3",
pages = "221--??",
month = aug,
year = "2018",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 17 08:25:05 MDT 2018",
bibsource = "http://www.fq.math.ca/56-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/56-3/grundman.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Shtefan:2018:SCF,
author = "Dmitriy Shtefan and Irina Dobrovolska",
title = "The Sums of the Consecutive {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "56",
number = "3",
pages = "229--??",
month = aug,
year = "2018",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 17 08:25:05 MDT 2018",
bibsource = "http://www.fq.math.ca/56-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/56-3/shtefan.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Koshy:2018:SGC,
author = "Thomas Koshy and Martin Griffiths",
title = "Some {Gibonacci} Convolutions with Dividends",
journal = j-FIB-QUART,
volume = "56",
number = "3",
pages = "237--??",
month = aug,
year = "2018",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 17 08:25:05 MDT 2018",
bibsource = "http://www.fq.math.ca/56-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/56-3/koshy2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Sahukar:2018:AFB,
author = "Manasi Kumari Sahukar and G. K. Panda",
title = "Arithmetic Functions of Balancing Numbers",
journal = j-FIB-QUART,
volume = "56",
number = "3",
pages = "246--??",
month = aug,
year = "2018",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 17 08:25:05 MDT 2018",
bibsource = "http://www.fq.math.ca/56-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/56-3/sahukar.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Adegoke:2018:WSS,
author = "Kunle Adegoke",
title = "Weighted Sums of Some Second-Order Sequences",
journal = j-FIB-QUART,
volume = "56",
number = "3",
pages = "252--??",
month = aug,
year = "2018",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 17 08:25:05 MDT 2018",
bibsource = "http://www.fq.math.ca/56-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/56-3/adegoke.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Frontczak:2018:SFL,
author = "Robert Frontczak",
title = "Some {Fibonacci--Lucas--Tribonacci--Lucas}
Identities",
journal = j-FIB-QUART,
volume = "56",
number = "3",
pages = "263--??",
month = aug,
year = "2018",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 17 08:25:05 MDT 2018",
bibsource = "http://www.fq.math.ca/56-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/56-3/frontczak.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kwong:2018:EPSc,
author = "Harris Kwong",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "56",
number = "3",
pages = "275--??",
month = aug,
year = "2018",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 17 08:25:05 MDT 2018",
bibsource = "http://www.fq.math.ca/56-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/ElemProSolnAugust2018.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2018:APSc,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "56",
number = "3",
pages = "283--??",
month = aug,
year = "2018",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 17 08:25:05 MDT 2018",
bibsource = "http://www.fq.math.ca/56-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/August2018AdvancedREV.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2018:PBPc,
author = "Anonymous",
title = "{Paul Bruckman Prize}",
journal = j-FIB-QUART,
volume = "56",
number = "3",
pages = "288--??",
month = aug,
year = "2018",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 17 08:25:05 MDT 2018",
bibsource = "http://www.fq.math.ca/56-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Announcements/bruckmanprizeAug2018.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Melham:2018:CFFb,
author = "R. S. Melham",
title = "Closed Forms for 10 Families of Finite Sums of
Fractional Generalized {Fibonacci} Products",
journal = j-FIB-QUART,
volume = "56",
number = "4",
pages = "290--??",
month = nov,
year = "2018",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Dec 28 06:46:26 MST 2018",
bibsource = "http://www.fq.math.ca/56-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/56-4/melham1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Onphaeng:2018:CED,
author = "Kritkhajohn Onphaeng and Prapanpong Pongsriiam",
title = "The Converse of Exact Divisibility by Powers of the
{Fibonacci} and {Lucas} Numbers",
journal = j-FIB-QUART,
volume = "56",
number = "4",
pages = "296--??",
month = nov,
year = "2018",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Dec 28 06:46:26 MST 2018",
bibsource = "http://www.fq.math.ca/56-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/56-4/onphaeng.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hopkins:2018:FPR,
author = "Brian Hopkins and Aram Tangboonduangjit",
title = "{Fibonacci}-Producing Rational Polynomials",
journal = j-FIB-QUART,
volume = "56",
number = "4",
pages = "303--??",
month = nov,
year = "2018",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Dec 28 06:46:26 MST 2018",
bibsource = "http://www.fq.math.ca/56-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/56-4/hopkins.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Abel:2018:SNI,
author = "Ulrich Abel",
title = "Some New Identities for Derangement Numbers",
journal = j-FIB-QUART,
volume = "56",
number = "4",
pages = "313--??",
month = nov,
year = "2018",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Dec 28 06:46:26 MST 2018",
bibsource = "http://www.fq.math.ca/56-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/56-4/abel.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rayaguru:2018:RPC,
author = "S. G. Rayaguru and G. K. Panda",
title = "Repdigits as Products of Consecutive Balancing or
{Lucas}-Balancing Numbers",
journal = j-FIB-QUART,
volume = "56",
number = "4",
pages = "319--??",
month = nov,
year = "2018",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Dec 28 06:46:26 MST 2018",
bibsource = "http://www.fq.math.ca/56-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/56-4/rayaguru.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kafle:2018:TR,
author = "Bir Kafle and Florian Luca and Alain Togb{\'e}",
title = "Triangular Repblocks",
journal = j-FIB-QUART,
volume = "56",
number = "4",
pages = "325--??",
month = nov,
year = "2018",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Dec 28 06:46:26 MST 2018",
bibsource = "http://www.fq.math.ca/56-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/56-4/kafle.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Melham:2018:TPF,
author = "R. S. Melham",
title = "12 Two-Parameter Families of Reciprocal Sums of
Products of the Sine and Cosine Functions",
journal = j-FIB-QUART,
volume = "56",
number = "4",
pages = "329--??",
month = nov,
year = "2018",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Dec 28 06:46:26 MST 2018",
bibsource = "http://www.fq.math.ca/56-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/56-4/melham2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Philippou:2018:SPI,
author = "Andreas N. Philippou and Spiros D. Dafnis",
title = "A Simple Proof of an Identity Generalizing
{Fibonacci--Lucas} Identities",
journal = j-FIB-QUART,
volume = "56",
number = "4",
pages = "334--??",
month = nov,
year = "2018",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Dec 28 06:46:26 MST 2018",
bibsource = "http://www.fq.math.ca/56-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/56-4/philippou.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Yang:2018:PRR,
author = "Sheng-Liang Yang and Yuan-Yuan Gao",
title = "The {Pascal} Rhombus and {Riordan} Arrays",
journal = j-FIB-QUART,
volume = "56",
number = "4",
pages = "337--??",
month = nov,
year = "2018",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Dec 28 06:46:26 MST 2018",
bibsource = "http://www.fq.math.ca/56-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/56-4/yang.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Panraksa:2018:AVL,
author = "Chatchawan Panraksa and Aram Tangboonduangjit",
title = "$p$-adic Valuation of {Lucas} Iteration Sequences",
journal = j-FIB-QUART,
volume = "56",
number = "4",
pages = "348--??",
month = nov,
year = "2018",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Dec 28 06:46:26 MST 2018",
bibsource = "http://www.fq.math.ca/56-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/56-4/panraksa.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hernandez:2018:FNF,
author = "Santos Hern{\'a}ndez Hern{\'a}ndez",
title = "The {Fibonacci} Numbers of the Form $ 2^a \pm 2^b + 1
$",
journal = j-FIB-QUART,
volume = "56",
number = "4",
pages = "354--??",
month = nov,
year = "2018",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Dec 28 06:46:26 MST 2018",
bibsource = "http://www.fq.math.ca/56-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/56-4/hernandez.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Melham:2018:CFFc,
author = "R. S. Melham",
title = "Closed Formulas for Finite Sums of Fractional
Expressions That Involve the Sine and Cosine
Functions",
journal = j-FIB-QUART,
volume = "56",
number = "4",
pages = "360--??",
month = nov,
year = "2018",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Dec 28 06:46:26 MST 2018",
bibsource = "http://www.fq.math.ca/56-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/56-4/melham3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Beardon:2018:FM,
author = "Alan F. Beardon",
title = "{Fibonacci} Matrices",
journal = j-FIB-QUART,
volume = "56",
number = "4",
pages = "363--??",
month = nov,
year = "2018",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Dec 28 06:46:26 MST 2018",
bibsource = "http://www.fq.math.ca/56-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/56-4/beardon.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kwong:2018:EPSd,
author = "Harris Kwong",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "56",
number = "4",
pages = "366--??",
month = nov,
year = "2018",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Dec 28 06:46:26 MST 2018",
bibsource = "http://www.fq.math.ca/56-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/ElemProbSolnNov2018.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2018:APSd,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "56",
number = "4",
pages = "373--??",
month = nov,
year = "2018",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Dec 28 06:46:26 MST 2018",
bibsource = "http://www.fq.math.ca/56-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/Nov2018AdvProbSectREV.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2018:PBPd,
author = "Anonymous",
title = "{Paul Bruckman Prize}",
journal = j-FIB-QUART,
volume = "56",
number = "4",
pages = "380--??",
month = nov,
year = "2018",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Dec 28 06:46:26 MST 2018",
bibsource = "http://www.fq.math.ca/56-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Announcements/bruckmanprizeNov2018.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2018:VI,
author = "Anonymous",
title = "Volume Index",
journal = j-FIB-QUART,
volume = "56",
number = "4",
pages = "381--??",
month = nov,
year = "2018",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Dec 28 06:46:26 MST 2018",
bibsource = "http://www.fq.math.ca/56-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Volume_Index/VolumeIndex2018.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2019:FCAa,
author = "Anonymous",
title = "{Fibonacci Conference} Announcement",
journal = j-FIB-QUART,
volume = "57",
number = "1",
pages = "2--??",
month = feb,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jul 24 11:47:06 MDT 2019",
bibsource = "http://www.fq.math.ca/57-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Announcements/ConfAnnFeb2019.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{BenTaher:2019:SLD,
author = "R. {Ben Taher} and H. Benkhaldoun",
title = "Solving the linear difference equation with periodic
coefficients via {Fibonacci} sequences",
journal = j-LIN-MULT-ALGEBRA,
volume = "67",
number = "12",
pages = "2549--2564",
year = "2019",
CODEN = "LNMLAZ",
DOI = "https://doi.org/10.1080/03081087.2018.1497584",
ISSN = "0308-1087 (print), 1563-5139 (electronic)",
ISSN-L = "0308-1087",
bibdate = "Fri Dec 13 07:49:04 MST 2019",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/linmultalgebra.bib",
acknowledgement = ack-nhfb,
fjournal = "Linear and Multilinear Algebra",
journal-URL = "http://www.tandfonline.com/loi/glma20",
onlinedate = "10 Aug 2018",
}
@Article{Haque:2019:CES,
author = "Sajed Haque and Jeffrey Shallit",
title = "A Class of Exponential Sequences with Shift-Invariant
Discriminators",
journal = j-FIB-QUART,
volume = "57",
number = "1",
pages = "3--??",
month = feb,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jul 24 11:47:06 MDT 2019",
bibsource = "http://www.fq.math.ca/57-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/57-1/haque.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Larcombe:2019:NLR,
author = "Peter J. Larcombe and Eric J. Fennessey",
title = "A Non-Linear Recurrence Identity Class for Terms of a
Generalized Linear Recurrence Sequence of Degree
Three",
journal = j-FIB-QUART,
volume = "57",
number = "1",
pages = "10--??",
month = feb,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jul 24 11:47:06 MDT 2019",
bibsource = "http://www.fq.math.ca/57-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/57-1/larcombe.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Alperin:2019:CPS,
author = "Roger C. Alperin",
title = "{$A$-Cassini} Polynomial Sequences and Applications",
journal = j-FIB-QUART,
volume = "57",
number = "1",
pages = "14--??",
month = feb,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jul 24 11:47:06 MDT 2019",
bibsource = "http://www.fq.math.ca/57-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/57-1/alperin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Habsieger:2019:EBD,
author = "Laurent Habsieger",
title = "Explicit Bounds for the {Diophantine} Equation {$ A!
B! = C! $}",
journal = j-FIB-QUART,
volume = "57",
number = "1",
pages = "21--??",
month = feb,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jul 24 11:47:06 MDT 2019",
bibsource = "http://www.fq.math.ca/57-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/57-1/habsieger.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Benjamin:2019:UTP,
author = "Arthur T. Benjamin and Joshua Crouch and James A.
Sellers",
title = "Unified Tiling Proofs of a Family of {Fibonacci}
Identities",
journal = j-FIB-QUART,
volume = "57",
number = "1",
pages = "29--??",
month = feb,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jul 24 11:47:06 MDT 2019",
bibsource = "http://www.fq.math.ca/57-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/57-1/benjamin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Zielinski:2019:FB,
author = "Ryan Zielinski",
title = "{Faulhaber} and {Bernoulli}",
journal = j-FIB-QUART,
volume = "57",
number = "1",
pages = "32--??",
month = feb,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jul 24 11:47:06 MDT 2019",
bibsource = "http://www.fq.math.ca/57-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/57-1/zielinski.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wadsanthat:2019:DCL,
author = "Atsanon Wadsanthat and Chatchawan Panraksa",
title = "Distribution of Cycle Lengths of a Quadratic Map Over
Finite Fields of Characteristic 2",
journal = j-FIB-QUART,
volume = "57",
number = "1",
pages = "35--??",
month = feb,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jul 24 11:47:06 MDT 2019",
bibsource = "http://www.fq.math.ca/57-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/57-1/wadsanthat.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gil:2019:GMM,
author = "Juan B. Gil and Aaron Worley",
title = "Generalized Metallic Means",
journal = j-FIB-QUART,
volume = "57",
number = "1",
pages = "45--??",
month = feb,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jul 24 11:47:06 MDT 2019",
bibsource = "http://www.fq.math.ca/57-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/57-1/gil.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Jones:2019:PSB,
author = "Lenny Jones and Lawrence Somer",
title = "Primefree Shifted Binary Linear Recurrence Sequences",
journal = j-FIB-QUART,
volume = "57",
number = "1",
pages = "51--??",
month = feb,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jul 24 11:47:06 MDT 2019",
bibsource = "http://www.fq.math.ca/57-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/57-1/jones.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Koshkin:2019:NCL,
author = "Sergiy Koshkin",
title = "Non-classical Linear Divisibility Sequences and
Cyclotomic Polynomials",
journal = j-FIB-QUART,
volume = "57",
number = "1",
pages = "68--??",
month = feb,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jul 24 11:47:06 MDT 2019",
bibsource = "http://www.fq.math.ca/57-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/57-1/koshkin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kwong:2019:EPSa,
author = "Harris Kwong",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "57",
number = "1",
pages = "81--??",
month = feb,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jul 24 11:47:06 MDT 2019",
bibsource = "http://www.fq.math.ca/57-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/February2019Elem.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2019:APSa,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "57",
number = "1",
pages = "89--??",
month = feb,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jul 24 11:47:06 MDT 2019",
bibsource = "http://www.fq.math.ca/57-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/February2019AdvancedREV.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2019:PBPa,
author = "Anonymous",
title = "{Paul Bruckman Prize}",
journal = j-FIB-QUART,
volume = "57",
number = "1",
pages = "96--??",
month = feb,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jul 24 11:47:06 MDT 2019",
bibsource = "http://www.fq.math.ca/57-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Announcements/bruckmanprizeFeb2019.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2019:FCAb,
author = "Anonymous",
title = "{Fibonacci Conference} Announcement",
journal = j-FIB-QUART,
volume = "57",
number = "2",
pages = "98--??",
month = may,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jul 24 11:47:08 MDT 2019",
bibsource = "http://www.fq.math.ca/57-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Announcements/ConfAnnMay2019.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Koshy:2019:JJL,
author = "Thomas Koshy",
title = "{Jacobsthal} and {Jacobsthal--Lucas} Walks",
journal = j-FIB-QUART,
volume = "57",
number = "2",
pages = "99--??",
month = may,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jul 24 11:47:08 MDT 2019",
bibsource = "http://www.fq.math.ca/57-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/57-2/koshy1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gueganic:2019:LDG,
author = "Alexandre Gueganic and Granger Carty and Yujin H. Kim
and Steven J. Miller and Alina Shubina and Shannon
Sweitzer and Eric Winsor and Jianing Yang",
title = "Limiting Distributions in Generalized {Zeckendorf}
Decompositions",
journal = j-FIB-QUART,
volume = "57",
number = "2",
pages = "109--??",
month = may,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jul 24 11:47:08 MDT 2019",
bibsource = "http://www.fq.math.ca/57-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/57-2/gueganic.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Aursukaree:2019:GHI,
author = "Saralee Aursukaree and Tammatada Khemaratchatakumthorn
and Prapanpong Pongsriiam",
title = "Generalizations of {Hermite}'s Identity and
Applications",
journal = j-FIB-QUART,
volume = "57",
number = "2",
pages = "126--??",
month = may,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jul 24 11:47:08 MDT 2019",
bibsource = "http://www.fq.math.ca/57-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/57-2/aursukaree.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Sahukar:2019:REF,
author = "M. K. Sahukar and G. K. Panda",
title = "Repdigits in {Euler} Functions of {Pell} Numbers",
journal = j-FIB-QUART,
volume = "57",
number = "2",
pages = "134--??",
month = may,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jul 24 11:47:08 MDT 2019",
bibsource = "http://www.fq.math.ca/57-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/57-2/sahukar.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Koshy:2019:RGC,
author = "Thomas Koshy",
title = "A Recurrence for {Gibonacci} Cubes with
Graph-Theoretic Confirmations",
journal = j-FIB-QUART,
volume = "57",
number = "2",
pages = "139--??",
month = may,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jul 24 11:47:08 MDT 2019",
bibsource = "http://www.fq.math.ca/57-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/57-2/koshy2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Brison:2019:LRS,
author = "Owen J. Brison and J. Eurico Nogueira",
title = "Linear Recurring Sequence Subgroups in the Complex
Field --- {II}",
journal = j-FIB-QUART,
volume = "57",
number = "2",
pages = "148--??",
month = may,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jul 24 11:47:08 MDT 2019",
bibsource = "http://www.fq.math.ca/57-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/57-2/brison.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Spreafico:2019:FFS,
author = "Elen Viviani Pereira Spreafico and Mustapha Rachidi",
title = "{Fibonacci} Fundamental System and Generalized
{Cassini} Identity",
journal = j-FIB-QUART,
volume = "57",
number = "2",
pages = "155--??",
month = may,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jul 24 11:47:08 MDT 2019",
bibsource = "http://www.fq.math.ca/57-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/57-2/spreafico.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Schumacher:2019:HSS,
author = "Raphael Schumacher",
title = "How to Sum the Squares of the {Tetranacci} Numbers and
the {Fibonacci} $m$-Step Numbers",
journal = j-FIB-QUART,
volume = "57",
number = "2",
pages = "168--??",
month = may,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jul 24 11:47:08 MDT 2019",
bibsource = "http://www.fq.math.ca/57-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/57-2/schumacher.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kwong:2019:EPSb,
author = "Harris Kwong",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "57",
number = "2",
pages = "176--??",
month = may,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jul 24 11:47:08 MDT 2019",
bibsource = "http://www.fq.math.ca/57-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/ElemProbMay2019.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2019:APSb,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "57",
number = "2",
pages = "184--??",
month = may,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jul 24 11:47:08 MDT 2019",
bibsource = "http://www.fq.math.ca/57-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/AdvProbMay2019.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2019:PBPb,
author = "Anonymous",
title = "{Paul Bruckman Prize}",
journal = j-FIB-QUART,
volume = "57",
number = "2",
pages = "192--??",
month = may,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jul 24 11:47:08 MDT 2019",
bibsource = "http://www.fq.math.ca/57-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Announcements/bruckmanprize2019.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2019:FCAc,
author = "Anonymous",
title = "{Fibonacci} Conference Announcement",
journal = j-FIB-QUART,
volume = "57",
number = "3",
pages = "194--??",
month = aug,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:47 MST 2019",
bibsource = "http://www.fq.math.ca/57-3.html; https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Announcements/ConfAnnAug2019.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Angelini:2019:C,
author = "{\'E}ric Angelini and Lars Blomberg and Charlie Neder
and R{\'e}my Sigrist and N. J. A. Sloane",
title = "``{Choix de Bruxelles}'': A New Operation on Positive
Integers",
journal = j-FIB-QUART,
volume = "57",
number = "3",
pages = "195--??",
month = aug,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:47 MST 2019",
bibsource = "http://www.fq.math.ca/57-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/57-3/angelini.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Chen:2019:GBZ,
author = "Eric Chen and Robin Chen and Lucy Guo and Cindy Jiang
and Steven J. Miller and Joshua M. Siktar and Peter
Yu",
title = "{Gaussian} Behavior in {Zeckendorf} Decompositions
from Lattices",
journal = j-FIB-QUART,
volume = "57",
number = "3",
pages = "201--??",
month = aug,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:47 MST 2019",
bibsource = "http://www.fq.math.ca/57-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/57-3/chen.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Li:2019:CLT,
author = "Ray Li and Steven J. Miller",
title = "Central Limit Theorems for Gaps of Generalized
{Zeckendorf} Decompositions",
journal = j-FIB-QUART,
volume = "57",
number = "3",
pages = "213--??",
month = aug,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:47 MST 2019",
bibsource = "http://www.fq.math.ca/57-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/57-3/li.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rayaguru:2019:RPB,
author = "Sai Gopal Rayaguru and Gopal Krishna Panda",
title = "Repdigits as Products of Balancing and
{Lucas}-Balancing Numbers With Indices in Arithmetic
Progression",
journal = j-FIB-QUART,
volume = "57",
number = "3",
pages = "231--??",
month = aug,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:47 MST 2019",
bibsource = "http://www.fq.math.ca/57-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/57-3/rayaguru.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Goy:2019:ONT,
author = "Taras Goy and Roman Zatorsky",
title = "On {Oresme} Numbers and Their Connection with
{Fibonacci} and {Pell} Numbers",
journal = j-FIB-QUART,
volume = "57",
number = "3",
pages = "238--??",
month = aug,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:47 MST 2019",
bibsource = "http://www.fq.math.ca/57-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/57-3/goy.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Jaidee:2019:AFF,
author = "Montree Jaidee and Prapanpong Pongsriiam",
title = "Arithmetic Functions of {Fibonacci} and {Lucas}
Numbers",
journal = j-FIB-QUART,
volume = "57",
number = "3",
pages = "246--??",
month = aug,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:47 MST 2019",
bibsource = "http://www.fq.math.ca/57-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/57-3/jaidee.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2019:DER,
author = "Florian Luca and Sibusiso Mabaso",
title = "{Diophantine} Equations with the {Ramanujan} $ \tau $
Function of Factorials, {Fibonacci} Numbers, and
{Catalan} Numbers",
journal = j-FIB-QUART,
volume = "57",
number = "3",
pages = "255--??",
month = aug,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:47 MST 2019",
bibsource = "http://www.fq.math.ca/57-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/57-3/luca.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Yamagishi:2019:SPC,
author = "Masakazu Yamagishi",
title = "A Short Proof of Congruences for {Lucas} Sequences",
journal = j-FIB-QUART,
volume = "57",
number = "3",
pages = "260--??",
month = aug,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:47 MST 2019",
bibsource = "http://www.fq.math.ca/57-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/57-3/yamagishi.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ballot:2019:AVL,
author = "Christian Ballot",
title = "The $p$-adic Valuation of {Lucas} Sequences When $p$
Is a Special Prime",
journal = j-FIB-QUART,
volume = "57",
number = "3",
pages = "265--??",
month = aug,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:47 MST 2019",
bibsource = "http://www.fq.math.ca/57-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "See errata \cite{Ballot:2019:EPA}.",
URL = "http://www.fq.math.ca/Abstracts/57-3/ballot.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kwong:2019:EPSc,
author = "Harris Kwong",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "57",
number = "3",
pages = "276--??",
month = aug,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:47 MST 2019",
bibsource = "http://www.fq.math.ca/57-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/ElemProSolnAugust2019.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2019:APSc,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "57",
number = "3",
pages = "283--??",
month = aug,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:47 MST 2019",
bibsource = "http://www.fq.math.ca/57-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/August2019AdvancedRevRev.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2019:PBPc,
author = "Anonymous",
title = "{Paul Bruckman Prize}",
journal = j-FIB-QUART,
volume = "57",
number = "3",
pages = "288--??",
month = aug,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:47 MST 2019",
bibsource = "http://www.fq.math.ca/57-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Announcements/bruckmanprizeAug2019.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2019:FCAd,
author = "Anonymous",
title = "{Fibonacci Conference} Announcement",
journal = j-FIB-QUART,
volume = "57",
number = "4",
pages = "290--??",
month = nov,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:49 MST 2019",
bibsource = "http://www.fq.math.ca/57-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Announcements/ConfAnnNov2019.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Tedford:2019:CIP,
author = "Steven J. Tedford",
title = "Combinatorial Identities for the {Padovan} Numbers",
journal = j-FIB-QUART,
volume = "57",
number = "4",
pages = "291--??",
month = nov,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:49 MST 2019",
bibsource = "http://www.fq.math.ca/57-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/57-4/tedford1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rachmilevitch:2019:AOB,
author = "Shiran Rachmilevitch",
title = "Alternating Offers Bargaining and the Golden Ratio",
journal = j-FIB-QUART,
volume = "57",
number = "4",
pages = "299--??",
month = nov,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:49 MST 2019",
bibsource = "http://www.fq.math.ca/57-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/57-4/rachmilevitch.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Koshy:2019:SEG,
author = "Thomas Koshy",
title = "Some Extended {Gibonacci} Polynomial Sums with
Dividends",
journal = j-FIB-QUART,
volume = "57",
number = "4",
pages = "303--??",
month = nov,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:49 MST 2019",
bibsource = "http://www.fq.math.ca/57-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/57-4/koshy1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Prodinger:2019:SST,
author = "Helmut Prodinger and Sarah J. Selkirk",
title = "Sums of Squares of {Tetranacci} Numbers: A Generating
Function Approach",
journal = j-FIB-QUART,
volume = "57",
number = "4",
pages = "313--??",
month = nov,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:49 MST 2019",
bibsource = "http://www.fq.math.ca/57-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/57-4/prodinger.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Alperin:2019:FNR,
author = "Roger C. Alperin",
title = "A Family of Nonlinear Recurrences and Their Linear
Solutions",
journal = j-FIB-QUART,
volume = "57",
number = "4",
pages = "318--??",
month = nov,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:49 MST 2019",
bibsource = "http://www.fq.math.ca/57-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/57-4/alperin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Koshy:2019:POD,
author = "Thomas Koshy and Zhenguang Gao",
title = "Periodicity of Ones Digits in {Jacobsthal} Numbers
with Triangular and {Jacobsthal} Subscripts",
journal = j-FIB-QUART,
volume = "57",
number = "4",
pages = "322--??",
month = nov,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:49 MST 2019",
bibsource = "http://www.fq.math.ca/57-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/57-4/koshy2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Delo:2019:ETR,
author = "Ben Delo and Filip Saidak",
title = "{Euclid's Theorem} Redux",
journal = j-FIB-QUART,
volume = "57",
number = "4",
pages = "331--??",
month = nov,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:49 MST 2019",
bibsource = "http://www.fq.math.ca/57-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/57-4/delo.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Yang:2019:PPR,
author = "Lin Yang and Sheng-Liang Yang",
title = "The Parametric {Pascal} Rhombus",
journal = j-FIB-QUART,
volume = "57",
number = "4",
pages = "337--??",
month = nov,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:49 MST 2019",
bibsource = "http://www.fq.math.ca/57-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/57-4/yang.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Tedford:2019:FG,
author = "Steven J. Tedford",
title = "{Fibonacci} Graphs",
journal = j-FIB-QUART,
volume = "57",
number = "4",
pages = "347--??",
month = nov,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:49 MST 2019",
bibsource = "http://www.fq.math.ca/57-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/57-4/tedford2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Panda:2019:TLN,
author = "Gopal Krishna Panda and Sushree Sangeeta Pradhan",
title = "Triangular-Like Numbers That Are Triangular",
journal = j-FIB-QUART,
volume = "57",
number = "4",
pages = "356--??",
month = nov,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:49 MST 2019",
bibsource = "http://www.fq.math.ca/57-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/57-4/panda.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Altassan:2019:CPF,
author = "Alaa Altassan and Florian Luca",
title = "On a Curious Property of {$ F_{184} $}",
journal = j-FIB-QUART,
volume = "57",
number = "4",
pages = "363--??",
month = nov,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:49 MST 2019",
bibsource = "http://www.fq.math.ca/57-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/57-4/altassan.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ballot:2019:EPA,
author = "Christian Ballot",
title = "Errata --- {The $p$-adic Valuation of Lucas Sequences
When $p$ Is a Special Prime}",
journal = j-FIB-QUART,
volume = "57",
number = "4",
pages = "366--??",
month = nov,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:49 MST 2019",
bibsource = "http://www.fq.math.ca/57-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "See \cite{Ballot:2019:AVL}.",
URL = "http://www.fq.math.ca/Papers/57-4/errata09212019.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kwong:2019:EPSd,
author = "Harris Kwong",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "57",
number = "4",
pages = "367--??",
month = nov,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:49 MST 2019",
bibsource = "http://www.fq.math.ca/57-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/ElemProbSolnNov2019.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2019:APSd,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "57",
number = "4",
pages = "373--??",
month = nov,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:49 MST 2019",
bibsource = "http://www.fq.math.ca/57-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/Nov2019AdvProb.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2019:PBPd,
author = "Anonymous",
title = "{Paul Bruckman Prize}",
journal = j-FIB-QUART,
volume = "57",
number = "4",
pages = "380--??",
month = nov,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:49 MST 2019",
bibsource = "http://www.fq.math.ca/57-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Announcements/bruckmanprizeNov2019.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2019:VI,
author = "Anonymous",
title = "Volume Index",
journal = j-FIB-QUART,
volume = "57",
number = "4",
pages = "381--??",
month = nov,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:49 MST 2019",
bibsource = "http://www.fq.math.ca/57-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Volume_Index/VolumeIndex2019.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bicknell-Johnson:2019:CR,
author = "Marjorie Bicknell-Johnson",
title = "Conference Report",
journal = j-FIB-QUART,
volume = "57",
number = "5",
pages = "i--??",
month = dec,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:51 MST 2019",
bibsource = "http://www.fq.math.ca/57-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/57-5/ConferenceReport.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Baird-Smith:2019:GZG,
author = "Paul Baird-Smith and Alyssa Epstein and Kristen Flint
and Steven J. Miller",
title = "The Generalized {Zeckendorf} Game",
journal = j-FIB-QUART,
volume = "57",
number = "5",
pages = "1--??",
month = dec,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:51 MST 2019",
bibsource = "http://www.fq.math.ca/57-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/57-5/bairdsmith.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Blair:2019:MHT,
author = "Matthew Blair and Rigoberto Fl{\'o}rez and Antara
Mukherjee",
title = "Matrices in the {Hosoya} Triangle",
journal = j-FIB-QUART,
volume = "57",
number = "5",
pages = "15--??",
month = dec,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:51 MST 2019",
bibsource = "http://www.fq.math.ca/57-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/57-5/blair.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Boman:2019:GBP,
author = "Bruce M. Boman and Yihan Ye and Keith Decker and
Christopher Raymond and Gilberto Schleiniger",
title = "Geometric Branching Patterns based on $p$-{Fibonacci}
Sequences: Self-similarity Across Different Degrees of
Branching and Multiple Dimensions",
journal = j-FIB-QUART,
volume = "57",
number = "5",
pages = "29--??",
month = dec,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:51 MST 2019",
bibsource = "http://www.fq.math.ca/57-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/57-5/boman.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cooper:2019:SHD,
author = "Curtis Cooper",
title = "Some High Degree Generalized {Fibonacci} Identities",
journal = j-FIB-QUART,
volume = "57",
number = "5",
pages = "42--??",
month = dec,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:51 MST 2019",
bibsource = "http://www.fq.math.ca/57-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/57-5/cooper.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Edwards:2019:NCI,
author = "Kenneth Edwards and Michael A. Allen",
title = "A new combinatorial interpretation of the {Fibonacci}
numbers squared",
journal = j-FIB-QUART,
volume = "57",
number = "5",
pages = "48--??",
month = dec,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:51 MST 2019",
bibsource = "http://www.fq.math.ca/57-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/57-5/edwards.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hendel:2019:PTH,
author = "Russell Jay Hendel",
title = "Proof of the {Tagiuri Histogram Conjecture}",
journal = j-FIB-QUART,
volume = "57",
number = "5",
pages = "54--??",
month = dec,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:51 MST 2019",
bibsource = "http://www.fq.math.ca/57-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/57-5/hendel.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Herrmann:2019:HIS,
author = "Burghard Herrmann",
title = "How Integer Sequences Find Their Way Into Areas
Outside Pure Mathematics",
journal = j-FIB-QUART,
volume = "57",
number = "5",
pages = "67--??",
month = dec,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:51 MST 2019",
bibsource = "http://www.fq.math.ca/57-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/57-5/herrmann.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hinz:2019:DFN,
author = "Andreas M. Hinz and Paul K. Stockmeyer",
title = "Discovering {Fibonacci} Numbers, {Fibonacci} Words,
and a {Fibonacci} Fractal in the {Tower of Hanoi}",
journal = j-FIB-QUART,
volume = "57",
number = "5",
pages = "72--??",
month = dec,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:51 MST 2019",
bibsource = "http://www.fq.math.ca/57-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/57-5/hinz.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Jiu:2019:CCH,
author = "Lin Jiu and Christophe Vignat",
title = "Connection Coefficients for Higher-order {Bernoulli}
and {Euler} Polynomials: A Random Walk Approach",
journal = j-FIB-QUART,
volume = "57",
number = "5",
pages = "84--??",
month = dec,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:51 MST 2019",
bibsource = "http://www.fq.math.ca/57-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/57-5/jiu.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kimberling:2019:LCE,
author = "Clark Kimberling and Peter J. C. Moses",
title = "Linear Complementary Equations and Systems",
journal = j-FIB-QUART,
volume = "57",
number = "5",
pages = "96--??",
month = dec,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:51 MST 2019",
bibsource = "http://www.fq.math.ca/57-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/57-5/kimberling.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Northshield:2019:RCR,
author = "Sam Northshield",
title = "{$ \Re^3 $} counting the Rationals",
journal = j-FIB-QUART,
volume = "57",
number = "5",
pages = "111--129",
month = dec,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:51 MST 2019",
bibsource = "http://www.fq.math.ca/57-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/57-5/northshield.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Pongsriiam:2019:FLN,
author = "Prapanpong Pongsriiam",
title = "{Fibonacci} and {Lucas} Numbers which have Exactly
Three Prime Factors and Some Unique Properties of {$
F_{18} $} and {$ L_{18} $}",
journal = j-FIB-QUART,
volume = "57",
number = "5",
pages = "130--??",
month = dec,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:51 MST 2019",
bibsource = "http://www.fq.math.ca/57-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/57-5/pongsriiam.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Thanatipanonda:2019:SDT,
author = "Thotsaporn ``Aek'' Thanatipanonda",
title = "Statistics of Domino Tilings on a Rectangular Board",
journal = j-FIB-QUART,
volume = "57",
number = "5",
pages = "145--??",
month = dec,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:51 MST 2019",
bibsource = "http://www.fq.math.ca/57-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/57-5/thanatipanonda.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Young:2019:GSZ,
author = "Paul Thomas Young",
title = "Global series for zeta functions",
journal = j-FIB-QUART,
volume = "57",
number = "5",
pages = "154--??",
month = dec,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:51 MST 2019",
bibsource = "http://www.fq.math.ca/57-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/57-5/young.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kimberling:2019:PS,
author = "Clark Kimberling",
title = "Problem Section",
journal = j-FIB-QUART,
volume = "57",
number = "5",
pages = "170--??",
month = dec,
year = "2019",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Nov 25 10:05:51 MST 2019",
bibsource = "http://www.fq.math.ca/57-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/57-5/problems.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2020:FCAa,
author = "Anonymous",
title = "{Fibonacci} Conference Announcement",
journal = j-FIB-QUART,
volume = "58",
number = "1",
pages = "2--??",
month = feb,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Apr 24 14:02:43 MDT 2020",
bibsource = "http://www.fq.math.ca/58-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Announcements/ConfAnnFeb2020Rev.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Patra:2020:PIS,
author = "Asim Patra and G. K. Panda",
title = "Positive Integer Solutions of Some {Diophantine}
Equations Involving {Lucas}-Balancing Numbers",
journal = j-FIB-QUART,
volume = "58",
number = "1",
pages = "3--??",
month = feb,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Apr 24 14:02:43 MDT 2020",
bibsource = "http://www.fq.math.ca/58-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/58-1/patra.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ddamulira:2020:CPE,
author = "Mahadi Ddamulira",
title = "On the $x$-Coordinates of {Pell} Equations That Are
Products of Two {Lucas} Numbers",
journal = j-FIB-QUART,
volume = "58",
number = "1",
pages = "18--??",
month = feb,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Apr 24 14:02:43 MDT 2020",
bibsource = "http://www.fq.math.ca/58-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/58-1/ddamulira.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Dekking:2020:BPR,
author = "F. Michel Dekking",
title = "Base Phi Representations and {Golden} Mean
Beta-Expansions",
journal = j-FIB-QUART,
volume = "58",
number = "1",
pages = "38--??",
month = feb,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Apr 24 14:02:43 MDT 2020",
bibsource = "http://www.fq.math.ca/58-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/58-1/dekking.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bautista-Ramos:2020:IPF,
author = "C{\'e}sar Bautista-Ramos and Carlos
Guill{\'e}n-Galv{\'a}n and Paulino G{\'o}mez-Salgado",
title = "Independence Polynomials of {Fibonacci} Trees Are
Log-Concave",
journal = j-FIB-QUART,
volume = "58",
number = "1",
pages = "49--??",
month = feb,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Apr 24 14:02:43 MDT 2020",
bibsource = "http://www.fq.math.ca/58-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/58-1/bautista.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Somer:2020:ICA,
author = "Lawrence Somer and Michal K{\v{r}}{\'\i}{\v{z}}ek",
title = "Iteration of Certain Arithmetical Functions of
Particular {Lucas} Sequences",
journal = j-FIB-QUART,
volume = "58",
number = "1",
pages = "55--??",
month = feb,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Apr 24 14:02:43 MDT 2020",
bibsource = "http://www.fq.math.ca/58-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/58-1/somer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Florez:2020:APP,
author = "Rigoberto Fl{\o}rez and Robinson A. Higuita",
title = "Another Proof for Partial Strong Divisibility Property
of {Lucas}-Type Polynomials",
journal = j-FIB-QUART,
volume = "58",
number = "1",
pages = "70--??",
month = feb,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Apr 24 14:02:43 MDT 2020",
bibsource = "http://www.fq.math.ca/58-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/58-1/florez.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{LitadaSilva:2020:SLR,
author = "Jo{\~a}o {Lita da Silva}",
title = "On Some Linear Recurrences",
journal = j-FIB-QUART,
volume = "58",
number = "1",
pages = "73--??",
month = feb,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Apr 24 14:02:43 MDT 2020",
bibsource = "http://www.fq.math.ca/58-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/58-1/dasilva.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Aursukaree:2020:CGH,
author = "Saralee Aursukaree and Tammatada Khemaratchatakumthorn
and Prapanpong Pongsriiam",
title = "Corrigendum to {Generalizations of Hermite's Identity
and Applications}",
journal = j-FIB-QUART,
volume = "58",
number = "1",
pages = "80--??",
month = feb,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Apr 24 14:02:43 MDT 2020",
bibsource = "http://www.fq.math.ca/58-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers/58-1/PongsriiamCorrigendum11102019.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kwong:2020:EPSa,
author = "Harris Kwong",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "58",
number = "1",
pages = "81--??",
month = feb,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Apr 24 14:02:43 MDT 2020",
bibsource = "http://www.fq.math.ca/58-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/February2020Elem.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2020:APSa,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "58",
number = "1",
pages = "89--??",
month = feb,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Apr 24 14:02:43 MDT 2020",
bibsource = "http://www.fq.math.ca/58-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/February2020AdvancedRev.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2020:PBPa,
author = "Anonymous",
title = "{Paul Bruckman Prize}",
journal = j-FIB-QUART,
volume = "58",
number = "1",
pages = "96--??",
month = feb,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Apr 24 14:02:43 MDT 2020",
bibsource = "http://www.fq.math.ca/58-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Announcements/bruckmanprizeFeb2020.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2020:FCAb,
author = "Anonymous",
title = "{Fibonacci} Conference Announcement",
journal = j-FIB-QUART,
volume = "58",
number = "2",
pages = "98--??",
month = may,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri May 29 06:56:46 MDT 2020",
bibsource = "http://www.fq.math.ca/58-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Announcements/ConfAnnMay2020.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Azose:2020:TIB,
author = "Jonathan J. Azose and Arthur T. Benjamin",
title = "A Tiling Interpretation of the $q$-Binomial
Coefficients",
journal = j-FIB-QUART,
volume = "58",
number = "2",
pages = "99--??",
month = may,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri May 29 06:56:46 MDT 2020",
bibsource = "http://www.fq.math.ca/58-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/58-2/azose.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Dular:2020:CSI,
author = "Bruno Dular",
title = "Cycles of Sums of Integers",
journal = j-FIB-QUART,
volume = "58",
number = "2",
pages = "126--??",
month = may,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri May 29 06:56:46 MDT 2020",
bibsource = "http://www.fq.math.ca/58-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/58-2/dular.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Alperin:2020:NRR,
author = "Roger C. Alperin",
title = "A Nonlinear Recurrence and Its Relations to
{Chebyshev} Polynomials",
journal = j-FIB-QUART,
volume = "58",
number = "2",
pages = "140--??",
month = may,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri May 29 06:56:46 MDT 2020",
bibsource = "http://www.fq.math.ca/58-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/58-2/alperin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Borade:2020:GSZ,
author = "Neelima Borade and Dexter Cai and David Z. Chang and
Bruce Fang and Alex Liang and Steven J. Miller and
Wanqiao Xu",
title = "Gaps of Summands of the {Zeckendorf} Lattice",
journal = j-FIB-QUART,
volume = "58",
number = "2",
pages = "143--??",
month = may,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri May 29 06:56:46 MDT 2020",
bibsource = "http://www.fq.math.ca/58-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/58-2/borade.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Miller:2020:FQG,
author = "Steven J. Miller and Alexandra Newlon",
title = "The {Fibonacci} Quilt Game",
journal = j-FIB-QUART,
volume = "58",
number = "2",
pages = "157--??",
month = may,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri May 29 06:56:46 MDT 2020",
bibsource = "http://www.fq.math.ca/58-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/58-2/miller.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Edwards:2020:NCIa,
author = "Kenneth Edwards and Michael A. Allen",
title = "A New Combinatorial Interpretation of the {Fibonacci}
Numbers Squared. {Part II}",
journal = j-FIB-QUART,
volume = "58",
number = "2",
pages = "169--??",
month = may,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri May 29 06:56:46 MDT 2020",
bibsource = "http://www.fq.math.ca/58-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/58-2/edwards.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kwong:2020:EPSb,
author = "Harris Kwong",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "58",
number = "2",
pages = "178--??",
month = may,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri May 29 06:56:46 MDT 2020",
bibsource = "http://www.fq.math.ca/58-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/ElemProbMay2020.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2020:APSb,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "58",
number = "2",
pages = "185--??",
month = may,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri May 29 06:56:46 MDT 2020",
bibsource = "http://www.fq.math.ca/58-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/AdvProbMay2020.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2020:PBPb,
author = "Anonymous",
title = "The {Paul Bruckman Prize}",
journal = j-FIB-QUART,
volume = "58",
number = "2",
pages = "192--??",
month = may,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri May 29 06:56:46 MDT 2020",
bibsource = "http://www.fq.math.ca/58-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Announcements/bruckmanprizeMay2020.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Schumacher:2020:EFS,
author = "Raphael Schumacher",
title = "Explicit Formulas for Sums Involving the Squares of
the First $n$ {Tribonacci} Numbers",
journal = j-FIB-QUART,
volume = "58",
number = "3",
pages = "194--??",
month = aug,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Sep 18 09:01:52 MDT 2020",
bibsource = "http://www.fq.math.ca/58-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/58-3/schumacher.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Shutov:2020:SDZ,
author = "Anton Shutov",
title = "On the Sum of Digits of the {Zeckendorf}
Representations of Two Consecutive Numbers",
journal = j-FIB-QUART,
volume = "58",
number = "3",
pages = "203--??",
month = aug,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Sep 18 09:01:52 MDT 2020",
bibsource = "http://www.fq.math.ca/58-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/58-3/shutov.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Fang:2020:CLT,
author = "Evan Fang and Jonathan Jenkins and Zack Lee and Daniel
Li and Ethan Lu and Steven J. Miller and Dilhan Salgado
and Joshua M. Siktar",
title = "Central Limit Theorems for Compound Paths on the
Two-Dimensional Lattice",
journal = j-FIB-QUART,
volume = "58",
number = "3",
pages = "208--??",
month = aug,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Sep 18 09:01:52 MDT 2020",
bibsource = "http://www.fq.math.ca/58-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/58-3/fang.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kafle:2020:MEP,
author = "Bir Kafle and Anitha Srinivasan and Alain Togb{\'e}",
title = "{Markoff} Equation with {Pell} Components",
journal = j-FIB-QUART,
volume = "58",
number = "3",
pages = "226--??",
month = aug,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Sep 18 09:01:52 MDT 2020",
bibsource = "http://www.fq.math.ca/58-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/58-3/kafle.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Larsen:2020:FSS,
author = "Daniel Larsen",
title = "Focusing Sequences and Self-Similarity",
journal = j-FIB-QUART,
volume = "58",
number = "3",
pages = "231--??",
month = aug,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Sep 18 09:01:52 MDT 2020",
bibsource = "http://www.fq.math.ca/58-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/58-3/larsen.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Koshy:2020:EGSa,
author = "Thomas Koshy",
title = "Extended {Gibonacci} Sums of Polynomial Products of
Order $3$",
journal = j-FIB-QUART,
volume = "58",
number = "3",
pages = "241--??",
month = aug,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Sep 18 09:01:52 MDT 2020",
bibsource = "http://www.fq.math.ca/58-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/58-3/koshy.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Chu:2020:HOF,
author = "H{\`u}ng Vi{\d{{\^e}}}t Chu and Steven J. Miller and
Zimu Xiang",
title = "Higher Order {Fibonacci} Sequences from Generalized
{Schreier} Sets",
journal = j-FIB-QUART,
volume = "58",
number = "3",
pages = "249--??",
month = aug,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Sep 18 09:01:52 MDT 2020",
bibsource = "http://www.fq.math.ca/58-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/58-3/chu.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rihane:2020:PTG,
author = "Salah Eddine Rihane and Bernadette Faye and Florian
Luca and Alain Togb{\'e}",
title = "Powers of Two in Generalized {Lucas} Sequences",
journal = j-FIB-QUART,
volume = "58",
number = "3",
pages = "254--??",
month = aug,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Sep 18 09:01:52 MDT 2020",
bibsource = "http://www.fq.math.ca/58-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/58-3/rihane.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Givens:2020:IFP,
author = "Berit Givens and Victor H. Moll",
title = "Integrals of {Fibonacci} Polynomials and Their
Valuations",
journal = j-FIB-QUART,
volume = "58",
number = "3",
pages = "261--??",
month = aug,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Sep 18 09:01:52 MDT 2020",
bibsource = "http://www.fq.math.ca/58-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/58-3/givens.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kwong:2020:EPSc,
author = "Harris Kwong",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "58",
number = "3",
pages = "274--??",
month = aug,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Sep 18 09:01:52 MDT 2020",
bibsource = "http://www.fq.math.ca/58-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/ElemProSolnAugust2020.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2020:APSc,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "58",
number = "3",
pages = "281--??",
month = aug,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Sep 18 09:01:52 MDT 2020",
bibsource = "http://www.fq.math.ca/58-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/August2020AdvancedProblems.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2020:PBPc,
author = "Anonymous",
title = "The {Paul Bruckman Prize}",
journal = j-FIB-QUART,
volume = "58",
number = "3",
pages = "288--??",
month = aug,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Sep 18 09:01:52 MDT 2020",
bibsource = "http://www.fq.math.ca/58-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Announcements/bruckmanprizeAug2020.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Johnson:2020:RIC,
author = "Marjorie Bicknell Johnson",
title = "A Report on the {19th International Conference on
Fibonacci Numbers and Their Applications}",
journal = j-FIB-QUART,
volume = "58",
number = "4",
pages = "290--??",
month = nov,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Jan 7 13:21:46 MST 2021",
bibsource = "http://www.fq.math.ca/58-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Announcements/ConferenceReport08082020.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Koshy:2020:EGSb,
author = "Thomas Koshy and Zhenguang Gao",
title = "Extended {Gibonacci} Sums of Polynomial Products of
Order 3 Revisited",
journal = j-FIB-QUART,
volume = "58",
number = "4",
pages = "291--??",
month = nov,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Jan 7 13:21:46 MST 2021",
bibsource = "http://www.fq.math.ca/58-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/58-4/koshy.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Davis:2020:FCA,
author = "Robert Davis and Greg Simay",
title = "Further Combinatorics and Applications of Two-toned
Tilings",
journal = j-FIB-QUART,
volume = "58",
number = "4",
pages = "300--??",
month = nov,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Jan 7 13:21:46 MST 2021",
bibsource = "http://www.fq.math.ca/58-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/58-4/davis.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Avdispahic:2020:ISD,
author = "Muharem Avdispahi{\'c} and Faruk Zejnulahi",
title = "An Integer Sequence with a Divisibility Property",
journal = j-FIB-QUART,
volume = "58",
number = "4",
pages = "321--??",
month = nov,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Jan 7 13:21:46 MST 2021",
bibsource = "http://www.fq.math.ca/58-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/58-4/avdispahic.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{McIntosh:2020:CIE,
author = "Richard J. McIntosh",
title = "Congruences Involving {Euler} Numbers and Power Sums",
journal = j-FIB-QUART,
volume = "58",
number = "4",
pages = "328--??",
month = nov,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Jan 7 13:21:46 MST 2021",
bibsource = "http://www.fq.math.ca/58-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/58-4/mcintosh.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Chu:2020:RNF,
author = "H{\`u}ng Vi{\.{\^e}}t Chu",
title = "Representation of {$ \frac {1}{2}(F_n - 1)(F_{n + 1} -
1) $} and {$ \frac {1}{2}(F_n - 1)(F_{n + 2} - 1) $}",
journal = j-FIB-QUART,
volume = "58",
number = "4",
pages = "334--??",
month = nov,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Jan 7 13:21:46 MST 2021",
bibsource = "http://www.fq.math.ca/58-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/58-4/chu1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Austin:2020:GFS,
author = "Jathan Austin and Lisa Schneider",
title = "Generalized {Fibonacci} Sequences in {Pythagorean}
Triple Preserving Matrices",
journal = j-FIB-QUART,
volume = "58",
number = "4",
pages = "340--??",
month = nov,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Jan 7 13:21:46 MST 2021",
bibsource = "http://www.fq.math.ca/58-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/58-4/austin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Chu:2020:TRI,
author = "H{\`u}ng Vi{\.{\^e}} Chu and L{\^a}n Kh{\'a}nh Chu",
title = "A Twist of a {Ramanujan} Identity",
journal = j-FIB-QUART,
volume = "58",
number = "4",
pages = "351--??",
month = nov,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Jan 7 13:21:46 MST 2021",
bibsource = "http://www.fq.math.ca/58-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/58-4/chu2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Mahanta:2020:FLR,
author = "Pankaj Jyoti Mahanta and Manjil P. Saikia",
title = "A Family of Lacunary Recurrences for {Lucas} Numbers",
journal = j-FIB-QUART,
volume = "58",
number = "4",
pages = "356--??",
month = nov,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Jan 7 13:21:46 MST 2021",
bibsource = "http://www.fq.math.ca/58-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/58-4/mahanta.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Komatsu:2020:CGS,
author = "Takao Komatsu and Paul Thomas Young",
title = "Convolutions of Generalized {Stirling} Numbers and
Degenerate {Bernoulli} Polynomials",
journal = j-FIB-QUART,
volume = "58",
number = "4",
pages = "361--??",
month = nov,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Jan 7 13:21:46 MST 2021",
bibsource = "http://www.fq.math.ca/58-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/58-4/komatsu.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kwong:2020:EPSd,
author = "Harris Kwong",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "58",
number = "4",
pages = "367--??",
month = nov,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Jan 7 13:21:46 MST 2021",
bibsource = "http://www.fq.math.ca/58-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/ElemProbSolnNov2020.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2020:APSd,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "58",
number = "4",
pages = "375--??",
month = nov,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Jan 7 13:21:46 MST 2021",
bibsource = "http://www.fq.math.ca/58-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/AdvProbNov2020.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2020:PBPd,
author = "Anonymous",
title = "{Paul Bruckman Prize}",
journal = j-FIB-QUART,
volume = "58",
number = "4",
pages = "380--??",
month = nov,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Jan 7 13:21:46 MST 2021",
bibsource = "http://www.fq.math.ca/58-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Announcements/bruckmanprizeNov2020.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2020:VI,
author = "Anonymous",
title = "Volume Index",
journal = j-FIB-QUART,
volume = "58",
number = "4",
pages = "381--??",
month = nov,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Jan 7 13:21:46 MST 2021",
bibsource = "http://www.fq.math.ca/58-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Volume_Index/VolumeIndex2020.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bicknell-Johnson:2020:CR,
author = "Marjorie Bicknell-Johnson",
title = "Conference Report",
journal = j-FIB-QUART,
volume = "58",
number = "5",
pages = "1--??",
month = dec,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Jan 7 13:21:48 MST 2021",
bibsource = "http://www.fq.math.ca/58-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/58-5/ConferenceReport.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Alzate:2020:FIJ,
author = "Santiago Alzate and Oscar Correa and Rigoberto
Fl{\'o}rez",
title = "{Fibonacci} Identities from {Jordan} Identities",
journal = j-FIB-QUART,
volume = "58",
number = "5",
pages = "2--??",
month = dec,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Jan 7 13:21:48 MST 2021",
bibsource = "http://www.fq.math.ca/58-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/58-5/alzate.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anderson:2020:FWA,
author = "Peter G. Anderson",
title = "The {Fibonacci} Word as a 2-adic Number and its
Continued Fraction",
journal = j-FIB-QUART,
volume = "58",
number = "5",
pages = "21--??",
month = dec,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Jan 7 13:21:48 MST 2021",
bibsource = "http://www.fq.math.ca/58-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/58-5/anderson.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bastasz:2020:LWS,
author = "Bob Bastasz",
title = "{Lyndon} Words of a Second-Order Recurrence",
journal = j-FIB-QUART,
volume = "58",
number = "5",
pages = "25--??",
month = dec,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Jan 7 13:21:48 MST 2021",
bibsource = "http://www.fq.math.ca/58-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/58-5/bastasz.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Benjamin:2020:CEB,
author = "Arthur T. Benjamin and John Lentfer and Thomas C.
Martinez",
title = "Counting on {Euler} and {Bernoulli} Number
Identities",
journal = j-FIB-QUART,
volume = "58",
number = "5",
pages = "30--??",
month = dec,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Jan 7 13:21:48 MST 2021",
bibsource = "http://www.fq.math.ca/58-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/58-5/benjamin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Blair:2020:MDH,
author = "Matthew Blair and Rigoberto Fl{\'o}rez and Antara
Mukherjee and Jos{\'e} L. Ram{\'\i}rez",
title = "Matrices in the Determinant {Hosoya} Triangle",
journal = j-FIB-QUART,
volume = "58",
number = "5",
pages = "34--??",
month = dec,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Jan 7 13:21:48 MST 2021",
bibsource = "http://www.fq.math.ca/58-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/58-5/blair2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Boldyriew:2020:EZT,
author = "El{\.z}bieta Bo{\l}dyriew and Anna Cusenza and
Linglong Dai and Pei Ding and Aidan Dunkelberg and John
Haviland and Kate Huffman and Dianhui Ke and Daniel
Kleber and Jason kuretski and John Lentfer and Tianhao
Luo and Steven J. Miller and Clayton Mizgerd and
Vashisth Tiwari and Jingkai Ye and Yunhao Zhang and
Xiaoyan Zheng and Weiduo Zhu",
title = "Extending {Zeckendorf}'s Theorem to a Non-constant
Recurrence and the {Zeckendorf} Game on this
Non-constant Recurrence Relation",
journal = j-FIB-QUART,
volume = "58",
number = "5",
pages = "55--??",
month = dec,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Jan 7 13:21:48 MST 2021",
bibsource = "http://www.fq.math.ca/58-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/58-5/boldyriew1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Boldyriew:2020:ICP,
author = "El{\.z}bieta Bo{\l}dyriew and John Haviland and
Ph{\'u}c L{\^a}m and John Lentfer and Steven J. Miller
and Fernando Trejos Su{\'a}rez",
title = "An Introduction to Completeness of Positive Linear
Recurrence Sequences",
journal = j-FIB-QUART,
volume = "58",
number = "5",
pages = "77--??",
month = dec,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Jan 7 13:21:48 MST 2021",
bibsource = "http://www.fq.math.ca/58-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/58-5/boldyriew2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Boman:2020:GCP,
author = "Bruce M. Boman",
title = "Geometric Capitulum Patterns Based on {Fibonacci}
p-Proportions",
journal = j-FIB-QUART,
volume = "58",
number = "5",
pages = "91--??",
month = dec,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Jan 7 13:21:48 MST 2021",
bibsource = "http://www.fq.math.ca/58-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/58-5/boman.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bouazzaoui:2020:PFS,
author = "Zakariae Bouazzaoui",
title = "On Periods of {Fibonacci} Sequences and Real Quadratic
$p$-rational Fields",
journal = j-FIB-QUART,
volume = "58",
number = "5",
pages = "103--??",
month = dec,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Jan 7 13:21:48 MST 2021",
bibsource = "http://www.fq.math.ca/58-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/58-5/bouazzaoui.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Dafnis:2020:RBF,
author = "Spiros D. Dafnis",
title = "On the Relation Between {Fibonacci} and {Lucas}
Numbers",
journal = j-FIB-QUART,
volume = "58",
number = "5",
pages = "111--??",
month = dec,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Jan 7 13:21:48 MST 2021",
bibsource = "http://www.fq.math.ca/58-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/58-5/dafnis.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Duverney:2020:LII,
author = "Daniel Duverney and Yohei Tachiya",
title = "Linear Independence of Infinite Products Generated by
the {Lucas} Numbers",
journal = j-FIB-QUART,
volume = "58",
number = "5",
pages = "115--??",
month = dec,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Jan 7 13:21:48 MST 2021",
bibsource = "http://www.fq.math.ca/58-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/58-5/duverney.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Edwards:2020:NCIb,
author = "Kenneth Edwards and Michael A. Allen",
title = "A New Combinatorial Interpretation of the {Fibonacci}
Numbers Cubed",
journal = j-FIB-QUART,
volume = "58",
number = "5",
pages = "128--??",
month = dec,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Jan 7 13:21:48 MST 2021",
bibsource = "http://www.fq.math.ca/58-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/58-5/edwards.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hendel:2020:RTA,
author = "Russell Jay Hendel",
title = "Recursive Triangles Appearing Embedded in Recursive
Families",
journal = j-FIB-QUART,
volume = "58",
number = "5",
pages = "135--??",
month = dec,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Jan 7 13:21:48 MST 2021",
bibsource = "http://www.fq.math.ca/58-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/58-5/hendel.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Herrmann:2020:CFP,
author = "Burghard Herrmann",
title = "The Continued Fraction Pendulum",
journal = j-FIB-QUART,
volume = "58",
number = "5",
pages = "144--??",
month = dec,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Jan 7 13:21:48 MST 2021",
bibsource = "http://www.fq.math.ca/58-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/58-5/herrmann.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Li:2020:DZG,
author = "Ruoci Li and Xiaonan Li and Steven J. Miller and
Clayton Mizgerd and Chenyang Sun and Dong Xia and Zhyi
Zhou",
title = "Deterministic {Zeckendorf} Games",
journal = j-FIB-QUART,
volume = "58",
number = "5",
pages = "152--??",
month = dec,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Jan 7 13:21:48 MST 2021",
bibsource = "http://www.fq.math.ca/58-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/58-5/li.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Munagi:2020:IIC,
author = "Augustine O. Munagi",
title = "An Identity for Inverse-Conjugate Compositions",
journal = j-FIB-QUART,
volume = "58",
number = "5",
pages = "161--??",
month = dec,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Jan 7 13:21:48 MST 2021",
bibsource = "http://www.fq.math.ca/58-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/58-5/munagi.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Nakagawa:2020:TSL,
author = "Kouichi Nakagawa",
title = "A Triangle with Sides Lengths of a Rational Power of
the Plastic Constant",
journal = j-FIB-QUART,
volume = "58",
number = "5",
pages = "166--??",
month = dec,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Jan 7 13:21:48 MST 2021",
bibsource = "http://www.fq.math.ca/58-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/58-5/nakagawa.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Northshield:2020:TCO,
author = "Sam Northshield",
title = "Topographs; {Conway} and Otherwise",
journal = j-FIB-QUART,
volume = "58",
number = "5",
pages = "172--??",
month = dec,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Jan 7 13:21:48 MST 2021",
bibsource = "http://www.fq.math.ca/58-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/58-5/northshield.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ollerton:2020:NBS,
author = "R. L. Ollerton and A. G. Shannon",
title = "A Note on {Brousseau}'s Summation Problem",
journal = j-FIB-QUART,
volume = "58",
number = "5",
pages = "190--??",
month = dec,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Jan 7 13:21:48 MST 2021",
bibsource = "http://www.fq.math.ca/58-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/58-5/ollerton.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Shibukawa:2020:NIS,
author = "Genki Shibukawa",
title = "New Identities for Some Symmetric Polynomials, and a
Higher Order Analogue of the {Fibonacci} and {Lucas}
Numbers",
journal = j-FIB-QUART,
volume = "58",
number = "5",
pages = "200--??",
month = dec,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Jan 7 13:21:48 MST 2021",
bibsource = "http://www.fq.math.ca/58-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/58-5/shibukawa.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Srinivasan:2020:MFN,
author = "Anitha Srinivasan",
title = "The {Markoff--Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "58",
number = "5",
pages = "222--??",
month = dec,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Jan 7 13:21:48 MST 2021",
bibsource = "http://www.fq.math.ca/58-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/58-5/srinivasan.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wang:2020:GWT,
author = "Kai Wang",
title = "{Girard--Waring} Type Formula for a Generalized
{Fibonacci} Sequence",
journal = j-FIB-QUART,
volume = "58",
number = "5",
pages = "229--??",
month = dec,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Jan 7 13:21:48 MST 2021",
bibsource = "http://www.fq.math.ca/58-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/58-5/wang.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Miller:2020:PS,
author = "Steven J. Miller",
title = "Problem Section",
journal = j-FIB-QUART,
volume = "58",
number = "5",
pages = "236--??",
month = dec,
year = "2020",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Jan 7 13:21:48 MST 2021",
bibsource = "http://www.fq.math.ca/58-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/58-5/problems.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2021:MGB,
author = "Anonymous",
title = "In Memoriam --- {Gerald E. Bergum}",
journal = j-FIB-QUART,
volume = "59",
number = "1",
pages = "2--??",
month = feb,
year = "2021",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Mar 6 06:10:16 MST 2021",
bibsource = "http://www.fq.math.ca/59-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Announcements/gbergum.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2021:FCAa,
author = "Anonymous",
title = "{Fibonacci} Conference Announcement",
journal = j-FIB-QUART,
volume = "59",
number = "1",
pages = "3--??",
month = feb,
year = "2021",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Mar 6 06:10:16 MST 2021",
bibsource = "http://www.fq.math.ca/59-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Announcements/ConfAnnFeb2021.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Koshy:2021:EGSa,
author = "Thomas Koshy",
title = "Extended {Gibonacci} Sums of Polynomial Products of
Orders 4 and 5",
journal = j-FIB-QUART,
volume = "59",
number = "1",
pages = "3--??",
month = feb,
year = "2021",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Mar 6 06:10:16 MST 2021",
bibsource = "http://www.fq.math.ca/59-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/59-1/koshy1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Killpatrick:2021:BFC,
author = "Kendra Killpatrick and Jordan Weaver",
title = "A Bijection for the {Fibonomial} Coefficients",
journal = j-FIB-QUART,
volume = "59",
number = "1",
pages = "14--??",
month = feb,
year = "2021",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Mar 6 06:10:16 MST 2021",
bibsource = "http://www.fq.math.ca/59-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/59-1/killpatrick.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Dekking:2021:HAT,
author = "F. Michel Dekking",
title = "How to Add Two Natural Numbers in Base Phi",
journal = j-FIB-QUART,
volume = "59",
number = "1",
pages = "19--??",
month = feb,
year = "2021",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Mar 6 06:10:16 MST 2021",
bibsource = "http://www.fq.math.ca/59-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/59-1/dekking.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Koshy:2021:EGSb,
author = "Thomas Koshy",
title = "Extended {Gibonacci} Sums of Polynomial Products of
Orders 4 and 5 Revisited",
journal = j-FIB-QUART,
volume = "59",
number = "1",
pages = "23--??",
month = feb,
year = "2021",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Mar 6 06:10:16 MST 2021",
bibsource = "http://www.fq.math.ca/59-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/59-1/koshy2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Aursukaree:2021:EDP,
author = "Saralee Aursukaree and Prapanpong Pongsriiam",
title = "On Exactly $3$-Deficient-Perfect Numbers",
journal = j-FIB-QUART,
volume = "59",
number = "1",
pages = "33--??",
month = feb,
year = "2021",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Mar 6 06:10:16 MST 2021",
bibsource = "http://www.fq.math.ca/59-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/59-1/aursukaree.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Shannon:2021:NLS,
author = "A. G. Shannon and R. L. Ollerton",
title = "A Note on {Ledin}'s Summation Problem",
journal = j-FIB-QUART,
volume = "59",
number = "1",
pages = "47--??",
month = feb,
year = "2021",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Mar 6 06:10:16 MST 2021",
bibsource = "http://www.fq.math.ca/59-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/59-1/shannon.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Patra:2021:EDP,
author = "Asim Patra and Gopal Krishna Panda and Tammatada
Khemaratchatakumthorn",
title = "Exact Divisibility by Powers of the Balancing and
{Lucas}-Balancing Numbers",
journal = j-FIB-QUART,
volume = "59",
number = "1",
pages = "57--??",
month = feb,
year = "2021",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Mar 6 06:10:16 MST 2021",
bibsource = "http://www.fq.math.ca/59-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/59-1/patra.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Li:2021:DPF,
author = "Yao-Qiang Li",
title = "Divisibility Properties of Factors of the Discriminant
of Generalized {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "59",
number = "1",
pages = "65--??",
month = feb,
year = "2021",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Mar 6 06:10:16 MST 2021",
bibsource = "http://www.fq.math.ca/59-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/59-1/li.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lin:2021:VBE,
author = "Xianzu Lin",
title = "Values of {Bernoulli} and {Euler} Polynomials at
Rational Points",
journal = j-FIB-QUART,
volume = "59",
number = "1",
pages = "78--??",
month = feb,
year = "2021",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Mar 6 06:10:16 MST 2021",
bibsource = "http://www.fq.math.ca/59-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/59-1/lin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kwong:2021:EPSa,
author = "Harris Kwong",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "59",
number = "1",
pages = "82--??",
month = feb,
year = "2021",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Mar 6 06:10:16 MST 2021",
bibsource = "http://www.fq.math.ca/59-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/FQElemProbFeb2021.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2021:APSa,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "59",
number = "1",
pages = "89--??",
month = feb,
year = "2021",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Mar 6 06:10:16 MST 2021",
bibsource = "http://www.fq.math.ca/59-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/Feb2021AdvProb.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Koshy:2021:FSGa,
author = "Thomas Koshy",
title = "A Family of Sums of {Gibonacci} Polynomial Products of
Order 4",
journal = j-FIB-QUART,
volume = "59",
number = "2",
pages = "98--??",
month = may,
year = "2021",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jun 9 07:46:42 MDT 2021",
bibsource = "http://www.fq.math.ca/59-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/59-2/koshy1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Somer:2021:SOL,
author = "Lawrence Somer and Michal K{\v{r}}{\'\i}{\v{z}}ek",
title = "Second-Order Linear Recurrences Having Arbitrarily
Large Defect Modulo $p$",
journal = j-FIB-QUART,
volume = "59",
number = "2",
pages = "108--??",
month = may,
year = "2021",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jun 9 07:46:42 MDT 2021",
bibsource = "http://www.fq.math.ca/59-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/59-2/somer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Chu:2021:PSF,
author = "H{\`u}ng Vi{\d{\^e}}t Chu",
title = "Partial Sums of the {Fibonacci} Sequence",
journal = j-FIB-QUART,
volume = "59",
number = "2",
pages = "132--??",
month = may,
year = "2021",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jun 9 07:46:42 MDT 2021",
bibsource = "http://www.fq.math.ca/59-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/59-2/chu1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Broderius:2021:LSC,
author = "Mark Broderius and John Greene",
title = "{Lucas} Sequences Containing Few Primes",
journal = j-FIB-QUART,
volume = "59",
number = "2",
pages = "136--??",
month = may,
year = "2021",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jun 9 07:46:42 MDT 2021",
bibsource = "http://www.fq.math.ca/59-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/59-2/broderius.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cereceda:2021:BF,
author = "Jos{\'e} Luis Cereceda",
title = "{Bernoulli} and {Faulhaber}",
journal = j-FIB-QUART,
volume = "59",
number = "2",
pages = "145--??",
month = may,
year = "2021",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jun 9 07:46:42 MDT 2021",
bibsource = "http://www.fq.math.ca/59-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/59-2/cereceda.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Elizalde:2021:SBP,
author = "Sergi Elizalde",
title = "A Simple Bijective Proof of a Familiar Derangement
Recurrence",
journal = j-FIB-QUART,
volume = "59",
number = "2",
pages = "150--??",
month = may,
year = "2021",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jun 9 07:46:42 MDT 2021",
bibsource = "http://www.fq.math.ca/59-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/59-2/elizalde.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Chu:2021:VSC,
author = "H{\`u}ng Vi{\d{\^e}}t Chu",
title = "Various Sequences from Counting Subsets",
journal = j-FIB-QUART,
volume = "59",
number = "2",
pages = "152--??",
month = may,
year = "2021",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jun 9 07:46:42 MDT 2021",
bibsource = "http://www.fq.math.ca/59-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/59-2/chu2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Tsuno:2021:ERI,
author = "Yuji Tsuno",
title = "Extended Results on Integer Values of the Generating
Functions for Sequences Given by {Pell}'s Equations",
journal = j-FIB-QUART,
volume = "59",
number = "2",
pages = "158--??",
month = may,
year = "2021",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jun 9 07:46:42 MDT 2021",
bibsource = "http://www.fq.math.ca/59-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/59-2/tsuno.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Koshy:2021:GTCa,
author = "Thomas Koshy",
title = "Graph-Theoretic Confirmations of Four Sums of
{Gibonacci} Polynomial Products of Order 4",
journal = j-FIB-QUART,
volume = "59",
number = "2",
pages = "167--??",
month = may,
year = "2021",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jun 9 07:46:42 MDT 2021",
bibsource = "http://www.fq.math.ca/59-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/59-2/koshy2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kwong:2021:EPSb,
author = "Harris Kwong",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "59",
number = "2",
pages = "176--??",
month = may,
year = "2021",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jun 9 07:46:42 MDT 2021",
bibsource = "http://www.fq.math.ca/59-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/FQElemProbMay2021.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2021:APSb,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "59",
number = "2",
pages = "185--??",
month = may,
year = "2021",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Jun 9 07:46:42 MDT 2021",
bibsource = "http://www.fq.math.ca/59-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/AdvProbMay2021.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Roettger:2021:SPT,
author = "E. L. Roettger and H. C. Williams",
title = "Some Primality Tests Constructed from a Cubic
Extension of the {Lucas} Functions",
journal = j-FIB-QUART,
volume = "59",
number = "3",
pages = "194--??",
month = aug,
year = "2021",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Feb 10 07:12:12 MST 2022",
bibsource = "http://www.fq.math.ca/59-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/59-3/roettger.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Stewart:2021:SSI,
author = "Se{\'a}n M. Stewart",
title = "Some Series Involving Products Between the Harmonic
Numbers and the {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "59",
number = "3",
pages = "214--??",
month = aug,
year = "2021",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Feb 10 07:12:12 MST 2022",
bibsource = "http://www.fq.math.ca/59-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/59-3/stewart.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Koshy:2021:FSGb,
author = "Thomas Koshy",
title = "A Family of Sums of {Gibonacci} Polynomial Products of
Order 4 Revisited",
journal = j-FIB-QUART,
volume = "59",
number = "3",
pages = "225--??",
month = aug,
year = "2021",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Feb 10 07:12:12 MST 2022",
bibsource = "http://www.fq.math.ca/59-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/59-3/koshy1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Prodinger:2021:NDP,
author = "Helmut Prodinger",
title = "Nondecreasing {Deutsch} Paths",
journal = j-FIB-QUART,
volume = "59",
number = "3",
pages = "232--??",
month = aug,
year = "2021",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Feb 10 07:12:12 MST 2022",
bibsource = "http://www.fq.math.ca/59-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/59-3/prodinger.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Koshy:2021:ISIa,
author = "Thomas Koshy",
title = "Infinite Sums Involving {Gibonacci} Polynomial
Products",
journal = j-FIB-QUART,
volume = "59",
number = "3",
pages = "237--??",
month = aug,
year = "2021",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Feb 10 07:12:12 MST 2022",
bibsource = "http://www.fq.math.ca/59-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/59-3/koshy2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Tuenter:2021:IRL,
author = "Hans J. H. Tuenter",
title = "Inverse Relations for {Lucas} Sequences",
journal = j-FIB-QUART,
volume = "59",
number = "3",
pages = "246--??",
month = aug,
year = "2021",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Feb 10 07:12:12 MST 2022",
bibsource = "http://www.fq.math.ca/59-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/59-3/tuenter.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Chu:2021:GZD,
author = "H{\`u}ng Vi{\d{\^e}}t Chu",
title = "On Generalized {Zeckendorf} Decompositions and
Generalized Golden Strings",
journal = j-FIB-QUART,
volume = "59",
number = "3",
pages = "254--??",
month = aug,
year = "2021",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Feb 10 07:12:12 MST 2022",
bibsource = "http://www.fq.math.ca/59-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/59-3/chu.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Koshy:2021:ISIb,
author = "Thomas Koshy",
title = "Infinite Sums Involving {Gibonacci} Polynomial
Products Revisited",
journal = j-FIB-QUART,
volume = "59",
number = "3",
pages = "262--??",
month = aug,
year = "2021",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Feb 10 07:12:12 MST 2022",
bibsource = "http://www.fq.math.ca/59-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/59-3/koshy3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ollerton:2021:ESP,
author = "Richard L. Ollerton and Anthony G. Shannon",
title = "Erratum --- Some Properties of Generalized {Pascal}
Squares and Triangles",
journal = j-FIB-QUART,
volume = "59",
number = "3",
pages = "272--??",
month = aug,
year = "2021",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Feb 10 07:12:12 MST 2022",
bibsource = "http://www.fq.math.ca/59-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "See \cite{Ollerton:1998:SPG}.",
URL = "http://www.fq.math.ca/Papers/59-3/errata05012021rev.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kwong:2021:EPSc,
author = "Harris Kwong",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "59",
number = "3",
pages = "273--??",
month = aug,
year = "2021",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Feb 10 07:12:12 MST 2022",
bibsource = "http://www.fq.math.ca/59-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/ElemProSolnAugust2021.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2021:APSc,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "59",
number = "3",
pages = "280--??",
month = aug,
year = "2021",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Feb 10 07:12:12 MST 2022",
bibsource = "http://www.fq.math.ca/59-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/August2021AdvancedProblems.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2021:FCAb,
author = "Anonymous",
title = "{Fibonacci} Conference Announcement",
journal = j-FIB-QUART,
volume = "59",
number = "4",
pages = "290--??",
month = nov,
year = "2021",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Feb 10 07:12:14 MST 2022",
bibsource = "http://www.fq.math.ca/59-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Announcements/ConfAnn2022.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Fox:2021:ISF,
author = "Glenn J. Fox",
title = "Integers that Satisfy a {Fermat}'s Congruence of
Higher Power",
journal = j-FIB-QUART,
volume = "59",
number = "4",
pages = "291--??",
month = nov,
year = "2021",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Feb 10 07:12:14 MST 2022",
bibsource = "http://www.fq.math.ca/59-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/59-4/fox.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2021:DGF,
author = "Florian Luca",
title = "On the Discriminant of the $k$-generalized {Fibonacci}
Polynomial",
journal = j-FIB-QUART,
volume = "59",
number = "4",
pages = "298--??",
month = nov,
year = "2021",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Feb 10 07:12:14 MST 2022",
bibsource = "http://www.fq.math.ca/59-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/59-4/luca.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cusenza:2021:WSM,
author = "Anna Cusenza and Aidan Dunkelberg and Kate Huffman and
Dianhui Ke and Daniel Kleber and Steven J. Miller and
Clayton Mizgerd and Vashisth Tiwari and Jingkai Ye and
Xiaoyan Zheng",
title = "Winning Strategy for Multiplayer and Multialliance
{Zeckendorf} Games",
journal = j-FIB-QUART,
volume = "59",
number = "4",
pages = "308--??",
month = nov,
year = "2021",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Feb 10 07:12:14 MST 2022",
bibsource = "http://www.fq.math.ca/59-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/59-4/cusenza.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Koshy:2021:GTCb,
author = "Thomas Koshy",
title = "Graph-Theoretic Confirmations of Four Sums of
{Jacobsthal} Polynomial Products of Order 4",
journal = j-FIB-QUART,
volume = "59",
number = "4",
pages = "319--??",
month = nov,
year = "2021",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Feb 10 07:12:14 MST 2022",
bibsource = "http://www.fq.math.ca/59-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/59-4/koshy1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gilson:2021:ZTU,
author = "Amelia Gilson and Hadley Killen and Tam{\'a}s Lengyel
and Steven J. Miller and Nadia Razek and Joshua M.
Siktar and Liza Sulkin",
title = "{Zeckendorf}'s Theorem Using Indices in an Arithmetic
Progression",
journal = j-FIB-QUART,
volume = "59",
number = "4",
pages = "327--??",
month = nov,
year = "2021",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Feb 10 07:12:14 MST 2022",
bibsource = "http://www.fq.math.ca/59-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/59-4/gilson.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Koshy:2021:ISIc,
author = "Thomas Koshy",
title = "Infinite Sums Involving {Jacobsthal} Polynomial
Products",
journal = j-FIB-QUART,
volume = "59",
number = "4",
pages = "338--??",
month = nov,
year = "2021",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Feb 10 07:12:14 MST 2022",
bibsource = "http://www.fq.math.ca/59-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/59-4/koshy2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Yoon:2021:ACB,
author = "Soowhan Yoon",
title = "Analytic Connection Between the {Fibonacci} Sequence
and Diagonal Sums of Binomial Coefficients",
journal = j-FIB-QUART,
volume = "59",
number = "4",
pages = "349--??",
month = nov,
year = "2021",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Feb 10 07:12:14 MST 2022",
bibsource = "http://www.fq.math.ca/59-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/59-4/yoon.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Praton:2021:AHT,
author = "Iwan Praton and Nart Shalqini",
title = "Amicable {Heron} Triangles",
journal = j-FIB-QUART,
volume = "59",
number = "4",
pages = "362--??",
month = nov,
year = "2021",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Feb 10 07:12:14 MST 2022",
bibsource = "http://www.fq.math.ca/59-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/59-4/praton.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kwong:2021:EPSd,
author = "Harris Kwong",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "59",
number = "4",
pages = "365--??",
month = nov,
year = "2021",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Feb 10 07:12:14 MST 2022",
bibsource = "http://www.fq.math.ca/59-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/ElemProbSolnNov2021.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2021:APSd,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "59",
number = "4",
pages = "373--??",
month = nov,
year = "2021",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Feb 10 07:12:14 MST 2022",
bibsource = "http://www.fq.math.ca/59-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/AdvProbNov2021.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2021:VI,
author = "Anonymous",
title = "Volume Index",
journal = j-FIB-QUART,
volume = "59",
number = "4",
pages = "381--??",
month = nov,
year = "2021",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Feb 10 07:12:14 MST 2022",
bibsource = "http://www.fq.math.ca/59-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Volume_Index/VolumeIndex2021.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2022:FCAa,
author = "Anonymous",
title = "{Fibonacci} Conference Announcement",
journal = j-FIB-QUART,
volume = "60",
number = "1",
pages = "2--??",
month = feb,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Oct 7 12:08:14 MDT 2022",
bibsource = "http://www.fq.math.ca/60-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Announcements/ConfAnn2022.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Koshy:2022:ISIa,
author = "Thomas Koshy",
title = "Infinite Sums Involving {Jacobsthal} Polynomial
Products Revisited",
journal = j-FIB-QUART,
volume = "60",
number = "1",
pages = "3--??",
month = feb,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Oct 7 12:08:14 MDT 2022",
bibsource = "http://www.fq.math.ca/60-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/60-1/koshy1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Koshy:2022:PIRa,
author = "Thomas Koshy",
title = "Products Involving Reciprocals of {Gibonacci}
Polynomials",
journal = j-FIB-QUART,
volume = "60",
number = "1",
pages = "15--??",
month = feb,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Oct 7 12:08:14 MDT 2022",
bibsource = "http://www.fq.math.ca/60-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/60-1/koshy2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Adedji:2022:FDP,
author = "Kouessi Norbert Ad{\'e}dji and Alan Filipin and Alain
Togb{\'e}",
title = "On the Family of {Diophantine} Pairs {$ P_{2 k}, 2
P_{2 k + 2} $}",
journal = j-FIB-QUART,
volume = "60",
number = "1",
pages = "25--??",
month = feb,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Oct 7 12:08:14 MDT 2022",
bibsource = "http://www.fq.math.ca/60-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/60-1/adedji.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Moss:2022:FAE,
author = "Patrick Moss and Tom Ward",
title = "{Fibonacci} Along Even Powers Is (Almost) Realizable",
journal = j-FIB-QUART,
volume = "60",
number = "1",
pages = "40--??",
month = feb,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Oct 7 12:08:14 MDT 2022",
bibsource = "http://www.fq.math.ca/60-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/60-1/moss.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Javaheri:2022:UBR,
author = "Mohammad Javaheri",
title = "Upper Bound {Residues} of the {Fibonacci} Sequence
Modulo Primes",
journal = j-FIB-QUART,
volume = "60",
number = "1",
pages = "48--??",
month = feb,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Oct 7 12:08:14 MDT 2022",
bibsource = "http://www.fq.math.ca/60-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/60-1/javaheri.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hoit:2022:AUB,
author = "Abigail Hoit",
title = "An Asymptotic Upper Bound for Counting Fiven Numbers",
journal = j-FIB-QUART,
volume = "60",
number = "1",
pages = "52--??",
month = feb,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Oct 7 12:08:14 MDT 2022",
bibsource = "http://www.fq.math.ca/60-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/60-1/hoit.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cusenza:2022:BZG,
author = "Anna Cusenza and Aidan Dunkelberg and Kate Huffman and
Dianhui Ke and Micah McClatchey and Steven J. Miller
and Clayton Mizgerd and Vashisth Tiwari and Jingkai Ye
and Xiaoyan Zheng",
title = "Bounds on {Zeckendorf} Games",
journal = j-FIB-QUART,
volume = "60",
number = "1",
pages = "57--??",
month = feb,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Oct 7 12:08:14 MDT 2022",
bibsource = "http://www.fq.math.ca/60-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/60-1/cusenza.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Koshy:2022:PIRb,
author = "Thomas Koshy",
title = "Products Involving Reciprocals of {Jacobsthal}
Polynomials",
journal = j-FIB-QUART,
volume = "60",
number = "1",
pages = "72--??",
month = feb,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Oct 7 12:08:14 MDT 2022",
bibsource = "http://www.fq.math.ca/60-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/60-1/koshy3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kwong:2022:EPSa,
author = "Harris Kwong",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "60",
number = "1",
pages = "82--??",
month = feb,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Oct 7 12:08:14 MDT 2022",
bibsource = "http://www.fq.math.ca/60-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/FQElemProbFeb2022.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2022:APSa,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "60",
number = "1",
pages = "90--??",
month = feb,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Oct 7 12:08:14 MDT 2022",
bibsource = "http://www.fq.math.ca/60-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/FebAdvProb2022.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2022:FCAb,
author = "Anonymous",
title = "{Fibonacci} Conference Announcement",
journal = j-FIB-QUART,
volume = "60",
number = "2",
pages = "98--??",
month = may,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Oct 7 12:08:16 MDT 2022",
bibsource = "http://www.fq.math.ca/60-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Announcements/ConfAnn2022-May.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Jin:2022:TIH,
author = "Ziqian (Alexa) Jin and Greg Dresden",
title = "{Tetranacci} Identities Via Hexagonal Tilings",
journal = j-FIB-QUART,
volume = "60",
number = "2",
pages = "99--??",
month = may,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Oct 7 12:08:16 MDT 2022",
bibsource = "http://www.fq.math.ca/60-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/60-2/jin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Koshy:2022:ISIb,
author = "Thomas Koshy",
title = "Infinite Sums Involving {Gibonacci} Polynomials",
journal = j-FIB-QUART,
volume = "60",
number = "2",
pages = "104--??",
month = may,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Oct 7 12:08:16 MDT 2022",
bibsource = "http://www.fq.math.ca/60-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/60-2/koshy1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Chu:2022:ZRP,
author = "H{\`u}ng Vi{\d{\^e}}t Chu and David C. Luo and Steven
J. Miller",
title = "On {Zeckendorf} Related Partitions Using the {Lucas}
Sequence",
journal = j-FIB-QUART,
volume = "60",
number = "2",
pages = "111--??",
month = may,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Oct 7 12:08:16 MDT 2022",
bibsource = "http://www.fq.math.ca/60-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/60-2/chu.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Koshy:2022:ISIc,
author = "Thomas Koshy",
title = "Infinite Sums Involving {Gibonacci} Polynomials
Revisited",
journal = j-FIB-QUART,
volume = "60",
number = "2",
pages = "120--??",
month = may,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Oct 7 12:08:16 MDT 2022",
bibsource = "http://www.fq.math.ca/60-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/60-2/koshy2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Dresden:2022:WSF,
author = "Greg Dresden and Yu Xiao",
title = "Weighted Sums of {Fibonacci} and {Lucas} Numbers
Through Colorful Tilings",
journal = j-FIB-QUART,
volume = "60",
number = "2",
pages = "126--??",
month = may,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Oct 7 12:08:16 MDT 2022",
bibsource = "http://www.fq.math.ca/60-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/60-2/dresden.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kinlaw:2022:SRF,
author = "Paul Kinlaw and Michael Morris and Samanthak
Thiagarajan",
title = "Sums Related to the {Fibonacci} Sequence",
journal = j-FIB-QUART,
volume = "60",
number = "2",
pages = "136--??",
month = may,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Oct 7 12:08:16 MDT 2022",
bibsource = "http://www.fq.math.ca/60-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/60-2/kinlaw.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hendel:2022:MUP,
author = "Russell Jay Hendel",
title = "A Method for Uniformly Proving a Family of
Identities",
journal = j-FIB-QUART,
volume = "60",
number = "2",
pages = "151--??",
month = may,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Oct 7 12:08:16 MDT 2022",
bibsource = "http://www.fq.math.ca/60-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/60-2/hendel.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Andrews:2022:APC,
author = "George E. Andrews and Matthew Just and Greg Simay",
title = "Anti-Palindromic Compositions",
journal = j-FIB-QUART,
volume = "60",
number = "2",
pages = "158--??",
month = may,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Oct 7 12:08:16 MDT 2022",
bibsource = "http://www.fq.math.ca/60-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/60-2/andrews.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kwong:2022:EPSb,
author = "Harris Kwong",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "60",
number = "2",
pages = "177--??",
month = may,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Oct 7 12:08:16 MDT 2022",
bibsource = "http://www.fq.math.ca/60-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/FQElemProbMay2022.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2022:APSb,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "60",
number = "2",
pages = "185--??",
month = may,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Oct 7 12:08:16 MDT 2022",
bibsource = "http://www.fq.math.ca/60-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/AdvProbMay2022.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Koshy:2022:ISId,
author = "Thomas Koshy",
title = "Infinite Sums Involving {Jacobsthal} Polynomials",
journal = j-FIB-QUART,
volume = "60",
number = "3",
pages = "194--??",
month = aug,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Oct 7 12:08:19 MDT 2022",
bibsource = "http://www.fq.math.ca/60-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/60-3/koshy1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Alekseyev:2022:TCR,
author = "Max A. Alekseyev and Joseph Samuel Myers and Richard
Schroeppel and S. R. Shannon and N. J. A. Sloane and
Paul Zimmermann",
title = "Three Cousins of {Recam{\'a}n}'s Sequence",
journal = j-FIB-QUART,
volume = "60",
number = "3",
pages = "201--??",
month = aug,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Oct 7 12:08:19 MDT 2022",
bibsource = "http://www.fq.math.ca/60-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/60-3/alekseyev.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Campbell:2022:ZSR,
author = "H. E. A. Campbell and D. L. Wehlau",
title = "Zigzag Sequences and Representations of Integers",
journal = j-FIB-QUART,
volume = "60",
number = "3",
pages = "220--??",
month = aug,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Oct 7 12:08:19 MDT 2022",
bibsource = "http://www.fq.math.ca/60-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/60-3/campbellH.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Prodinger:2022:MSC,
author = "Helmut Prodinger",
title = "A Matrix with Sums of {Catalan} Numbers --- {$ L U
$}-Decomposition and Determinant",
journal = j-FIB-QUART,
volume = "60",
number = "3",
pages = "226--??",
month = aug,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Oct 7 12:08:19 MDT 2022",
bibsource = "http://www.fq.math.ca/60-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/60-3/prodinger.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Koshy:2022:ISIe,
author = "Thomas Koshy",
title = "Infinite Sums Involving {Jacobsthal} Polynomials
Revisited",
journal = j-FIB-QUART,
volume = "60",
number = "3",
pages = "229--??",
month = aug,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Oct 7 12:08:19 MDT 2022",
bibsource = "http://www.fq.math.ca/60-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/60-3/koshy2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Beardon:2022:RGF,
author = "A. F. Beardon",
title = "Ratios of Generalized {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "60",
number = "3",
pages = "235--??",
month = aug,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Oct 7 12:08:19 MDT 2022",
bibsource = "http://www.fq.math.ca/60-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/60-3/beardon.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ollerton:2022:CNN,
author = "R. L. Ollerton",
title = "{Catalan} Numbers and Non-Intersecting Lattice Paths",
journal = j-FIB-QUART,
volume = "60",
number = "3",
pages = "238--??",
month = aug,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Oct 7 12:08:19 MDT 2022",
bibsource = "http://www.fq.math.ca/60-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/60-3/ollerton.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gica:2022:CMS,
author = "Alexandru Gica",
title = "Congruences Modulo the Square of a Prime for Sums
Containing {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "60",
number = "3",
pages = "243--??",
month = aug,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Oct 7 12:08:19 MDT 2022",
bibsource = "http://www.fq.math.ca/60-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/60-3/gica.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Campbell:2022:MBR,
author = "John M. Campbell",
title = "A Matrix-Based Recursion Relation for {$ F_{F_n} $}",
journal = j-FIB-QUART,
volume = "60",
number = "3",
pages = "256--??",
month = aug,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Oct 7 12:08:19 MDT 2022",
bibsource = "http://www.fq.math.ca/60-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/60-3/campbellj-1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Guzicki:2022:BPF,
author = "Wojciech Guzicki and Piotr Zakrzewski",
title = "Bijective Proofs of Formulas with $ ( - 1)^n $",
journal = j-FIB-QUART,
volume = "60",
number = "3",
pages = "262--??",
month = aug,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Oct 7 12:08:19 MDT 2022",
bibsource = "http://www.fq.math.ca/60-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/60-3/guzicki.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Campbell:2022:PMI,
author = "John M. Campbell",
title = "Products of Multiple-Index {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "60",
number = "3",
pages = "267--??",
month = aug,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Oct 7 12:08:19 MDT 2022",
bibsource = "http://www.fq.math.ca/60-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/60-3/campbellj-2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kwong:2022:EPSc,
author = "Harris Kwong",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "60",
number = "3",
pages = "274--??",
month = aug,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Oct 7 12:08:19 MDT 2022",
bibsource = "http://www.fq.math.ca/60-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/ElemProSolnAugust2022.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2022:APSc,
author = "Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "60",
number = "3",
pages = "281--??",
month = aug,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Oct 7 12:08:19 MDT 2022",
bibsource = "http://www.fq.math.ca/60-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/AdvProbAug2022.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Johnson:2022:MFH,
author = "Marjorie Bicknell Johnson",
title = "In Memoriam --- {Fredric T. Howard}",
journal = j-FIB-QUART,
volume = "60",
number = "4",
pages = "290--??",
month = nov,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Feb 25 06:25:22 MST 2023",
bibsource = "http://www.fq.math.ca/60-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Announcements/fredhoward.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Johnson:2022:RIC,
author = "Marjorie Bicknell Johnson",
title = "A Report on the 20th International Conference on
{Fibonacci} Numbers and Their Applications",
journal = j-FIB-QUART,
volume = "60",
number = "4",
pages = "291--??",
month = nov,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Feb 25 06:25:22 MST 2023",
bibsource = "http://www.fq.math.ca/60-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Announcements/ConferenceReport08032022.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Koshy:2022:ISIf,
author = "Thomas Koshy",
title = "Infinite Sums Involving Extended {Gibonacci}
Polynomials",
journal = j-FIB-QUART,
volume = "60",
number = "4",
pages = "292--??",
month = nov,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Feb 25 06:25:22 MST 2023",
bibsource = "http://www.fq.math.ca/60-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/60-4/koshy1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Koshy:2022:ISIg,
author = "Thomas Koshy",
title = "Infinite Sums Involving Extended {Gibonacci}
Polynomials Revisited",
journal = j-FIB-QUART,
volume = "60",
number = "4",
pages = "302--??",
month = nov,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Feb 25 06:25:22 MST 2023",
bibsource = "http://www.fq.math.ca/60-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/60-4/koshy2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Tuenter:2022:FSI,
author = "Hans J. H. Tuenter",
title = "{Fibonacci} Summation Identities Arising from
{Catalan}'s Identity",
journal = j-FIB-QUART,
volume = "60",
number = "4",
pages = "312--??",
month = nov,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Feb 25 06:25:22 MST 2023",
bibsource = "http://www.fq.math.ca/60-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/60-4/tuenter.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Greene:2022:UFF,
author = "John Greene and Junhyun Lim and Shaunak Mashalkar and
Edward F. Schaefer",
title = "Using {Fibonacci} Factors to Create {Fibonacci}
Pseudoprimes",
journal = j-FIB-QUART,
volume = "60",
number = "4",
pages = "320--??",
month = nov,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Feb 25 06:25:22 MST 2023",
bibsource = "http://www.fq.math.ca/60-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/60-4/greene.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Somer:2022:FLD,
author = "Lawrence Somer and Michal K{\v{r}}{\'\i}{\v{z}}ek",
title = "{Frobenius}, {Lucas}, and {Dickson} Pseudoprimes",
journal = j-FIB-QUART,
volume = "60",
number = "4",
pages = "325--??",
month = nov,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Feb 25 06:25:22 MST 2023",
bibsource = "http://www.fq.math.ca/60-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/60-4/somer1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Koshy:2022:SIG,
author = "Thomas Koshy",
title = "Sums Involving {Gibonacci} Polynomials",
journal = j-FIB-QUART,
volume = "60",
number = "4",
pages = "344--??",
month = nov,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Feb 25 06:25:22 MST 2023",
bibsource = "http://www.fq.math.ca/60-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/60-4/koshy3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Beanland:2022:GSS,
author = "Kevin Beanland and H{\`u}ng Vi{\d{\^e}}t Chu and
Carrie E. Finch-Smith",
title = "Generalized {Schreier} Sets, Linear Recurrence
Relation, and {Tur{\'a}n} Graphs",
journal = j-FIB-QUART,
volume = "60",
number = "4",
pages = "352--??",
month = nov,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Feb 25 06:25:22 MST 2023",
bibsource = "http://www.fq.math.ca/60-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/60-4/beanland.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Somer:2022:GTB,
author = "Lawrence Somer and Michal K{\v{r}}{\'\i}{\v{z}}ek",
title = "Generalization of a Theorem of {Bruckman} on {Dickson}
Pseudoprimes",
journal = j-FIB-QUART,
volume = "60",
number = "4",
pages = "357--??",
month = nov,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Feb 25 06:25:22 MST 2023",
bibsource = "http://www.fq.math.ca/60-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/60-4/somer2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kainen:2022:FSC,
author = "Paul C. Kainen",
title = "{Fibonacci} in {Somos-5} by Complexification",
journal = j-FIB-QUART,
volume = "60",
number = "4",
pages = "362--??",
month = nov,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Feb 25 06:25:22 MST 2023",
bibsource = "http://www.fq.math.ca/60-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/60-4/kainen.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kwong:2022:EPS,
author = "Harris Kwong",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "60",
number = "4",
pages = "365--??",
month = nov,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Feb 25 06:25:22 MST 2023",
bibsource = "http://www.fq.math.ca/60-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/ElemProbSolnNov2022.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Frontczak:2022:APS,
author = "Robert Frontczak and Florian Luca",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "60",
number = "4",
pages = "373--??",
month = nov,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Feb 25 06:25:22 MST 2023",
bibsource = "http://www.fq.math.ca/60-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/AdvProbNov2022.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bicknell-Johnson:2022:CRa,
author = "Marjorie Bicknell-Johnson",
title = "Conference Report",
journal = j-FIB-QUART,
volume = "60",
number = "5",
pages = "1--??",
month = dec,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Feb 25 06:25:24 MST 2023",
bibsource = "http://www.fq.math.ca/60-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/60-5/report2022.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2022:LST,
author = "Anonymous",
title = "List of Speakers and Talks",
journal = j-FIB-QUART,
volume = "60",
number = "5",
pages = "2--??",
month = dec,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Feb 25 06:25:24 MST 2023",
bibsource = "http://www.fq.math.ca/60-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/60-5/talks.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Allen:2022:FTDa,
author = "Michael A. Allen and Kenneth Edwards",
title = "Fence Tiling Derived Identities Involving the
{Metallonacci} Numbers Squared or Cubed",
journal = j-FIB-QUART,
volume = "60",
number = "5",
pages = "5--??",
month = dec,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Feb 25 06:25:24 MST 2023",
bibsource = "http://www.fq.math.ca/60-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/60-5/allen.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Baily:2022:BGa,
author = "Benjamin Baily and Justine Dell and Irfan Durmi{\'c}
and Henry L. Fleischmann and Faye Jackson and Isaac
Mijares and Steven J. Miller and Ethan Pesikoff and
Luke Reifenberg and Alicia Smith Reina and Yingzi
Yang",
title = "The {Bergman} Game",
journal = j-FIB-QUART,
volume = "60",
number = "5",
pages = "18--??",
month = dec,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Feb 25 06:25:24 MST 2023",
bibsource = "http://www.fq.math.ca/60-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/60-5/baily.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Belkhir:2022:SCAa,
author = "Amine Belkhir and Elif Tan and Mehmet Da{\u{g}}l{\i}",
title = "Some Combinatorial Aspects of Bi-periodic Incomplete
{Horadam} Sequences",
journal = j-FIB-QUART,
volume = "60",
number = "5",
pages = "39--??",
month = dec,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Feb 25 06:25:24 MST 2023",
bibsource = "http://www.fq.math.ca/60-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/60-5/belkhir.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Benjamin:2022:CHTa,
author = "Arthur T. Benjamin and Daniela Elizondo",
title = "Counting on {Hosoya}'s Triangle",
journal = j-FIB-QUART,
volume = "60",
number = "5",
pages = "47--??",
month = dec,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Feb 25 06:25:24 MST 2023",
bibsource = "http://www.fq.math.ca/60-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/60-5/benjamin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ching:2022:PCDa,
author = "Hsin-Yun Ching and Rigoberto Fl{\'o}rez and F. Luca
and Antara Mukherjee and J. C. Saunders",
title = "Primes and Composites in the Determinant {Hosoya}
Triangle",
journal = j-FIB-QUART,
volume = "60",
number = "5",
pages = "56--??",
month = dec,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Feb 25 06:25:24 MST 2023",
bibsource = "http://www.fq.math.ca/60-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/60-5/ching.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cui:2022:SRRa,
author = "Hao Cui and Xiaoyu Cui and Sophia C. Davis and Irfan
Durmi{\'c} and Qingcheng Hu and Lisa Liu and Steven J.
Miller and Fengping Ren and Alicia Smith Reina and
Eliel Sosis",
title = "Sums of Reciprocals of Recurrence Relations",
journal = j-FIB-QUART,
volume = "60",
number = "5",
pages = "111--??",
month = dec,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Feb 25 06:25:24 MST 2023",
bibsource = "http://www.fq.math.ca/60-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/60-5/cui.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Dougherty-Bliss:2022:MCFa,
author = "Robert Dougherty-Bliss",
title = "The Meta-{C}-Finite Ansatz",
journal = j-FIB-QUART,
volume = "60",
number = "5",
pages = "143--??",
month = dec,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Feb 25 06:25:24 MST 2023",
bibsource = "http://www.fq.math.ca/60-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/60-5/dougherty-bliss.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Evans:2022:IDAa,
author = "Emily Evans and Russell Jay Hendel",
title = "An Infinite 2-Dimensional Array Associated With
Electric Circuits",
journal = j-FIB-QUART,
volume = "60",
number = "5",
pages = "151--??",
month = dec,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Feb 25 06:25:24 MST 2023",
bibsource = "http://www.fq.math.ca/60-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/60-5/evans.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hendel:2022:SFSa,
author = "Russell Jay Hendel",
title = "A System of Four Simultaneous Recursions:
Generalization of the {Ledin--Shannon--Ollerton}
Identity",
journal = j-FIB-QUART,
volume = "60",
number = "5",
pages = "172--??",
month = dec,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Feb 25 06:25:24 MST 2023",
bibsource = "http://www.fq.math.ca/60-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/60-5/hendel.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hopkins:2022:VGAa,
author = "Brian Hopkins and Aram Tangboonduangjit",
title = "Verifying and Generalizing {Arndt}'s Compositions",
journal = j-FIB-QUART,
volume = "60",
number = "5",
pages = "181--??",
month = dec,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Feb 25 06:25:24 MST 2023",
bibsource = "http://www.fq.math.ca/60-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/60-5/hopkins.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kirgizov:2022:BWN,
author = "Sergey Kirgizov",
title = "{$ \mathbb {Q} $-bonacci} Words and Numbers",
journal = j-FIB-QUART,
volume = "60",
number = "5",
pages = "187--??",
month = dec,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Feb 25 06:25:24 MST 2023",
bibsource = "http://www.fq.math.ca/60-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/60-5/kirgizov1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kirgizov:2022:PGBa,
author = "Sergey Kirgizov and Jos{\'e} L. Ram{\'\i}rez",
title = "Polyominoes and Graphs Built From {Fibonacci} Words",
journal = j-FIB-QUART,
volume = "60",
number = "5",
pages = "196--??",
month = dec,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Feb 25 06:25:24 MST 2023",
bibsource = "http://www.fq.math.ca/60-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/60-5/kirgizov2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kuloglu:2022:NSFa,
author = "Bahar Kulo{\u{g}}lu and Engin {\"O}zkan and Anthony G.
Shannon",
title = "The {Narayana} Sequence in Finite Groups",
journal = j-FIB-QUART,
volume = "60",
number = "5",
pages = "212--??",
month = dec,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Feb 25 06:25:24 MST 2023",
bibsource = "http://www.fq.math.ca/60-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/60-5/kologlu.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Martinez:2022:GZTa,
author = "Thomas C. Martinez and Steven J. Miller and Clayton
Mizgerd and Chenyang Sun",
title = "Generalizing {Zeckendorf}'s Theorem to Homogeneous
Linear Recurrences, {I}",
journal = j-FIB-QUART,
volume = "60",
number = "5",
pages = "222--??",
month = dec,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Feb 25 06:25:24 MST 2023",
bibsource = "http://www.fq.math.ca/60-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/60-5/martinez1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Martinez:2022:GZTb,
author = "Thomas C. Martinez and Steven J. Miller and Clayton
Mizgerd and Jack Murphy and Chenyang Sun",
title = "Generalizing {Zeckendorf}'s Theorem to Homogeneous
Linear Recurrences, {II}",
journal = j-FIB-QUART,
volume = "60",
number = "5",
pages = "231--??",
month = dec,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Feb 25 06:25:24 MST 2023",
bibsource = "http://www.fq.math.ca/60-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/60-5/martinez2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Mbirika:2022:GSC,
author = "aBa Mbirika and J{\"u}rgen Spilker",
title = "{GCD} of Sums of $k$ Consecutive Squares of
Generalized {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "60",
number = "5",
pages = "255--??",
month = dec,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Feb 25 06:25:24 MST 2023",
bibsource = "http://www.fq.math.ca/60-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/60-5/mbirika.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Miller:2022:WSGa,
author = "Steven J. Miller and Eliel Sosis and Jingkai Ye",
title = "Winning Strategies for Generalized {Zeckendorf}
Games",
journal = j-FIB-QUART,
volume = "60",
number = "5",
pages = "270--??",
month = dec,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Feb 25 06:25:24 MST 2023",
bibsource = "http://www.fq.math.ca/60-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/60-5/miller1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Miller:2022:WIFa,
author = "Steven J. Miller and Fei Peng and Tudor Popescu and
Nawapan Wattanawanichkul",
title = "Walking to Infinity on the {Fibonacci} Sequence",
journal = j-FIB-QUART,
volume = "60",
number = "5",
pages = "293--??",
month = dec,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Feb 25 06:25:24 MST 2023",
bibsource = "http://www.fq.math.ca/60-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/60-5/miller2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Northshield:2022:SGFa,
author = "Sam Northshield",
title = "Some Generalizations of a Formula of {Reznick}",
journal = j-FIB-QUART,
volume = "60",
number = "5",
pages = "299--??",
month = dec,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Feb 25 06:25:24 MST 2023",
bibsource = "http://www.fq.math.ca/60-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/60-5/northshield.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ray:2022:DENa,
author = "Prasanta Kumar Ray and Kisan Bhoi",
title = "On the {Diophantine} equation {$ N_n = x^a \pm x^b + 1
$}",
journal = j-FIB-QUART,
volume = "60",
number = "5",
pages = "316--??",
month = dec,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Feb 25 06:25:24 MST 2023",
bibsource = "http://www.fq.math.ca/60-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/60-5/ray.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Schumacher:2022:SCFa,
author = "Raphael Schumacher",
title = "The Self-Counting Flow",
journal = j-FIB-QUART,
volume = "60",
number = "5",
pages = "324--??",
month = dec,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Feb 25 06:25:24 MST 2023",
bibsource = "http://www.fq.math.ca/60-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/60-5/schumacher.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Smajlovic:2022:GTZa,
author = "Lejla Smajlovi{\'c} and Zenan {\v{S}}abanac and Lamija
{\v{S}}{\'c}eta",
title = "On the Generalized {Tribonacci} Zeta Function",
journal = j-FIB-QUART,
volume = "60",
number = "5",
pages = "344--??",
month = dec,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Feb 25 06:25:24 MST 2023",
bibsource = "http://www.fq.math.ca/60-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/60-5/smajlovic1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Smajlovic:2022:HTZa,
author = "Lejla Smajlovi{\'c} and Zenan {\v{S}}abanac and Lamija
{\v{S}}{\'c}eta",
title = "On the {Hurwitz}-Type Zeta Function Associated to the
{Lucas} Sequence",
journal = j-FIB-QUART,
volume = "60",
number = "5",
pages = "355--??",
month = dec,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Feb 25 06:25:24 MST 2023",
bibsource = "http://www.fq.math.ca/60-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/60-5/smajlovic2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Sonrod:2022:SPFa,
author = "Earth Sonrod and Kate Tanner and Colin Leyner",
title = "Some Properties of the {Fibonacci--Pascal} Triangle",
journal = j-FIB-QUART,
volume = "60",
number = "5",
pages = "372--??",
month = dec,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Feb 25 06:25:24 MST 2023",
bibsource = "http://www.fq.math.ca/60-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/60-5/sonrod.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Tiebekabe:2022:DE,
author = "Pagdame Tiebekabe and Isma{\"\i}la Diouf",
title = "On the {Diophantine} equation {$ F_{n_1} + F_{n_2} +
F_{n_3} + F_{n_4} + F_{n_5} = 2^a $}",
journal = j-FIB-QUART,
volume = "60",
number = "5",
pages = "384--??",
month = dec,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Feb 25 06:25:24 MST 2023",
bibsource = "http://www.fq.math.ca/60-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/60-5/tiebekabe.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Editor:2022:PS,
author = "Steven J. Miller",
title = "Problem Section",
journal = j-FIB-QUART,
volume = "60",
number = "5",
pages = "401--??",
month = dec,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Feb 25 06:25:24 MST 2023",
bibsource = "http://www.fq.math.ca/60-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/60-5/problems.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2022:MBS,
author = "Anonymous",
title = "Mathematics books for sale (as a fundraiser)",
journal = j-FIB-QUART,
volume = "60",
number = "5",
pages = "403--??",
month = dec,
year = "2022",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Feb 25 06:25:24 MST 2023",
bibsource = "http://www.fq.math.ca/60-.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Papers1/60-5/booksale.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Koshy:2023:SIJa,
author = "Thomas Koshy",
title = "Sums Involving {Jacobsthal} Polynomials",
journal = j-FIB-QUART,
volume = "61",
number = "1",
pages = "2--??",
month = feb,
year = "2023",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Feb 25 06:25:29 MST 2023",
bibsource = "http://www.fq.math.ca/61-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/61-1/koshy1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Koshy:2023:ASIa,
author = "Thomas Koshy",
title = "Additional Sums Involving {Gibonacci} Polynomials",
journal = j-FIB-QUART,
volume = "61",
number = "1",
pages = "12--??",
month = feb,
year = "2023",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Feb 25 06:25:29 MST 2023",
bibsource = "http://www.fq.math.ca/61-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/61-1/koshy2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Allen:2023:IIT,
author = "Michael A. Allen and Kenneth Edwards",
title = "Identities Involving the {Tribonacci} Numbers Squared
Via Tilings with Combs",
journal = j-FIB-QUART,
volume = "61",
number = "1",
pages = "21--??",
month = feb,
year = "2023",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Feb 25 06:25:29 MST 2023",
bibsource = "http://www.fq.math.ca/61-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/61-1/allen.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Faber:2023:IWS,
author = "Xander Faber and Jon Grantham",
title = "On Integers Whose Sum Is the Reverse of Their
Product",
journal = j-FIB-QUART,
volume = "61",
number = "1",
pages = "28--??",
month = feb,
year = "2023",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Feb 25 06:25:29 MST 2023",
bibsource = "http://www.fq.math.ca/61-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/61-1/faber.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Koshy:2023:ASIb,
author = "Thomas Koshy",
title = "Additional Sums Involving {Gibonacci} Polynomials:
Graph-Theoretic Confirmations",
journal = j-FIB-QUART,
volume = "61",
number = "1",
pages = "42--??",
month = feb,
year = "2023",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Feb 25 06:25:29 MST 2023",
bibsource = "http://www.fq.math.ca/61-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/61-1/koshy3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Paulsen:2023:CWS,
author = "William Paulsen",
title = "{Calkin--Wilf} Sequences for Irrational Numbers",
journal = j-FIB-QUART,
volume = "61",
number = "1",
pages = "51--??",
month = feb,
year = "2023",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Feb 25 06:25:29 MST 2023",
bibsource = "http://www.fq.math.ca/61-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/61-1/paulsen.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Koshy:2023:ASIc,
author = "Thomas Koshy",
title = "Additional Sums Involving {Gibonacci} Polynomials
Revisited",
journal = j-FIB-QUART,
volume = "61",
number = "1",
pages = "60--??",
month = feb,
year = "2023",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Feb 25 06:25:29 MST 2023",
bibsource = "http://www.fq.math.ca/61-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/61-1/koshy4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Adedji:2023:FLN,
author = "Kou{\`e}ssi Norbert Ad{\'e}dji and Alan Filipin and
Salah Eddine Rihane and Alain Togb{\'e}",
title = "{Fibonacci} or {Lucas} Numbers That Are Concatenations
of Two g-Repdigits",
journal = j-FIB-QUART,
volume = "61",
number = "1",
pages = "68--??",
month = feb,
year = "2023",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Feb 25 06:25:29 MST 2023",
bibsource = "http://www.fq.math.ca/61-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/61-1/adedji.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kwong:2023:EPSa,
author = "Harris Kwong",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "61",
number = "1",
pages = "84--??",
month = feb,
year = "2023",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Feb 25 06:25:29 MST 2023",
bibsource = "http://www.fq.math.ca/61-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/FQElemProbFeb2023.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Frontczak:2023:APSa,
author = "Robert Frontczak",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "61",
number = "1",
pages = "91--??",
month = feb,
year = "2023",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Feb 25 06:25:29 MST 2023",
bibsource = "http://www.fq.math.ca/61-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/AdvProbFeb2023.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Koshy:2023:SIGa,
author = "Thomas Koshy",
title = "Sums Involving {Gibonacci} Polynomial Squares",
journal = j-FIB-QUART,
volume = "61",
number = "2",
pages = "98--??",
month = may,
year = "2023",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed May 17 11:08:54 MDT 2023",
bibsource = "http://www.fq.math.ca/61-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/61-2/koshy1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Dekking:2023:RNN,
author = "Michel Dekking and Ad van Loon",
title = "On the Representation of the Natural Numbers by Powers
of the Golden Mean",
journal = j-FIB-QUART,
volume = "61",
number = "2",
pages = "105--??",
month = may,
year = "2023",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed May 17 11:08:54 MDT 2023",
bibsource = "http://www.fq.math.ca/61-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/61-2/dekking.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Koshy:2023:SIGb,
author = "Thomas Koshy",
title = "Sums Involving {Gibonacci} Polynomial Squares:
Graph-theoretic Confirmations",
journal = j-FIB-QUART,
volume = "61",
number = "2",
pages = "119--??",
month = may,
year = "2023",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed May 17 11:08:54 MDT 2023",
bibsource = "http://www.fq.math.ca/61-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/61-2/koshy2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Parks:2023:SKB,
author = "Harold R. Parks and Dean C. Wills",
title = "Sums of $k$-{Bonacci} Numbers",
journal = j-FIB-QUART,
volume = "61",
number = "2",
pages = "129--??",
month = may,
year = "2023",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed May 17 11:08:54 MDT 2023",
bibsource = "http://www.fq.math.ca/61-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/61-2/parks.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Koshy:2023:SIJb,
author = "Thomas Koshy",
title = "Sums Involving {Jacobsthal} Polynomial Squares",
journal = j-FIB-QUART,
volume = "61",
number = "2",
pages = "135--??",
month = may,
year = "2023",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed May 17 11:08:54 MDT 2023",
bibsource = "http://www.fq.math.ca/61-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/61-2/koshy3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Campbell:2023:SFN,
author = "John M. Campbell",
title = "Sums of {Fibonacci} Numbers Indexed by Integer Parts",
journal = j-FIB-QUART,
volume = "61",
number = "2",
pages = "143--??",
month = may,
year = "2023",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed May 17 11:08:54 MDT 2023",
bibsource = "http://www.fq.math.ca/61-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/61-2/campbell.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Koshy:2023:SIGc,
author = "Thomas Koshy",
title = "Sums Involving {Gibonacci} Polynomial Squares
Revisited",
journal = j-FIB-QUART,
volume = "61",
number = "2",
pages = "153--??",
month = may,
year = "2023",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed May 17 11:08:54 MDT 2023",
bibsource = "http://www.fq.math.ca/61-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/61-2/koshy4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Leung:2023:PER,
author = "King Shun Leung",
title = "$ \phi $-Expansions of Rationals",
journal = j-FIB-QUART,
volume = "61",
number = "2",
pages = "162--??",
month = may,
year = "2023",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed May 17 11:08:54 MDT 2023",
bibsource = "http://www.fq.math.ca/61-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/61-2/leung.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Noppakaew:2023:FNK,
author = "Passawan Noppakaew and Pavita Kanwarunyu and Parit
Wanitchatchawan",
title = "$k$-{Fibonacci} Numbers and $k$-{Lucas} Numbers in
{Beatty} Sequences Generated by Powers of Metallic
Means",
journal = j-FIB-QUART,
volume = "61",
number = "2",
pages = "167--??",
month = may,
year = "2023",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed May 17 11:08:54 MDT 2023",
bibsource = "http://www.fq.math.ca/61-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/61-2/noppakaew.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kwong:2023:EPSb,
author = "Harris Kwong",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "61",
number = "2",
pages = "178--??",
month = may,
year = "2023",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed May 17 11:08:54 MDT 2023",
bibsource = "http://www.fq.math.ca/61-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/FQElemProbMay2023.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Frontczak:2023:APSb,
author = "Robert Frontczak",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "61",
number = "2",
pages = "185--??",
month = may,
year = "2023",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed May 17 11:08:54 MDT 2023",
bibsource = "http://www.fq.math.ca/61-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/AdvProbMay2023.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Chu:2023:NFS,
author = "H{\`u}ng Vi{\.{\^e}t} Chu",
title = "A Note on the {Fibonacci} Sequence and {Schreier}-Type
Sets",
journal = j-FIB-QUART,
volume = "61",
number = "3",
pages = "194--??",
month = aug,
year = "2023",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Aug 21 08:35:06 MDT 2023",
bibsource = "http://www.fq.math.ca/61-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/61-3/chu.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Koshy:2023:SIG,
author = "Thomas Koshy",
title = "Sums Involving {Gibonacci} Polynomial Squares:
Generalizations",
journal = j-FIB-QUART,
volume = "61",
number = "3",
pages = "197--??",
month = aug,
year = "2023",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Aug 21 08:35:06 MDT 2023",
bibsource = "http://www.fq.math.ca/61-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/61-3/koshy1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Koshy:2023:ASId,
author = "Thomas Koshy",
title = "Additional Sums Involving {Gibonacci} Polynomial
Squares",
journal = j-FIB-QUART,
volume = "61",
number = "3",
pages = "207--??",
month = aug,
year = "2023",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Aug 21 08:35:06 MDT 2023",
bibsource = "http://www.fq.math.ca/61-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/61-3/koshy2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Shallit:2023:STC,
author = "Jeffrey Shallit",
title = "Some {Tribonacci} Conjectures",
journal = j-FIB-QUART,
volume = "61",
number = "3",
pages = "214--??",
month = aug,
year = "2023",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Aug 21 08:35:06 MDT 2023",
bibsource = "http://www.fq.math.ca/61-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/61-3/shallit.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Koshy:2023:ASIe,
author = "Thomas Koshy",
title = "Additional Sums Involving {Jacobsthal} Polynomial
Squares",
journal = j-FIB-QUART,
volume = "61",
number = "3",
pages = "222--??",
month = aug,
year = "2023",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Aug 21 08:35:06 MDT 2023",
bibsource = "http://www.fq.math.ca/61-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/61-3/koshy3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Ulas:2023:RGD,
author = "Maciej Ulas",
title = "Representing Generalized Derangements as Sums of Three
Squares",
journal = j-FIB-QUART,
volume = "61",
number = "3",
pages = "231--??",
month = aug,
year = "2023",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Aug 21 08:35:06 MDT 2023",
bibsource = "http://www.fq.math.ca/61-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/61-3/ulas.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Rittaud:2023:FLS,
author = "Beno{\^\i}t Rittaud",
title = "{Fibonacci}-like Sequences for Variants of the {Tower
of Hanoi}, with Corresponding Graphs and {Gray} Codes",
journal = j-FIB-QUART,
volume = "61",
number = "3",
pages = "240--??",
month = aug,
year = "2023",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Aug 21 08:35:06 MDT 2023",
bibsource = "http://www.fq.math.ca/61-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/61-3/rittaud.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Moura:2023:RRL,
author = "Guilherme Zeus Dantas E Moura and Andrew Keisling and
Astrid Lilly and Annika Mauro and Steven J. Miller and
Matthew Phang and Santiago Velazquez Iannuzzelli",
title = "Recurrence Relations for {$S$}-Legal Index Difference
Sequences",
journal = j-FIB-QUART,
volume = "61",
number = "3",
pages = "257--??",
month = aug,
year = "2023",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Aug 21 08:35:06 MDT 2023",
bibsource = "http://www.fq.math.ca/61-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/61-3/moura.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kwong:2023:EPSc,
author = "Harris Kwong",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "61",
number = "3",
pages = "275--??",
month = aug,
year = "2023",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Aug 21 08:35:06 MDT 2023",
bibsource = "http://www.fq.math.ca/61-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/ElemProSolnAugust2023.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Frontczak:2023:APSc,
author = "Robert Frontczak",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "61",
number = "3",
pages = "282--??",
month = aug,
year = "2023",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Aug 21 08:35:06 MDT 2023",
bibsource = "http://www.fq.math.ca/61-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/AdvProbAug2023.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Koshy:2023:ISIa,
author = "Thomas Koshy",
title = "Infinite Sums Involving {Gibonacci} Polynomials
Revisited: Generalizations",
journal = j-FIB-QUART,
volume = "61",
number = "4",
pages = "291--??",
month = nov,
year = "2023",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Mar 1 08:23:03 MST 2024",
bibsource = "http://www.fq.math.ca/61-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/61-4/koshy1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2023:TNP,
author = "Florian Luca and Japhet Odjoumani and Alain
Togb{\'e}",
title = "{Tribonacci} Numbers That Are Products of Two
{Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "61",
number = "4",
pages = "298--??",
month = nov,
year = "2023",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Mar 1 08:23:03 MST 2024",
bibsource = "http://www.fq.math.ca/61-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/61-4/luca.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Koshy:2023:ISIb,
author = "Thomas Koshy",
title = "Infinite Sums Involving {Jacobsthal} Polynomials:
Generalizations",
journal = j-FIB-QUART,
volume = "61",
number = "4",
pages = "305--??",
month = nov,
year = "2023",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Mar 1 08:23:03 MST 2024",
bibsource = "http://www.fq.math.ca/61-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/61-4/koshy2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Koshy:2023:SITa,
author = "Thomas Koshy",
title = "Sums Involving Two Classes of {Gibonacci}
Polynomials",
journal = j-FIB-QUART,
volume = "61",
number = "4",
pages = "312--??",
month = nov,
year = "2023",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Mar 1 08:23:03 MST 2024",
bibsource = "http://www.fq.math.ca/61-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/61-4/koshy3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Austin:2023:PTP,
author = "Jathan Austin",
title = "On {Pythagorean} Triple Preserving Matrices That
Contain {Fibonacci} Numbers",
journal = j-FIB-QUART,
volume = "61",
number = "4",
pages = "321--??",
month = nov,
year = "2023",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Mar 1 08:23:03 MST 2024",
bibsource = "http://www.fq.math.ca/61-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/61-4/austin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Koshy:2023:SITb,
author = "Thomas Koshy",
title = "Sums Involving Two Classes of {Gibonacci} Polynomials
Revisited",
journal = j-FIB-QUART,
volume = "61",
number = "4",
pages = "327--??",
month = nov,
year = "2023",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Mar 1 08:23:03 MST 2024",
bibsource = "http://www.fq.math.ca/61-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/61-4/koshy4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Koshy:2023:ASI,
author = "Thomas Koshy",
title = "Additional Sums Involving {Gibonacci} Polynomial
Squares Revisited",
journal = j-FIB-QUART,
volume = "61",
number = "4",
pages = "334--??",
month = nov,
year = "2023",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Mar 1 08:23:03 MST 2024",
bibsource = "http://www.fq.math.ca/61-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/61-4/koshy5.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Nyblom:2023:DTD,
author = "Michael Nyblom",
title = "Deleting Terms of the Divergent $p$-Series and
Reciprocals of Primes Series Using the {Thue--Morse}
Sequence",
journal = j-FIB-QUART,
volume = "61",
number = "4",
pages = "339--??",
month = nov,
year = "2023",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Mar 1 08:23:03 MST 2024",
bibsource = "http://www.fq.math.ca/61-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/61-4/nyblom.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Koshy:2023:MSI,
author = "Thomas Koshy",
title = "More Sums Involving {Gibonacci} Polynomial Squares",
journal = j-FIB-QUART,
volume = "61",
number = "4",
pages = "346--??",
month = nov,
year = "2023",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Mar 1 08:23:03 MST 2024",
bibsource = "http://www.fq.math.ca/61-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/61-4/koshy6.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Sanford:2023:RDS,
author = "Chance Sanford",
title = "A Remark on {Dedekind} Sums and Palindromic Continued
Fractions",
journal = j-FIB-QUART,
volume = "61",
number = "4",
pages = "357--??",
month = nov,
year = "2023",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Mar 1 08:23:03 MST 2024",
bibsource = "http://www.fq.math.ca/61-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/61-4/sanford.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Tuenter:2023:TFS,
author = "Hans J. H. Tuenter",
title = "A Triple {Fibonacci} Sum and Some Historical Notes",
journal = j-FIB-QUART,
volume = "61",
number = "4",
pages = "361--??",
month = nov,
year = "2023",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Mar 1 08:23:03 MST 2024",
bibsource = "http://www.fq.math.ca/61-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/61-4/tuenter.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kwong:2023:EPSd,
author = "Harris Kwong",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "61",
number = "4",
pages = "367--??",
month = nov,
year = "2023",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Mar 1 08:23:03 MST 2024",
bibsource = "http://www.fq.math.ca/61-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/FQElemProbNov2023.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Frontczak:2023:APSd,
author = "Robert Frontczak",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "61",
number = "4",
pages = "374--??",
month = nov,
year = "2023",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Mar 1 08:23:03 MST 2024",
bibsource = "http://www.fq.math.ca/61-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/NovAdvProb2023.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2023:VI,
author = "Anonymous",
title = "Volume Index",
journal = j-FIB-QUART,
volume = "61",
number = "4",
pages = "382--??",
month = nov,
year = "2023",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Mar 1 08:23:03 MST 2024",
bibsource = "http://www.fq.math.ca/61-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Volume_Index/VolumeIndex2023.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2024:FCAa,
author = "Anonymous",
title = "{Fibonacci} Conference Announcement",
journal = j-FIB-QUART,
volume = "62",
number = "1",
pages = "2--??",
month = feb,
year = "2024",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Mar 1 08:23:05 MST 2024",
bibsource = "http://www.fq.math.ca/62-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Announcements/ConfAnn2024-Feb.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Garcia-Fernandezsesma:2024:AZG,
author = "Diego Garcia-Fernandezsesma and Steven J. Miller and
Thomas Rascon and Risa Vandegrift and Ajmain Yamin",
title = "The Accelerated {Zeckendorf} Game",
journal = j-FIB-QUART,
volume = "62",
number = "1",
pages = "3--??",
month = feb,
year = "2024",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Mar 1 08:23:05 MST 2024",
bibsource = "http://www.fq.math.ca/62-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/62-1/garcia-fernandezsesma.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Jones:2024:SSS,
author = "Michael A. Jones and Brittany C. Ohlinger",
title = "Self-Similar Structure of {$P$}-Positions of the Game
{Euclid}",
journal = j-FIB-QUART,
volume = "62",
number = "1",
pages = "15--??",
month = feb,
year = "2024",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Mar 1 08:23:05 MST 2024",
bibsource = "http://www.fq.math.ca/62-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/62-1/jones.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Koshy:2024:MSI,
author = "Thomas Koshy",
title = "More Sums Involving {Gibonacci} Polynomial Squares
Revisited",
journal = j-FIB-QUART,
volume = "62",
number = "1",
pages = "29--??",
month = feb,
year = "2024",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Mar 1 08:23:05 MST 2024",
bibsource = "http://www.fq.math.ca/62-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/62-1/koshy1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Koshy:2024:SICa,
author = "Thomas Koshy",
title = "Sums Involving a Class of {Gibonacci} Polynomial
Squares: Generalizations",
journal = j-FIB-QUART,
volume = "62",
number = "1",
pages = "34--??",
month = feb,
year = "2024",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Mar 1 08:23:05 MST 2024",
bibsource = "http://www.fq.math.ca/62-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/62-1/koshy2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Koshy:2024:SICb,
author = "Thomas Koshy and Zhenguang Gao",
title = "Sums Involving a Class of {Jacobsthal} Polynomial
Squares",
journal = j-FIB-QUART,
volume = "62",
number = "1",
pages = "40--??",
month = feb,
year = "2024",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Mar 1 08:23:05 MST 2024",
bibsource = "http://www.fq.math.ca/62-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/62-1/koshy3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Stanica:2024:ERW,
author = "Andreea M. St{\u{a}}nic{\u{a}} and Gabriela N.
St{\u{a}}nic{\u{a}} and Pantelimon
St{\u{a}}nic{\u{a}}",
title = "An Evaluation of Rationally Weighted Binomial Sums Via
Some Differential and Integral Operators",
journal = j-FIB-QUART,
volume = "62",
number = "1",
pages = "45--??",
month = feb,
year = "2024",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Mar 1 08:23:05 MST 2024",
bibsource = "http://www.fq.math.ca/62-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/62-1/stanica.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Campbell:2024:BSI,
author = "John M. Campbell and Emrah K{\i}l{\i}{\c{c}}",
title = "Binomial Sums Involving Second-Order Linearly
Recurrent Sequences",
journal = j-FIB-QUART,
volume = "62",
number = "1",
pages = "57--??",
month = feb,
year = "2024",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Mar 1 08:23:05 MST 2024",
bibsource = "http://www.fq.math.ca/62-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/62-1/campbell.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Tonien:2024:FPS,
author = "Joseph Tonien",
title = "{Fibonacci} and Pi Squared",
journal = j-FIB-QUART,
volume = "62",
number = "1",
pages = "65--74",
month = feb,
year = "2024",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Mar 1 08:23:05 MST 2024",
bibsource = "http://www.fq.math.ca/62-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/62-1/tonien.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Koshy:2024:SIFa,
author = "Thomas Koshy",
title = "Sums Involving a Family of {Gibonacci} Polynomial
Squares: Generalizations",
journal = j-FIB-QUART,
volume = "62",
number = "1",
pages = "75--??",
month = feb,
year = "2024",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Mar 1 08:23:05 MST 2024",
bibsource = "http://www.fq.math.ca/62-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/62-1/koshy4.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kwong:2024:EPSa,
author = "Harris Kwong",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "62",
number = "1",
pages = "84--??",
month = feb,
year = "2024",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Mar 1 08:23:05 MST 2024",
bibsource = "http://www.fq.math.ca/62-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/FQElemProbFeb2024.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Frontczak:2024:APSa,
author = "Robert Frontczak",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "62",
number = "1",
pages = "90--??",
month = feb,
year = "2024",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Mar 1 08:23:05 MST 2024",
bibsource = "http://www.fq.math.ca/62-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/AdvProbFeb2024.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2024:FCAb,
author = "Anonymous",
title = "{Fibonacci} Conference Announcement",
journal = j-FIB-QUART,
volume = "62",
number = "2",
pages = "98--??",
month = may,
year = "2024",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 30 12:58:39 MDT 2024",
bibsource = "http://www.fq.math.ca/62-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Announcements/ConfAnn2024r3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2024:MBSa,
author = "Anonymous",
title = "Mathematics Books for Sale",
journal = j-FIB-QUART,
volume = "62",
number = "2",
pages = "99--??",
month = may,
year = "2024",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 30 12:58:39 MDT 2024",
bibsource = "http://www.fq.math.ca/62-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Announcements/FQ-ann-2024.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Noguera:2024:CIG,
author = "Maribel Diaz Noguera and Rigoberto Fl{\'o}rez and
Jos{\'e} L. Ram{\'\i}rez and Martha Romero Rojas",
title = "{Catalan} Identities for Generalized {Fibonacci}
Polynomials",
journal = j-FIB-QUART,
volume = "62",
number = "2",
pages = "100--??",
month = may,
year = "2024",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 30 12:58:39 MDT 2024",
bibsource = "http://www.fq.math.ca/62-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/62-2/diaz.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Dekking:2024:CBP,
author = "Michel Dekking and Ad van Loon",
title = "Counting Base Phi Representations",
journal = j-FIB-QUART,
volume = "62",
number = "2",
pages = "112--??",
month = may,
year = "2024",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 30 12:58:39 MDT 2024",
bibsource = "http://www.fq.math.ca/62-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/62-2/dekking.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Grundman:2024:COP,
author = "Helen G. Grundman",
title = "Closing an Open Problem on Negative Base Happy
Numbers",
journal = j-FIB-QUART,
volume = "62",
number = "2",
pages = "125--??",
month = may,
year = "2024",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 30 12:58:39 MDT 2024",
bibsource = "http://www.fq.math.ca/62-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/62-2/grundman.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Koshy:2024:SIFb,
author = "Thomas Koshy and Zhenguang Gao",
title = "Sums Involving a Family of {Jacobsthal} Polynomial
Squares",
journal = j-FIB-QUART,
volume = "62",
number = "2",
pages = "130--??",
month = may,
year = "2024",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 30 12:58:39 MDT 2024",
bibsource = "http://www.fq.math.ca/62-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/62-2/koshy.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Belaggoun:2024:CIB,
author = "Nassima Belaggoun and Hac{\`e}ne Belbachir",
title = "Combinatorial Identities for the Bi-Periodic
{Fibonacci} Numbers Squared",
journal = j-FIB-QUART,
volume = "62",
number = "2",
pages = "136--??",
month = may,
year = "2024",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 30 12:58:39 MDT 2024",
bibsource = "http://www.fq.math.ca/62-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/62-2/belaggoun.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lin:2024:ISI,
author = "Yinqi Lin and Bo Zhou",
title = "Infinite Sums Involving Powers of {Gibonacci}
Polynomials",
journal = j-FIB-QUART,
volume = "62",
number = "2",
pages = "147--??",
month = may,
year = "2024",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 30 12:58:39 MDT 2024",
bibsource = "http://www.fq.math.ca/62-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/62-2/lin.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Tsuno:2024:PVI,
author = "Yuji Tsuno",
title = "Polynomial Values with Integer Coefficients for the
Generating Functions of {Fibonacci} Polynomials",
journal = j-FIB-QUART,
volume = "62",
number = "2",
pages = "157--??",
month = may,
year = "2024",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 30 12:58:39 MDT 2024",
bibsource = "http://www.fq.math.ca/62-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/62-2/tsuno.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kwong:2024:EPSb,
author = "Harris Kwong",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "62",
number = "2",
pages = "173--??",
month = may,
year = "2024",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 30 12:58:39 MDT 2024",
bibsource = "http://www.fq.math.ca/62-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/FQElemProbMay2024.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Frontczak:2024:APSb,
author = "Robert Frontczak",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "62",
number = "2",
pages = "181--??",
month = may,
year = "2024",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 30 12:58:39 MDT 2024",
bibsource = "http://www.fq.math.ca/62-2.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/AdvProbMay2024.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Johnson:2024:RIC,
author = "Marjorie Bicknell Johnson",
title = "A Report on the {21st International Conference on
Fibonacci Numbers and Their Applications}",
journal = j-FIB-QUART,
volume = "62",
number = "3",
pages = "190--??",
month = aug,
year = "2024",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 30 12:58:41 MDT 2024",
bibsource = "http://www.fq.math.ca/62-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Announcements/confreport07202024rev3.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2024:MBSb,
author = "Anonymous",
title = "Mathematics Books for Sale",
journal = j-FIB-QUART,
volume = "62",
number = "3",
pages = "192--??",
month = aug,
year = "2024",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 30 12:58:41 MDT 2024",
bibsource = "http://www.fq.math.ca/62-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Announcements/FQ-ann-Aug2024.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2024:DKG,
author = "Florian Luca",
title = "On the Discriminant of the $k$-Generalized {Fibonacci}
Polynomial, {II}",
journal = j-FIB-QUART,
volume = "62",
number = "3",
pages = "193--??",
month = aug,
year = "2024",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 30 12:58:41 MDT 2024",
bibsource = "http://www.fq.math.ca/62-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/62-3/luca.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kuhapatanakul:2024:NGL,
author = "Kantaphon Kuhapatanakul",
title = "Note on the Generalized {Leonardo} Numbers",
journal = j-FIB-QUART,
volume = "62",
number = "3",
pages = "201--??",
month = aug,
year = "2024",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 30 12:58:41 MDT 2024",
bibsource = "http://www.fq.math.ca/62-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/62-3/kuhapatanakul.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Tafula:2024:KTF,
author = "Christian T{\'a}fula",
title = "Knights Are $ 24 / 13 $ Times Faster than the King",
journal = j-FIB-QUART,
volume = "62",
number = "3",
pages = "208--??",
month = aug,
year = "2024",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 30 12:58:41 MDT 2024",
bibsource = "http://www.fq.math.ca/62-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/62-3/tafula.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Angelini:2024:CSS,
author = "{\'E}ric Angelini and Michael S. Branicky and Giovanni
Resta and N. J. A. Sloane and David W. Wilson",
title = "The Comma Sequence: a Simple Sequence with Bizarre
Properties",
journal = j-FIB-QUART,
volume = "62",
number = "3",
pages = "215--??",
month = aug,
year = "2024",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 30 12:58:41 MDT 2024",
bibsource = "http://www.fq.math.ca/62-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/62-3/angelini.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Bacon:2024:SPO,
author = "Michael R. Bacon and Charles K. Cook",
title = "Some Properties of {Oresme} Numbers and Convolutions
with Various Second Order Sequences",
journal = j-FIB-QUART,
volume = "62",
number = "3",
pages = "233--??",
month = aug,
year = "2024",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 30 12:58:41 MDT 2024",
bibsource = "http://www.fq.math.ca/62-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/62-3/bacon.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Earp-Lynch:2024:EES,
author = "Benjamin Earp-Lynch and Simon Earp-Lynch and Omar
Kihel and Puntani Pongsumpun",
title = "Extension of the Equation {$ \sum^k_{j = 1} j F_j^p =
F_n^p $} to a Family of {Lucas} Sequences",
journal = j-FIB-QUART,
volume = "62",
number = "3",
pages = "241--??",
month = aug,
year = "2024",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 30 12:58:41 MDT 2024",
bibsource = "http://www.fq.math.ca/62-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/62-3/earp-lynch.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kwong:2024:EPSc,
author = "Harris Kwong",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "62",
number = "3",
pages = "258--??",
month = aug,
year = "2024",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 30 12:58:41 MDT 2024",
bibsource = "http://www.fq.math.ca/62-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/FQElemProbAug2024.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Frontczak:2024:APSc,
author = "Robert Frontczak",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "62",
number = "3",
pages = "265--??",
month = aug,
year = "2024",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Sep 30 12:58:41 MDT 2024",
bibsource = "http://www.fq.math.ca/62-3.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/AugAdvProb2024.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Iwasaki:2024:NCK,
author = "Haruo Iwasaki",
title = "A New Classification of the {Kaprekar} Numbers",
journal = j-FIB-QUART,
volume = "62",
number = "4",
pages = "275--??",
month = nov,
year = "2024",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Nov 23 14:36:24 MST 2024",
bibsource = "http://www.fq.math.ca/62-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/62-4/iwasaki.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Liptai:2024:CFR,
author = "K{\'a}lm{\'a}n Liptai and L{\'a}szl{\'o} N{\'e}meth
and Tam{\'a}s Szak{\'a}cs and L{\'a}szl{\'o} Szalay",
title = "On Certain {Fibonacci} Representations",
journal = j-FIB-QUART,
volume = "62",
number = "4",
pages = "282--??",
month = nov,
year = "2024",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Nov 23 14:36:24 MST 2024",
bibsource = "http://www.fq.math.ca/62-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/62-4/liptai.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Evans:2024:RCP,
author = "Emily J. Evans and Russell Jay Hendel",
title = "Recursions and Characteristic Polynomials of the Rows
of the Circuit Array",
journal = j-FIB-QUART,
volume = "62",
number = "4",
pages = "290--??",
month = nov,
year = "2024",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Nov 23 14:36:24 MST 2024",
bibsource = "http://www.fq.math.ca/62-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/62-4/evans.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Chu:2024:WST,
author = "H{\`u}ng Vi\SGMLentity{7879}t Chu and Zachary Louis
Vasseur",
title = "Weighted {Schreier}-type Sets and the {Fibonacci}
Sequence",
journal = j-FIB-QUART,
volume = "62",
number = "4",
pages = "305--??",
month = nov,
year = "2024",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Nov 23 14:36:24 MST 2024",
bibsource = "http://www.fq.math.ca/62-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/62-4/chu.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Luca:2024:EFL,
author = "Florian Luca and Makoko Campbell Manape",
title = "On the {Euler} Function of Linearly Recurrence
Sequences",
journal = j-FIB-QUART,
volume = "62",
number = "4",
pages = "316--??",
month = nov,
year = "2024",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Nov 23 14:36:24 MST 2024",
bibsource = "http://www.fq.math.ca/62-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/62-4/luca.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Kwong:2024:EPSd,
author = "Harris Kwong",
title = "Elementary Problems and Solutions",
journal = j-FIB-QUART,
volume = "62",
number = "4",
pages = "329--??",
month = nov,
year = "2024",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Nov 23 14:36:24 MST 2024",
bibsource = "http://www.fq.math.ca/62-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/FQElemProbNov2024.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Frontczak:2024:APSd,
author = "Robert Frontczak",
title = "Advanced Problems and Solutions",
journal = j-FIB-QUART,
volume = "62",
number = "4",
pages = "337--??",
month = nov,
year = "2024",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Nov 23 14:36:24 MST 2024",
bibsource = "http://www.fq.math.ca/62-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Problems/Nov2024AdvProbv2rev2.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:2024:VI,
author = "Anonymous",
title = "Volume Index",
journal = j-FIB-QUART,
volume = "62",
number = "4",
pages = "345--??",
month = nov,
year = "2024",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Sat Nov 23 14:36:24 MST 2024",
bibsource = "http://www.fq.math.ca/62-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Volume_Index/VolumeIndex2024rev.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Gegenbauer:1893:BLP,
author = "Leopold Gegenbauer",
title = "{Bemerkung {\"u}ber Leonardo Pisano's
{\booktitle{liber Abaci}}}. ({German}) [{Remark} on
{Leonardo Pisano}'s {{\booktitle{liber Abaci}}}]",
journal = j-MONAT-MATH-PHYSIK,
volume = "4",
number = "1",
pages = "402",
year = "1893",
CODEN = "MMPHA8",
DOI = "https://doi.org/10.1007/BF01700325",
ISSN = "0026-9255 (print), 1436-5081 (electronic)",
MRnumber = "1546288",
bibdate = "Thu Jan 31 07:24:51 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Monatshefte f{\"u}r Mathematik und Physik",
journal-URL = "http://link.springer.com/journal/605",
language = "German",
}
@Article{McClenon:1919:LPH,
author = "R. B. McClenon",
title = "{Leonardo of Pisa} and his {{\booktitle{Liber
Quadratorum}}}",
journal = j-AMER-MATH-MONTHLY,
volume = "26",
number = "1",
pages = "1--8",
year = "1919",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2974039",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "Contributed Item",
MRnumber = "1519164",
bibdate = "Thu Jan 31 06:27:48 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Loria:1929:LF,
author = "G. Loria",
title = "{Leonardo Fibonacci}",
journal = "Storia delle mathematiche {I} ({Turin})",
volume = "??",
number = "??",
pages = "379--410",
month = "????",
year = "1929",
bibdate = "Thu Jan 31 06:08:19 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
}
@Article{Carruccio:1939:LRC,
author = "Ettore Carruccio",
title = "L'estrazione di radice cubica, mediante inserzione di
due medie proporzionali fra due segmenti dati, in
{Leonardo Pisano}. ({Italian}) [{The} extraction of the
cube root, by inserting two mean proportions between
two data segments, in {Leonardo of Pisa}]",
journal = "Period. Mat.",
volume = "19",
pages = "189--197",
year = "1939",
MRclass = "01.0X",
MRnumber = "0000793 (1,130a)",
bibdate = "Thu Jan 31 07:24:51 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
language = "Italian",
}
@Article{Frajese:1940:LGL,
author = "Attilio Frajese",
title = "L'algebra geometrica in {Leonardo Pisano}. ({Italian})
[{The} geometric algebra of {Leonardo Pisano}]",
journal = "Boll. Un. Mat. Ital. (2)",
volume = "2",
pages = "363--365",
year = "1940",
MRclass = "01.0X",
MRnumber = "0002776 (2,114g)",
bibdate = "Thu Jan 31 07:24:51 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
language = "Italian",
}
@Article{Johnston:1940:FSA,
author = "L. S. Johnston",
title = "The {Fibonacci} Sequence and Allied Trigonometric
Identities",
journal = j-AMER-MATH-MONTHLY,
volume = "47",
number = "2",
pages = "85--89",
month = feb,
year = "1940",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:35:47 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Babini:1941:LSL,
author = "Jos{\'e} Babini",
title = "On the linear systems of {Leonardo Pisano}",
journal = "Archeion",
volume = "23",
pages = "57--61",
year = "1941",
MRclass = "01.0X",
MRnumber = "0005048 (3,97l)",
bibdate = "Thu Jan 31 07:24:51 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
}
@Article{Kaplansky:1945:LTM,
author = "Irving Kaplansky",
title = "{Lucas}'s Tests for {Mersenne} Numbers",
journal = j-AMER-MATH-MONTHLY,
volume = "52",
number = "4",
pages = "188--190",
month = apr,
year = "1945",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:45 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Jarden:1946:TTF,
author = "Dov Jarden",
title = "Two Theorems on {Fibonacci}'s Sequence",
journal = j-AMER-MATH-MONTHLY,
volume = "53",
number = "8",
pages = "425--427",
month = oct,
year = "1946",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:17 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Raine:1948:PTF,
author = "Charles W. Raine",
title = "{Pythagorean} triangles from the {Fibonacci} series",
journal = j-SCRIPTA-MATH,
volume = "14",
number = "??",
pages = "164--??",
month = "????",
year = "1948",
ISSN = "0036-9713",
bibdate = "Sat Nov 4 14:32:18 2023",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/scripta-math.bib",
ajournal = "Scripta Math.",
fjournal = "Scripta Mathematica: A Quarterly Journal Devoted to
the Philosophy, History, and Expository Treatment of
Mathematics",
}
@Article{Agostini:1949:LDL,
author = "A. Agostini",
title = "L'uso delle lettere nel {{\booktitle{Liber abaci}}} di
{Leonardo Fibonacci}. ({Italian}) [{The} use of the
letters in {{\booktitle{Liber abaci}}} {Leonardo
Fibonacci}]",
journal = "Boll. Un. Mat. Ital. (3)",
volume = "4",
number = "??",
pages = "282--287",
month = "????",
year = "1949",
MRclass = "01.0X",
MRnumber = "0034309 (11,572f)",
bibdate = "Thu Jan 31 05:57:50 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
language = "Italian",
}
@Article{Beard:1950:GSF,
author = "Robert S. Beard",
title = "The golden section and {Fibonacci} numbers",
journal = j-SCRIPTA-MATH,
volume = "16",
number = "??",
pages = "116--119",
month = "????",
year = "1950",
ISSN = "0036-9713",
bibdate = "Thu Oct 26 11:15:25 2023",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/scripta-math.bib",
ZMnumber = "0037.21803",
acknowledgement = ack-nhfb,
ajournal = "Scripta Math.",
fjournal = "Scripta Mathematica: A Quarterly Journal Devoted to
the Philosophy, History, and Expository Treatment of
Mathematics",
ZBmath = "3056559",
}
@Article{Schub:1950:MFC,
author = "P. Schub",
title = "A minor {Fibonacci} curiosity",
journal = j-SCRIPTA-MATH,
volume = "16",
number = "3",
pages = "214--214",
month = "????",
year = "1950",
ISSN = "0036-9713",
bibdate = "Sat Nov 4 15:12:10 2023",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/scripta-math.bib",
acknowledgement = ack-nhfb,
ajournal = "Scripta Math.",
fjournal = "Scripta Mathematica: A Quarterly Journal Devoted to
the Philosophy, History, and Expository Treatment of
Mathematics",
}
@Article{Candido:1951:RBF,
author = "G. Candido",
title = "A relationship between the fourth powers of the terms
of the {Fibonacci} series",
journal = j-SCRIPTA-MATH,
volume = "17",
number = "3-4",
pages = "230--230",
year = "1951",
ISSN = "0036-9713",
bibdate = "Sat Nov 4 13:56:07 2023",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/scripta-math.bib",
acknowledgement = ack-nhfb,
ajournal = "Scripta Math.",
fjournal = "Scripta Mathematica: A Quarterly Journal Devoted to
the Philosophy, History, and Expository Treatment of
Mathematics",
}
@Article{Eisele:1951:BAT,
author = "Carolyn Eisele",
title = "The {{\booktitle{Liber Abaci}}} through the eyes of
{Charles S. Peirce}",
journal = "Scripta Math.",
volume = "17",
pages = "236--259",
year = "1951",
MRclass = "01.0X",
MRnumber = "0045649 (13,612r)",
bibdate = "Thu Jan 31 06:59:23 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
}
@Article{Agostini:1953:LF,
author = "Amedeo Agostini",
title = "{Leonardo Fibonacci}",
journal = j-ARCHIMEDE,
volume = "5",
number = "??",
pages = "205--206",
month = "????",
year = "1953",
ISSN = "0390-5543",
ISSN-L = "0390-5543",
MRclass = "01.0X",
MRnumber = "0057796 (15,276o)",
bibdate = "Thu Jan 31 06:27:48 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Archimede. Rivista per gli Insegnanti e i Cultori di
Matematiche Pure e Applicate",
language = "Italian",
}
@Article{Block:1953:CFS,
author = "D. Block",
title = "Curiosum \# 330: {Fibonacci} summations",
journal = j-SCRIPTA-MATH,
volume = "19",
number = "2--3",
pages = "191--191",
year = "1953",
ISSN = "0036-9713",
bibdate = "Sat Nov 4 14:55:06 2023",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/scripta-math.bib",
acknowledgement = ack-nhfb,
ajournal = "Scripta Math.",
fjournal = "Scripta Mathematica: A Quarterly Journal Devoted to
the Philosophy, History, and Expository Treatment of
Mathematics",
}
@Article{Block:1953:SFI,
author = "Daniel Block",
title = "Symbolic formulae involving {Fibonacci} numbers",
journal = j-SCRIPTA-MATH,
volume = "18",
number = "??",
pages = "306--307",
month = "????",
year = "1953",
ISSN = "0036-9713",
bibdate = "Thu Oct 26 11:15:25 2023",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/scripta-math.bib",
ZMnumber = "0050.01001",
acknowledgement = ack-nhfb,
ajournal = "Scripta Math.",
fjournal = "Scripta Mathematica: A Quarterly Journal Devoted to
the Philosophy, History, and Expository Treatment of
Mathematics",
ZBmath = "3078489",
}
@Article{Rao:1953:SPF,
author = "K. Subba Rao",
title = "Some Properties of {Fibonacci} Numbers",
journal = j-AMER-MATH-MONTHLY,
volume = "60",
number = "10",
pages = "680--684",
month = dec,
year = "1953",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:18 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Ginsburg:1954:RBC,
author = "J. Ginsburg",
title = "A relationship between cubes of {Fibonacci} numbers",
journal = j-SCRIPTA-MATH,
volume = "19",
number = "??",
pages = "242--242",
month = dec,
year = "1954",
ISSN = "0036-9713",
bibdate = "Sat Nov 4 14:13:18 2023",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/scripta-math.bib",
acknowledgement = ack-nhfb,
ajournal = "Scripta Math.",
fjournal = "Scripta Mathematica: A Quarterly Journal Devoted to
the Philosophy, History, and Expository Treatment of
Mathematics",
xxyear = "1953",
}
@Article{Raine:1954:FET,
author = "Charles W. Raine",
title = "{Fibonacci} equiareal triangles",
journal = j-SCRIPTA-MATH,
volume = "20",
number = "??",
pages = "96--98",
month = "????",
year = "1954",
ISSN = "0036-9713",
bibdate = "Thu Oct 26 11:15:25 2023",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/scripta-math.bib",
ZMnumber = "0055.03604",
acknowledgement = ack-nhfb,
ajournal = "Scripta Math.",
fjournal = "Scripta Mathematica: A Quarterly Journal Devoted to
the Philosophy, History, and Expository Treatment of
Mathematics",
language = "Italian",
ZBmath = "3086907",
}
@Article{Reichman:1954:SFI,
author = "Raphael I. Reichman",
title = "A summation formula involving {Fibonacci} numbers",
journal = j-SCRIPTA-MATH,
volume = "20",
number = "??",
pages = "111--112",
month = "????",
year = "1954",
ISSN = "0036-9713",
ISSN-L = "0036-9713",
MRclass = "10.0X",
MRnumber = "62145",
MRreviewer = "H. W. Brinkmann",
bibdate = "Thu Oct 26 11:15:25 2023",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/scripta-math.bib",
ZMnumber = "0055.00803",
acknowledgement = ack-nhfb,
ajournal = "Scripta Math.",
fjournal = "Scripta Mathematica: A Quarterly Journal Devoted to
the Philosophy, History, and Expository Treatment of
Mathematics",
ZBmath = "3086783",
}
@Article{Rao:1955:SSF,
author = "K. Subba Rao",
title = "Some summation formulae involving {Fibonacci}
numbers",
journal = j-SCRIPTA-MATH,
volume = "21",
number = "??",
pages = "214--217",
month = "????",
year = "1955",
ISSN = "0036-9713",
ISSN-L = "0036-9713",
MRclass = "10.0X 11B39",
MRnumber = "72889",
bibdate = "Thu Oct 26 11:15:25 2023",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/scripta-math.bib",
ZMnumber = "0065.00701",
acknowledgement = ack-nhfb,
ajournal = "Scripta Math.",
fjournal = "Scripta Mathematica: A Quarterly Journal Devoted to
the Philosophy, History, and Expository Treatment of
Mathematics",
ZBmath = "3110198",
}
@Article{Means:1956:CNP,
author = "J. H. Means",
title = "Classroom Notes: Predetermined Determinant Values
Using {Fibonacci} Numbers",
journal = j-AMER-MATH-MONTHLY,
volume = "63",
number = "9",
pages = "657--658",
month = nov,
year = "1956",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Fri Jul 9 10:01:38 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Kelisky:1957:FIB,
author = "Richard P. Kelisky",
title = "On formulas involving both the {Bernoulli} and
{Fibonacci} numbers",
journal = j-SCRIPTA-MATH,
volume = "23",
number = "??",
pages = "27--35",
month = "????",
year = "1957",
ISSN = "0036-9713",
ISSN-L = "0036-9713",
MRclass = "33.00",
MRnumber = "98848",
MRreviewer = "L. Carlitz",
bibdate = "Thu Oct 26 11:15:25 2023",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/scripta-math.bib",
acknowledgement = ack-nhfb,
ajournal = "Scripta Math.",
fjournal = "Scripta Mathematica: A Quarterly Journal Devoted to
the Philosophy, History, and Expository Treatment of
Mathematics",
}
@Article{Kelisky:1958:FIB,
author = "Richard P. Kelisky",
title = "On formulas involving both the {Bernoulli} and
{Fibonacci} numbers",
journal = j-SCRIPTA-MATH,
volume = "23",
number = "??",
pages = "27--35",
month = "????",
year = "1958",
ISSN = "0036-9713",
MRclass = "11B68 11B39",
bibdate = "Thu Oct 26 11:15:25 2023",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/scripta-math.bib",
ZMnumber = "0084.06605",
acknowledgement = ack-nhfb,
ajournal = "Scripta Math.",
fjournal = "Scripta Mathematica: A Quarterly Journal Devoted to
the Philosophy, History, and Expository Treatment of
Mathematics",
ZBmath = "3137549",
}
@Article{Ganis:1959:CNN,
author = "Sam E. Ganis",
title = "Classroom Notes: Notes on the {Fibonacci} Sequence",
journal = j-AMER-MATH-MONTHLY,
volume = "66",
number = "2",
pages = "129--130",
month = feb,
year = "1959",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:17 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Ferguson:1960:FS,
author = "David E. Ferguson",
title = "{Fibonaccian} searching",
journal = j-CACM,
volume = "3",
number = "12",
pages = "648--648",
month = dec,
year = "1960",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
MRclass = "94.00",
MRnumber = "22\#6649",
bibdate = "Fri Nov 25 18:19:29 MST 2005",
bibsource = "ftp://ftp.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.acm.org/pubs/contents/journals/cacm/;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
}
@Article{Miles:1960:GFN,
author = "E. P. {Miles, Jr.}",
title = "Generalized {Fibonacci} Numbers and Associated
Matrices",
journal = j-AMER-MATH-MONTHLY,
volume = "67",
number = "8",
pages = "745--752",
month = oct,
year = "1960",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:03 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Shapiro:1960:MNS,
author = "George Shapiro",
title = "Mathematical Notes: Some Properties of the {Fibonacci}
Numbers",
journal = j-AMER-MATH-MONTHLY,
volume = "67",
number = "9",
pages = "876--876",
month = nov,
year = "1960",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:05 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Wall:1960:FSM,
author = "D. D. Wall",
title = "{Fibonacci} Series Modulo $m$",
journal = j-AMER-MATH-MONTHLY,
volume = "67",
number = "6",
pages = "525--532",
month = jun # "\slash " # jul,
year = "1960",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:35:58 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
HDnumber = "135",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Horadam:1961:CGF,
author = "A. F. Horadam",
title = "Corrections: a Generalized {Fibonacci} Sequence",
journal = j-AMER-MATH-MONTHLY,
volume = "68",
number = "7",
pages = "637--637",
month = aug # "\slash " # sep,
year = "1961",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:24 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
JSTOR database",
note = "See \cite{Horadam:1961:GFS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Horadam:1961:FNT,
author = "A. F. Horadam",
title = "{Fibonacci} Number Triples",
journal = j-AMER-MATH-MONTHLY,
volume = "68",
number = "8",
pages = "751--753",
month = oct,
year = "1961",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:27 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Horadam:1961:GFS,
author = "A. F. Horadam",
title = "A Generalized {Fibonacci} Sequence",
journal = j-AMER-MATH-MONTHLY,
volume = "68",
number = "5",
pages = "455--459",
month = may,
year = "1961",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:19 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
JSTOR database",
note = "See corrections \cite{Horadam:1961:CGF}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Juncosa:1961:LEC,
author = "M. L. Juncosa",
title = "Letter to the {Editor}: concerning {Ferguson}'s paper
on {Fibonaccian} searching",
journal = j-CACM,
volume = "4",
number = "6",
pages = "252--252",
month = jun,
year = "1961",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Fri Nov 25 18:19:33 MST 2005",
bibsource = "ftp://ftp.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.acm.org/pubs/contents/journals/cacm/;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
}
@Article{Mamangakis:1961:MNR,
author = "S. E. Mamangakis",
title = "Mathematical Notes: Remarks on the {Fibonacci} Series
Modulo $m$",
journal = j-AMER-MATH-MONTHLY,
volume = "68",
number = "7",
pages = "648--649",
month = aug # "\slash " # sep,
year = "1961",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:24 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
HDnumber = "74",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@InCollection{Vorobev:1961:FN,
author = "Nikolai N. Vorobev",
editor = "Ian Naismith Sneddon",
booktitle = "{Fibonacci} Numbers",
title = "{Fibonacci} Numbers",
volume = "2",
publisher = "Pergamon Press",
address = "Oxford, UK",
pages = "viii + 66",
year = "1961",
ISBN = "0-932750-03-6",
ISBN-13 = "978-0-932750-03-7",
LCCN = "QA241 .V613 1961",
bibdate = "Mon Jan 28 18:47:14 MST 2013",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/tex/bib/datacompression.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "Translation by Halina Moss. Reprinted in
\cite{Vorobev:1983:FN}.",
series = "Popular lectures in mathematics series",
acknowledgement = ack-ds # " and " # ack-nhfb,
rawdata = "Vorobev, Nikolai N. (1983) in Ian N. Sneddon (ed.),
and Halina Moss (translator), {\it Fibonacci Numbers},
New Classics Library.",
xxauthor = "Nikolai N. Vorobiev",
}
@Article{Puckette:1962:RPP,
author = "Stephen Puckette",
title = "Recent Publications: {{\em Popular Lectures in
Mathematics Series, Vol. 1 The Method of Mathematical
Induction}}, by {I. S. Sominskii}; {{\em Popular
Lectures in Mathematics Series, Vol. 2 Fibonacci
Numbers}}, by {N. N. Vorob'ev}; {{\em Popular Lectures
in Mathematics Series, Vol. 3 Some Applications of
Mechanics to Mathematics}}, by {V. A. Uspenskii}; {{\em
Popular Lectures in Mathematics Series, Vol. 4
Geometrical Constructions Using Compasses Only}}, by
{A. N. Kostovskii}; {{\em Popular Lectures in
Mathematics Series, Vol. 5 The Ruler in Geometrical
Constructions}}, by {A. S. Smogorzhevskii}; {{\em
Popular Lectures in Mathematics Series, Vol. 6
Inequalities}}, by {P. P. Korovkin}",
journal = j-AMER-MATH-MONTHLY,
volume = "69",
number = "10",
pages = "1020--1020",
month = dec,
year = "1962",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:55 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Basin:1963:GFS,
author = "S. L. Basin",
title = "Generalized {Fibonacci} Sequences and Squared
Rectangles",
journal = j-AMER-MATH-MONTHLY,
volume = "70",
number = "4",
pages = "372--379",
month = apr,
year = "1963",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:04 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Horadam:1963:MNC,
author = "A. F. Horadam",
title = "Mathematical Notes: Complex {Fibonacci} Numbers and
{Fibonacci} Quaternions",
journal = j-AMER-MATH-MONTHLY,
volume = "70",
number = "3",
pages = "289--291",
month = mar,
year = "1963",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:02 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Krolak:1963:EFS,
author = "P. Krolak and L. Cooper",
title = "An extension of {Fibonaccian} search to several
variables",
journal = j-CACM,
volume = "6",
number = "10",
pages = "639--641",
month = oct,
year = "1963",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
MRclass = "90.30",
MRnumber = "27\#4695",
bibdate = "Fri Nov 25 18:19:49 MST 2005",
bibsource = "ftp://ftp.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.acm.org/pubs/contents/journals/cacm/;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
abstract = "A technique which uses Fibonaccian search concepts has
been developed to solve optimization problems involving
unimodal functions of several variables. The technique
has not been proven to be optimal in the sense that the
one-dimensional Fibonaccian search is. However, it is
valuable for certain kinds of calculations.",
acknowledgement = ack-nhfb,
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
}
@Article{Thoro:1963:CNR,
author = "Dmitri Thoro",
title = "Classroom Notes: Regula Falsi and the {Fibonacci}
Numbers",
journal = j-AMER-MATH-MONTHLY,
volume = "70",
number = "8",
pages = "869--869",
month = oct,
year = "1963",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:14 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Wunderlich:1963:NEF,
author = "M. Wunderlich",
title = "On the Non-Existence of {Fibonacci} Squares (in
{Technical Notes and Short Papers})",
journal = j-MATH-COMPUT,
volume = "17",
number = "84",
pages = "455--457",
month = oct,
year = "1963",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Zeitlin:1963:CNI,
author = "David Zeitlin",
title = "Classroom Notes: On Identities for {Fibonacci}
Numbers",
journal = j-AMER-MATH-MONTHLY,
volume = "70",
number = "9",
pages = "987--991",
month = nov,
year = "1963",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:16 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Alfred:1964:MNR,
author = "U. Alfred",
title = "Mathematical Notes: Relation of Zeros to Periods in
the {Fibonacci} Sequence Modulo a Prime",
journal = j-AMER-MATH-MONTHLY,
volume = "71",
number = "8",
pages = "897--899",
month = oct,
year = "1964",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:37 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Buchanan:1964:MNP,
author = "Floyd Buchanan",
title = "Mathematical Notes: $ {N} $-th Powers in the
{Fibonacci} Series",
journal = j-AMER-MATH-MONTHLY,
volume = "71",
number = "6",
pages = "647--649",
month = jun # "\slash " # jul,
year = "1964",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:32 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Buchanan:1964:MNR,
author = "Floyd Buchanan",
title = "Mathematical Notes: Retraction of {``$ {N} $-th Powers
in the Fibonacci Series''}",
journal = j-AMER-MATH-MONTHLY,
volume = "71",
number = "10",
pages = "1112--1112",
month = dec,
year = "1964",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:42 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Buchanan:1964:MNT,
author = "Floyd Buchanan",
title = "Mathematical Notes: {$N$}-th Powers in the {Fibonacci}
Series",
journal = j-AMER-MATH-MONTHLY,
volume = "71",
number = "6",
pages = "647--649",
month = jun # "\slash " # jul,
year = "1964",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:32 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Federico:1964:MNF,
author = "P. J. Federico",
title = "Mathematical Notes: a {Fibonacci} Perfect Squared
Square",
journal = j-AMER-MATH-MONTHLY,
volume = "71",
number = "4",
pages = "404--406",
month = apr,
year = "1964",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:28 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Kravitz:1964:LTM,
author = "Sidney Kravitz and Murray Berg",
title = "{Lucas}' Test for {Mersenne} Numbers, $ 6000 < p <
7000 $ (in {Technical Notes and Short Papers})",
journal = j-MATH-COMPUT,
volume = "18",
number = "85",
pages = "148--149",
month = jan,
year = "1964",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Arkin:1965:EFN,
author = "Joseph Arkin",
title = "An Extension of the {Fibonacci} Numbers",
journal = j-AMER-MATH-MONTHLY,
volume = "72",
number = "3",
pages = "275--279",
month = mar,
year = "1965",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:48 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Bloom:1965:PGF,
author = "D. M. Bloom",
title = "On Periodicity in Generalized {Fibonacci} Sequences",
journal = j-AMER-MATH-MONTHLY,
volume = "72",
number = "8",
pages = "856--861",
month = oct,
year = "1965",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:00 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{MacLaren:1965:URN,
author = "M. Donald MacLaren and George Marsaglia",
title = "Uniform Random Number Generators",
journal = j-J-ACM,
volume = "12",
number = "1",
pages = "83--89",
month = jan,
year = "1965",
CODEN = "JACOAH",
DOI = "https://doi.org/10.1145/321250.321257",
ISSN = "0004-5411 (print), 1557-735X (electronic)",
ISSN-L = "0004-5411",
MRclass = "65.15",
MRnumber = "30 \#687 (MR 170449)",
bibdate = "Mon Jan 22 17:05:44 MST 2001",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/marsaglia-george.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jacm.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
MathSciNet database",
ZMnumber = "0143.40101",
abstract = "This paper discusses the testing of methods for
generating uniform random numbers in a computer---the
commonly used multiplicative and mixed congruential
generators as well as two new methods. Tests proposed
here are more stringent than those usually applied,
because the usual tests for randomness have passed
several of the commonly-used procedures which
subsequently gave poor results in actual Monte Carlo
calculations. The principal difficulty seems to be that
certain simple functions of $n$-tuples of uniform
random numbers do not have the distribution that
probability theory predicts.\par
Two alternative generating methods are described, one
of them using a table of uniform numbers, the other one
combining two congruential generators. Both of these
methods passed the tests, whereas the conventional
multiplicative and mixed congruential methods did
not.",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Association for Computing Machinery",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401",
keywords = "numerical analysis",
oldlabel = "MacLarenM65",
XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/jacm/MacLarenM65",
}
@Article{Overholt:1965:IFG,
author = "K. J. Overholt",
title = "An Instability in the {Fibonacci} and {Golden Section}
Search Methods",
journal = j-NORDISK-TIDSKR-INFORM-BEHAND,
volume = "5",
number = "4",
pages = "284--286",
year = "1965",
CODEN = "BITTEL, NBITAB",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
bibdate = "Sat Nov 14 09:14:57 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/bit.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Raney:1966:GFS,
author = "George N. Raney",
title = "Generalization of the {Fibonacci} sequence to $n$
dimensions",
journal = j-CAN-J-MATH,
volume = "18",
number = "??",
pages = "332--349",
month = "????",
year = "1966",
CODEN = "CJMAAB",
DOI = "https://doi.org/10.4153/CJM-1966-036-0",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:38:35 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v18/;
https://www.math.utah.edu/pub/tex/bib/canjmath1960.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Gebhardt:1967:GPR,
author = "Friedrich Gebhardt",
title = "Generating Pseudo-Random Numbers by Shuffling a
{Fibonacci} Sequence (in {Technical Notes and Short
Papers})",
journal = j-MATH-COMPUT,
volume = "21",
number = "100",
pages = "708--709",
month = oct,
year = "1967",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/gebhardt-friedrich.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Overholt:1967:NAF,
author = "K. J. Overholt",
title = "Note on {Algorithm 2}: {Fibonacci} search",
journal = j-COMP-J,
volume = "9",
number = "4",
pages = "414--414",
month = feb,
year = "1967",
CODEN = "CMPJA6",
ISSN = "0010-4620 (print), 1460-2067 (electronic)",
ISSN-L = "0010-4620",
bibdate = "Fri Sep 29 08:56:19 MDT 2000",
bibsource = "http://www3.oup.co.uk/computer_journal/hdb/Volume_09/Issue_04/;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "See \cite{Pike:1979:AFS}.",
URL = "http://www3.oup.co.uk/computer_journal/hdb/Volume_09/Issue_04/tiff/414.tif",
acknowledgement = ack-nhfb,
fjournal = "The Computer Journal",
journal-URL = "http://comjnl.oxfordjournals.org/",
}
@Article{Pike:1967:NAF,
author = "M. C. Pike and I. D. Hill and F. D. James",
title = "Note on {Algorithm 2}: {Fibonacci} search, and on
{Algorithm 7}: {MINX}",
journal = j-COMP-J,
volume = "9",
number = "4",
pages = "416--417",
month = feb,
year = "1967",
CODEN = "CMPJA6",
ISSN = "0010-4620 (print), 1460-2067 (electronic)",
ISSN-L = "0010-4620",
bibdate = "Fri Sep 29 08:56:19 MDT 2000",
bibsource = "http://www3.oup.co.uk/computer_journal/hdb/Volume_09/Issue_04/;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "See \cite{Pike:1979:AFS}.",
URL = "http://www3.oup.co.uk/computer_journal/hdb/Volume_09/Issue_04/tiff/416.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_09/Issue_04/tiff/417.tif",
acknowledgement = ack-nhfb,
fjournal = "The Computer Journal",
journal-URL = "http://comjnl.oxfordjournals.org/",
}
@TechReport{Wilkes:1967:CG,
author = "M. V. Wilkes",
title = "Computer Graphics",
type = "Report",
number = "100",
institution = "Centro Studi Calcolatrici Elettroniche (C.S.C.E.)",
address = "Pisa, Italy",
pages = "ii + 18 + 4",
month = "????",
year = "1967",
bibdate = "Tue Sep 10 09:51:28 2024",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wilkes-maurice-v.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "Fibonacci Lecture 1966.",
acknowledgement = ack-nhfb,
author-dates = "Sir Maurice Vincent Wilkes (26 June 1913--29 November
2010)",
RSBM-number = "74",
}
@Article{Krolak:1968:FEF,
author = "Patrick D. Krolak",
title = "Further extensions of {Fibonaccian} search to
nonlinear programming problems",
journal = j-SIAM-J-CONTROL,
volume = "6",
number = "??",
pages = "258--265",
month = "????",
year = "1968",
CODEN = "SJCOA9",
ISSN = "0036-1402 (print), 2469-4231 (electronic)",
ISSN-L = "0036-1402",
MRclass = "90.56",
MRnumber = "39 #2455",
MRreviewer = "T. L. Saaty",
bibdate = "Wed Dec 9 07:58:02 MST 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/siamjcontrol.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Control",
journal-URL = "http://epubs.siam.org/journal/sjcodc",
}
@Article{Arrighi:1969:TGV,
author = "Gino Arrighi",
title = "Il trattato di geometria e la volgarizzazione del
{{\booktitle{Liber quadratorum}}} di {Leonardo Pisano}
del {Codice Palatino 577 (sec XV)} della {Biblioteca
Nazionale di Firenze}. ({Italian}) [The treatise on
geometry and the vulgarization of the
{{\booktitle{Liber quadratorum}}} of {Leonardo Pisano}
in the {Palatino Code 577 (XV century)} the {National
Library of Florence}]",
journal = "Atti Fond. Giorgio Ronchi Contrib. Ist. Naz. Ottica",
volume = "22",
pages = "760--775",
year = "1969",
MRclass = "01.18",
MRnumber = "0253863 (40 \#7076)",
MRreviewer = "N. Swerdlow",
bibdate = "Thu Jan 31 07:24:51 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
language = "Italian",
}
@Article{Barakat:1969:TPM,
author = "Richard Barakat and Elizabeth Baumann",
title = "{$M$ th} Power of an {$ N \times N $} Matrix and Its
Connection with the Generalized {Lucas} Polynomials",
journal = j-J-MATH-PHYS,
volume = "10",
number = "8",
pages = "1474--1476",
month = aug,
year = "1969",
CODEN = "JMAPAQ",
DOI = "https://doi.org/10.1063/1.1664992",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
bibdate = "Fri Oct 28 11:55:26 MDT 2011",
bibsource = "http://www.aip.org/ojs/jmp.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphys1965.bib",
URL = "http://jmp.aip.org/resource/1/jmapaq/v10/i8/p1474_s1",
acknowledgement = ack-nhfb,
classification = "A0210 (Algebra, set theory, and graph theory)",
corpsource = "Harvard Univ., Cambridge, MA, USA",
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
keywords = "functions; matrix algebra",
onlinedate = "4 November 2003",
pagecount = "3",
}
@Article{Riesel:1969:LCP,
author = "Hans Riesel",
title = "{Lucasian} Criteria for the Primality of {$ \mathcal
{N} = h \cdot 2^n - 1 $}",
journal = j-MATH-COMPUT,
volume = "23",
number = "108",
pages = "869--875",
month = oct,
year = "1969",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Ilamed:1971:PMG,
author = "Yehiel Ilamed",
title = "Powers of a matrix and the generalized {Lucas}
polynomials",
journal = j-J-MATH-PHYS,
volume = "12",
number = "1",
pages = "113--113",
month = jan,
year = "1971",
CODEN = "JMAPAQ",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
bibdate = "Mon Jan 05 10:44:23 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
classification = "A0210 (Algebra, set theory, and graph theory)",
corpsource = "Soreq Nuclear Res. Centre, Yavne, Israel",
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
keywords = "algebra; basic symmetric functions; determinants;
generalized Lucas polynomials; invariants",
treatment = "T Theoretical or Mathematical",
}
@Article{Miller:1971:MNG,
author = "M. D. Miller",
title = "Mathematical Notes: On Generalized {Fibonacci}
Numbers",
journal = j-AMER-MATH-MONTHLY,
volume = "78",
number = "10",
pages = "1108--1109",
month = dec,
year = "1971",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:34 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Carlitz:1972:SFR,
author = "L. Carlitz and V. E. Hoggatt and Richard Scoville",
title = "Some functions related to {Fibonacci} and {Lucas}
representations",
journal = j-LECT-NOTES-MATH,
volume = "251",
pages = "71--102",
year = "1972",
CODEN = "LNMAA2",
DOI = "https://doi.org/10.1007/BFb0058786",
ISBN = "3-540-05723-4 (print), 3-540-37098-6 (e-book)",
ISBN-13 = "978-3-540-05723-9 (print), 978-3-540-37098-7
(e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
MRclass = "10A35",
MRnumber = "0340167 (49 \#4923)",
MRreviewer = "J. M. Gandhi",
bibdate = "Fri May 9 19:07:45 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/lnm1970.bib",
URL = "http://link.springer.com/chapter/10.1007/BFb0058786/",
acknowledgement = ack-nhfb,
book-DOI = "https://doi.org/10.1007/BFb0058781",
book-URL = "http://www.springerlink.com/content/978-3-540-37098-7",
fjournal = "Lecture Notes in Mathematics",
journal-URL = "http://link.springer.com/bookseries/304",
}
@Article{Kral:1972:ENA,
author = "J. Kr{\'a}l",
title = "Erratum: {``A new additive pseudorandom number
generator for extremely short word-length''}",
journal = j-INFO-PROC-LETT,
volume = "1",
number = "5",
pages = "216--216",
day = "??",
month = oct,
year = "1972",
CODEN = "IFPLAT",
ISSN = "0020-0190 (print), 1872-6119 (electronic)",
ISSN-L = "0020-0190",
bibdate = "Tue Nov 17 10:49:43 MST 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/infoproc1970.bib",
note = "See \cite{Kral:1972:NAP}.",
acknowledgement = ack-nhfb,
fjournal = "Information Processing Letters",
journal-URL = "http://www.sciencedirect.com/science/journal/00200190",
}
@Article{Kral:1972:NAP,
author = "J. Kr{\'a}l",
title = "A new additive pseudorandom number generator for
extremely short word-length",
journal = j-INFO-PROC-LETT,
volume = "1",
number = "4",
pages = "164--167",
day = "??",
month = jun,
year = "1972",
CODEN = "IFPLAT",
DOI = "https://doi.org/10.1016/0020-0190(72)90051-8",
ISSN = "0020-0190 (print), 1872-6119 (electronic)",
ISSN-L = "0020-0190",
bibdate = "Tue Nov 17 10:49:43 MST 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/fortran1.bib;
https://www.math.utah.edu/pub/tex/bib/infoproc1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "See erratum \cite{Kral:1972:ENA}.",
abstract = "We study the suitability of the additive
lagged-Fibonacci pseudo-random number generator for
parallel computation. This generator has relatively
short period with respect to the size of its seed.
However, the short period is more than made up for with
the huge number of full-period cycles it contains.
These different full period cycles are called
equivalence classes. We show how to enumerate the
equivalence classes and how to compute seeds to select
a given equivalence class, In addition, we present some
theoretical measures of quality for this generator when
used in parallel. Next, we conjecture on the size of
these measures of quality for this generator. Extensive
empirical evidence supports this conjecture. In
addition, a probabilistic interpretation of these
measures leads to another conjecture similarly
supported by empirical evidence. Finally we give an
explicit parallelization suitable for a fully
reproducible asynchronous MIMD implementation.",
acknowledgement = ack-nhfb,
classification = "C7890 (Other special applications of computing)",
corpsource = "RWTH, Aachen, West Germany",
fjournal = "Information Processing Letters",
journal-URL = "http://www.sciencedirect.com/science/journal/00200190",
keywords = "additive pseudorandom number generator; CDC FORTRAN
subroutine; extremely short word lengths; mod 2/sup j/
arithmetics; random number generation; shuffling;
subroutines",
treatment = "T Theoretical or Mathematical",
}
@Article{Raghavacharyulu:1972:SDE,
author = "I. V. V. Raghavacharyulu and A. R. Tekumalla",
title = "Solution of the difference equations of generalized
{Lucas} polynomials",
journal = j-J-MATH-PHYS,
volume = "13",
number = "3",
pages = "321--324",
month = mar,
year = "1972",
CODEN = "JMAPAQ",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
bibdate = "Fri Jan 2 14:59:17 MST 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
classification = "A0210 (Algebra, set theory, and graph theory)",
corpsource = "Inst. Math. Scis., Madras, India",
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
keywords = "algebra; combinatorial analysis; difference equations;
equations; generalized Lucas polynomials; symmetric
functions",
treatment = "T Theoretical or Mathematical",
}
@Article{Zeckendorf:1972:RNN,
author = "E. Zeckendorf",
title = "Repr{\'e}sentation des Nombres naturels par une Somme
de Nombres de {Fibonacci} ou de Nombres de {Lucas}.
({French}) [{Representation} of the natural numbers by
a sum of {Fibonacci} or {Lucas} numbers]",
journal = j-BULL-SOC-R-SCI-LIEGE,
volume = "41",
pages = "179--182",
year = "1972",
CODEN = "BSRSA6",
ISSN = "0037-9565",
ISSN-L = "0037-9565",
bibdate = "Sat Jan 26 12:46:16 MST 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/datacompression.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-ds,
fjournal = "Bulletin de la Soci{\'e}t{\'e} royale des sciences de
Li{\`e}ge",
language = "French",
rawdata = "Zeckendorf, E. (1972) ``Repr\'esentation des Nombres
Naturels par Une Somme de Nombres de Fibonacci ou de
Nombres de Lucas,'' {\it Bull. Soc. Roy. Sci. Li\`ege},
{\bf41}:179--182.",
}
@Article{Hirschberg:1973:CDM,
author = "Daniel S. Hirschberg",
title = "A Class of Dynamic Memory Allocation Algorithms",
journal = j-CACM,
volume = "16",
number = "10",
pages = "615--618",
month = oct,
year = "1973",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Mon Jan 22 06:50:09 MST 2001",
bibsource = "Compendex database;
http://dblp.uni-trier.de/db/journals/cacm/cacm16.html#Hirschberg73;
https://www.math.utah.edu/pub/tex/bib/cacm1970.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
abstract = "A new dynamic memory allocation algorithm, the
Fibonacci system, is introduced. This algorithm is
similar to, but seems to have certain advantages over,
the ``buddy'' system. A generalization is mentioned
which includes both of these systems as special
cases.",
acknowledgement = ack-nhfb,
classcodes = "C6120 (File organisation)",
classification = "723",
corpsource = "Princeton Univ., NJ, USA",
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
journalabr = "Commun ACM",
keywords = "buddy system; computer operating systems; dynamic
memory allocation algorithms; dynamic storage
allocation; Fibonacci; Fibonacci system; fragmentation;
simulation; storage allocation",
oldlabel = "Hirschberg73",
treatment = "P Practical",
XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Hirschberg73",
}
@Article{Overholt:1973:EFS,
author = "K. J. Overholt",
title = "Efficiency of the {Fibonacci} Search Method",
journal = j-BIT,
volume = "13",
number = "1",
pages = "92--96",
month = mar,
year = "1973",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/BF01933527",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
bibdate = "Wed Jan 4 18:52:13 MST 2006",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=13&issue=1;
https://www.math.utah.edu/pub/tex/bib/bit.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=13&issue=1&spage=92",
acknowledgement = ack-nhfb,
fjournal = "BIT (Nordisk tidskrift for informationsbehandling)",
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Shannon:1973:MNG,
author = "A. G. Shannon and A. F. Horadam",
title = "Mathematical Notes: Generalized {Fibonacci} Number
Triples",
journal = j-AMER-MATH-MONTHLY,
volume = "80",
number = "2",
pages = "187--190",
month = feb,
year = "1973",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:02 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Tootill:1973:ART,
author = "J. P. R. Tootill and W. D. Robinson and D. J. Eagle",
title = "An Asymptotically Random {Tausworthe} Sequence",
journal = j-J-ACM,
volume = "20",
number = "3",
pages = "469--481",
month = jul,
year = "1973",
CODEN = "JACOAH",
DOI = "https://doi.org/10.1145/321765.321778",
ISSN = "0004-5411 (print), 1557-735X (electronic)",
ISSN-L = "0004-5411",
bibdate = "Thu Dec 22 07:42:23 2011",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Distributed/QLD/1973.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
abstract = "The theoretical limitations on the orders of
equidistribution attainable by Tausworthe sequences are
derived from first principles and are stated in the
form of a criterion to be achieved. A second criterion,
extending these limitations to multidimensional
uniformity, is also defined. A sequence possessing both
properties is said to be asymptotically random as no
other sequence of the same period could be more random
in these respects. An algorithm is presented which, for
any Tausworthe sequence based on a primitive trinomial
over GF(2), establishes how closely or otherwise the
conditions necessary for the criteria are achieved.
Given that the necessary conditions are achieved, the
conditions sufficient for the first criterion are
derived from Galois theory and always apply. For the
second criterion, however, the period must be prime. An
asymptotically random 23-bit number sequence of
astronomic period, $ 2^{607} - 1 $, is presented. An
initialization program is required to provide 607
starting values, after which the sequence can be
generated with a three-term recurrence of the Fibonacci
type. In addition to possessing the theoretically
demonstrable randomness properties associated with
Tausworthe sequences, the sequence possesses
equidistribution and multidimensional uniformity
properties vastly in excess of anything that has yet
been shown for conventional congruentially generated
sequences. It is shown that, for samples of a size it
is practicable to generate, there can exist no purely
empirical test of the sequence as it stands capable of
distinguishing between it and an $ \infty $-distributed
sequence. Bounds for local nonrandomness in respect of
runs above (below) the mean and runs of equal numbers
are established theoretically. The claimed randomness
properties do not necessarily extend to subsequences,
though it is not yet known which particular
subsequences are at fault. Accordingly, the sequence is
at present suggested only for simulations with no fixed
dimensionality requirements.",
acknowledgement = ack-nhfb,
annote = "The theoretical limitations on the orders of
equidistribution attainable by Tausworthe sequences are
derived from first principles and are stated in the
form of a criterion to be achieved. A second criterion,
extending these limitations to multidimensional
uniformity, is also defined. A sequence possessing both
properties is said to be asymptotically random as no
other sequence of the same period could be more random
in these respects. \ldots{}",
descriptors = "Tausworthe generator; shift register sequences; rng;
test; runtime/storage efficiency; multidimensional
uniformity",
fjournal = "Journal of the Association for Computing Machinery",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401",
}
@Article{Maracchia:1974:REL,
author = "Silvio Maracchia",
title = "La regola ``{Elchatayn}'' in {Leonardo Pisano}.
({Italian}) [{The} {Elchatayn} rule in {Leonardo
Pisano}]",
journal = j-ARCHIMEDE,
volume = "26",
number = "5--6",
pages = "321--329",
year = "1974",
ISSN = "0390-5543",
ISSN-L = "0390-5543",
MRclass = "01A35",
MRnumber = "0497536 (58 \#15857)",
bibdate = "Thu Jan 31 07:24:51 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Archimede. Rivista per gli Insegnanti e i Cultori di
Matematiche Pure e Applicate",
language = "Italian",
}
@Article{Brillhart:1975:NPC,
author = "John Brillhart and D. H. Lehmer and J. L. Selfridge",
title = "New primality criteria and factorizations of $ 2^m \pm
1 $",
journal = j-MATH-COMPUT,
volume = "29",
number = "130",
pages = "620--647",
month = apr,
year = "1975",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/cryptography.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0210 (Algebra); C1110 (Algebra)",
corpsource = "Dept. Math., Univ. Arizona, Tucson, AZ, USA",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "divisibility properties; factorizations; Fermat's
theorem; hyperbola; Lucas sequences; Mersenne numbers;
number theory; primality criteria; search bound",
referencedin = "Referenced in \cite[Ref. 2]{Silverman:1997:FGR}.",
treatment = "T Theoretical or Mathematical",
}
@Article{Campbell:1975:NFT,
author = "C. M. Campbell and E. F. Robertson",
title = "A note on {Fibonacci} type groups",
journal = j-CAN-MATH-BULL,
volume = "18",
number = "??",
pages = "173--176",
month = "????",
year = "1975",
CODEN = "CMBUA3",
DOI = "https://doi.org/10.4153/CMB-1975-034-7",
ISSN = "0008-4395 (print), 1496-4287 (electronic)",
ISSN-L = "0008-4395",
bibdate = "Thu Sep 8 10:04:25 MDT 2011",
bibsource = "http://cms.math.ca/cmb/v18/;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Canadian mathematical bulletin = Bulletin canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cmb/",
}
@Article{Cranston:1975:SRS,
author = "Ben Cranston and Rick Thomas",
title = "Simplified Recombination Scheme for the {Fibonacci}
Buddy System",
journal = j-CACM,
volume = "18",
number = "6",
pages = "331--332",
month = jun,
year = "1975",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Mon Jan 22 06:33:03 MST 2001",
bibsource = "Compendex database;
http://dblp.uni-trier.de/db/journals/cacm/cacm18.html#CranstonT75;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
abstract = "A simplified recombination scheme for the Fibonacci
buddy system which requires neither tables nor
repetitive calculations and uses only two additional
bits per buffer is presented.",
acknowledgement = ack-nhfb,
classcodes = "C6120 (File organisation)",
classification = "723",
corpsource = "Univ. of Maryland, College Park, MD, USA",
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
journalabr = "Commun ACM",
keywords = "computer operating systems; dynamic storage
allocation; Fibonacci buddy system; simplified
recombination scheme; storage allocation",
oldlabel = "CranstonT75",
treatment = "P Practical",
XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/CranstonT75",
}
@Article{Horadam:1975:EHY,
author = "A. F. Horadam",
title = "Eight hundred years young",
journal = j-AUSTRALIAN-MATH-TEACHER,
volume = "31",
number = "??",
pages = "123--134",
month = "????",
year = "1975",
ISSN = "0045-0685",
bibdate = "Thu Jan 31 06:06:54 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "The {Australian} Mathematics Teacher",
keywords = "Fibonacci; Leonardo of Pisa",
}
@Article{Miller:1975:FSN,
author = "J. C. P. Miller",
title = "On Factorisation, with a Suggested New Approach",
journal = j-MATH-COMPUT,
volume = "29",
number = "129",
pages = "155--172",
month = jan,
year = "1975",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0210 (Algebra); C1110 (Algebra)",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "factorisation; Fermat's theorem; Fermat/Lucas/Lehmer;
lambda exponent determination; number theory;
primality; survey; theorems",
treatment = "T Theoretical or Mathematical",
}
@Article{Morrison:1975:NPT,
author = "Michael A. Morrison",
title = "A Note on Primality Testing Using {Lucas} Sequences",
journal = j-MATH-COMPUT,
volume = "29",
number = "129",
pages = "181--182",
month = jan,
year = "1975",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0210 (Algebra); C1110 (Algebra)",
corpsource = "Univ. California, Los Angeles, CA, USA",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "integer; Lucas sequences; number theory; odd;
primality testing; prime divisors",
treatment = "T Theoretical or Mathematical",
}
@Article{Myers:1975:STW,
author = "B. R. Myers",
title = "Spanning Trees, Weighted Compositions, {Fibonacci}
Numbers, and Resistor Networks",
journal = j-SIAM-REVIEW,
volume = "17",
number = "3",
pages = "465--474",
month = "????",
year = "1975",
CODEN = "SIREAD",
DOI = "https://doi.org/10.1137/1017045",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
bibdate = "Fri Jun 21 11:25:02 MDT 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Review",
journal-URL = "http://epubs.siam.org/sirev",
}
@Article{Glushkov:1976:AML,
author = "Stanislaw Glushkov",
title = "On approximation methods of {Leonardo Fibonacci}",
journal = j-HIST-MATH,
volume = "3",
number = "3",
pages = "291--296",
month = aug,
year = "1976",
CODEN = "HIMADS",
ISSN = "0315-0860 (print), 1090-249X (electronic)",
ISSN-L = "0315-0860",
MRclass = "01A35",
MRnumber = "0484963 (58 \#4825)",
MRreviewer = "R. Steiner",
bibdate = "Wed Jun 26 06:16:39 MDT 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/histmath.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0315086076900987",
acknowledgement = ack-nhfb,
fjournal = "Historia Mathematica",
journal-URL = "http://www.sciencedirect.com/science/journal/03150860",
}
@Article{Williams:1976:DPU,
author = "H. C. Williams and J. S. Judd",
title = "Determination of the primality of {$N$} by using
factors of {$ N^2 \pm 1 $}",
journal = j-MATH-COMPUT,
volume = "30",
number = "133",
pages = "157--172",
month = jan,
year = "1976",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0210 (Algebra); C1110 (Algebra); C5230 (Digital
arithmetic methods)",
corpsource = "Dept. of Computer Sci., Univ. of Manitoba, Winnipeg,
Man., Canada",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "Lehmer functions; Lucas functions; number theory;
primality testing",
treatment = "T Theoretical or Mathematical",
}
@Article{Peterson:1977:BS,
author = "James L. Peterson and Theodore A. Norman",
title = "Buddy Systems",
journal = j-CACM,
volume = "20",
number = "6",
pages = "421--431",
month = jun,
year = "1977",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Mon Jan 22 07:12:25 MST 2001",
bibsource = "Compendex database;
http://dblp.uni-trier.de/db/journals/cacm/cacm20.html#PetersonN77;
https://www.math.utah.edu/pub/tex/bib/cacm1970.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
abstract = "Two algorithms are presented for implementing any of a
class of buddy systems for dynamic storage allocation.
Each buddy system corresponds to a set of recurrence
relations which relate the block sizes provided to each
other. Analyses of the internal fragmentation of the
binary buddy system, the Fibonacci buddy system, and
the weighted buddy system are given. Comparative
simulation results are also presented for internal,
external, and total fragmentation.",
acknowledgement = ack-nhfb,
classcodes = "C6120 (File organisation)",
classification = "723",
corpsource = "Univ. of Texas, Austin, TX, USA",
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
journalabr = "Commun ACM",
keywords = "algorithms; buddy systems; computer operating systems;
computer programming --- Subroutines; computer
programs; data storage, digital; dynamic storage
allocation; recurrence relations; storage allocation",
oldlabel = "PetersonN77",
treatment = "T Theoretical or Mathematical",
XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/PetersonN77",
}
@Article{Basmakova:1978:BQL,
author = "I. G. Ba{\v{s}}makova",
title = "The {{\booktitle{Liber quadratorum}}} of {Leonardo of
Pisa}. ({Russian})",
journal = "History and methodology of the natural sciences",
volume = "XX",
number = "??",
pages = "27--37",
month = "????",
year = "1978",
bibdate = "Thu Jan 31 06:00:22 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
language = "Russian",
}
@InCollection{Basmakova:1978:LQL,
author = "I. G. Ba{\v{s}}makova",
booktitle = "History and methodology of the natural sciences, {No}.
{XX} ({Russian})",
title = "The {{\booktitle{Liber quadratorum}}} of {Leonardo of
a Pisa}",
publisher = "Moskov. Gos. Univ.",
address = "Moscow, USSR",
pages = "27--37",
year = "1978",
MRclass = "01A35 (01A20 10-03)",
MRnumber = "537130 (82g:01017)",
MRreviewer = "E. M. Bruins",
bibdate = "Thu Jan 31 06:27:48 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
}
@Article{Carson:1978:FNP,
author = "Judithlynne Carson",
title = "{Fibonacci} Numbers and Pineapple Phyllotaxy",
journal = j-TWO-YEAR-COLL-MATH-J,
volume = "9",
number = "3",
pages = "132--136",
month = jun,
year = "1978",
CODEN = "????",
DOI = "https://doi.org/10.1080/00494925.1978.11974562",
ISSN = "0049-4925 (print), 2325-9116 (electronic)",
ISSN-L = "0049-4925",
bibdate = "Thu Feb 14 09:48:49 MST 2019",
bibsource = "https://www.math.utah.edu/pub/tex/bib/collegemathj.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.tandfonline.com/doi/abs/10.1080/00494925.1978.11974562",
acknowledgement = ack-nhfb,
fjournal = "Two-Year College Mathematics Journal",
journal-URL = "https://maa.tandfonline.com/loi/ucmj20;
http://www.jstor.org/journals/00494925.html",
onlinedate = "30 Jan 2018",
}
@Unpublished{Dijkstra:1978:HFa,
author = "Edsger W. Dijkstra",
title = "In honour of {Fibonacci}",
pages = "2",
year = "1978",
bibdate = "Mon Mar 16 08:14:00 2015",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/dijkstra-edsger-w.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "Circulated privately.",
URL = "http://www.cs.utexas.edu/users/EWD/ewd06xx/EWD654.PDF",
acknowledgement = ack-nhfb,
filesize = "38 KB",
oldlabel = "EWD:EWD654",
remark = "This short typewritten note describes how the $ O(N^2)
$ algorithm for generating the first $N$ Fibonacci
numbers can be converted to an $ O(N \log N)$
algorithm.",
}
@Article{Eswarathasan:1978:SPL,
author = "A. Eswarathasan",
title = "On square pseudo-{Lucas} numbers",
journal = j-CAN-MATH-BULL,
volume = "21",
number = "??",
pages = "297--304",
month = "????",
year = "1978",
CODEN = "CMBUA3",
DOI = "https://doi.org/10.4153/CMB-1978-052-1",
ISSN = "0008-4395 (print), 1496-4287 (electronic)",
ISSN-L = "0008-4395",
bibdate = "Thu Sep 8 10:04:47 MDT 2011",
bibsource = "http://cms.math.ca/cmb/v21/;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Canadian mathematical bulletin = Bulletin canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cmb/",
}
@Article{Roberts:1978:OFP,
author = "David W. Roberts",
title = "The origin of {Fibonacci} phyllotaxis --- an analysis
of {Adler}'s contact pressure model and {Mitchison}'s
expanding apex model",
journal = j-J-THEOR-BIOL,
volume = "74",
number = "2",
pages = "217--233",
day = "21",
month = sep,
year = "1978",
CODEN = "JTBIAP",
ISSN = "0022-5193 (print), 1095-8541 (electronic)",
ISSN-L = "0022-5193",
bibdate = "Sat Jun 1 15:20:12 MDT 2019",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jtheorbiol1970.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0022519378900735",
acknowledgement = ack-nhfb,
fjournal = "Journal of Theoretical Biology",
journal-URL = "http://www.sciencedirect.com/science/journal/00225193",
}
@Article{Shortt:1978:IPC,
author = "Joseph Shortt",
title = "An iterative program to calculate {Fibonacci} numbers
in {$ O(\log n) $} arithmetic operations",
journal = j-INFO-PROC-LETT,
volume = "7",
number = "6",
pages = "299--303",
day = "??",
month = oct,
year = "1978",
CODEN = "IFPLAT",
ISSN = "0020-0190 (print), 1872-6119 (electronic)",
ISSN-L = "0020-0190",
MRclass = "10-04 (68C05)",
MRnumber = "80b:10003",
bibdate = "Tue Nov 17 10:49:43 MST 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
classification = "C5230 (Digital arithmetic methods)",
corpsource = "Dept. of Computing and Information Sci., Univ. of
Guelph, Guelph, Ont., Canada",
fjournal = "Information Processing Letters",
journal-URL = "http://www.sciencedirect.com/science/journal/00200190",
keywords = "calculate Fibonacci numbers; interactive program;
iterative; number theory; O(log n) arithmetic
operations; storage",
treatment = "T Theoretical or Mathematical",
xxtitle = "An interactive program to calculate {Fibonacci}
numbers in {$O(\log n)$} arithmetic operations",
}
@Article{Boothroyd:1979:CAF,
author = "J. Boothroyd",
title = "Certification of {Algorithm 2}: {Fibonacci} search",
journal = j-COMP-J,
volume = "22",
number = "1",
pages = "86--86",
month = feb,
year = "1979",
CODEN = "CMPJA6",
ISSN = "0010-4620 (print), 1460-2067 (electronic)",
ISSN-L = "0010-4620",
bibdate = "Thu Oct 05 15:40:50 2000",
bibsource = "http://www3.oup.co.uk/computer_journal/hdb/Volume_22/Issue_01/;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "Reprinted from {\em The Computer Bulletin}. See
\cite{Pike:1979:AFS}.",
URL = "http://www3.oup.co.uk/computer_journal/hdb/Volume_22/Issue_01/tiff/86.tif",
acknowledgement = ack-nhfb,
fjournal = "The Computer Journal",
journal-URL = "http://comjnl.oxfordjournals.org/",
}
@Article{Crandall:1979:SLT,
author = "R. E. Crandall and M. A. Penk",
title = "A Search for Large Twin Prime Pairs",
journal = j-MATH-COMPUT,
volume = "33",
number = "145",
pages = "383--388",
month = jan,
year = "1979",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2006051",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "10A25 (10J10)",
MRnumber = "514834 (81a:10010)",
MRreviewer = "H. J. Godwin",
bibdate = "Mon Mar 18 11:54:09 2013",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4190 (Other numerical methods)",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "Hardy Littlewood twin prime conjecture; large twin
prime pairs; Lucas Lehmer; number; number theory;
parameters; primes; search; theory",
treatment = "T Theoretical or Mathematical",
}
@InProceedings{Dijkstra:1979:HF,
author = "Edsger W. Dijkstra",
title = "In Honour of {Fibonacci}",
crossref = "Bauer:1979:PCI",
pages = "49--50",
year = "1979",
DOI = "https://doi.org/10.1007/BFb0014655",
bibdate = "Mon Mar 16 12:22:48 2015",
bibsource = "DBLP;
http://dblp.uni-trier.de/db/conf/pc/pc1978.html#Dijkstra78e;
https://www.math.utah.edu/pub/bibnet/authors/d/dijkstra-edsger-w.bib;
https://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Compiler/bevan.bib;
https://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Misc/DBLP/1978.bib;
https://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Misc/MPG/lncs69.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
series = ser-LNCS,
URL = "http://link.springer.com/chapter/10.1007/BFb0014655",
acknowledgement = ack-nhfb,
checked = "19940506",
keywords = "Fibonacci, program transformation",
reffrom = Bauer:pc:1978a,
sjb = "Notes that the Fibonacci sequence can be generated in
$O(n)$ and gives the code for doing so. Then notes that
a $O(\log n)$ version is possible and goes on to
describe it for the Fibonacci sequence and derives it
for a higher order recurrence relation. Asks how
proponents of ``program transformations'' propose to
transform the linear into the logarithmic version.",
source = "main library",
}
@Article{Eswarathasan:1979:PLN,
author = "A. Eswarathasan",
title = "On pseudo-{Lucas} numbers of the form {$ 2 S^2 $}",
journal = j-CAN-MATH-BULL,
volume = "22",
number = "??",
pages = "29--34",
month = "????",
year = "1979",
CODEN = "CMBUA3",
DOI = "https://doi.org/10.4153/CMB-1979-005-2",
ISSN = "0008-4395 (print), 1496-4287 (electronic)",
ISSN-L = "0008-4395",
bibdate = "Thu Sep 8 10:04:53 MDT 2011",
bibsource = "http://cms.math.ca/cmb/v22/;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Canadian mathematical bulletin = Bulletin canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cmb/",
}
@Article{Horadam:1979:DPS,
author = "A. F. Horadam and R. P. Loh and A. G. Shannon",
title = "Divisibility properties of some {Fibonacci}-type
sequences",
journal = j-LECT-NOTES-MATH,
volume = "748",
pages = "55--64",
year = "1979",
CODEN = "LNMAA2",
DOI = "https://doi.org/10.1007/BFb0102684",
ISBN = "3-540-09555-1 (print), 3-540-34857-3 (e-book)",
ISBN-13 = "978-3-540-09555-2 (print), 978-3-540-34857-3
(e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
MRclass = "10A35",
MRnumber = "558033 (81f:10016)",
MRreviewer = "Stanley J. Benkoski",
bibdate = "Fri May 9 19:08:04 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/lnm1975.bib",
URL = "http://link.springer.com/chapter/10.1007/BFb0102684/",
acknowledgement = ack-nhfb,
book-DOI = "https://doi.org/10.1007/BFb0102678",
book-URL = "http://www.springerlink.com/content/978-3-540-34857-3",
fjournal = "Lecture Notes in Mathematics",
journal-URL = "http://link.springer.com/bookseries/304",
}
@Article{Picutti:1979:BSL,
author = "Ettore Picutti",
title = "The {{\booktitle{Book of squares}}} of {Leonardo of
Pisa} and the problems of indeterminate analysis in the
{Palatine Codex 557} of the {National Library in
Florence}. {Introduction} and comments",
journal = j-PHYSIS,
volume = "21",
number = "1--4",
pages = "195--339 (1980)",
year = "1979",
CODEN = "PYSSA3",
ISSN = "0031-9414 (print), 2038-6265 (electronic)",
ISSN-L = "0031-9414",
MRclass = "01A35 (01A75)",
MRnumber = "632809 (83e:01010)",
MRreviewer = "Livia Giacardi",
bibdate = "Thu Jun 11 14:57:38 2015",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/physis.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Physis: Rivista Internazionale di Storia della
Scienza",
journal-URL = "http://www.olschki.it/riviste/17",
}
@Article{Pike:1979:AFS,
author = "M. C. Pike and J. Pixner",
title = "Algorithm 2: {Fibonacci} search",
journal = j-COMP-J,
volume = "22",
number = "1",
pages = "86--86",
month = feb,
year = "1979",
CODEN = "CMPJA6",
ISSN = "0010-4620 (print), 1460-2067 (electronic)",
ISSN-L = "0010-4620",
bibdate = "Thu Oct 05 15:40:50 2000",
bibsource = "http://www3.oup.co.uk/computer_journal/hdb/Volume_22/Issue_01/;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "Reprinted from {\em The Computer Bulletin}, vol. 8, p.
147, 1965. See
\cite{Boothroyd:1979:CAF,Overholt:1967:NAF,Pike:1967:NAF}.",
URL = "http://www3.oup.co.uk/computer_journal/hdb/Volume_22/Issue_01/tiff/86.tif",
acknowledgement = ack-nhfb,
fjournal = "The Computer Journal",
journal-URL = "http://comjnl.oxfordjournals.org/",
}
@Article{Baillie:1980:LP,
author = "Robert Baillie and Samuel S. {Wagstaff, Jr.}",
title = "{Lucas} Pseudoprimes",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1391--1417",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "10A25",
MRnumber = "81j:10005",
MRreviewer = "V. C. Harris",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0210 (Algebra); C5230 (Digital arithmetic methods)",
corpsource = "Univ. of Illinois, Urbana, IL, USA",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "Little theorem; Lucas sequence; number theory;
pseudoprime",
treatment = "T Theoretical or Mathematical",
}
@Article{Gries:1980:CFN,
author = "David Gries and Gary Levin",
title = "Computing {Fibonacci} numbers (and similarly defined
functions) in log time",
journal = j-INFO-PROC-LETT,
volume = "11",
number = "2",
pages = "68--69",
day = "??",
month = oct,
year = "1980",
CODEN = "IFPLAT",
ISSN = "0020-0190 (print), 1872-6119 (electronic)",
ISSN-L = "0020-0190",
MRclass = "68C05 (10-04 10A35 10A40)",
MRnumber = "82g:68034b",
MRreviewer = "Yuri Breitbart",
bibdate = "Wed Nov 11 12:16:26 MST 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
classification = "B0290M (Numerical integration and differentiation);
C4160 (Numerical integration and differentiation)",
corpsource = "Computer Sci. Dept., Cornell Univ., Ithaca, NY, USA",
fjournal = "Information Processing Letters",
journal-URL = "http://www.sciencedirect.com/science/journal/00200190",
keywords = "computational complexity; difference equations;
Fibonacci numbers; linear homogeneous difference
equation; series (mathematics); time bound",
treatment = "T Theoretical or Mathematical",
}
@Article{Heyde:1980:PAF,
author = "C. C. Heyde",
title = "On a Probabilistic Analogue of the {Fibonacci}
Sequence",
journal = j-J-APPL-PROBAB,
volume = "17",
number = "4",
pages = "1079--1082",
month = dec,
year = "1980",
CODEN = "JPRBAM",
DOI = "https://doi.org/10.2307/3213217",
ISSN = "0021-9002 (print), 1475-6072 (electronic)",
ISSN-L = "0021-9002",
bibdate = "Sat May 3 07:42:18 MDT 2014",
bibsource = "http://www.jstor.org/stable/i361297;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/japplprobab.bib",
URL = "http://www.jstor.org/stable/3213217",
acknowledgement = ack-nhfb,
fjournal = "Journal of Applied Probability",
journal-URL = "http://www.jstor.org/journals/00219002.html",
}
@Article{Pettorossi:1980:DAC,
author = "Alberto Pettorossi",
title = "Derivation of an {$ O(k^2 \, \log n) $} algorithm for
computing order-$k$ {Fibonacci} numbers from the {$
O(k^3 \, \log n) $} matrix multiplication method",
journal = j-INFO-PROC-LETT,
volume = "11",
number = "4--5",
pages = "172--179",
day = "12",
month = dec,
year = "1980",
CODEN = "IFPLAT",
ISSN = "0020-0190 (print), 1872-6119 (electronic)",
ISSN-L = "0020-0190",
MRclass = "68C25",
MRnumber = "82a:68084",
MRreviewer = "Henry S. Warren, Jr.",
bibdate = "Wed Nov 11 12:16:26 MST 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
classification = "C7310 (Mathematics computing)",
corpsource = "Dept. of Computer Sci., Univ. of Edinburgh, Edinburgh,
UK",
fjournal = "Information Processing Letters",
journal-URL = "http://www.sciencedirect.com/science/journal/00200190",
keywords = "iterative methods; matrix algebra; O(k/sup 2/log n)
algorithm; O(k/sup 3/log n) matrix multiplication
method; order-k Fibonacci numbers; order-k homogeneous
linear recurrence relation",
treatment = "T Theoretical or Mathematical",
}
@Article{Pomerance:1980:P,
author = "Carl Pomerance and J. L. Selfridge and Samuel S.
{Wagstaff, Jr.}",
title = "The Pseudoprimes to $ 25 \cdot 10^9 $",
journal = j-MATH-COMPUT,
volume = "35",
number = "151",
pages = "1003--1026",
month = jul,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "10A40 (10-04 10A25)",
MRnumber = "82g:10030",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/cryptography.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0210 (Algebra); C1110 (Algebra)",
corpsource = "Dept. of Math., Univ. of Illinois, Urbana, IL, USA",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "Carmichael numbers; counting function; Lucas
sequences; mathematical analysis; primality;
pseudoprimes",
referencedin = "Referenced in \cite[Ref. 9]{Silverman:1997:FGR}.",
treatment = "T Theoretical or Mathematical",
}
@Article{Weszely:1980:FLP,
author = "Julia Weszely",
title = "{Fibonacci, Leonardo Pisano} (c. 1170--c. 1240).
({Romanian})",
journal = "Gaz. Mat. Mat. Inform.",
volume = "1",
number = "3",
pages = "124--126",
month = "????",
year = "1980",
ISSN = "0016-5433",
MRclass = "01A70",
MRnumber = "661529 (84c:01067)",
bibdate = "Thu Jan 31 06:18:49 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Gazeta Matematic{\u{a}}. Perfec{\c{t}}ionare
Metodic{\u{a}}{\c{s}}i Metodologic{\u{a}} in
Matematic{\u{a}}{\c{s}}i Informatic{\u{a}}",
language = "Romanian",
}
@Article{Wilson:1980:ACG,
author = "Thomas C. Wilson and Joseph Shortt",
title = "An {$ O(\log n) $} algorithm for computing general
order-$k$ {Fibonacci} numbers",
journal = j-INFO-PROC-LETT,
volume = "10",
number = "2",
pages = "68--75",
day = "18",
month = mar,
year = "1980",
CODEN = "IFPLAT",
ISSN = "0020-0190 (print), 1872-6119 (electronic)",
ISSN-L = "0020-0190",
MRclass = "68C25 (10A35)",
MRnumber = "81a:68053",
bibdate = "Tue Nov 17 10:49:43 MST 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
classification = "C7310 (Mathematics computing)",
corpsource = "Univ. of Guelph, Guelph, Ont., Canada",
fjournal = "Information Processing Letters",
journal-URL = "http://www.sciencedirect.com/science/journal/00200190",
keywords = "complete algorithm; Fibonacci numbers; intermediate
storage locations; iterative algorithm; iterative
methods; mathematics",
treatment = "T Theoretical or Mathematical",
}
@Article{deLuca:1981:CPF,
author = "Aldo {de Luca}",
title = "A combinatorial property of the {Fibonacci} words",
journal = j-INFO-PROC-LETT,
volume = "12",
number = "4",
pages = "193--195",
day = "??",
month = "????",
year = "1981",
CODEN = "IFPLAT",
ISSN = "0020-0190 (print), 1872-6119 (electronic)",
ISSN-L = "0020-0190",
MRclass = "05A99 (20M05)",
MRnumber = "84i:05023",
bibdate = "Sat Apr 11 12:24:20 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Information Processing Letters",
journal-URL = "http://www.sciencedirect.com/science/journal/00200190",
}
@Unpublished{Dijkstra:1981:FNL,
author = "Edsger W. Dijkstra",
title = "{Fibonacci} numbers and {Leonardo} numbers",
pages = "8 (handwritten)",
month = jul,
year = "1981",
bibdate = "Thu Mar 12 17:00:41 2015",
bibsource = "http://www.cs.utexas.edu/users/EWD/indexBibTeX.html;
https://www.math.utah.edu/pub/bibnet/authors/d/dijkstra-edsger-w.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "Circulated privately.",
URL = "http://www.cs.utexas.edu/users/EWD/ewd07xx/EWD797.PDF",
acknowledgement = ack-nhfb,
filesize = "159 KB",
oldlabel = "EWD:EWD797",
}
@Article{Heyde:1981:FLB,
author = "C. C. Heyde",
title = "On {Fibonacci} (Or Lagged
{Bienaym{\'e}--Galton--Watson}) Branching Processes",
journal = j-J-APPL-PROBAB,
volume = "18",
number = "3",
pages = "583--591",
month = sep,
year = "1981",
CODEN = "JPRBAM",
DOI = "https://doi.org/10.2307/3213313",
ISSN = "0021-9002 (print), 1475-6072 (electronic)",
ISSN-L = "0021-9002",
bibdate = "Sat May 3 07:42:22 MDT 2014",
bibsource = "http://www.jstor.org/stable/i361300;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/japplprobab.bib",
URL = "http://www.jstor.org/stable/3213313",
acknowledgement = ack-nhfb,
fjournal = "Journal of Applied Probability",
journal-URL = "http://www.jstor.org/journals/00219002.html",
}
@InProceedings{Ligomenides:1981:CRF,
author = "P. Ligomenides and R. Newcomb",
title = "Complement Representations in the {Fibonacci}
Computer",
crossref = "IEEE:1981:PSC",
pages = "6--9",
year = "1981",
bibdate = "Thu Nov 15 11:37:51 2007",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.acsel-lab.com/arithmetic/arith5/papers/ARITH5_Ligomenides_Newcomb.pdf",
abstract = "Two complement representations and a sign-magnitude
one are introduced which allow for handling negative
numbers using only binary coefficients in Fibonacci
base expansions. These are developed for practical
implementation in Fibonacci computers.",
acknowledgement = ack-nhfb,
keywords = "ARITH-5",
}
@Article{Miura:1981:ALA,
author = "Nobuo Miura",
title = "The Algebra in the {{\booktitle{Liber Abaci}}} of
{Leonardo Pisano}",
journal = j-HIST-SCI,
volume = "21",
number = "??",
pages = "57--65",
year = "1981",
CODEN = "HISCDU",
ISSN = "0285-4821",
ISSN-L = "0285-4821",
MRclass = "01A35 (01A30)",
MRnumber = "652164 (84a:01012)",
MRreviewer = "J. L. Berggren",
bibdate = "Thu Dec 27 07:02:23 MST 2018",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/histscijpn.bib",
URL = "https://ci.nii.ac.jp/naid/110009837266",
acknowledgement = ack-nhfb,
fjournal = "Historia Scientiarum = International journal of the
{History of Science Society of Japan}",
journal-URL = "http://historyofscience.jp/HS/",
remark = "Special Issue: Mathematics: East and West.",
}
@Article{Picutti:1981:SNC,
author = "Ettore Picutti",
title = "Sui numeri congruo-congruenti di {Leonardo Pisano}.
({Italian}) [{Leonardo of Pisa}'s congruous-congruent
numbers]",
journal = j-PHYSIS,
volume = "23",
number = "2",
pages = "141--170",
year = "1981",
CODEN = "PYSSA3",
ISSN = "0031-9414 (print), 2038-6265 (electronic)",
ISSN-L = "0031-9414",
MRclass = "01A35 (10B05)",
MRnumber = "631194 (83h:01020)",
MRreviewer = "L. Beran",
bibdate = "Thu Jun 11 18:07:09 MDT 2015",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/physis.bib;
MathSciNet database; zbMATH database",
ZMnumber = "0468.01003",
acknowledgement = ack-nhfb,
fjournal = "Physis: Rivista Internazionale di Storia della
Scienza",
journal-URL = "http://www.olschki.it/riviste/17",
language = "Italian",
subjects = "congruous-congruent numbers; Leonardo of Pisa",
}
@Article{Bruschi:1982:EFG,
author = "Massimo Bruschi and Paolo Emilio Ricci",
title = "An Explicit Formula for {$ f(\mathcal {A}) $} and the
Generating Functions of the Generalized {Lucas}
Polynomials",
journal = j-SIAM-J-MATH-ANA,
volume = "13",
number = "1",
pages = "162--165",
month = jan,
year = "1982",
CODEN = "SJMAAH",
ISSN = "0036-1410 (print), 1095-7154 (electronic)",
ISSN-L = "0036-1410",
MRclass = "05A15 (33A65)",
MRnumber = "83m:05011",
MRreviewer = "M. S. Cheema",
bibdate = "Sun Nov 28 19:22:51 MST 2010",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/13/1;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/siamjmathana.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Mathematical Analysis",
journal-URL = "http://epubs.siam.org/sima",
}
@Article{Chong:1982:LWL,
author = "Poh Ken Chong",
title = "The life and work of {Leonardo of Pisa}",
journal = "Menemui Mat.",
volume = "4",
number = "2",
pages = "60--66",
month = "????",
year = "1982",
ISSN = "0126-9003",
MRclass = "01A35",
MRnumber = "673718 (84h:01020)",
bibdate = "Thu Jan 31 06:27:48 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Menemui Matematik. (Discovering Mathematics)",
remark = "Indonesian journal.",
}
@Article{McIlroy:1982:NSD,
author = "M. D. McIlroy",
title = "The Number of States of a Dynamic Storage Allocation
System",
journal = j-COMP-J,
volume = "25",
number = "3",
pages = "388--392",
month = aug,
year = "1982",
CODEN = "CMPJA6",
DOI = "https://doi.org/10.1093/comjnl/25.3.388",
ISSN = "0010-4620 (print), 1460-2067 (electronic)",
ISSN-L = "0010-4620",
bibdate = "Tue Dec 4 14:48:13 MST 2012",
bibsource = "Compendex database;
http://comjnl.oxfordjournals.org/content/25/3.toc;
http://www3.oup.co.uk/computer_journal/hdb/Volume_25/Issue_03/;
https://www.math.utah.edu/pub/tex/bib/compj.bib;
https://www.math.utah.edu/pub/tex/bib/compj1980.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
Misc/bin-packing.bib",
URL = "http://comjnl.oxfordjournals.org/content/25/3/388.full.pdf+html;
http://www3.oup.co.uk/computer_journal/hdb/Volume_25/Issue_03/tiff/388.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_25/Issue_03/tiff/389.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_25/Issue_03/tiff/390.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_25/Issue_03/tiff/391.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_25/Issue_03/tiff/392.tif",
acknowledgement = ack-nhfb,
classcodes = "C6150J (Operating systems)",
classification = "723",
corpsource = "Bell Labs, Murray Hill, NJ, USA",
fjournal = "The Computer Journal",
journal-URL = "http://comjnl.oxfordjournals.org/",
keywords = "computer operating systems; dynamic storage allocation
system; equivalence classes; Fibonacci numbers;
immovable blocks; occupancy states; reflective
symmetry; rotational symmetries; storage allocation",
treatment = "P Practical",
}
@Article{Williams:1982:NFQ,
author = "H. C. Williams",
title = "A note on the {Fibonacci} quotient {$ F_{p -
\varepsilon } / p $}",
journal = j-CAN-MATH-BULL,
volume = "25",
number = "??",
pages = "366--370",
month = "????",
year = "1982",
CODEN = "CMBUA3",
DOI = "https://doi.org/10.4153/CMB-1982-053-0",
ISSN = "0008-4395 (print), 1496-4287 (electronic)",
ISSN-L = "0008-4395",
bibdate = "Thu Sep 8 10:05:09 MDT 2011",
bibsource = "http://cms.math.ca/cmb/v25/;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Canadian mathematical bulletin = Bulletin canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cmb/",
}
@Article{Zaheer:1982:LSV,
author = "Neyamat Zaheer",
title = "On {Lucas}-sets for vector-valued abstract polynomials
in {$K$}-inner product spaces",
journal = j-CAN-J-MATH,
volume = "34",
number = "??",
pages = "832--852",
month = "????",
year = "1982",
CODEN = "CJMAAB",
DOI = "https://doi.org/10.4153/CJM-1982-058-5",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:38:56 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v34/;
https://www.math.utah.edu/pub/tex/bib/canjmath1980.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Brillhart:1983:LEP,
author = "John Brillhart",
title = "Letter to the editor: {``Properties of polynomials
having Fibonacci numbers for coefficients'' [Fibonacci
Quart. {\bf 21} (1983), no. 1, 62--64; MR 84f:10018a]
by D. H. Lehmer and E. Lehmer}",
journal = j-FIB-QUART,
volume = "21",
number = "4",
pages = "259",
year = "1983",
CODEN = "FIBQAU",
ISSN = "0015-0517",
MRclass = "10A40 (10M05)",
MRnumber = "723785",
MRreviewer = "Neville Robbins",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Er:1983:CSO,
author = "M. C. Er",
title = "Computing Sums of Order-$k$ {Fibonacci} Numbers in Log
Time",
journal = j-INFO-PROC-LETT,
volume = "17",
number = "1",
pages = "1--5",
day = "19",
month = jul,
year = "1983",
CODEN = "IFPLAT",
ISSN = "0020-0190 (print), 1872-6119 (electronic)",
ISSN-L = "0020-0190",
MRclass = "11Y55 (11B39 68Q25)",
MRnumber = "85b:11124",
MRreviewer = "Samuel S. Wagstaff, Jr.",
bibdate = "Wed Nov 11 12:16:26 MST 1998",
bibsource = "Compendex database;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
classification = "723; C1110 (Algebra); C1160 (Combinatorial
mathematics)",
corpsource = "Dept. of Computing Sci., Univ. of Wollongong,
Wollongong, NSW, Australia",
fjournal = "Information Processing Letters",
journal-URL = "http://www.sciencedirect.com/science/journal/00200190",
journalabr = "Inf Process Lett",
keywords = "computer programming; Fibonacci numbers; log time;
matrix; matrix algebra; number theory; order-k
Fibonacci numbers; sums",
treatment = "T Theoretical or Mathematical",
}
@Article{Er:1983:FAC,
author = "M. C. Er",
title = "Fast Algorithm for Computing Order-{$K$} {Fibonacci}
Numbers",
journal = j-COMP-J,
volume = "26",
number = "3",
pages = "224--227",
month = aug,
year = "1983",
CODEN = "CMPJA6",
ISSN = "0010-4620 (print), 1460-2067 (electronic)",
ISSN-L = "0010-4620",
bibdate = "Tue Mar 25 13:51:56 MST 1997",
bibsource = "Compendex database;
http://www3.oup.co.uk/computer_journal/hdb/Volume_26/Issue_03/;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www3.oup.co.uk/computer_journal/hdb/Volume_26/Issue_03/tiff/224.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_26/Issue_03/tiff/225.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_26/Issue_03/tiff/226.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_26/Issue_03/tiff/227.tif",
acknowledgement = ack-nhfb,
classcodes = "C4190 (Other numerical methods); C4240 (Programming
and algorithm theory)",
classification = "723",
corpsource = "Dept. of Computing Sci., Univ. of Wollongong,
Wollongong, NSW, Australia",
fjournal = "The Computer Journal",
journal-URL = "http://comjnl.oxfordjournals.org/",
keywords = "complexity; computational complexity; computer
programming; Fibonacci numbers; order-K Fibonacci
numbers; series (mathematics); space complexity; time",
treatment = "T Theoretical or Mathematical",
}
@Article{Picutti:1983:BLP,
author = "Ettore Picutti",
title = "Il {{\booktitle{Flos}}} di {Leonardo Pisano} dal
codice {E.75.P.} sup. della {Biblioteca Ambrosiana di
Milano}. ({Italian}) [{The} ``{{\booktitle{Flos}}}'' of
{Leonardo Pisano} (from the {Codex E.75.P.} sup. of the
{Ambrosia Library of Milan})]",
journal = j-PHYSIS,
volume = "25",
number = "2",
pages = "293--387",
year = "1983",
CODEN = "PYSSA3",
ISSN = "0031-9414 (print), 2038-6265 (electronic)",
ISSN-L = "0031-9414",
MRclass = "01A35 (01A75)",
MRnumber = "712245 (85c:01010)",
MRreviewer = "Livia Giacardi",
bibdate = "Thu Jun 11 18:07:09 MDT 2015",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/physis.bib;
MathSciNet database; zbMATH database",
ZMnumber = "0528.01007",
acknowledgement = ack-nhfb,
fjournal = "Physis: Rivista Internazionale di Storia della
Scienza",
journal-URL = "http://www.olschki.it/riviste/17",
language = "Italian",
subjects = "algebraic equations; constructions; practical problem;
indeterminate linear equations; equilateral pentagon",
}
@Article{Picutti:1983:FLP,
author = "Ettore Picutti",
title = "The ``{Flos}'' of {Leonardo Pisano} (dal {codice E. 75
P. sup. della Biblioteca Ambrosiana di Milano})",
journal = j-PHYSIS,
volume = "25",
number = "2",
pages = "293--387",
year = "1983",
CODEN = "PYSSA3",
ISSN = "0031-9414 (print), 2038-6265 (electronic)",
ISSN-L = "0031-9414",
MRclass = "01A35 (01A75)",
MRnumber = "712245 (85c:01010)",
MRreviewer = "Livia Giacardi",
bibdate = "Thu Jun 11 18:07:09 MDT 2015",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/physis.bib;
MathSciNet database; zbMATH database",
ZMnumber = "0528.01007",
acknowledgement = ack-nhfb,
fjournal = "Physis: Rivista Internazionale di Storia della
Scienza",
journal-URL = "http://www.olschki.it/riviste/17",
language = "Italian",
subjects = "algebraic equations; constructions; practical problem;
indeterminate linear equations; equilateral pentagon",
xxtitle = "The {{\booktitle{Flos}}} of {Leonardo Pisano}",
}
@Article{Prodinger:1983:OFP,
author = "Helmut Prodinger",
title = "Ordered {Fibonacci} partitions",
journal = j-CAN-MATH-BULL,
volume = "26",
number = "??",
pages = "312--316",
month = "????",
year = "1983",
CODEN = "CMBUA3",
DOI = "https://doi.org/10.4153/CMB-1983-050-4",
ISSN = "0008-4395 (print), 1496-4287 (electronic)",
ISSN-L = "0008-4395",
bibdate = "Thu Sep 8 10:05:15 MDT 2011",
bibsource = "http://cms.math.ca/cmb/v26/;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Canadian mathematical bulletin = Bulletin canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cmb/",
}
@InCollection{Vorobev:1983:FN,
author = "Nikolai N. Vorobev",
editor = "Ian Naismith Sneddon",
booktitle = "{Fibonacci} Numbers",
title = "{Fibonacci} Numbers",
publisher = "New Classics Library",
address = "????",
pages = "??",
year = "1983",
bibdate = "Sat Jan 26 12:46:16 MST 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/datacompression.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "Translation by Halina Moss. Reprint of
\cite{Vorobev:1961:FN}.",
acknowledgement = ack-ds,
rawdata = "Vorobev, Nikolai N. (1983) in Ian N. Sneddon (ed.),
and Halina Moss (translator), {\it Fibonacci Numbers},
New Classics Library.",
xxauthor = "Nikolai N. Vorobiev",
}
@Article{Williams:1983:NLU,
author = "M. R. Williams",
title = "From {Napier} to {Lucas}: The Use of {Napier}'s Bones
in Calculating Instruments",
journal = j-ANN-HIST-COMPUT,
volume = "5",
number = "3",
pages = "279--296",
month = jul # "\slash " # sep,
year = "1983",
CODEN = "AHCOE5",
ISSN = "0164-1239",
bibdate = "Fri Nov 1 15:29:20 MST 2002",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://dlib.computer.org/an/books/an1983/pdf/a3279.pdf;
http://www.computer.org/annals/an1983/a3279abs.htm",
acknowledgement = ack-nhfb,
fjournal = "Annals of the History of Computing",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5488650",
}
@Article{Cooper:1984:AGF,
author = "Curtis Cooper",
title = "Application of a Generalized {Fibonacci} Sequence",
journal = j-COLLEGE-MATH-J,
volume = "15",
number = "2",
pages = "145--147",
month = mar,
year = "1984",
CODEN = "????",
DOI = "https://doi.org/10.1080/00494925.1984.11972766",
ISSN = "0746-8342 (print), 1931-1346 (electronic)",
ISSN-L = "0746-8342",
bibdate = "Thu Feb 14 09:49:53 MST 2019",
bibsource = "https://www.math.utah.edu/pub/tex/bib/collegemathj.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.tandfonline.com/doi/abs/10.1080/00494925.1984.11972766",
acknowledgement = ack-nhfb,
fjournal = "College Mathematics Journal",
journal-URL = "https://maa.tandfonline.com/loi/ucmj20;
https://www.jstor.org/journal/collmathj",
onlinedate = "30 Jan 2018",
}
@Article{Fraenkel:1984:WGC,
author = "A. S. Fraenkel",
title = "{Wythoff} games, continued fractions, cedar trees and
{Fibonacci} searches",
journal = j-THEOR-COMP-SCI,
volume = "29",
number = "1-2",
pages = "49--73",
month = mar,
year = "1984",
CODEN = "TCSCDI",
ISSN = "0304-3975 (print), 1879-2294 (electronic)",
ISSN-L = "0304-3975",
bibdate = "Sat Nov 22 13:29:49 MST 1997",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
classification = "B0240E (Game theory); B0250 (Combinatorial
mathematics); C1140E (Game theory); C1160
(Combinatorial mathematics)",
corpsource = "Dept. of Appl. Math., Weizmann Inst. of Sci., Rehovot,
Israel",
fjournal = "Theoretical Computer Science",
journal-URL = "http://www.sciencedirect.com/science/journal/03043975/",
keywords = "algebraic strategy; arithmetic strategies; binary
trees; cedar trees; continued fractions; Fibonacci
searches; game theory; misere play; recursive strategy;
trees (mathematics); Wythoff games",
pubcountry = "Netherlands",
treatment = "T Theoretical or Mathematical",
}
@InProceedings{Fredman:1984:FHT,
author = "M. L. Fredman and R. E. Tarjan",
title = "{Fibonacci} Heaps and Their Uses in Improved Network
Optimization Algorithms",
crossref = "IEEE:1984:ASF",
pages = "338--346",
year = "1984",
bibdate = "Thu Apr 5 06:13:39 MDT 2001",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
}
@Article{Knuth:1984:CQD,
author = "Donald E. Knuth and Erwin Tomash and M. R. Williams",
title = "Comments, Queries, and Debate: {FORTRAN}
implementations; The {Madrid} promptuary; {Edouard
Lucas} Vindicated; Photo Essays",
journal = j-ANN-HIST-COMPUT,
volume = "6",
number = "4",
pages = "402--405",
month = oct # "\slash " # dec,
year = "1984",
CODEN = "AHCOE5",
ISSN = "0164-1239",
bibdate = "Fri Nov 1 15:29:22 MST 2002",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://dlib.computer.org/an/books/an1984/pdf/a4402.pdf;
http://www.computer.org/annals/an1984/a4402abs.htm",
acknowledgement = ack-nhfb,
fjournal = "Annals of the History of Computing",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5488650",
}
@Article{Martin:1984:PFA,
author = "Alain J. Martin and Martin Rem",
title = "A presentation of the {Fibonacci} algorithm",
journal = j-INFO-PROC-LETT,
volume = "19",
number = "2",
pages = "67--68",
day = "31",
month = aug,
year = "1984",
CODEN = "IFPLAT",
ISSN = "0020-0190 (print), 1872-6119 (electronic)",
ISSN-L = "0020-0190",
MRclass = "11Y55 (05-04 05A10 11B39)",
MRnumber = "85m:11093",
bibdate = "Wed Nov 11 12:16:26 MST 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
classification = "C7310 (Mathematics computing)",
corpsource = "Dept. of Computer Sci., California Inst. of Technol.,
Pasadena, CA, USA",
fjournal = "Information Processing Letters",
journal-URL = "http://www.sciencedirect.com/science/journal/00200190",
keywords = "Fibonacci algorithm; mathematics",
treatment = "P Practical",
}
@Article{Ottmann:1984:BST,
author = "Thomas Ottmann and Arnold L. Rosenberg and Hans-Werner
Six and Derick Wood",
title = "Binary search trees with binary comparison cost",
journal = j-INT-J-COMPUT-INF-SCI,
volume = "13",
number = "2",
pages = "77--101",
month = apr,
year = "1984",
CODEN = "IJCIAH",
ISSN = "0091-7036",
MRclass = "68P05 (68P10)",
MRnumber = "85j:68016",
bibdate = "Sat Apr 26 14:03:16 MDT 1997",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
classification = "C1160 (Combinatorial mathematics); C6120 (File
organisation)",
corpsource = "Inst. fur Angewande Inf. und
Formalebeschreibungsverfahren, Univ. Karlsruhe, West
Germany",
fjournal = "International Journal of Computer and Information
Sciences",
journal-URL = "http://link.springer.com/journal/10766",
keywords = "BCOST; binary comparison cost; binary search trees;
cost measure; data structures; Fibonacci trees;
information retrieval; maximal BCOST-height trees; mode
visit cost; stratified trees; TCOST; trees
(mathematics)",
treatment = "T Theoretical or Mathematical",
}
@Article{Phillips:1984:ASF,
author = "G. M. Phillips",
title = "{Aitken} Sequences and {Fibonacci} Numbers",
journal = j-AMER-MATH-MONTHLY,
volume = "91",
number = "6",
pages = "354--357",
month = jun # "\slash " # jul,
year = "1984",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "65B99 (11B39)",
MRnumber = "85h:65013",
MRreviewer = "Claude Brezinski",
bibdate = "Mon Jun 28 12:37:35 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Curchin:1985:QDP,
author = "Leonard Curchin and Roger Herz-Fischler",
title = "De quand date le premier rapprochement entre la suite
de {Fibonacci} et la division en extreme et moyenne
raison?. ({French}) [{When} was the first
reconciliation between the {Fibonacci} series and
division in extreme and mean reason?]",
journal = j-CENTAURUS,
volume = "28",
number = "2",
pages = "129--138",
month = jul,
year = "1985",
CODEN = "CENTA4",
DOI = "https://doi.org/10.1111/j.1600-0498.1985.tb00832.x",
ISSN = "0008-8994 (print), 1600-0498 (electronic)",
ISSN-L = "0008-8994",
bibdate = "Sat Jul 27 18:43:16 MDT 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/centaurus.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Centaurus: An International Journal of the History of
Science and its Cultural Aspects",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1600-0498/",
language = "French",
onlinedate = "28 Jun 2008",
}
@Article{El-Basil:1985:FGP,
author = "Sherif El-Basil and Pavel K{\v{r}}ivka and Nenad
Trinajsti{\'c}",
title = "{Fibonacci} graphs possessing identical matching
polynomials",
journal = j-J-MATH-PHYS,
volume = "26",
number = "9",
pages = "2396--2398",
month = sep,
year = "1985",
CODEN = "JMAPAQ",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
MRclass = "05C99",
MRnumber = "87a:05125",
MRreviewer = "Fabrizio Luccio",
bibdate = "Fri Jan 2 07:23:17 MST 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
}
@Article{Franci:1985:THA,
author = "R. Franci and L. Toti Rigatelli",
title = "Towards a history of algebra from {Leonardo of Pisa}
to {Luca Pacioli}",
journal = "Janus",
volume = "72",
number = "1--3",
pages = "17--82",
month = "????",
year = "1985",
CODEN = "JNUSA6",
ISSN = "0021-4264",
MRclass = "01A35",
MRnumber = "856362 (87k:01012)",
MRreviewer = "H. L. L. Busard",
bibdate = "Thu Jan 31 06:27:48 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Janus. Revue Internationale de l'Histoire des
Sciences, de la M\'edecine, de la Pharmacie et de la
Technique",
}
@Article{Marsaglia:1985:MSR,
author = "George Marsaglia and Liang-Huei Tsay",
title = "Matrices and the structure of random number
sequences",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "67",
pages = "147--156",
year = "1985",
CODEN = "LAAPAW",
DOI = "https://doi.org/10.1016/0024-3795(85)90192-2",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
MRclass = "65C10 (15A99)",
MRnumber = "86g:65018",
MRreviewer = "Gheorghe Barbu",
bibdate = "Thu Jan 23 11:18:08 MST 1997",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/marsaglia-george.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
MathSciNet database",
ZMnumber = "0572.65002",
abstract = "This paper discusses the maximum period and randomness
structure of two random number generators:
shift-register and lagged-Fibonacci. Two theorems on
the period of the random number generators are derived
using linear algebra and matrix theory. Some
regularities of m-tuples of points are shown for the
shift-register generators analogous to that for the
congruential random number generators. It is also
suggested that no such regularities are appeared for
the lagged-Fibonacci generators since lags are long
enough.",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795",
keywords = "lagged Fibonacci; maximal period; randomness;
shift-register",
ZMclass = "*65C10 Random number generation",
ZMreviewer = "K. Uosaki",
}
@Article{McCabe:1985:ASG,
author = "J. H. McCabe and G. M. Phillips",
title = "{Aitken} sequences and generalized {Fibonacci}
numbers",
journal = j-MATH-COMPUT,
volume = "45",
number = "172",
pages = "553--558",
month = oct,
year = "1985",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "41A21 (11B39 65B05)",
MRnumber = "87b:41015",
MRreviewer = "Claude Brezinski",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Math. Inst., St. Andrews Univ., UK",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "Aitken acceleration; Aitken sequences; continued
fraction; Fibonacci; generalized Fibonacci numbers;
iterative methods; Newton method; numerical methods;
Pad{\'e} approximation; secant method; sequence",
treatment = "T Theoretical or Mathematical",
}
@Article{Singh:1985:CFN,
author = "Parmanand Singh",
title = "The so-called {Fibonacci} numbers in {Ancient} and
{Medieval India}",
journal = j-HIST-MATH,
volume = "12",
number = "3",
pages = "229--244",
month = aug,
year = "1985",
CODEN = "HIMADS",
DOI = "https://doi.org/10.1016/0315-0860(85)90021-7",
ISSN = "0315-0860 (print), 1090-249X (electronic)",
ISSN-L = "0315-0860",
bibdate = "Wed Jun 26 06:17:55 MDT 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/histmath.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0315086085900217",
acknowledgement = ack-nhfb,
fjournal = "Historia Mathematica",
journal-URL = "http://www.sciencedirect.com/science/journal/03150860",
}
@Article{Brezinski:1986:AEF,
author = "C. Brezinski and A. Lembarki",
title = "Acceleration of extended {Fibonacci} sequences",
journal = j-APPL-NUM-MATH,
volume = "2",
number = "1",
pages = "1--8",
month = feb,
year = "1986",
CODEN = "ANMAEL",
ISSN = "0168-9274 (print), 1873-5460 (electronic)",
ISSN-L = "0168-9274",
MRclass = "65B99 (40A15)",
MRnumber = "87k:65005",
MRreviewer = "A. M. Cohen",
bibdate = "Sat Feb 8 10:09:54 MST 1997",
bibsource = "https://www.math.utah.edu/pub/tex/bib/applnummath.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Applied Numerical Mathematics: Transactions of IMACS",
journal-URL = "http://www.sciencedirect.com/science/journal/01689274",
}
@Article{Chor:1986:ANT,
author = "Benny Chor and Charles E. Leiserson and Ronald L.
Rivest and James B. Shearer",
title = "An Application of Number Theory to the Organization of
Raster-Graphics Memory",
journal = j-J-ACM,
volume = "33",
number = "1",
pages = "86--104",
month = jan,
year = "1986",
CODEN = "JACOAH",
ISSN = "0004-5411 (print), 1557-735X (electronic)",
ISSN-L = "0004-5411",
bibdate = "Wed Jan 15 18:12:53 MST 1997",
bibsource = "Compendex database;
ftp://ftp.ira.uka.de/pub/bibliography/Graphics/rosenfeld/1986.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jacm.bib",
URL = "http://www.acm.org/pubs/toc/Abstracts/0004-5411/4800.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
abstract = "A high-resolution raster-graphics display is usually
combined with processing power and a memory
organization that facilitates basic graphics
operations. For many applications, including
interactive text processing, the ability to quickly
move or copy small rectangles of pixels is essential.
This paper proposes a novel organization of
raster-graphics memory that permits all small
rectangles to be moved efficiently. The memory
organization is based on a doubly periodic assignment
of pixels to M memory chips according to a `Fibonacci'
lattice. The memory organization guarantees that, if a
rectilinearly oriented rectangle contains fewer than M/
ROOT 5 pixels, then all pixels will reside in different
memory chips and thus can be accessed simultaneously.
Moreover, any M consecutive pixels, arranged either
horizontally or vertically, can be accessed
simultaneously.",
acknowledgement = ack-nhfb,
affiliationaddress = "MIT, Lab for Computer Science, Cambridge, MA,
USA",
classification = "722; 921",
fjournal = "Journal of the Association for Computing Machinery",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401",
journalabr = "J Assoc Comput Mach",
keywords = "data storage units; design; display devices; Fibonacci
lattices; image part pattern; interleaving;
mathematical techniques --- Number Theory; memory
organization; raster-graphics memory; theory",
subject = "{\bf I.3.1}: Computing Methodologies, COMPUTER
GRAPHICS, Hardware architecture, Raster display
devices. {\bf B.3.2}: Hardware, MEMORY STRUCTURES,
Design Styles, Interleaved memories. {\bf B.4.2}:
Hardware, INPUT/OUTPUT AND DATA COMMUNICATIONS,
Input/Output Devices, Image display.",
}
@Article{Coquet:1986:SFI,
author = "Jean Coquet and Pascal {Van Den Bosch}",
title = "A summation formula involving {Fibonacci} digits",
journal = j-J-NUMBER-THEORY,
volume = "22",
number = "2",
pages = "139--146",
month = feb,
year = "1986",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/0022-314X(86)90065-X",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Wed Jul 15 08:46:49 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jnumbertheory1980.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0022314X8690065X",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
}
@Article{Taillie:1986:FDR,
author = "C. Taillie and G. P. Patil",
title = "The {Fibonacci} distribution revisited",
journal = j-COMMUN-STAT-THEORY-METH,
volume = "15",
number = "3",
pages = "951--959",
year = "1986",
CODEN = "CSTMDC",
DOI = "https://doi.org/10.1080/03610928608829162",
ISSN = "0361-0926 (print), 1532-415X (electronic)",
ISSN-L = "0361-0926",
bibdate = "Tue Jan 26 18:59:55 MST 2016",
bibsource = "https://www.math.utah.edu/pub/tex/bib/communstattheorymeth1980.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Communications in Statistics: Theory and Methods",
journal-URL = "http://www.tandfonline.com/loi/lsta20",
}
@Article{Watson:1986:RCB,
author = "J. F. Watson",
title = "Recursion: a choice between readability and execution
speed",
journal = j-SIGPLAN,
volume = "21",
number = "5",
pages = "82--90",
month = may,
year = "1986",
CODEN = "SINODQ",
ISSN = "0362-1340 (print), 1523-2867 (print), 1558-1160
(electronic)",
ISSN-L = "0362-1340",
bibdate = "Sun Dec 14 09:14:58 MST 2003",
bibsource = "http://portal.acm.org/;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/sigplan1980.bib",
acknowledgement = ack-nhfb,
classification = "C4240 (Programming and algorithm theory)",
corpsource = "Mitre Corp., McLean, VA, USA",
fjournal = "ACM SIGPLAN Notices",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J706",
keywords = "computational complexity; execution speed; Fibonacci
numbers; iterative algorithms; iterative methods;
recursion; theory; timing requirements",
pubcountry = "USA A08",
subject = "F.4.1 Theory of Computation, MATHEMATICAL LOGIC AND
FORMAL LANGUAGES, Mathematical Logic, Recursive
function theory \\ I.1.2 Computing Methodologies,
ALGEBRAIC MANIPULATION, Algorithms, Analysis of
algorithms",
treatment = "T Theoretical or Mathematical",
}
@Article{Apostolico:1987:RTU,
author = "Alberto Apostolico and A. S. Fraenkel",
title = "Robust Transmission of Unbounded Strings {Using}
{Fibonacci} Representations",
journal = j-IEEE-TRANS-INF-THEORY,
volume = "33",
number = "2",
pages = "238--245",
month = mar,
year = "1987",
CODEN = "IETTAW",
ISSN = "0018-9448 (print), 1557-9654 (electronic)",
ISSN-L = "0018-9448",
bibdate = "Sat Jan 26 12:46:16 MST 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/datacompression.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-ds,
fjournal = "IEEE Transactions on Information Theory",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=18",
rawdata = "Apostolico, Alberto and A. S. Fraenkel (1987) ``Robust
Transmission of Unbounded Strings Using Fibonacci
Representations,'' {\it IEEE Transactions on
Information Theory}, {\bf33}(2):238--245, March.",
}
@Article{Atkins:1987:FNC,
author = "John Atkins and Robert Geist",
title = "{Fibonacci} Numbers and Computer Algorithms",
journal = j-COLLEGE-MATH-J,
volume = "18",
number = "4",
pages = "328--336",
month = sep,
year = "1987",
CODEN = "????",
DOI = "https://doi.org/10.1080/07468342.1987.11973055",
ISSN = "0746-8342 (print), 1931-1346 (electronic)",
ISSN-L = "0746-8342",
bibdate = "Thu Feb 14 09:50:33 MST 2019",
bibsource = "https://www.math.utah.edu/pub/tex/bib/collegemathj.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.tandfonline.com/doi/abs/10.1080/07468342.1987.11973055",
acknowledgement = ack-nhfb,
fjournal = "College Mathematics Journal",
journal-URL = "https://maa.tandfonline.com/loi/ucmj20;
https://www.jstor.org/journal/collmathj",
onlinedate = "30 Jan 2018",
}
@Article{Atkinson:1987:CNM,
author = "M. D. Atkinson and H. W. Chang",
title = "Computing the number of mergings with constraints",
journal = j-INFO-PROC-LETT,
volume = "24",
number = "5",
pages = "289--292",
day = "16",
month = mar,
year = "1987",
CODEN = "IFPLAT",
ISSN = "0020-0190 (print), 1872-6119 (electronic)",
ISSN-L = "0020-0190",
bibdate = "Wed Nov 11 12:16:26 MST 1998",
bibsource = "Compendex database;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/infoproc1980.bib",
acknowledgement = ack-nhfb,
affiliationaddress = "Carleton Univ, Ottawa, Ont, Can",
classification = "723; C4240 (Programming and algorithm theory); C6130
(Data handling techniques)",
corpsource = "Sch. of Comput. Sci., Carleton Univ., Ottawa, Ont.,
Canada",
fjournal = "Information Processing Letters",
journal-URL = "http://www.sciencedirect.com/science/journal/00200190",
journalabr = "Inf Process Lett",
keywords = "algorithms; Catalan numbers; computational complexity;
computer metatheory; computer programming ---
Algorithms; computer systems programming; Fibonacci
numbers; list merging; list processing; Merging;
merging; mergings; mergings with constraints; time
complexity; verification",
pubcountry = "Netherlands A03",
subject = "G.1.6 Mathematics of Computing, NUMERICAL ANALYSIS,
Optimization, Constrained optimization \\ F.2.2 Theory
of Computation, ANALYSIS OF ALGORITHMS AND PROBLEM
COMPLEXITY, Nonnumerical Algorithms and Problems,
Sequencing and scheduling \\ F.2.2 Theory of
Computation, ANALYSIS OF ALGORITHMS AND PROBLEM
COMPLEXITY, Nonnumerical Algorithms and Problems,
Sorting and searching",
treatment = "T Theoretical or Mathematical",
}
@Article{Chazelle:1987:ICO,
author = "B. Chazelle and D. P. Dobkin",
title = "Intersection of Convex Objects in Two and Three
Dimensions",
journal = j-J-ACM,
volume = "34",
number = "1",
pages = "1--27",
month = jan,
year = "1987",
CODEN = "JACOAH",
ISSN = "0004-5411 (print), 1557-735X (electronic)",
ISSN-L = "0004-5411",
bibdate = "Wed Jan 15 18:12:53 MST 1997",
bibsource = "Compendex database;
ftp://ftp.ira.uka.de/pub/siggraph/87.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jacm.bib",
URL = "http://www.acm.org/pubs/toc/Abstracts/0004-5411/24036.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
abstract = "One of the basic geometric operations involves
determining whether a pair of convex objects intersect.
This problem is well understood in a model of
computation in which the objects are given as input and
their intersection is returned as output. For many
applications, however, it may be assumed that the
objects already exist within the computer and that the
only output desired is a single piece of data giving a
common point if the objects intersect or reporting no
intersection if they are disjoint. For this problem,
none of the previous lower bounds are valid and
algorithms are proposed requiring sublinear time for
their solution in two and three dimensions.",
acknowledgement = ack-nhfb,
affiliationaddress = "Yale Univ, New Haven, CT, USA",
classification = "723; 921",
fjournal = "Journal of the Association for Computing Machinery",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401",
journalabr = "J Assoc Comput Mach",
keywords = "Algorithms; algorithms; computer programming; convex
sets; Fibonacci search; image part form; intersection
of convex objects; mathematical techniques ---
Geometry; theory; verification",
subject = "{\bf E.1}: Data, DATA STRUCTURES. {\bf F.2.2}: Theory
of Computation, ANALYSIS OF ALGORITHMS AND PROBLEM
COMPLEXITY, Nonnumerical Algorithms and Problems.",
}
@Article{Collings:1987:CRN,
author = "Bruce Jay Collings",
title = "Compound Random Number Generators",
journal = j-J-AM-STAT-ASSOC,
volume = "82",
number = "398",
pages = "525--527",
month = jun,
year = "1987",
CODEN = "JSTNAL",
ISSN = "0162-1459 (print), 1537-274X (electronic)",
ISSN-L = "0162-1459",
bibdate = "Wed Jan 25 08:05:59 MST 2012",
bibsource = "http://www.jstor.org/journals/01621459.html;
http://www.jstor.org/stable/i314282;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jamstatassoc1980.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2289456",
acknowledgement = ack-nhfb,
fjournal = "Journal of the American Statistical Association",
journal-URL = "http://www.tandfonline.com/loi/uasa20",
}
@Article{Cox:1987:AAR,
author = "Michael Cox",
title = "An alternative approach to recursive {Fibonacci}
sequences",
journal = j-SIGCSE,
volume = "19",
number = "3",
pages = "38--40",
day = "1",
month = sep,
year = "1987",
CODEN = "SIGSD3",
DOI = "https://doi.org/10.1145/36093.36105",
ISSN = "0097-8418 (print), 2331-3927 (electronic)",
ISSN-L = "0097-8418",
bibdate = "Sun Nov 18 07:38:30 MST 2012",
bibsource = "http://portal.acm.org/;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/sigcse1980.bib",
abstract = "Generating a term of a Fibonacci sequence is often
discussed in introductory programming courses as an
example where the recursive form has a very desirable
simple beauty, but where the price of recursion is too
high in terms of time and space. By generalizing to any
Fibonacci sequence, another recursive formula can be
used that remains simple for understanding and yet is
fast and requires reasonable resources.",
acknowledgement = ack-nhfb,
fjournal = "SIGCSE Bulletin (ACM Special Interest Group on
Computer Science Education)",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J688",
}
@Article{El-Basil:1987:CPF,
author = "Sherif El-Basil",
title = "On color polynomials of {Fibonacci} graphs",
journal = j-J-COMPUT-CHEM,
volume = "8",
number = "7",
pages = "956--959",
month = oct,
year = "1987",
CODEN = "JCCHDD",
DOI = "https://doi.org/10.1002/jcc.540080704",
ISSN = "0192-8651 (print), 1096-987X (electronic)",
ISSN-L = "0192-8651",
bibdate = "Thu Nov 29 14:54:03 MST 2012",
bibsource = "http://www.interscience.wiley.com/jpages/0192-8651;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jcomputchem1980.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational Chemistry",
journal-URL = "http://www.interscience.wiley.com/jpages/0192-8651",
onlinedate = "7 Sep 2004",
}
@Article{Fredman:1987:FHT,
author = "Michael L. Fredman and Robert Endre Tarjan",
title = "{Fibonacci} Heaps and Their Uses in Improved Network
Optimization Algorithms",
journal = j-J-ACM,
volume = "34",
number = "3",
pages = "596--615",
month = jul,
year = "1987",
CODEN = "JACOAH",
ISSN = "0004-5411 (print), 1557-735X (electronic)",
ISSN-L = "0004-5411",
bibdate = "Wed Jan 15 18:12:53 MST 1997",
bibsource = "Compendex database;
ftp://ftp.ira.uka.de/pub/bibliography/Misc/IMMD_IV.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.acm.org/pubs/toc/Abstracts/0004-5411/28874.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
abstract = "In this paper we develop a new data structure for
implementing heaps (priority queues). Our structure,
Fibonacci heaps (abbreviated $F$-heaps), extends the
binomial queues proposed by J. Vuillemin. $F$-heaps
support arbitrary deletion from an $n$-item heap in {$
O(\log n) $} amortized time and all other standard heap
operations in {$ O(1) $} amortized time. Using
$F$-heaps we are able to obtain improved running times
for several network optimization algorithms. In
particular, we obtain several worst-case bounds. Of the
results, an improved bound for minimum spanning trees
is the most striking, although all the results give
asymptotic improvements for graphs of appropriate
densities.",
acknowledgement = ack-nhfb,
affiliationaddress = "Univ of California at San Diego, La Jolla, CA,
USA",
classification = "723; 921",
fjournal = "Journal of the Association for Computing Machinery",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401",
journalabr = "J Assoc Comput Mach",
keywords = "algorithms; binomial queues; computer networks ---
Optimization; computer programming --- Algorithms; data
processing; Data Structures; Fibonacci heaps;
mathematical techniques --- Graph Theory; network
optimization algorithms; theory; worst-case bounds",
subject = "{\bf E.1}: Data, DATA STRUCTURES, Graphs. {\bf E.1}:
Data, DATA STRUCTURES, Trees. {\bf F.2.2}: Theory of
Computation, ANALYSIS OF ALGORITHMS AND PROBLEM
COMPLEXITY, Nonnumerical Algorithms and Problems,
Computations on discrete structures. {\bf F.2.2}:
Theory of Computation, ANALYSIS OF ALGORITHMS AND
PROBLEM COMPLEXITY, Nonnumerical Algorithms and
Problems, Sorting and searching. {\bf G.2.2}:
Mathematics of Computing, DISCRETE MATHEMATICS, Graph
Theory.",
}
@Article{Gries:1987:HRC,
author = "David Gries and Adriano Pascoletti and Luigi Sbriz",
title = "{Horner}'s rule and the computation of linear
recurrences",
journal = j-INFO-PROC-LETT,
volume = "25",
number = "4",
pages = "237--240",
day = "17",
month = jun,
year = "1987",
CODEN = "IFPLAT",
ISSN = "0020-0190 (print), 1872-6119 (electronic)",
ISSN-L = "0020-0190",
MRclass = "11Y55 (11B37 11B39)",
MRnumber = "88m:11113",
MRreviewer = "Kenneth A. Jukes",
bibdate = "Wed Nov 11 12:16:26 MST 1998",
bibsource = "Compendex database;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/infoproc1980.bib",
acknowledgement = ack-nhfb,
affiliationaddress = "Cornell Univ, Ithaca, NY, USA",
classification = "723; 921; C4170 (Differential equations); C4240
(Programming and algorithm theory)",
corpsource = "Dept. of Comput. Sci., Cornell Univ., Ithaca, NY,
USA",
fjournal = "Information Processing Letters",
journal-URL = "http://www.sciencedirect.com/science/journal/00200190",
journalabr = "Inf Process Lett",
keywords = "algorithms; binary representation; computational
complexity; computer programming --- Algorithms;
Difference Equations; difference equations;
exponentiation; Fibonacci numbers; Horner's rule;
Horner's scheme; linear difference equation; linear
recurrences; logarithmic algorithm; mathematical
techniques; theory; verification",
pubcountry = "Netherlands A07",
subject = "G.1.3 Mathematics of Computing, NUMERICAL ANALYSIS,
Numerical Linear Algebra, Linear systems (direct and
iterative methods) \\ G.2.1 Mathematics of Computing,
DISCRETE MATHEMATICS, Combinatorics, Recurrences and
difference equations",
treatment = "T Theoretical or Mathematical",
}
@Article{Indermark:1987:CFL,
author = "K. Indermark and H. Klaeren",
title = "Compiling {Fibonacci}-like recursion",
journal = j-SIGPLAN,
volume = "22",
number = "6",
pages = "101--108",
month = jun,
year = "1987",
CODEN = "SINODQ",
ISSN = "0362-1340 (print), 1523-2867 (print), 1558-1160
(electronic)",
ISSN-L = "0362-1340",
bibdate = "Sun Dec 14 09:15:12 MST 2003",
bibsource = "http://portal.acm.org/;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "ACM SIGPLAN Notices",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J706",
keywords = "languages",
subject = "D.3.4 Software, PROGRAMMING LANGUAGES, Processors,
Compilers \\ F.3.3 Theory of Computation, LOGICS AND
MEANINGS OF PROGRAMS, Studies of Program Constructs,
Program and recursion schemes",
}
@Article{Nishihara:1987:BSR,
author = "Seiichi Nishihara and Hiroji Nishino",
title = "Binary Search Revisited: Another Advantage of
{Fibonacci} Search",
journal = j-IEEE-TRANS-COMPUT,
volume = "C-36",
number = "9",
pages = "1132--1135",
month = sep,
year = "1987",
CODEN = "ITCOB4",
DOI = "https://doi.org/10.1109/TC.1987.5009548",
ISSN = "0018-9340 (print), 1557-9956 (electronic)",
ISSN-L = "0018-9340",
bibdate = "Sat Jul 9 09:28:55 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5009548",
abstract = "Binary search method is a well-known and a fundamental
technique to search a key out of an ordered table.
Fibonacci search is kind of binary search adopting
nonequal splitting criterion for dividing the remaining
part of the table. This paper clarifies another
advantage of Fibonacci search, which has not been found
so far. First, it is shown that, from the viewpoint of
the amount of head movement, Fibonacci search gives
more than 10 percent better efficiency than the
ordinary binary search. Furthermore, we propose a novel
variation of Fibonacci search, and show that it attains
nearly 20 percent better efficiency in average than the
ordinary binary search.",
acknowledgement = ack-nhfb,
fjournal = "IEEE Transactions on Computers",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12",
}
@Article{Williams:1987:EPT,
author = "H. C. Williams",
title = "Effective primality tests for some integers of the
forms $ {A5}^n - 1 $ and $ {A7}^n - 1 $",
journal = j-MATH-COMPUT,
volume = "48",
number = "177",
pages = "385--403",
month = jan,
year = "1987",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "11Y11 (11A51)",
MRnumber = "88b:11089",
MRreviewer = "Samuel S. Wagstaff, Jr.",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C1160 (Combinatorial mathematics); C4240 (Programming
and algorithm theory)",
corpsource = "Dept. of Comput. Sci., Manitoba Univ., Winnipeg, Man.,
Canada",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "computational complexity; Lucas functions; number
theory; polynomial time prime tests; primality tests",
treatment = "T Theoretical or Mathematical",
}
@Article{Altman:1988:BWB,
author = "N. S. Altman",
title = "Bit-wise behavior of random number generators",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "9",
number = "5",
pages = "941--949",
month = sep,
year = "1988",
CODEN = "SIJCD4",
DOI = "https://doi.org/10.1137/0909065",
ISSN = "0196-5204",
MRclass = "65C10",
MRnumber = "89i:65006",
MRreviewer = "Gheorghe Barbu",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
https://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib",
acknowledgement = ack-nhfb,
classification = "C1140Z (Other and miscellaneous); C5230 (Digital
arithmetic methods); C7310 (Mathematics)",
corpsource = "Dept. of Biometrics, Cornell Univ., Ithaca, NY, USA",
fjournal = "SIAM Journal on Scientific and Statistical Computing",
journal-URL = "http://epubs.siam.org/loi/sjoce3",
keywords = "central bits; combination generators; Fibonacci
generators; linear congruential generator; lower-order
bits; m-tuple test; modulo 2/sup p/; nonrandom
behavior; nonrandomness; pseudorandom integers;
pseudorandom number generators; random number
generation; shift register generators",
treatment = "T Theoretical or Mathematical",
}
@Article{Anonymous:1988:TEB,
author = "Anonymous",
title = "Table errata: {{\em The book of squares} [Academic
Press, Boston, Mass., 1987, MR 88m:01021a] by L. P.
Fibonacci}",
journal = j-MATH-COMPUT,
volume = "50",
number = "182",
pages = "654--654",
month = apr,
year = "1988",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "01A35 (01A75)",
MRnumber = "88m:01021b",
MRreviewer = "M. Folkerts",
bibdate = "Wed Jan 15 09:19:40 1997",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Brillhart:1988:STF,
author = "John Brillhart and Peter L. Montgomery and Robert D.
Silverman",
title = "Supplement to Tables of {Fibonacci} and {Lucas}
Factorizations",
journal = j-MATH-COMPUT,
volume = "50",
number = "181",
pages = "S1--S15",
month = jan,
year = "1988",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Brillhart:1988:TFL,
author = "John Brillhart and Peter L. Montgomery and Robert D.
Silverman",
title = "Tables of {Fibonacci} and {Lucas} Factorizations",
journal = j-MATH-COMPUT,
volume = "50",
number = "181",
pages = "251--260, S1--S15",
month = jan,
year = "1988",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "11-04 (11B39)",
MRnumber = "89h:11002",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C1160 (Combinatorial mathematics); C7310
(Mathematics)",
corpsource = "Dept. of Math., Arizona Univ., Tucson, AZ, USA",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "factorizations; Fibonacci numbers; Lucas; mathematics
computing; number theory; numbers; primality tests;
prime factors",
treatment = "T Theoretical or Mathematical; X Experimental",
}
@Article{Carlton:1988:DPS,
author = "Mike Carlton and Peter {Van Roy}",
title = "Distributed {Prolog} System with and Parallelism",
journal = j-IEEE-SOFTWARE,
volume = "5",
number = "1",
pages = "43--51",
month = jan,
year = "1988",
CODEN = "IESOEG",
ISSN = "0740-7459 (print), 0740-7459 (electronic)",
ISSN-L = "0740-7459",
bibdate = "Sat Jan 25 07:35:26 MST 1997",
bibsource = "Compendex database;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/ieeesoft.bib",
acknowledgement = ack-nhfb,
affiliationaddress = "Univ of California, Berkeley, CA, USA",
classification = "722; 723",
fjournal = "IEEE Software",
journal-URL = "http://www.computer.org/portal/web/csdl/magazines/software",
journalabr = "IEEE Software",
keywords = "and-parallelism implementation; benchmark programs;
computer networks --- Testing; computer operating
systems --- Program Compilers; computer programming ---
Algorithms; computer systems programming --- Sorting;
computer systems, digital; Distributed; distributed
Prolog system; message passing; recursive Fibonacci
program",
}
@Article{Driscoll:1988:RHA,
author = "James R. Driscoll and Harold N. Gabow and Ruth
Shrairman and Robert E. Tarjan",
title = "Relaxed Heaps: An Alternative to {Fibonacci} Heaps
with Applications to Parallel Computation",
journal = j-CACM,
volume = "31",
number = "11",
pages = "1343--1354",
month = nov,
year = "1988",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
MRclass = "68P05",
MRnumber = "90k:68018",
bibdate = "Sat Apr 06 08:06:26 1996",
bibsource = "http://www.acm.org/pubs/toc/;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.acm.org/pubs/toc/Abstracts/0001-0782/50096.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "algorithms; design; theory",
subject = "{\bf F.2.2}: Theory of Computation, ANALYSIS OF
ALGORITHMS AND PROBLEM COMPLEXITY, Nonnumerical
Algorithms and Problems, Sorting and searching. {\bf
F.2.2}: Theory of Computation, ANALYSIS OF ALGORITHMS
AND PROBLEM COMPLEXITY, Nonnumerical Algorithms and
Problems, Computations on discrete structures. {\bf
E.1}: Data, DATA STRUCTURES. {\bf G.2.1}: Mathematics
of Computing, DISCRETE MATHEMATICS, Combinatorics,
Combinatorial algorithms. {\bf G.2.2}: Mathematics of
Computing, DISCRETE MATHEMATICS, Graph Theory.",
}
@Article{El-Basil:1988:TCA,
author = "S. El-Basil",
title = "Theory and computational applications of {Fibonacci}
graphs",
journal = j-J-MATH-CHEM,
volume = "2",
number = "1",
pages = "1--29",
month = feb,
year = "1988",
CODEN = "JMCHEG",
DOI = "https://doi.org/10.1007/BF01166466",
ISSN = "0259-9791 (print), 1572-8897 (electronic)",
ISSN-L = "0259-9791",
bibdate = "Thu Apr 9 18:13:36 MDT 2015",
bibsource = "http://link.springer.com/journal/10910/2/1;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jmathchem.bib",
URL = "http://link.springer.com/article/10.1007/BF01166466",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Chemistry",
journal-URL = "http://link.springer.com/journal/10910",
journalabr = "J. Math. Chem.",
}
@Article{Erdos:1988:LBC,
author = "P. Erd{\H{o}}s and P. Kiss and A. S{\'a}rk{\"o}zy",
title = "A Lower Bound for the Counting Function of {Lucas}
Pseudoprimes",
journal = j-MATH-COMPUT,
volume = "51",
number = "183",
pages = "315--323",
month = jul,
year = "1988",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "11B39 (11Y55)",
MRnumber = "89e:11011",
MRreviewer = "Samuel S. Wagstaff, Jr.",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0250 (Combinatorial mathematics); C1160
(Combinatorial mathematics)",
corpsource = "Math. Inst., Hungarian Acad. of Sci., Budapest,
Hungary",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "counting function; Lucas; nondegenerate Lucas
sequence; number theory; pseudoprimes",
treatment = "T Theoretical or Mathematical",
}
@Article{Knuth:1988:FM,
author = "Donald E. Knuth",
title = "{Fibonacci} multiplication",
journal = j-APPL-MATH-LETT,
volume = "1",
number = "1",
pages = "57--60",
year = "1988",
CODEN = "AMLEEL",
ISSN = "0893-9659 (print), 1873-5452 (electronic)",
ISSN-L = "0893-9659",
MRclass = "11B39",
MRnumber = "89f:11031",
MRreviewer = "W. Herget",
bibdate = "Fri Mar 22 18:03:29 MST 2002",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics Letters",
journal-URL = "http://www.sciencedirect.com/science/journal/08939659",
}
@Article{MacLeod:1988:GRL,
author = "R. A. MacLeod",
title = "Generalization of a result of {E. Lucas}",
journal = j-CAN-MATH-BULL,
volume = "31",
number = "??",
pages = "95--98",
month = "????",
year = "1988",
CODEN = "CMBUA3",
DOI = "https://doi.org/10.4153/CMB-1988-014-5",
ISSN = "0008-4395 (print), 1496-4287 (electronic)",
ISSN-L = "0008-4395",
bibdate = "Thu Sep 8 10:05:43 MDT 2011",
bibsource = "http://cms.math.ca/cmb/v31/;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Canadian mathematical bulletin = Bulletin canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cmb/",
}
@Article{Rosen:1988:NPL,
author = "Michael I. Rosen",
title = "Notes: a Proof of the {Lucas--Lehmer} Test",
journal = j-AMER-MATH-MONTHLY,
volume = "95",
number = "9",
pages = "855--856",
month = nov,
year = "1988",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "11A51 (11Y11)",
MRnumber = "89i:11011",
MRreviewer = "John Michael Schram",
bibdate = "Mon Jun 28 12:39:13 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@InCollection{Shalhub:1988:CAA,
author = "S{\=a}m{\={\i}} Shalh{\=u}b",
booktitle = "Deuxi{\`e}me {Colloque} {Maghrebin} sur l'{Histoire}
des {Math}{\'e}matiques {Arabes} ({Tunis}, 1988)",
title = "The calculations and algebra of ab{\=u} {K}{\=a}mil
{Shuj}{\=a}\lasp\ ibn {Aslam} and his effects on the
work of al-{Karaj}{\=\i}\ and on the work of {Leonardo}
{Fibonacci}",
publisher = "Maghreb",
address = "Tunis",
pages = "A23--A39",
year = "1988",
MRclass = "01A30 (01A35)",
MRnumber = "1158680 (93k:01012)",
MRreviewer = "Jan P. Hogendijk",
bibdate = "Thu Jan 31 06:27:48 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
}
@Article{Shallit:1988:GAS,
author = "J. Shallit",
title = "A generalization of automatic sequences",
journal = j-THEOR-COMP-SCI,
volume = "61",
number = "1",
pages = "1--16",
month = oct,
year = "1988",
CODEN = "TCSCDI",
ISSN = "0304-3975 (print), 1879-2294 (electronic)",
ISSN-L = "0304-3975",
bibdate = "Sat Nov 22 13:29:49 MST 1997",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/tcs1985.bib",
acknowledgement = ack-nhfb,
classification = "C4220 (Automata theory)",
corpsource = "Dept. of Math. and Comput. Sci., Dartmouth Coll.,
Hanover, NH, USA",
fjournal = "Theoretical Computer Science",
journal-URL = "http://www.sciencedirect.com/science/journal/03043975/",
keywords = "algebraic equation; automatic sequences; finite
automata; finite automation; generalization; infinite
Fibonacci word; k-uniform homomorphisms; uniform tag
sequences",
pubcountry = "Netherlands",
treatment = "T Theoretical or Mathematical",
}
@Article{Tracy:1988:UCF,
author = "Craig A. Tracy",
title = "Universality class of a {Fibonacci} {Ising} model",
journal = j-J-STAT-PHYS,
volume = "51",
number = "3--4",
pages = "481--490",
month = may,
year = "1988",
CODEN = "JSTPSB",
DOI = "https://doi.org/10.1007/BF01028467",
ISSN = "0022-4715 (print), 1572-9613 (electronic)",
ISSN-L = "0022-4715",
bibdate = "Thu Aug 28 18:39:53 MDT 2014",
bibsource = "http://link.springer.com/journal/10955;
http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0022-4715&volume=51&issue=3;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jstatphys1980.bib",
URL = "http://link.springer.com/article/10.1007/BF01028467",
acknowledgement = ack-nhfb,
fjournal = "Journal of Statistical Physics",
journal-URL = "http://link.springer.com/journal/10955",
}
@Article{Weiss:1988:BOP,
author = "Eric A. Weiss",
title = "Biographies: Oh, Pioneers!",
journal = j-ANN-HIST-COMPUT,
volume = "10",
number = "4",
pages = "348--361",
month = oct # "\slash " # dec,
year = "1988",
CODEN = "AHCOE5",
ISSN = "0164-1239",
bibdate = "Fri Nov 1 15:29:13 MST 2002",
bibsource = "ftp://ftp.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Misc/annhistcomput.bib;
ftp://ftp.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Parallel/super.bib;
ftp://ftp.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Theory/cryptography.bib;
https://www.math.utah.edu/pub/bibnet/authors/a/turing-alan-mathison.bib;
https://www.math.utah.edu/pub/bibnet/authors/f/forsythe-george-elmer.bib;
https://www.math.utah.edu/pub/bibnet/authors/m/metropolis-nicholas.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/shannon-claude-elwood.bib;
https://www.math.utah.edu/pub/bibnet/authors/t/tukey-john-w.bib;
https://www.math.utah.edu/pub/bibnet/authors/t/turing-alan-mathison.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/von-neumann-john.bib;
https://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Misc/annhistcomput.bib;
https://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Parallel/super.bib;
https://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Theory/cryptography.bib;
https://www.math.utah.edu/pub/tex/bib/adabooks.bib;
https://www.math.utah.edu/pub/tex/bib/annhistcomput.bib;
https://www.math.utah.edu/pub/tex/bib/cryptography.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/super.bib",
URL = "http://dlib.computer.org/an/books/an1988/pdf/a4348.pdf;
http://www.computer.org/annals/an1988/a4348abs.htm",
acknowledgement = ack-nhfb,
annote = "This paper contains a brief summary of the
contributions of 261 individuals to the development of
computing.",
fjournal = "Annals of the History of Computing",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5488650",
keywords = "A. Porter; Aard van Wijngaarden; Adin D. Falkoff; Alan
J. Perlis; Alan Kay; Alan M. Turing; Allen Newell;
Allen W. M. Coombes; Alonzo Church; Alston Scott
Householder; Amedee Mannheim; Andrei P. Ershov; Andrew
Donald Booth; Andrew Fluegelman; Arnold A. Cohen;
Arthur C. Clarke; Arthur Lee Samuel; Arthur Walter
Burks; Arturo Rosenblueth; Augusta Ada King (nee
Gordon); B. M. Derfee; Blaise Pascal; Bob O. Evans;
Brian Havens; Brian Josephson; Brian Randell; Bruce G.
Oldfield; C. Gordon Bell; C. J. Date; C. Sheldon
Roberts; Carl Adam Petri; Carver Mead; Charles A.
Phillips; Charles Antony Richard Hoare; Charles
Babbage; Charles Bachman; Charles Xavier Thomas (Thomas
de Colmar); Christopher S. Strachey; Clair D. Lake;
Claude Elwood Shannon; Clifford E. Berry; Cuthbert C.
Hurd; D. W. Davies; Dana Scott; Daniel Delbert
McCracken; David J. Wheeler; David Packard; David
Sarnoff; Dennis M. Ritchie; Derrick Henry Lehmer;
Dionysius Lardner; Donald Ervin Knuth; Donald Lewis
Shell; Donald Michie; Donn B. Parker; Dorr E. Felt;
Douglas R. Hartree; E. H. Lennaerts; E. T. Irons; Earl
R. Larson; Edgar F. Codd; Edmund C. Berkeley; Edsger W.
Dijkstra; Edward E. Feigenbaum; Edward Joseph
McCluskey; Edward L. (Ted) Glaser; Emil L. Post; Ernest
R. Moore; Erwin Tomash; Eugene Kleiner; Fairchild Eight
(Julius Blank, Victor H. Grinich, Jean A. Hoerni,
Eugene Kleiner, Jay T. Last, Gordon E. Moore, Robert N.
Noyce, and C. Sheldon Roberts); Fernando J.
Corbat{\'o}; Fletcher Jones; Frances Elizabeth (Betty)
Snyder Holberton; Francis Joseph Murray; Frank E.
Hamilton; Frank Gray; Frank Rosenblatt; Frederic
Calland Williams; Frederick P. Brooks, Jr.; Friedrich
L. Bauer; G. B. Grant; G. Truman Hunter; Gene M.
Amdahl; Georg and Edvard Scheub; George Bernard
Dantzig; George Boole; George Elmer Forsythe; George H.
Philbrick; George Robert Stibitz; Gerald M. Weinberg;
Gerard Salton; Gordon E. Moore; Gottfried Wilhelm
Leibniz; Grace Murray Hopper; Harlan D. Mills; Harlan
L. Herrick; Harold Chestnut; Harry Douglas Huskey;
Harry H. Goode; Heinz Rutishauser; Helmut Schreyer;
Henry Briggs; Henry P. Babbage; Herbert A. Simon;
Herbert Leo Gelernter; Herbert R. J. Grosch; Herbert S.
Bright; Herman Heine Goldstine; Herman Hollerith;
Herman Lukoff; Howard Bromberg; Howard Hathaway Aiken;
I. J. Good; Irven Travis; Isaac L. Auerbach; Ivan
Edward Sutherland; J. Daniel Cougar; J. Presper Eckert,
Jr.; Jack St. Clair Kilby; Jack Tramiel; Jackson
Granholm [``kludge'']; James Hardy Wilkinson; James M.
Henry; James William Cooley; Jan Aleksander Rajchman;
Jay T. Last; Jay W. Forrester; Jean A. Hoerni; Jean E.
Sammet; Jeffrey Chuan Chu; Jerrier A. Haddad; Jim
Pommerene; John Bardeen; John Burns; John C. McPherson;
John Clifford Shaw; John Diebold; John George Kemeny;
John Grist Brainerd; John H. Curtiss; John McCarthy;
John Napier; John Powers; John R. Pierce; John Todd;
John Vincent Atanasoff; John von Neumann; John Warner
Backus; John Weber Carr, III; John Wilder Tukey; John
William Mauchly; Johnathan Swift; Jonathan Swift;
Joseph Carl Robnett Licklider; Joseph Chedaker; Joseph
Clement; Joseph Frederick Traub; Joseph Marie Jacquard;
Joseph Weizenbaum; Jules I. Schwartz; Julian Bigelow;
Julius Blank; Karl Karlstrom; Ken Thompson; Kenneth
Eugene Iverson; Kenneth H. Olsen; Konrad Zuse; L. F.
Meabrea; Lejaren A. Hiller; Leonardo of Pisa a.k.a.
Fibonacci; Leonardo Torres y Quevedo; Leslie John
Comrie; Lord Kelvin (William Thomson); Louis
Couffignal; Lynn Conway; L{\'e}on Boll{\'e}e; Marian
Rejewski; Marvin L. Minsky; Maurice Howard Halstead;
Maurice V. Wilkes; Max Palevsky; Maxwell H. A. Newman;
Michael O. Rabin; Michael Woodger; Mina Rees; Mitchell
D. Kapor; Mohammed ibn Musa Al-Khowarizmi; Morton
Michael Astrahan; Nathaniel Rochester; Nicholas
Constantine Metropolis; Niklaus Wirth; Noam Chomsky;
Nolan Bushnell; Norbert Wiener; Oliver G. Selfridge;
Orrin Edison Taulbee; Paul Allen; Percy Ludgate; Perry
O. Crawford; Peter Naur; Ralph E. Gomory; Richard
Clippinger; Richard Courant; Richard Ernest Bellman;
Richard J. Canning; Richard M. Bloch; Richard P.
Feynman; Richard Snyder; Richard V. D. Campbell;
Richard Wesley Hamming; Robert H. Dennard; Robert N.
Noyce; Robert R. Everett; Robert S. Barton; Robert
Sarnoff; Robert W. Bemer; Robert W. Floyd; Roy Nutt; S.
B. Williams; Samuel H. Caldwell; Samuel Morland; Samuel
N. Alexander; Saul Rosen; Seymour Papert; Seymour R.
Cray; Sidney Fernbach; Stanley Gill; Stephen A. Cook;
Stephen Frank Baldwin; Stephen Wozniak; Steven Jobs; T.
Vincent Learson; Thomas Eugene Kurtz; Thomas H.
Flowers; Thomas J. Watson, Jr.; Thomas J. Watson, Sr.;
Thomas Kite Sharpless; Tom Kilburn; Vannevar E Bush;
Victor H. Grinich; Vladimar Zworykin; W. J. Deerhake;
W. Renwick; W. T. Odhner; Wallace J, Eckert; Walter
Pitts; Warren Sturgis McCulloch; Warren Weaver; Wassily
Leontieff; Watson Davis; Werner Buchholz; Wilhelm
Schickard; Wilhelm Schikard; William C. Norris; William
F. McClelland; William Gates; William Hewlett; William
Leybourn; William Orchard-Hays; William Oughtred;
William P. Heising; William Seward Burroughs",
remark = "This paper contains a brief summary of the
contributions of 261 individuals to the development of
computing. Norbert Wiener appears incorrectly as
Norbert Weiner in this article.",
}
@Article{Capocelli:1989:CAR,
author = "Renato Capocelli",
title = "Comments and Additions to `Robust Transmission of
Unbounded Strings Using {Fibonacci} Representations'",
journal = j-IEEE-TRANS-INF-THEORY,
volume = "35",
number = "1",
pages = "191--193",
month = jan,
year = "1989",
CODEN = "IETTAW",
ISSN = "0018-9448 (print), 1557-9654 (electronic)",
ISSN-L = "0018-9448",
bibdate = "Sat Jan 26 12:46:16 MST 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/datacompression.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-ds,
fjournal = "IEEE Transactions on Information Theory",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=18",
rawdata = "Capocelli, Renato (1989) ``Comments and Additions to
`Robust Transmission of Unbounded Strings Using
Fibonacci Representations','' {\it IEEE Transactions on
Information Theory}, {\bf35}(1):191--193, January.",
}
@Article{Chung:1989:FCP,
author = "Kuo Liang Chung and Wen Chin Chen and Ferng-Ching
Lin",
title = "Fast computation of periodic continued fractions",
journal = j-INFO-PROC-LETT,
volume = "33",
number = "2",
pages = "67--72",
day = "10",
month = nov,
year = "1989",
CODEN = "IFPLAT",
ISSN = "0020-0190 (print), 1872-6119 (electronic)",
ISSN-L = "0020-0190",
MRclass = "11Y65 (11A55 65B99)",
MRnumber = "90m:11207",
MRreviewer = "Jeffrey O. Shallit",
bibdate = "Wed Nov 11 12:16:26 MST 1998",
bibsource = "Compendex database;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/infoproc1980.bib",
acknowledgement = ack-nhfb,
affiliation = "Natl Taiwan Univ",
affiliationaddress = "Taipei, Taiwan",
classification = "723; 921; C1160 (Combinatorial mathematics); C4240
(Programming and algorithm theory)",
corpsource = "Dept. of Comput. Sci. and Inf. Eng., Nat. Taiwan
Univ., Taipei, Taiwan",
fjournal = "Information Processing Letters",
journal-URL = "http://www.sciencedirect.com/science/journal/00200190",
journalabr = "Inf Process Lett",
keywords = "algorithms; approximation; computational complexity;
Computer Programming--Algorithms; design; Fibonacci
Numbers; Mathematical Techniques; number theory; Number
Theory; periodic continued fractions; Periodic
Continued Fractions; quadratic surd number;
second-order linear recurrence; self-substitution
concept; theory; verification",
subject = "I.1.2 Computing Methodologies, ALGEBRAIC MANIPULATION,
Algorithms, Analysis of algorithms \\ G.1.2 Mathematics
of Computing, NUMERICAL ANALYSIS, Approximation \\
G.1.0 Mathematics of Computing, NUMERICAL ANALYSIS,
General, Computer arithmetic",
treatment = "T Theoretical or Mathematical",
}
@Article{Cull:1989:CFN,
author = "Paul Cull and James L. Holloway",
title = "Computing {Fibonacci} numbers quickly",
journal = j-INFO-PROC-LETT,
volume = "32",
number = "3",
pages = "143--149",
day = "24",
month = aug,
year = "1989",
CODEN = "IFPLAT",
ISSN = "0020-0190 (print), 1872-6119 (electronic)",
ISSN-L = "0020-0190",
MRclass = "11Y55 (65B99 68Q25)",
MRnumber = "90k:11170",
bibdate = "Wed Nov 11 12:16:26 MST 1998",
bibsource = "Compendex database;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
affiliation = "Oregon State Univ",
affiliationaddress = "Corvallis, OR, USA",
classification = "723; 921; C1160 (Combinatorial mathematics); C4240
(Programming and algorithm theory)",
corpsource = "Dept. of Comput. Sci., Oregon State Univ., Corvallis,
OR, USA",
fjournal = "Information Processing Letters",
journal-URL = "http://www.sciencedirect.com/science/journal/00200190",
journalabr = "Inf Process Lett",
keywords = "Algorithms; algorithms; Analysis of Algorithms; bit
operations; computational complexity; Computers,
Digital--Computational Methods; Fibonacci Numbers;
Fibonacci numbers; Fibonacci sequence; Lucas numbers;
Mathematical Techniques; number theory; product;
running time",
treatment = "T Theoretical or Mathematical",
}
@Article{El-Basil:1989:FNT,
author = "Sherif El-Basil and Douglas J. Klein",
title = "{Fibonacci} numbers in the topological theory of
benzenoid hydrocarbons and related graphs",
journal = j-J-MATH-CHEM,
volume = "3",
number = "1",
pages = "1--23",
month = jan,
year = "1989",
CODEN = "JMCHEG",
DOI = "https://doi.org/10.1007/BF01171882",
ISSN = "0259-9791 (print), 1572-8897 (electronic)",
ISSN-L = "0259-9791",
bibdate = "Thu Apr 9 18:13:37 MDT 2015",
bibsource = "http://link.springer.com/journal/10910/3/1;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jmathchem.bib",
URL = "http://link.springer.com/article/10.1007/BF01171882",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Chemistry",
journal-URL = "http://link.springer.com/journal/10910",
journalabr = "J. Math. Chem.",
}
@Article{Everett:1989:ADH,
author = "H. Everett and A. Gupta",
title = "Acyclic directed hypercubes may have exponential
diameter",
journal = j-INFO-PROC-LETT,
volume = "32",
number = "5",
pages = "243--245",
day = "22",
month = sep,
year = "1989",
CODEN = "IFPLAT",
ISSN = "0020-0190 (print), 1872-6119 (electronic)",
ISSN-L = "0020-0190",
MRclass = "05C20 (90B10)",
MRnumber = "90h:05059",
MRreviewer = "C. Peyrat",
bibdate = "Wed Nov 11 12:16:26 MST 1998",
bibsource = "Compendex database;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/infoproc1980.bib",
acknowledgement = ack-nhfb,
affiliation = "Univ of Toronto",
affiliationaddress = "Toronto, Ont, Can",
classification = "721; 731; 921; C1160 (Combinatorial mathematics);
C4230 (Switching theory); C5220 (Computer
architecture)",
corpsource = "Dept. of Comput. Sci., Toronto Univ., Ont., Canada",
fjournal = "Information Processing Letters",
journal-URL = "http://www.sciencedirect.com/science/journal/00200190",
journalabr = "Inf Process Lett",
keywords = "acyclic hypercubes; Ai; Automata Theory--Computability
and Decidability; diameter; directed graph; directed
graphs; directed hypercubes; exponential diameter;
Fibonacci number; Fibonacci Numbers; Graph Theory;
Hopfield nets; Hybercubes; Mathematical Techniques;
neural nets; parallel architectures; shortest paths;
Systems Science and Cybernetics--Neural Nets; theory;
verification",
subject = "G.2.2 Mathematics of Computing, DISCRETE MATHEMATICS,
Graph Theory",
treatment = "T Theoretical or Mathematical",
}
@Article{Gray:1989:BRB,
author = "C. T. Gray",
title = "Book Review: {{\booktitle{Applications of Fibonacci
Numbers}}, by A. N. Philippou; A. F. Horadam; G. E.
Bergum}",
journal = j-J-R-STAT-SOC-SER-D-STATISTICIAN,
volume = "38",
number = "4",
pages = "308--308",
month = "????",
year = "1989",
CODEN = "????",
DOI = "https://doi.org/10.2307/2349066",
ISSN = "0039-0526 (print), 1467-9884 (electronic)",
ISSN-L = "0039-0526",
bibdate = "Thu Jan 22 18:10:23 MST 2015",
bibsource = "http://www.jstor.org/stable/i316125;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jrss-d-1980.bib",
URL = "http://www.jstor.org/stable/2349066",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Royal Statistical Society. Series D
(The Statistician)",
journal-URL = "http://www.jstor.org/journals/00390526.html",
}
@Article{Kapoor:1989:OLB,
author = "Sanjiv Kapoor and Edward M. Reingold",
title = "Optimum Lopsided Binary Trees",
journal = j-J-ACM,
volume = "36",
number = "3",
pages = "573--590",
month = jul,
year = "1989",
CODEN = "JACOAH",
DOI = "https://doi.org/10.1145/65950.65955",
ISSN = "0004-5411 (print), 1557-735X (electronic)",
ISSN-L = "0004-5411",
bibdate = "Wed Jan 15 18:12:53 MST 1997",
bibsource = "Compendex database;
ftp://ftp.ira.uka.de/pub/bibliography/Database/journals.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jacm.bib",
URL = "http://www.acm.org/pubs/toc/Abstracts/0004-5411/65955.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
abstract = "Binary search trees with costs $ \alpha $ and $ \beta
$, respectively, on the left and right edges (lopsided
search trees) are considered. The exact shape, minimum
worst-case cost, and minimum average cost of lopsided
trees of $n$ internal nodes are determined for
nonnegative $ \alpha $ and $ \beta $; the costs are
both roughly $ \log_\rho (n + 1) $ where $ \rho $ is
the unique real number in the interval $ (1, 2] $
satisfying $ 1 / \rho^\alpha / + 1 / \rho^\beta = 1 $.
Search procedures are given that come within a small
additive constant of the lower bounds. Almost-optimum
algorithms for the lopsided case of unbounded searching
are also obtained. Some extensions to nonconstant costs
are briefly sketched.",
acknowledgement = ack-nhfb,
affiliationaddress = "Urbana, IL, USA",
classification = "723; 921",
fjournal = "Journal of the Association for Computing Machinery",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401",
journalabr = "J Assoc Comput Mach",
keywords = "algorithmic analysis; algorithms; binary search;
Binary Search Trees; binary search trees; binary trees;
coding theory; Data Processing; data structure; Data
Structures; Data Structures and Algorithms; Discrete
Mathematics; edge-weighted trees; Fibonacci numbers;
Fibonacci trees; information theory; Kraft's
inequality; Lopsided Binary Trees; Mathematical
Techniques --- Trees; minimax recurrence relations;
optimal trees; path lengths; prefix-free codes; theory;
unbounded search; verification",
subject = "{\bf F.2.2}: Theory of Computation, ANALYSIS OF
ALGORITHMS AND PROBLEM COMPLEXITY, Nonnumerical
Algorithms and Problems, Sorting and searching. {\bf
G.2.2}: Mathematics of Computing, DISCRETE MATHEMATICS,
Graph Theory, Trees.",
}
@Article{Mennicke:1989:FGS,
author = "Jens L. Mennicke",
title = "On {Fibonacci} groups and some other groups",
journal = j-LECT-NOTES-MATH,
volume = "1398",
pages = "117--123",
year = "1989",
CODEN = "LNMAA2",
DOI = "https://doi.org/10.1007/BFb0086248",
ISBN = "3-540-51695-6 (print), 3-540-46756-4 (e-book)",
ISBN-13 = "978-3-540-51695-8 (print), 978-3-540-46756-4
(e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
MRclass = "20F05 (19A15 20H15 57S30)",
MRnumber = "1032819",
MRreviewer = "N. D. Gupta",
bibdate = "Thu May 15 18:46:23 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/lnm1985.bib",
URL = "http://link.springer.com/chapter/10.1007/BFb0086248/",
acknowledgement = ack-nhfb,
book-DOI = "https://doi.org/10.1007/BFb0086234",
book-URL = "http://www.springerlink.com/content/978-3-540-46756-4",
fjournal = "Lecture Notes in Mathematics",
journal-URL = "http://link.springer.com/bookseries/304",
}
@Article{Protasi:1989:NAO,
author = "Marco Protasi and Maurizio Talamo",
title = "On the number of arithmetical operations for finding
{Fibonacci} numbers",
journal = j-THEOR-COMP-SCI,
volume = "64",
number = "1",
pages = "119--124",
month = apr,
year = "1989",
CODEN = "TCSCDI",
ISSN = "0304-3975 (print), 1879-2294 (electronic)",
ISSN-L = "0304-3975",
bibdate = "Sat Nov 22 13:29:49 MST 1997",
bibsource = "Compendex database;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
affiliation = "Univ di Roma Tor Vergata",
affiliationaddress = "Rome, Italy",
classification = "723; B0250 (Combinatorial mathematics); C1160
(Combinatorial mathematics)",
corpsource = "Dipartimento di Matematica, Roma Univ., Italy",
fjournal = "Theoretical Computer Science",
journal-URL = "http://www.sciencedirect.com/science/journal/03043975/",
journalabr = "Theor Comput Sci",
keywords = "Algorithms; algorithms; arithmetical operations;
Arithmetical Operations; average case; Computational
Complexity; Computer Metatheory; Computer Programming;
Fibonacci Numbers; finding Fibonacci numbers; number
theory; worst case",
pubcountry = "Netherlands",
treatment = "T Theoretical or Mathematical",
}
@InProceedings{Ravenscroft:1989:SSG,
author = "R. A. {Ravenscroft, Jr.} and E. A. Lamagna",
title = "Symbolic summation with generating functions",
crossref = "Gonnet:1989:PAI",
pages = "228--233",
year = "1989",
bibdate = "Thu Sep 26 06:21:35 MDT 1996",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/issac.bib",
abstract = "The generating function technique presented is an
important addition to the area of summation algorithms.
With it, many summations that cannot be evaluated by
existing algorithms can be solved. Among these are
hybrid sums and sums involving special classes of
functions including binomial coefficients, Fibonacci
numbers, and harmonic numbers. However, the method is
not viable for hand calculation since the algebraic
manipulation gets very complex. Fortunately, the steps
used in the procedure are consistent regardless of the
particular generating functions that are involved.",
acknowledgement = ack-nhfb,
affiliation = "Dept. of Comput. Sci., Brown Univ., Providence, RI,
USA",
classification = "C1110 (Algebra); C4240 (Programming and algorithm
theory); C7310 (Mathematics)",
keywords = "Generating functions; Hybrid sums; Summation
algorithms; Symbolic summation",
thesaurus = "Computation theory; Functions; Series [mathematics];
Symbol manipulation",
}
@Article{Suto:1989:SCS,
author = "Andr{\'a}s S{\"u}t{\"o}",
title = "Singular continuous spectrum on a {Cantor} set of zero
{Lebesgue} measure for the {Fibonacci} {Hamiltonian}",
journal = j-J-STAT-PHYS,
volume = "56",
number = "3--4",
pages = "525--531",
month = aug,
year = "1989",
CODEN = "JSTPSB",
DOI = "https://doi.org/10.1007/BF01044450",
ISSN = "0022-4715 (print), 1572-9613 (electronic)",
ISSN-L = "0022-4715",
bibdate = "Thu Aug 28 18:41:37 MDT 2014",
bibsource = "http://link.springer.com/journal/10955;
http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0022-4715&volume=56&issue=3;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jstatphys1980.bib",
URL = "http://link.springer.com/article/10.1007/BF01044450",
acknowledgement = ack-nhfb,
fjournal = "Journal of Statistical Physics",
journal-URL = "http://link.springer.com/journal/10955",
}
@Article{Vardavas:1989:FST,
author = "Ilias Mihail Vardavas",
title = "A {Fibonacci} search technique for model parameter
selection",
journal = j-ECOL-MODELL,
volume = "48",
number = "1--2",
pages = "65--81",
month = oct,
year = "1989",
CODEN = "ECMODT",
DOI = "https://doi.org/10.1016/0304-3800(89)90060-4",
ISSN = "0304-3800 (print), 1872-7026 (electronic)",
ISSN-L = "0304-3800",
bibdate = "Fri Nov 12 08:28:09 MST 2021",
bibsource = "https://www.math.utah.edu/pub/tex/bib/ecolmodell1980.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0304380089900604",
acknowledgement = ack-nhfb,
ajournal = "Ecol. Modell.",
fjournal = "Ecological Modelling: International Journal on
Ecological Modelling and Systems Ecology",
journal-URL = "https://www.sciencedirect.com/journal/ecological-modelling",
}
@Article{Anderson:1990:RNG,
author = "Stuart L. Anderson",
title = "Random Number Generators on Vector Supercomputers and
Other Advanced Architectures",
journal = j-SIAM-REVIEW,
volume = "32",
number = "2",
pages = "221--251",
month = jun,
year = "1990",
CODEN = "SIREAD",
DOI = "https://doi.org/10.1137/1032044",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
MRclass = "65C10 (65Y05)",
MRnumber = "91g:65015",
bibdate = "Fri Jun 21 11:25:02 MDT 2013",
bibsource = "Compendex database;
https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
https://www.math.utah.edu/pub/tex/bib/siamreview.bib;
https://www.math.utah.edu/pub/tex/bib/super.bib",
URL = "http://www.jstor.org/stable/2030521",
abstract = "This paper is divided into three parts. The first part
surveys the more common techniques for generating and
testing uniformly distributed random numbers. The
second part considers the efficient generation of
random numbers on vector computers. The third part
discusses the generation and use of random numbers in
multitasking environments (which may include multiple
processor computers).",
acknowledgement = ack-nhfb,
affiliation = "Boeing Computer Services",
affiliationaddress = "Seattle, WA, USA",
classification = "723; 921; 922",
fjournal = "SIAM Review",
journal-URL = "http://epubs.siam.org/sirev",
journalabr = "SIAM Rev",
keywords = "Computer Programs; Computers, Supercomputer; Lagged
Fibonacci Generators; Mathematical Statistics;
Mathematical Techniques--Vectors; Multitasking;
Pseudorandom Trees; Random Number Generation; Random
Number Tests; Spectral Test; Vector Supercomputers",
onlinedate = "Jun-1990",
}
@Article{Bartolozzi:1990:TPA,
author = "Margherita Bartolozzi and Raffaella Franci",
title = "The theory of proportions in abacus mathematics from
{Leonardo Pisano} to {Luca Pacioli}",
journal = j-BOLL-STOR-SCI-MAT,
volume = "10",
number = "1",
pages = "3--28",
year = "1990",
ISSN = "0392-4432 (print), 1724-1650 (electronic)",
ISSN-L = "0392-4432",
MRclass = "01A35",
MRnumber = "1096349 (92b:01018)",
MRreviewer = "Doru {\c{S}}tef{\u{a}}nescu",
bibdate = "Thu Jan 31 07:24:51 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Bollettino di Storia delle Scienze Matematiche",
}
@Article{Bollinger:1990:LTS,
author = "Richard C. Bollinger and Charles L. Burchard",
title = "{Lucas}'s Theorem and Some Related Results for
Extended {Pascal} Triangles",
journal = j-AMER-MATH-MONTHLY,
volume = "97",
number = "3",
pages = "198--204",
month = mar,
year = "1990",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "05A10 (11B65)",
MRnumber = "91d:05003",
MRreviewer = "C. R. Pranesachar",
bibdate = "Mon Jun 28 12:35:55 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Unpublished{Dijkstra:1990:FGC,
author = "Edsger W. Dijkstra",
title = "{Fibonacci} and the greatest common divisor",
pages = "5 (handwritten)",
month = apr,
year = "1990",
bibdate = "Thu Mar 12 17:00:41 2015",
bibsource = "http://www.cs.utexas.edu/users/EWD/indexBibTeX.html;
https://www.math.utah.edu/pub/bibnet/authors/d/dijkstra-edsger-w.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "Circulated privately.",
URL = "http://www.cs.utexas.edu/users/EWD/ewd10xx/EWD1077.PDF",
acknowledgement = ack-nhfb,
filesize = "102 KB",
oldlabel = "EWD:EWD1077",
remark = "This handwritten note describes the proof that the
greatest common divisor distributes over the Fibonacci
numbers, $ F(x \gcd Y) = F(x) \gcd F(y) $, starting
with Euclid's algorithm for finding the greatest common
divisor.",
}
@Article{Eddy:1990:RNG,
author = "William F. Eddy",
title = "Random number generators for parallel processors",
journal = j-J-COMPUT-APPL-MATH,
volume = "31",
number = "1",
pages = "63--71",
day = "24",
month = jul,
year = "1990",
CODEN = "JCAMDI",
DOI = "https://doi.org/10.1016/0377-0427(90)90336-X",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
bibdate = "Tue Dec 27 06:58:02 MST 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "See \cite{MacLaren:1965:URN,Collings:1987:CRN} for
combined generators",
URL = "http://www.sciencedirect.com/science/article/pii/037704279090336X",
abstract = "The fundamental requirements for the sequence of
numbers produced by a random number generator in a
computer program are that (1) the sequence be
indistinguishable from that produced by an iid sequence
of standard uniformly distributed random variables; (2)
the sequence be identically reproduced on a subsequent
execution of the same computer program. For computers
with multiple processors it is sensible to add the
additional requirement that (3) the sequences used by
each of the several processors be indistinguishable
from independent sequences. If one uses a standard
random number generator developed for a uniprocessor in
an environment with multiple processors, then each one
of these requirements may be violated. This paper
contains a review of previous attempts to satisfy the
three requirements for a multiprocessor and concludes
that none are really successful.",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
keywords = "combination generators; compound generator;
congruential generator; lagged-Fibonacci generator;
leap-frog method; Lehmer trees; shift-register
generator",
remark-1 = "Special issue on random numbers and simulation, guest
editors: J. Lehn and H. Neunzert.",
remark-2 = "From the abstract: ``This paper contains a review of
previous attempts to satisfy the three requirements for
a multiprocessor and concludes that none are really
successful.''",
remark-3 = "This paper has a good discussion of the issues in
generating independent, nonoverlapping, and
reproducible, random number streams in parallel
computations.",
}
@Article{Jamieson:1990:NFN,
author = "M. J. Jamieson",
title = "Notes: {Fibonacci} Numbers and {Aitken} Sequences
Revisited",
journal = j-AMER-MATH-MONTHLY,
volume = "97",
number = "9",
pages = "829--831",
month = nov,
year = "1990",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "11B39",
MRnumber = "92f:11026",
MRreviewer = "Shreedhara Prasada Mohanty",
bibdate = "Mon Jun 28 12:36:09 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Knuth:1990:FLS,
author = "Donald E. Knuth",
title = "A {Fibonacci}-like sequence of composite numbers",
journal = j-MATH-MAG,
volume = "63",
number = "1",
pages = "21--25",
month = feb,
year = "1990",
CODEN = "MAMGA8",
DOI = "https://doi.org/10.2307/2691504",
ISSN = "0025-570X",
MRclass = "11B39 (11A51 11B37)",
MRnumber = "91e:11020",
MRreviewer = "H. L. Abbott",
bibdate = "Fri Mar 22 18:03:29 MST 2002",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Mathematics Magazine",
journal-URL = "http://www.maa.org/pubs/mathmag.html",
}
@Article{Marsaglia:1990:RNG,
author = "George Marsaglia and B. Narasimhan and Arif Zaman",
title = "A random number generator for {PC}'s",
journal = j-COMP-PHYS-COMM,
volume = "60",
number = "3",
pages = "345--349",
month = oct,
year = "1990",
CODEN = "CPHCBZ",
DOI = "https://doi.org/10.1016/0010-4655(90)90033-W",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
MRclass = "65C10",
MRnumber = "1 076 268",
bibdate = "Mon Feb 13 21:29:14 MST 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/marsaglia-george.bib;
https://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
MathSciNet database",
URL = "http://www.sciencedirect.com/science/article/pii/001046559090033W",
ZMnumber = "0997.65510",
abstract = "It is now possible to do serious scientific work on
personal computers (PC's). Many simulation studies,
whether exploratory or for production runs, call for
random numbers. We offer here a new kind of random
number generator with implementation tailored
specifically for PC's using Intel 8088/8086 or
80286/80386 processors. A floating-point coprocessor is
not required or even useful for the generator,
although, of course, a coprocessor may help other parts
of a simulation. The generator has an extremely long
period --- some $ 2^{1407} $ --- requires only 43
stored values and uses only one arithmetic operation:
subtraction. It is one of a new class of generators
that we have recently developed. They are called
add-with-carry and subtract-with-borrow generators.
Related to lagged-Fibonacci generators, the new class
has an interesting underlying theory, astonishingly
long periods and provable uniformity for full
sequences. This article describes a machine language
subroutine that provides 32-bit random integers as well
as uniform (single precision) reals with standard
24-bit fractions.",
acknowledgement = ack-nhfb,
fjournal = "Computer Physics Communications. An International
Journal and Program Library for Computational Physics
and Physical Chemistry",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
ZMclass = "*65C10 Random number generation",
}
@Article{Marsaglia:1990:TUR,
author = "George Marsaglia and Arif Zaman and Wai Wan Tsang",
title = "Toward a universal random number generator",
journal = j-STAT-PROB-LETT,
volume = "9",
number = "1",
pages = "35--39",
month = jan,
year = "1990",
CODEN = "SPLTDC",
DOI = "https://doi.org/10.1016/0167-7152(90)90092-L",
ISSN = "0167-7152 (print), 1879-2103 (electronic)",
ISSN-L = "0167-7152",
MRclass = "65C10",
MRnumber = "91a:65008",
bibdate = "Thu Dec 22 07:42:24 2011",
bibsource = "ftp://ftp.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Distributed/QLD/1990.bib;
https://www.math.utah.edu/pub/bibnet/authors/m/marsaglia-george.bib;
https://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Distributed/QLD/1990.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/fortran3.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
MathSciNet database",
ZMnumber = "0692.65001",
abstract-1 = "This paper presents a ``universal'' random number
generator that is able to produce the same sequence of
random variables in a wide variety of computers and
that passes some tests of randomness and independence.
The generator combines two different generators: a
lagged-Fibonacci generator $F(97,33.\cdot)$ and a
simple arithmetic sequence for the prime modulus
$2^{24}-3$. Results of a randomness test are presented
and a Fortran implementation of the generator is
suggested.",
abstract-2 = "This article describes an approach towards a random
number generator that passes all of the stringent tests
for randomness we have put to it, and that is able to
produce exactly the same sequence of uniform random
variables in a wide variety of computers, including
TRS80, Apple, Mackintosh, Commodore, Kaypro, IBM PC,
AT, PC and AT clones, Sun, Vax, IBM 360/370, 3090,
Amdahl, CDC Cyber and even 205 ETA supercomputers.",
acknowledgement = ack-nhfb,
fjournal = "Statistics \& Probability Letters",
journal-URL = "http://www.sciencedirect.com/science/journal/01677152",
keywords = "arithmetic sequence; Fortran implementation;
independence test; lagged-Fibonacci generator;
randomness test; universal random number generator",
ZMclass = "*65C10 Random number generation",
ZMreviewer = "K. Uosaki",
}
@Article{Matsui:1990:OOI,
author = "T. Matsui",
title = "Object-oriented implementation of {EusLisp}",
journal = "Denshi Gijutsu Sogo Kenkyusho Iho\slash Bulletin of
the Electrotechnical Laboratory",
volume = "54",
number = "8",
pages = "18--40",
year = "1990",
CODEN = "DGSKAR",
ISSN = "0366-9092",
bibdate = "Fri May 07 12:01:57 1999",
bibsource = "Compendex database;
https://www.math.utah.edu/pub/tex/bib/common-lisp.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
classification = "723",
journalabr = "Denshi Gijutsu Sogo Kenkyusho Iho",
keywords = "Common Lisp; Computer Aided Design; Computer Graphics;
Computer Programming Languages; Computer
Programming--Object Oriented Programming; EusLisp
Language; Fibonacci Buddy Scheme; Lisp; Message
Forwarding; Object-Oriented Languages; Solid Modeling",
language = "Japanese",
unknownkeylf = "In Japanese",
}
@Article{Qiu:1990:NDA,
author = "Ke Qiu and Henk Meijer",
title = "A note on diameter of acyclic directed hypercubes",
journal = j-INFO-PROC-LETT,
volume = "36",
number = "1",
pages = "51--52",
day = "1",
month = oct,
year = "1990",
CODEN = "IFPLAT",
ISSN = "0020-0190 (print), 1872-6119 (electronic)",
ISSN-L = "0020-0190",
bibdate = "Wed Nov 11 12:16:26 MST 1998",
bibsource = "Compendex database;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/infoproc1990.bib",
acknowledgement = ack-nhfb,
affiliation = "Queen's Univ",
affiliationaddress = "Kingston, Ont, Can",
classification = "921; B0250 (Combinatorial mathematics); C1160
(Combinatorial mathematics)",
corpsource = "Dept. of Comput. and Inf. Sci., Queen's Univ.,
Kingston, Ont., Canada",
fjournal = "Information Processing Letters",
journal-URL = "http://www.sciencedirect.com/science/journal/00200190",
journalabr = "Inf Process Lett",
keywords = "acyclic directed hypercubes; Acyclic Graphs;
acyclically oriented; chordless path; diameter;
Directed Graphs; directed graphs; Fibonacci number;
Graph Theory; Hypercubes; Mathematical Techniques;
undirected graph",
treatment = "T Theoretical or Mathematical",
}
@Article{Sarkar:1990:IRF,
author = "Vivek Sarkar",
title = "Instruction reordering for fork-join parallelism",
journal = j-SIGPLAN,
volume = "25",
number = "6",
pages = "322--336",
month = jun,
year = "1990",
CODEN = "SINODQ",
ISBN = "0-89791-364-7",
ISBN-13 = "978-0-89791-364-5",
ISSN = "0362-1340 (print), 1523-2867 (print), 1558-1160
(electronic)",
ISSN-L = "0362-1340",
bibdate = "Sun Dec 14 09:15:53 MST 2003",
bibsource = "Compendex database; http://portal.acm.org/;
http://www.acm.org/pubs/contents/proceedings/pldi/93542/index.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/sigplan1990.bib",
URL = "http://www.acm.org:80/pubs/citations/proceedings/pldi/93542/p322-sarkar/",
abstract = "In this paper, we have studied the problem of
generating fork-join code with the maximum amount of
parallelism, for a given DAG. The results of our work
have been applied to Sisal programs, so as to expose
more parallelism for the fork-join microtasking model
supported by OSC. The reordering optimization was found
to be crucial for programs which rely solely on
non-loop parallelism (e.g. Fibonacci). This paper did
not address the issue of trading off overhead and
parallelism and thus determining what parallelism is
useful for the target multiprocessor. In previous work,
we addressed the problem of automatically partitioning
Sisal programs for a general macro-dataflow execution
model.",
acknowledgement = ack-nhfb,
affiliation = "IBM Thomas J. Watson Research Cent",
affiliationaddress = "Yorktown Heights, NY, USA",
annote = "Published as part of the Proceedings of PLDI'90.",
classification = "722; 723",
conference = "Proceedings of the ACM SIGPLAN '90 Conference on
Programming Language Design and Implementation",
conferenceyear = "1990",
fjournal = "ACM SIGPLAN Notices",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J706",
journalabr = "SIGPLAN Not",
keywords = "algorithms; Computer Operating Systems; Computer
Systems Programming --- Multiprogramming; Computer
Systems, Digital --- Parallel Processing;
experimentation; Fork-Join Parallelism; languages;
Program Compilers; verification",
meetingaddress = "White Plains, NY, USA",
meetingdate = "Jun 20--22 1990",
meetingdate2 = "06/20--22/90",
sponsor = "Assoc for Computing Machinery, Special Interest Group
on Programming Languages",
subject = "{\bf F.1.2} Theory of Computation, COMPUTATION BY
ABSTRACT DEVICES, Modes of Computation, Parallelism and
concurrency. {\bf D.3.3} Software, PROGRAMMING
LANGUAGES, Language Constructs and Features, Concurrent
programming structures. {\bf F.2.2} Theory of
Computation, ANALYSIS OF ALGORITHMS AND PROBLEM
COMPLEXITY, Nonnumerical Algorithms and Problems,
Computations on discrete structures. {\bf D.3.3}
Software, PROGRAMMING LANGUAGES, Language Constructs
and Features, Control structures. {\bf G.1.2}
Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation. {\bf D.3.2} Software, PROGRAMMING
LANGUAGES, Language Classifications, SISAL.",
}
@InCollection{Shalhub:1990:CAA,
author = "S. Shalhub",
editor = "????",
booktitle = "Deuxi{\`e}me Colloque {Maghrebin} sur {l'Histoire} des
Math{\'e}matiques {Arabes} ({Tunis}, 1990)",
title = "The calculations and algebra of {abu Kamil Shuja-ibn
Aslam} and his effects on the work of {al-Karaji} and
on the work of {Leonardo Fibonacci}. ({Arabic})",
publisher = "????",
address = "????",
pages = "A23--A39",
year = "1990",
ISBN = "????",
ISBN-13 = "????",
LCCN = "????",
bibdate = "Thu Jan 31 06:16:48 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
language = "Arabic",
}
@Article{Duvanenko:1991:ERM,
author = "Victor J. Duvanenko",
title = "Efficiently raising matrices to an integer power",
journal = j-DDJ,
volume = "16",
number = "6",
pages = "86--87, 157",
month = jun,
year = "1991",
CODEN = "DDJOEB",
ISSN = "1044-789X",
bibdate = "Tue Sep 10 09:11:02 MDT 1996",
bibsource = "http://www.ddj.com/index/author/index.htm;
https://www.math.utah.edu/pub/tex/bib/dr-dobbs-1990.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
UnCover database",
abstract = "Avoid redundancy -- and improve performance -- when
raising polynomials to integer powers.",
acknowledgement = ack-nhfb,
classification = "C7310 (Mathematics)",
fjournal = "Dr. Dobb's Journal of Software Tools",
keywords = "Fibonacci numbers; Integer power; Matrix; Matrix
multiplication; Polynomial",
thesaurus = "Mathematics computing; Matrix algebra",
}
@Article{Goodall:1991:EAC,
author = "Colin Goodall",
title = "Eigenshape Analysis of a Cut-Grow Mapping for
Triangles, and its Application to Phyllotaxis in
Plants",
journal = j-SIAM-J-APPL-MATH,
volume = "51",
number = "3",
pages = "775--798",
month = jun,
year = "1991",
CODEN = "SMJMAP",
ISSN = "0036-1399 (print), 1095-712X (electronic)",
ISSN-L = "0036-1399",
MRclass = "92B05 (15A18 92C15)",
MRnumber = "92f:92001",
MRreviewer = "James N. Ridley",
bibdate = "Thu Oct 15 18:16:06 MDT 1998",
bibsource = "Compendex database;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/siamjapplmath.bib;
JSTOR database",
acknowledgement = ack-nhfb,
affiliation = "Princeton Univ",
affiliationaddress = "Princeton, NJ, USA",
classification = "921",
fjournal = "SIAM Journal on Applied Mathematics",
journal-URL = "http://epubs.siam.org/siap",
journalabr = "SIAM J Appl Math",
keywords = "Cut-and-Grow Algorithm; Eigenshape Analysis;
Eigenvectors; Fibonacci Series; Geometry; Inversion;
Mathematical Techniques; Mathematical
Techniques--Conformal Mapping; Phyllotaxis",
}
@Article{Gordon:1991:DLE,
author = "Daniel M. Gordon and Carl Pomerance",
title = "The distribution of {Lucas} and elliptic
pseudoprimes",
journal = j-MATH-COMPUT,
volume = "57",
number = "196",
pages = "825--838",
month = oct,
year = "1991",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "11N80 (11B39 11G05 11Y11)",
MRnumber = "92h:11081",
MRreviewer = "M. Ram Murty",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0250 (Combinatorial mathematics); C1160
(Combinatorial mathematics)",
corpsource = "Georgia Univ., Athens, GA, USA",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "counting function; elliptic pseudoprimes; Lucas
pseudoprimes; number theory",
treatment = "T Theoretical or Mathematical",
}
@Article{Iochum:1991:PLG,
author = "B. Iochum and D. Testard",
title = "Power law growth for the resistance in the {Fibonacci}
model",
journal = j-J-STAT-PHYS,
volume = "65",
number = "3--4",
pages = "715--723",
month = nov,
year = "1991",
CODEN = "JSTPSB",
DOI = "https://doi.org/10.1007/BF01053750",
ISSN = "0022-4715 (print), 1572-9613 (electronic)",
ISSN-L = "0022-4715",
bibdate = "Thu Aug 28 18:44:30 MDT 2014",
bibsource = "http://link.springer.com/journal/10955;
http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0022-4715&volume=65&issue=3;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jstatphys1990.bib",
URL = "http://link.springer.com/article/10.1007/BF01053750",
acknowledgement = ack-nhfb,
fjournal = "Journal of Statistical Physics",
journal-URL = "http://link.springer.com/journal/10955",
}
@InCollection{Luneburg:1991:FAKa,
author = "H. L{\"u}neburg",
editor = "????",
booktitle = "S{\'e}minaire Lotharingien de Combinatoire
(Strasbourg, 1991)",
title = "{Fibonaccis aufsteigende Kettenbr{\"u}che, ein
elegantes Werkzeug mittelalterlicher Rechenkunst}.
({German}) [{Fibonacci}'s ascending continued
fractions, an elegant tool of medieval arithmetic]",
publisher = "????",
address = "????",
pages = "135--149",
year = "1991",
ISBN = "????",
ISBN-13 = "????",
LCCN = "????",
bibdate = "Thu Jan 31 06:09:43 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Luneburg:1991:FAKb,
author = "H. L{\"u}neburg",
title = "{Fibonaccis aufsteigende Kettenbr{\"u}che, ein
elegantes Werkzeug mittelalterlicher Rechenkunst}.
({German}) [{Fibonacci}'s ascending continued
fractions, an elegant tool of medieval arithmetic]",
journal = "Sudhoffs Arch.",
volume = "75",
number = "2",
pages = "129--139",
month = "????",
year = "1991",
bibdate = "Thu Jan 31 06:11:54 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Maeder:1991:MPFa,
author = "Roman E. Maeder",
title = "The {Mathematica} Programmer: {Fibonacci} on the Fast
Track",
journal = j-MATHEMATICA-J,
volume = "1",
number = "3",
pages = "??--??",
month = "Winter",
year = "1992",
CODEN = "????",
ISSN = "1047-5974 (print), 1097-1610 (electronic)",
ISSN-L = "1047-5974",
bibdate = "Sat Nov 6 13:33:32 MDT 2010",
bibsource = "http://www.mathematica-journal.com/issue/v1i3/;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/mathematicaj.bib",
URL = "http://www.mathematica-journal.com/issue/v1i3/tutorials/maeder/index.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematica Journal",
journal-URL = "http://www.mathematica-journal.com/",
}
@Article{Marsaglia:1991:NCR,
author = "George Marsaglia and Arif Zaman",
title = "A new class of random number generators",
journal = j-ANN-APPL-PROBAB,
volume = "1",
number = "3",
pages = "462--480",
month = aug,
year = "1991",
CODEN = "????",
DOI = "https://doi.org/10.1214/aoap/1177005878",
ISSN = "1050-5164",
MRclass = "65C10",
MRnumber = "92h:65009",
MRreviewer = "Renata Rotondi",
bibdate = "Mon Aug 02 11:01:47 2004",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/marsaglia-george.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
https://www.math.utah.edu/pub/tex/bib/tomacs.bib;
MathSciNet database",
note = "See popular description in \cite{Peterson:1991:NRN}.
See remarks in
\cite{Eichenauer-Herrmann:1995:PNG,Tezuka:1993:LSA}
about the extremely bad lattice structure in high
dimensions of the generators proposed in this paper.",
URL = "http://projecteuclid.org/euclid.aoap/1177005878",
ZMnumber = "0733.65005",
abstract = "We introduce a new class of generators of two types:
add-with-carry and subtract-with-borrow. Related to
lagged-Fibonacci generators, the new class has
interesting underlying theory, astonishingly long
periods and provable uniformity for full sequences.
Among several that we mention, we recommend
particularly promising ones that will generate a
sequence of 2e1751 bits.",
abstract-2 = "We introduce a new class of generators of two types:
add-with-carry and subtract-with-borrow. Related to
lagged-Fibonacci generators, the new class has
interesting underlying theory, astonishingly long
periods and provable uniformity for full sequences.
Among several that we mention, we recommend
particularly promising ones that will generate a
sequence of $2^{1751}$ bits, or a sequence of
$2^{1376}$ 32-bit integers, or a sequence of $2^{931}$
reals with 24-bit fractions--all using simple computer
arithmetic (subtraction) and a few memory locations.",
acknowledgement = ack-nhfb,
fjournal = "The Annals of Applied Probability",
journal-URL = "http://projecteuclid.org/all/euclid.aoap/;
http://www.jstor.org/journals/10505164.html",
keywords = "add with carry generator; lagged Fibonacci generator;
Monte Carlo methods; numerical examples; random number
generators; subtract-with-borrow generators; very long
period sequences",
xxCODEN = "????",
ZMclass = "*65C10 Random number generation 65C05 Monte Carlo
methods",
ZMreviewer = "M. Cugiani (Milano)",
}
@Article{Peterson:1991:NRN,
author = "Ivars Peterson",
title = "Numbers at Random: Number theory supplies a superior
random-number generator",
journal = j-SCIENCE-NEWS,
volume = "140",
number = "19",
pages = "300--301",
day = "9",
month = nov,
year = "1991",
CODEN = "SCNEBK",
ISSN = "0036-8423 (print), 1943-0930 (electronic)",
ISSN-L = "0036-8423",
bibdate = "Sat Mar 03 15:20:00 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/3975915",
acknowledgement = ack-nhfb,
fjournal = "Science News (Washington, DC)",
journal-URL = "http://www.jstor.org/journals/00368423.html;
http://www.sciencenews.org/view/archives;
http://www3.interscience.wiley.com/journal/122396840/home",
remark = "This is a sketchy popular account of the
add-with-carry and subtract-with-borrow Fibonacci-based
generators presented in \cite{Marsaglia:1991:NCR}. Such
generators can easily be constructed to have enormous
periods, such as $ 10^{500} $.",
}
@Article{Ronn:1991:LER,
author = "Stefan Ronn",
title = "On the logarithmic evaluation of recurrence
relations",
journal = j-INFO-PROC-LETT,
volume = "40",
number = "4",
pages = "197--199",
day = "25",
month = nov,
year = "1991",
CODEN = "IFPLAT",
ISSN = "0020-0190 (print), 1872-6119 (electronic)",
ISSN-L = "0020-0190",
bibdate = "Wed Nov 11 12:16:26 MST 1998",
bibsource = "Compendex database;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/infoproc1990.bib",
acknowledgement = ack-nhfb,
affiliation = "Swedish Sch of Economics",
affiliationaddress = "Helsinki, Finland",
classification = "723; 921; C4130 (Interpolation and function
approximation); C4240 (Programming and algorithm
theory)",
corpsource = "Dept. of Stat. and Comput. Sci., Swedish Sch. of
Econ., Helsinki, Finland",
fjournal = "Information Processing Letters",
journal-URL = "http://www.sciencedirect.com/science/journal/00200190",
journalabr = "Inf Process Lett",
keywords = "Algorithms; Chebyshev approximation; Chebyshev
Polynomials; Chebyshev polynomials; complexity;
computational complexity; Computer Programming;
Fibonacci Numbers; Fibonacci numbers; homomorphism;
iterative algorithm; iterative methods; linear
homogeneous recurrence relation; Logarithmic
Algorithms; Mathematical Techniques --- Polynomials;
matrix; polynomials; program verification; Recurrence
Relations.",
treatment = "T Theoretical or Mathematical",
}
@Book{Schroeder:1991:FCP,
author = "Manfred Schroeder",
title = "Fractals, Chaos, Power Laws",
publisher = pub-W-H-FREEMAN,
address = pub-W-H-FREEMAN:adr,
pages = "xviii + 429",
year = "1991",
ISBN = "0-671-74217-5, 0-7167-2136-8, 0-7167-2357-3",
ISBN-13 = "978-0-671-74217-1, 978-0-7167-2136-9,
978-0-7167-2357-8",
LCCN = "QD921 .S3 1990",
bibdate = "Wed Dec 15 10:41:35 1993",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/heisenberg-werner.bib;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/shannon-claude-elwood.bib;
https://www.math.utah.edu/pub/tex/bib/benfords-law.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/master.bib;
https://www.math.utah.edu/pub/tex/bib/pi.bib",
abstract = "Reveals the extraordinary dimensions of new
mathematical insights about the nature of physical
reality; explores the powerful applications of these
symmetry concepts in physics, chemistry, music, and the
visual arts. Includes such areas as deterministic chaos
and strange attractors, iterated mappings, nonlinear
dynamics, Cayley trees, cellular automata, random
fractals and related topics.",
acknowledgement = ack-nhfb,
shorttableofcontents = "Introduction \\
Similarity and dissimilarity \\
Self-similarity --- discrete, continuous, strict, and
otherwise \\
Power laws: endless sources of self-similarity \\
Noises: white, pink, brown, and black \\
Brownian motion, gambling losses, and intergalactic
voids: random fractals par excellence \\
Cantor sets: self-similarity and arithmetic dust \\
Fractals in higher dimensions and a digital sundial \\
Multifractals: intimately intertwined fractals \\
Some practical fractals and their measurement \\
Iteration, strange mappings, and a billion digits for
$\pi$ \\
A self-similar sequence, the logistic parabola, and
symbolic dynamics \\
A forbidden symmetry, Fibonacci's rabbits, and a new
state of matter \\
Periodic and quasiperiodic structures in space --- the
route to spatial chaos \\
Percolation: from forest fires to epidemics \\
Phase transitions and renormalization \\
Cellular automata",
tableofcontents = "Preface / xiii \\
1: Introduction / 1 \\
Einstein, Pythagoras, and Simple Similarity / 3 \\
A Self-Similar Array of Self-Preserving Queens / 4 \\
A Self-Similar Snowflake / 7 \\
A New Dimension for Fractals / 9 \\
A Self-Similar Tiling and a ``Non-Euclidean'' Paradox /
13 \\
At the Gates of Cantor's Paradise / 15 \\
The Sierpinski Gasket / 17 \\
Sir Pinski's Game and Deterministic Chaos / 20 \\
Three Bodies Cause Chaos / 25 \\
Strange Attractors, Their Basins, and a Chaos Game 2 /
7 \\
Percolating Random Fractals / 30 \\
Power Laws: from Alvarez to Zipf / 33 \\
Newton's Iteration and How to Abolish Two-Nation
Boundaries / 38 \\
Could Minkowski Hear the Shape of a Drum? / 40 \\
Discrete Self-Similarity: Creases and Center Folds / 45
\\
Golden and Silver Means and Hyperbolic Chaos / 49 \\
Winning at Fibonacci Nim / 53 \\
Self-Similar Sequences from Square Lattices / 55 \\
John Horton Conway's ``Death Bet'' / 57 \\
2: Similarity and Dissimilarity / 61 \\
More Than One Scale / 61 \\
To Scale or Not to Scale: A Bit of Biology and
Astrophysics / 63 \\
Similarity in Physics: Some Astounding Consequences /
66 \\
Similarity in Concert Halls, Microwaves, and
Hydrodynamics / 68 \\
Scaling in Psychology / 70 \\
Acousticians, Alchemy, and Concert Halls / 72 \\
Preference and Dissimilarity: Concert Halls Revisited /
74 \\
3: Self-Similarity --- Discrete, Continuous, Strict,
and Otherwise / 81 \\
The Logarithmic Spiral, Cutting Knives, and Wideband
Antennas / 89 \\
Some Simple Cases of Self-Similarity / 93 \\
Weierstrass Functions and a Musical Paradox / 96 \\
More Self-Similarity in Music: The Tempered Scales of
Bach / 99 \\
The Excellent Relations between the Primes 3, 5, and 7
/ 102 \\
4: Power Laws: Endless Sources of Self-Similarity / 103
\\
The Sizes of Cities and Meteorites / 103 \\
A Fifth Force of Attraction / 105 \\
Free of Natural Scales / 107 \\
Bach Composing on All Scales / 107 \\
Birkhoff's Aesthetic Theory / 109 \\
Heisenberg's Hyperbolic Uncertainty Principle / 112 \\
Fractional Exponents / 115 \\
The Peculiar Distribution of the First Digit / 116 \\
The Diameter Exponents of Trees, Rivers, Arteries, and
Lungs / 117 \\
5: Noises: White, Pink, Brown, and Black / 121 \\
Pink Noise / 122 \\
Self-Similar Trends on the Stock Market / 126 \\
Black Noises and Nile Floods / 129 \\
Warning: World Warming / 131 \\
Fractional Integration: A Modem Tool / 131 \\
Brownian Mountains / 133 \\
Radon Transform and Computer Tomography / 134 \\
Fresh and Tired Mountains / 135 \\
6: Brownian Motion, Gambling Losses, and Intergalactic
Voids: Random Fractals Par Excellence / 139 \\
The Brownian Beast Tamed / 140 \\
Brownian Motion as a Fractal / 141 \\
How Many Molecules? / 143 \\
The Spectrum of Brownian Motion / 144 \\
The Gambler's Ruin, Random Walks, and Information
Theory / 145 \\
Counterintuition Runs Rampant in Random Runs / 146 \\
More Food for Fair Thought / 147 \\
The St. Petersburg Paradox / 148 \\
Shannon's Outguessing Machine / 149 \\
The Classical Mechanics of Roulette and Shannon's
Channel Capacity / 150 \\
The Clustering of Poverty and Galaxies / 152 \\
Levy Flights through the Universe / 155 \\
Paradoxes from Probabilistic Power Laws / 155 \\
Invariant Distributions: Gauss, Cauchy, and Beyond /
157 \\
7: Cantor Sets: Self-Similarity and Arithmetic Dust /
161 \\
A Comer of Cantor's Paradise / 161 \\
Cantor Sets as Invariant Sets / 165 \\
Symbolic Dynamics and Deterministic Chaos / 166 \\
Devil's Staircases and a Pinball Machine / 167 \\
Mode Locking in Swings and Clocks / 171 \\
The Frustrated Manhattan Pedestrian / 172 \\
Arnold Tongues 17 / 4 \\
8: Fractals in Higher Dimensions and a Digital Sundial
/ 177 \\
Cartesian Products of Cantor Sets / 177 \\
A Leaky Gasket, Soft Sponges, and Swiss Cheeses / 178
\\
A Cantor-Set Sundial / 181 \\
Fat Fractals / 183 \\
9: Multifractals: Intimately Intertwined Fractals / 187
\\
The Distributions of People and Ore / 187 \\
Self-Affine Fractals without Holes / 190 \\
The Multifractal Spectrum: Turbulence and
Diffusion-Limited Aggregation / 193 \\
Viscous Fingering / 199 \\
Multifractals on Fractals / 200 \\
Fractal Dimensions from Generalized Entropies / 203 \\
The Relation between the Multifractal Spectrum
$f(\alpha)$ and the Mass Exponents $(q)$ / 205 \\
Strange Attractors as Multifractals / 206 \\
A Greedy Algorithm for Unfavorable Odds / 207 \\
10: Some Practical Fractals and Their Measurement / 211
\\
Dimensions from Box Counting / 213 \\
The Mass Dimension / 215 \\
The Correlation Dimension / 220 \\
Infinitely Many Dimensions / 220 \\
The Determination of Fractal Dimensions from Time
Series / 223 \\
Abstract Concrete / 224 \\
Fractal Interfaces Enforce Fractional Frequency
Exponents / 225 \\
The Fractal Dimensions of Fracture Surfaces / 230 \\
The Fractal Shapes of Clouds and Rain Areas / 231 \\
Cluster Agglomeration / 232 \\
Diffraction from Fractals / 233 \\
11: Iteration, Strange Mappings, and a Billion Digits
for Pi / 237 \\
Looking for Zeros and Encountering Chaos / 239 \\
The Strange Sets of Julia / 243 \\
A Multifractal Julia Set / 245 \\
The Beauty of Broken Linear Relationships / 249 \\
The Baker's Transformation and Digital Musical Chairs /
251 \\
Arnol'd's Cat Map / 253 \\
A Billion Digits for $\pi$ / 257 \\
Bushes and Flowers from Iterations / 259 \\
12: A Self-Similar Sequence, the Logistic Parabola, and
Symbolic Dynamics / 263 \\
Self-Similarity from the Integers / 264 \\
The Logistic Parabola and Period Doubling / 268 \\
Self-Similarity in the Logistic Parabola / 272 \\
The Scaling of the Growth Parameter / 274 \\
Self-Similar Symbolic Dynamics / 277 \\
Periodic Windows Embedded in Chaos / 279 \\
The Parenting of New Orbits / 282 \\
The Calculation of the Growth Parameters for Different
Orbits / 286 \\
Tangent Bifurcations, Intermittency, and I/f Noise /
289 \\
A Case of Complete Chaos / 291 \\
The Mandelbrot Set / 295 \\
The Julia Sets of the Complex Quadratic Map / 297 \\
13: A Forbidden Symmetry, Fibonacci's Rabbits, and a
New State of Matter / 301 \\
The Forbidden Fivefold Symmetry / 301 \\
Long-Range Order from Neighborly Interactions / 304 \\
Generation of the Rabbit Sequence from the Fibonacci
Number System / 307 \\
The Self-Similar Spectrum of the Rabbit Sequence / 308
\\
Self-Similarity in the Rabbit Sequence / 310 \\
A One-Dimensional Quasiperiodic Lattice / 310 \\
Self-Similarity from Projections / 311 \\
More Forbidden Symmetries / 315 \\
14: Periodic and Quasiperiodic Structures in Space ---
The route to Spatial Chaos / 319 \\
Periodicity and Quasiperiodicity in Space / 320 \\
The Devil's Staircase for Ising Spins / 321 \\
Quasiperiodic Spatial Distributions / 322 \\
Beatty Sequence Spins / 325 \\
The Scaling Laws for Quasiperiodic Spins / 329 \\
Self-Similar Winding Numbers / 330 \\
Circle Maps and Arnold Tongues / 331 \\
Mediants, Farey Sequences, and the Farey Tree / 334 \\
The Golden-Mean Route to Chaos / 340 \\
15: Percolation: From Forest Fires to Epidemics / 345
\\
Critical Conflagration on a Square Lattice / 346 \\
Universality / 350 \\
The Critical Density / 353 \\
The Fractal Perimeters of Percolation / 353 \\
Finite-Size Scaling / 354 \\
16: Phase Transitions and Renormalization / 357 \\
A First-Order Markov Process / 357 \\
Self-Similar and Non-Self-Similar Markov Processes /
358 \\
The Scaling of Markov Output's / 360 \\
Renormalization and Hierarchical Lattices / 362 \\
The Percolation Threshold of the Bethe Lattice / 363
\\
A Simple Renormalization / 367 \\
17: Cellular Automata / 371 \\
The Game of Life / 373 \\
Cellular Growth and Decay / 375 \\
Biological Pattern Formation / 382 \\
Self-Similarity from a Cellular Automaton / 383 \\
A Catalytic Converter as a Cellular Automaton / 386 \\
Pascal's Triangle Modulo $N$ / 387 \\
Bak's Self-Organized Critical Sandpiles / 389 \\
Appendix / 391 \\
References / 395 \\
Author Index / 411 \\
Subject Index / 417",
}
@Article{Seebold:1991:FMS,
author = "P. Seebold",
title = "{Fibonacci} morphisms and {Sturmian} words",
journal = j-THEOR-COMP-SCI,
volume = "88",
number = "2",
pages = "365--384",
day = "07",
month = oct,
year = "1991",
CODEN = "TCSCDI",
ISSN = "0304-3975 (print), 1879-2294 (electronic)",
ISSN-L = "0304-3975",
bibdate = "Sat Nov 22 13:24:22 MST 1997",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
classification = "C4220 (Automata theory)",
corpsource = "CNRS, LIFL, Lille I Univ., Villeneuve d'Ascq, France",
fjournal = "Theoretical Computer Science",
journal-URL = "http://www.sciencedirect.com/science/journal/03043975/",
keywords = "automata theory; binary morphisms; conjectures;
Fibonacci morphisms; infinite words; stationary words;
Sturmian words",
pubcountry = "Netherlands",
treatment = "T Theoretical or Mathematical",
}
@TechReport{Arno:1992:PSC,
author = "Steven Arno and Ken Iobst",
title = "The {PETASYS} supercomputer and a class of
pseudo-random number generators",
type = "Technical report",
number = "SRC-TR-92-069",
institution = inst-SRC-IDA,
address = inst-SRC-IDA:adr,
pages = "29",
month = apr,
year = "1992",
bibdate = "Fri Aug 30 08:01:51 MDT 1996",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
https://www.math.utah.edu/pub/tex/bib/super.bib",
abstract = "In this paper we describe a class of pseudo-random
number generators suitable for SIMD machines in general
and for PETASYS and the Connection Machine in
particular. Our method combines lagged (multiplicative)
Fibonacci sequences with some simple number theoretic
properties. All statements are proved in detail as an
aid to readers with varying backgrounds. In the case of
the PETASYS supercomputer our class of generators is
very fast, producing about 10p14s pseudo-random numbers
per second.",
acknowledgement = ack-nhfb,
keywords = "Supercomputers",
}
@Article{Cavicchioli:1992:CMS,
author = "Alberto Cavicchioli and Fulvia Spaggiari",
title = "The classification of $3$-manifolds with spines
related to {Fibonacci} groups",
journal = j-LECT-NOTES-MATH,
volume = "1509",
pages = "50--78",
year = "1992",
CODEN = "LNMAA2",
DOI = "https://doi.org/10.1007/BFb0087501",
ISBN = "3-540-55195-6 (print), 3-540-46772-6 (e-book)",
ISBN-13 = "978-3-540-55195-9 (print), 978-3-540-46772-4
(e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
MRclass = "57M20 (57N10)",
MRnumber = "1185961 (93m:57003)",
MRreviewer = "Sergej V. Matveev",
bibdate = "Fri May 9 19:07:23 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/lnm1990.bib",
URL = "http://link.springer.com/chapter/10.1007/BFb0087501/",
acknowledgement = ack-nhfb,
book-DOI = "https://doi.org/10.1007/BFb0087495",
book-URL = "http://www.springerlink.com/content/978-3-540-46772-4",
fjournal = "Lecture Notes in Mathematics",
journal-URL = "http://link.springer.com/bookseries/304",
}
@InCollection{Freguglia:1992:DFP,
author = "Paolo Freguglia",
booktitle = "Contributions to the history of mathematics
({Italian}) ({Modena}, 1990)",
title = "The determination of $ \pi $ in {Fibonacci}'s
{{\booktitle{Practica geometriae}}} in a
fifteenth-century manuscript",
volume = "8",
publisher = "Accad. Naz. Sci. Lett. Arti",
address = "Modena, Italy",
pages = "75--84",
year = "1992",
MRclass = "01A35",
MRnumber = "1223787 (94c:01008)",
bibdate = "Mon Apr 25 16:27:00 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
series = "Coll. Studi",
acknowledgement = ack-nhfb,
}
@Article{Hayashi:1992:FNR,
author = "Elmer K. Hayashi",
title = "{Fibonacci} Numbers, Recursion, Complexity, and
Induction Proofs",
journal = j-COLLEGE-MATH-J,
volume = "23",
number = "5",
pages = "407--410",
month = nov,
year = "1992",
CODEN = "????",
DOI = "https://doi.org/10.1080/07468342.1992.11973491",
ISSN = "0746-8342 (print), 1931-1346 (electronic)",
ISSN-L = "0746-8342",
bibdate = "Thu Feb 14 09:51:30 MST 2019",
bibsource = "https://www.math.utah.edu/pub/tex/bib/collegemathj.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.tandfonline.com/doi/abs/10.1080/07468342.1992.11973491",
acknowledgement = ack-nhfb,
fjournal = "College Mathematics Journal",
journal-URL = "https://maa.tandfonline.com/loi/ucmj20;
https://www.jstor.org/journal/collmathj",
onlinedate = "30 Jan 2018",
}
@Article{Hsu:1992:EML,
author = "Wen-Jing Hsu and C. V. Page",
title = "Embedding mesh in a large family of graphs",
journal = j-PARALLEL-PROCESS-LETT,
volume = "2",
number = "2-3",
pages = "149--155",
month = sep,
year = "1992",
CODEN = "PPLTEE",
ISSN = "0129-6264",
bibdate = "Mon Apr 14 09:48:53 MDT 1997",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/parallelprocesslett.bib",
acknowledgement = ack-nhfb,
classification = "C4230M (Multiprocessor interconnection)",
corpsource = "Dept. of Comput. Technol., Nanyang Technol. Univ.,
Singapore",
countrypub = "Singapore",
fjournal = "Parallel Processing Letters",
journal-URL = "http://www.worldscientific.com/loi/ppl",
keywords = "computations; generalized Fibonacci cubes;
interconnection network; interconnection networks; mesh
embedding; multiprocessor interconnection networks;
nearest-neighbor connections; parallel; parallel
computer; parallel processing",
treatment = "T Theoretical or Mathematical",
}
@Article{Maeder:1992:MPFa,
author = "Roman E. Maeder",
title = "The {Mathematica} Programmer: {Fibonacci} on the Fast
Track",
journal = j-MATHEMATICA-J,
volume = "1",
number = "3",
pages = "??--??",
month = "Winter",
year = "1992",
CODEN = "????",
ISSN = "1047-5974 (print), 1097-1610 (electronic)",
ISSN-L = "1047-5974",
bibdate = "Sat Nov 6 13:33:32 MDT 2010",
bibsource = "http://www.mathematica-journal.com/issue/v1i3/;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.mathematica-journal.com/issue/v1i3/tutorials/maeder/index.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematica Journal",
journal-URL = "http://www.mathematica-journal.com/",
}
@InCollection{Marsaglia:1992:MRN,
author = "George Marsaglia",
title = "The mathematics of random number generators",
crossref = "Burr:1992:UEN",
pages = "73--90",
year = "1992",
MRclass = "11K45 (65C10)",
MRnumber = "94a:11119",
MRreviewer = "R. G. Stoneham",
bibdate = "Thu Dec 22 07:42:24 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/marsaglia-george.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
MathSciNet database",
series = "Proc. Sympos. Appl. Math.",
ZMnumber = "0776.65005",
abstract = "[For the entire collection see Zbl 0759.00006.]\par
This paper first describes the role of number theory
for the three most common classes of random number
generators such as congruential, shift- register, and
lagged-Fibonacci generators. A condition characterizing
full-period sequences for shift-register generators is
given its proof sketched, which also plays a role
establishing the periods of lagged- Fibonacci
generators. Then, more details are given for the
mathematics of a new class of random number generators
with quite long periods, called `add-with-carry' and
`subtract-with-borrow' generators [the author and {\it
A. Zaman}, Ann. Appl. Probab., 1, No. 3, 462--480
(1991; Zbl 0733.65005)]. A table listing examples of
some of the most common random number generators
including the classes mentioned above is given at the
end of this paper.",
acknowledgement = ack-nhfb,
keywords = "add-with-carry generator; congruential generators;
lagged-Fibonacci generators; number theory; random
number generators; shift-register generators;
subtract-with-borrow generator",
ZMclass = "*65C10 Random number generation 11K45 Pseudo-random
numbers, etc. 11A07 Congruences, etc. 11A63 Radix
representation",
ZMreviewer = "K. Uosaki (Tottori)",
}
@Article{McIntosh:1992:GCP,
author = "Richard J. McIntosh",
title = "A Generalization of a Congruential Property of
{Lucas}",
journal = j-AMER-MATH-MONTHLY,
volume = "99",
number = "3",
pages = "231--238",
month = mar,
year = "1992",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "11A07",
MRnumber = "95b:11008",
bibdate = "Mon Jun 28 12:36:40 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Reiter:1992:FFN,
author = "Clifford Reiter",
title = "Fast {Fibonacci} Numbers",
journal = j-MATHEMATICA-J,
volume = "2",
number = "3",
pages = "??--??",
month = "Summer",
year = "1992",
CODEN = "????",
ISSN = "1047-5974 (print), 1097-1610 (electronic)",
ISSN-L = "1047-5974",
bibdate = "Sat Nov 6 13:33:40 MDT 2010",
bibsource = "http://www.mathematica-journal.com/issue/v2i3/;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.mathematica-journal.com/issue/v2i3/article/reiter/index.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematica Journal",
journal-URL = "http://www.mathematica-journal.com/",
}
@Article{Safran:1992:FN,
author = "Charles Safran",
title = "The {Fibonacci} Numbers",
journal = j-CHANCE,
volume = "5",
number = "1--2",
pages = "43--46",
month = "Winter--Spring",
year = "1992",
CODEN = "CNDCE4",
ISSN = "0933-2480 (print), 1867-2280 (electronic)",
ISSN-L = "0933-2480",
bibdate = "Sun Feb 08 07:20:10 2015",
bibsource = "https://www.math.utah.edu/pub/tex/bib/chance.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Chance: a magazine for people interested in the
analysis of data",
journal-URL = "http://chance.amstat.org/;
http://link.springer.com/journal/144;
http://www.tandfonline.com/loi/ucha20",
}
@InProceedings{Tezuka:1992:FGL,
author = "S. Tezuka and M. Fushimi",
title = "Fast Generation of Low Discrepancy Points Based on
{Fibonacci} Polynomials",
crossref = "Swain:1992:PWS",
pages = "433--437",
year = "1992",
bibdate = "Mon Feb 27 18:50:36 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@Article{Wollan:1992:PRN,
author = "Peter C. Wollan",
title = "A portable random number generator for parallel
computers",
journal = j-COMMUN-STAT-SIMUL-COMPUT,
volume = "21",
number = "4",
pages = "1247--1254",
month = "????",
year = "1992",
CODEN = "CSSCDB",
DOI = "https://doi.org/10.1080/03610919208813075",
ISSN = "0361-0918",
bibdate = "Tue Feb 7 07:20:47 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/fortran3.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
abstract = "Simulations on parallel computers require distinct
streams of pseudo-random deviates for each processor. A
combination generator is proposed which achieves
distinct streams through a congruential component, and
long period through a Fibonacci component. The
algorithm has been coded in Fortran 77, and is suitable
for fairly long simulations on machines of up to a
thousand processors.",
acknowledgement = ack-nhfb,
fjournal = "Communications in Statistics: Simulation and
Computation",
journal-URL = "http://www.tandfonline.com/loi/lssp20",
onlinedate = "27 Jun 2007",
}
@Article{Anonymous:1993:SIC,
author = "Anonymous",
title = "{Sixth International Conference on Fibonacci Numbers
and Their Applications}",
journal = j-J-COMPUT-APPL-MATH,
volume = "47",
number = "3",
pages = "N9",
day = "30",
month = sep,
year = "1993",
CODEN = "JCAMDI",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
bibdate = "Sat Feb 25 12:20:59 MST 2017",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jcomputapplmath1990.bib",
URL = "http://www.sciencedirect.com/science/article/pii/037704279390080U",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
}
@Article{Bruce:1993:RTP,
author = "J. W. Bruce",
title = "A Really Trivial Proof of the {Lucas--Lehmer} Test",
journal = j-AMER-MATH-MONTHLY,
volume = "100",
number = "4",
pages = "370--371",
month = apr,
year = "1993",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "11A51",
MRnumber = "94c:11006",
MRreviewer = "Richard P. Lewis",
bibdate = "Mon Jun 28 12:37:05 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Drmota:1993:LDE,
author = "M. Drmota",
title = "On Linear {Diophantine} Equations and {Fibonacci}
Numbers",
journal = j-J-NUMBER-THEORY,
volume = "44",
number = "3",
pages = "315--327",
month = jul,
year = "1993",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1006/jnth.1993.1056",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Wed Jul 15 08:47:16 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jnumbertheory1990.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0022314X83710565",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
}
@Article{Goldstein:1993:FVK,
author = "Arthur S. Goldstein and Edward M. Reingold",
title = "A {Fibonacci} Version of {Kraft}'s Inequality Applied
to Discrete Unimodal Search",
journal = j-SIAM-J-COMPUT,
volume = "22",
number = "4",
pages = "751--777",
month = aug,
year = "1993",
CODEN = "SMJCAT",
ISSN = "0097-5397 (print), 1095-7111 (electronic)",
ISSN-L = "0097-5397",
MRclass = "68Q25 (11B39 68Q20)",
MRnumber = "94f:68097",
bibdate = "Mon Nov 29 11:02:16 MST 2010",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toclist/SICOMP/22/4;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/siamjcomput.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Computing",
journal-URL = "http://epubs.siam.org/sicomp",
}
@Article{Good:1993:CTF,
author = "I. J. Good",
title = "{C399}. {Trigonometrical} factorization of the
{Fibonacci} and {Lucas} numbers, and sums of powers of
cotangents",
journal = j-J-STAT-COMPUT-SIMUL,
volume = "47",
number = "1--2",
pages = "94--99",
year = "1993",
CODEN = "JSCSAJ",
DOI = "https://doi.org/10.1080/00949659308811516",
ISSN = "0094-9655 (print), 1026-7778 (electronic), 1563-5163",
ISSN-L = "0094-9655",
bibdate = "Tue Apr 22 09:11:34 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jstatcomputsimul.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Statistical Computation and Simulation",
journal-URL = "http://www.tandfonline.com/loi/gscs20",
}
@Article{Gordon:1993:CDL,
author = "Daniel M. Gordon and Carl Pomerance",
title = "Corrigendum: {``The distribution of Lucas Pomerance
and elliptic pseudoprimes'' [Math. Comp. {\bf 57}
(1991), no. 196, 825--838, MR 92h:11081]}",
journal = j-MATH-COMPUT,
volume = "60",
number = "202",
pages = "877--877",
month = apr,
year = "1993",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "11N80 (11B39 11G05 11Y11)",
MRnumber = "93h:11108",
bibdate = "Wed Jan 15 09:19:51 1997",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Hsu:1993:FCN,
author = "Wen-Jing Hsu",
title = "{Fibonacci} Cubes: a new interconnection topology",
journal = j-IEEE-TRANS-PAR-DIST-SYS,
volume = "4",
number = "1",
pages = "3--12",
month = jan,
year = "1993",
CODEN = "ITDSEO",
ISSN = "1045-9219 (print), 1558-2183 (electronic)",
ISSN-L = "1045-9219",
bibdate = "Fri Apr 11 15:20:39 MDT 1997",
bibsource = "Compendex database;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/ieeetranspardistsys.bib",
acknowledgement = ack-nhfb,
affiliation = "Nanyang Technological Univ",
affiliationaddress = "Singapore",
classification = "722.4; 921.4; C1160 (Combinatorial mathematics);
C4230M (Multiprocessor interconnection)",
corpsource = "Dept. of Comput. Technol., Nanyang Technol. Univ.,
Singapore",
fjournal = "IEEE Transactions on Parallel and Distributed
Systems",
journal-URL = "http://www.computer.org/tpds/archives.htm",
journalabr = "IEEE Trans Parallel Distrib Syst",
keywords = "Boolean; connectivity; cube; fault-tolerant computing;
Fibonacci; Fibonacci Cubes; Graph theory; graph theory;
hypercube; Interconnection networks; interconnection
topology; multiprocessor interconnection networks;
node; Parallel processing systems; recurrent
structures; sparse interconnections; subgraph
embedding; supergraph; system communication primitives;
topology",
treatment = "T Theoretical or Mathematical",
}
@Article{Lidl:1993:PTL,
author = "R. Lidl and W. B. Muller",
title = "Primality testing with {Lucas} functions",
journal = j-LECT-NOTES-COMP-SCI,
volume = "718",
pages = "539--??",
year = "1993",
CODEN = "LNCSD9",
ISSN = "0302-9743 (print), 1611-3349 (electronic)",
ISSN-L = "0302-9743",
bibdate = "Mon May 13 11:49:00 MDT 1996",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Lecture Notes in Computer Science",
journal-URL = "http://link.springer.com/bookseries/558",
}
@Article{Marsaglia:1993:MTR,
author = "George Marsaglia and Arif Zaman",
title = "Monkey Tests for Random Number Generators",
journal = j-COMPUT-MATH-APPL,
volume = "26",
number = "9",
pages = "1--10",
month = nov,
year = "1993",
CODEN = "CMAPDK",
DOI = "https://doi.org/10.1016/0898-1221(93)90001-C",
ISSN = "0898-1221 (print), 1873-7668 (electronic)",
ISSN-L = "0898-1221",
MRclass = "65C10",
MRnumber = "1 236 767",
bibdate = "Mon Aug 02 10:36:54 2004",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/marsaglia-george.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
https://www.math.utah.edu/pub/tex/bib/tomacs.bib;
MathSciNet database",
note = "See also \cite{Percus:1995:TAM}.",
ZMnumber = "0788.65007",
abstract = "This paper describes some simple but sophisticated
tests of suitability of certain random number
generators (RNG's). The generators are used to provide
the random keystrokes. The overlapping $m$-tuples of
successive elements in random sequences are used for
assessing both uniformity and independence in the
output of a random number generator.\par
One is CAT test: RNG has a typewriter with 26
upper-case letters and how many keystrokes needed to
spell CAT is tested. The others are OPSO
(Overlapping-Pairs-Sparse-Occupancy), OTSO
(Overlapping-Triples-Sparse- Occupancy), OQSO
(Overlapping-Quadruples-Sparse-Occupancy) and DNA
tests: how many missing $k$-letter words in a long
string of $n$ random keystrokes from an alphabet of $
\alpha $ letters are tested.\par
Examples of RNG's in classes of congruential
generators, shift register generators, lagged Fibonacci
generators, add-with-carry and subtract-and- carry
generators and combination generators, passing these
tests are presented.",
acknowledgement = ack-nhfb,
fjournal = "Computers \& Mathematics with Applications. An
International Journal",
journal-URL = "http://www.sciencedirect.com/science/journal/08981221",
keywords = "congruential generators; lagged Fibonacci generators;
monkey tests; Overlapping-Pairs-Sparse-Occupancy;
Overlapping-Quadruples-Sparse-Occupancy;
Overlapping-Triples-Sparse-Occupancy; random number
generators; shift register generators; sparse-occupancy
tests",
ZMclass = "*65C10 Random number generation 11K45 Pseudo-random
numbers, etc.",
ZMreviewer = "K. Uosaki (Tottori)",
}
@Article{Muskat:1993:GFL,
author = "Joseph B. Muskat",
title = "Generalized {Fibonacci} and {Lucas} sequences and
rootfinding methods",
journal = j-MATH-COMPUT,
volume = "61",
number = "203",
pages = "365--372",
month = jul,
year = "1993",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "65B99 (11B39 49M15 65H99 90C30)",
MRnumber = "93k:65004",
MRreviewer = "Piero Filipponi",
bibdate = "Sat Jan 11 13:29:06 MST 1997",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Ricci:1993:SRZ,
author = "Paolo Emilio Ricci",
title = "Sum rules for zeros of polynomials and generalized
{Lucas} polynomials",
journal = j-J-MATH-PHYS,
volume = "34",
number = "10",
pages = "4884--4891",
month = oct,
year = "1993",
CODEN = "JMAPAQ",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
MRclass = "33C45",
MRnumber = "94k:33016",
MRreviewer = "Heinrich Begehr",
bibdate = "Fri Jan 2 07:23:17 MST 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
}
@Article{Smith:1993:LPE,
author = "Peter Smith",
title = "{LUC} Public-key Encryption: a Secure Alternative to
{RSA}",
journal = j-DDJ,
volume = "18",
number = "1",
pages = "44, 46, 48--49, 90--92",
month = jan,
year = "1993",
CODEN = "DDJOEB",
ISSN = "1044-789X",
bibdate = "Tue Sep 03 09:15:37 1996",
bibsource = "http://www.ddj.com/index/author/index.htm;
https://www.math.utah.edu/pub/tex/bib/cryptography1990.bib;
https://www.math.utah.edu/pub/tex/bib/dr-dobbs-1990.bib;
https://www.math.utah.edu/pub/tex/bib/dr-dobbs.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
UnCover database",
abstract = "LUC public-key encryption may be the first
cryptographic scheme to seriously challenge RSA's 15
years of dominance. Unlike RSA, LUC uses calculation of
Lucas functions instead of exponentiation for encoding
and decoding.",
acknowledgement = ack-nhfb,
classification = "C6130S (Data security)",
fjournal = "Dr. Dobb's Journal of Software Tools",
keywords = "Exponentiation; LUC; Lucas functions; Mathematical
problem; Public-key encryption; RSA; Source
authentication",
thesaurus = "Message authentication; Public key cryptography",
}
@Article{Sugiyama:1993:DCD,
author = "Kozo Sugiyama",
title = "Drawing compound digraphs and its application to an
idea organizer (abstract)",
journal = j-SIGACT,
volume = "24",
number = "1",
pages = "58",
month = "Winter",
year = "1993",
CODEN = "SIGNDM",
DOI = "https://doi.org/10.1145/152992.153000",
ISSN = "0163-5700 (print), 1943-5827 (electronic)",
ISSN-L = "0163-5700",
bibdate = "Wed Mar 21 09:45:52 MDT 2012",
bibsource = "http://portal.acm.org/;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/sigact.bib",
abstract = "An upward drawing of an acyclic digraph is a planar
straight-line drawing with the additional requirement
that all the edges flow in the same direction, e.g.,
from bottom to top. The literature on the problem of
constructing upward drawings of important classes of
digraphs is surveyed. First, it is show that there is a
family of binary trees with $n$ vertices requiring $
\Omega (n \log n) $ area for any upward drawing;
moreover, that bound is tight, i.e. each binary tree
with $n$ vertices can be drawn with O (n \log n) area.
Second, motivated by the elegant H-tree layout
algorithm for constructing non-upward drawings of
complete binary trees, an algorithm is presented for
constructing an upward drawing of a complete binary
tree with $n$ vertices in O(n) area. This result is
extended to the drawings of Fibonacci trees. Third, it
is shown that the area requirement of upward drawings
of series-parallel digraphs crucially depends on the
choice of planar embedding. Also, parallel and
sequential drawing algorithms are presented that are
optimal with respect to both the time complexity and to
the area achieved. Several results show that while
series-parallel digraphs have a rather simple and well
understood combinatorial structure, naive drawing
strategies lead to drawings with exponential area, and
clever algorithms are needed to achieve optimal area.",
acknowledgement = ack-nhfb,
fjournal = "ACM SIGACT News",
journal-URL = "http://dl.acm.org/citation.cfm?id=J697",
}
@TechReport{Sundheim:1993:FNT,
author = "R. Sundheim and B. Busta",
title = "{Fibonacci} numbers tend to obey {Benford's Law}: an
extension of {Wlodarski} and {Sentance}",
type = "Working Paper",
institution = "St. Cloud State University",
address = "St. Cloud, MN, USA",
month = "????",
year = "1993",
bibdate = "Mon Feb 18 06:37:56 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/benfords-law.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
}
@Article{Temlyakov:1993:UFC,
author = "V. N. Temlyakov",
title = "Universality of the {Fibonacci} cubature formulas",
journal = j-LECT-NOTES-MATH,
volume = "1550",
pages = "178--184",
year = "1993",
CODEN = "LNMAA2",
DOI = "https://doi.org/10.1007/BFb0117486",
ISBN = "3-540-56931-6 (print), 3-540-47792-6 (e-book)",
ISBN-13 = "978-3-540-56931-2 (print), 978-3-540-47792-1
(e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
MRclass = "41A55",
MRnumber = "1322303 (96b:41034)",
MRreviewer = "V. I. Polovinkin",
bibdate = "Fri May 9 19:07:25 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/lnm1990.bib",
URL = "http://link.springer.com/chapter/10.1007/BFb0117486/",
acknowledgement = ack-nhfb,
book-DOI = "https://doi.org/10.1007/BFb0117469",
book-URL = "http://www.springerlink.com/content/978-3-540-47792-1",
fjournal = "Lecture Notes in Mathematics",
journal-URL = "http://link.springer.com/bookseries/304",
}
@Article{Tezuka:1993:CFP,
author = "Shu Tezuka and Masanori Fushimi",
title = "Calculation of {Fibonacci} polynomials for {GFSR}
sequences with low discrepancies",
journal = j-MATH-COMPUT,
volume = "60",
number = "202",
pages = "763--770",
month = apr,
year = "1993",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "65C10 (11B39 11Y99)",
MRnumber = "93h:65009",
MRreviewer = "P{\'e}ter Kiss",
bibdate = "Sat Jan 11 13:29:06 MST 1997",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Tezuka:1993:LSA,
author = "Shu Tezuka and Pierre L'Ecuyer and Raymond Couture",
title = "On the lattice structure of the add-with-carry and
subtract-with-borrow random number generators",
journal = j-TOMACS,
volume = "3",
number = "4",
pages = "315--331",
month = oct,
year = "1993",
CODEN = "ATMCEZ",
DOI = "https://doi.org/10.1145/159737.159749",
ISSN = "1049-3301 (print), 1558-1195 (electronic)",
ISSN-L = "1049-3301",
MRclass = "65C10",
MRnumber = "1302042",
bibdate = "Thu Aug 7 12:05:27 MDT 2003",
bibsource = "http://www.acm.org/pubs/contents/journals/tomacs/;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
https://www.math.utah.edu/pub/tex/bib/tomacs.bib",
note = "See remark in \cite[page
248]{Eichenauer-Herrmann:1995:PNG}, and
\cite{Marsaglia:1991:NCR} for the original work
analyzed in this paper.",
acknowledgement = ack-nhfb,
fjournal = "ACM Transactions on Modeling and Computer Simulation",
journal-URL = "http://portal.acm.org/browse_dl.cfm?&idx=J781",
remark = "See",
}
@Article{Vattulainen:1993:IIP,
author = "I. Vattulainen and K. Kankaala and J. Saarinen and T.
Ala-Nissila",
title = "Influence of Implementation on the Properties of
Pseudorandom Number Generators with a Carry Bit",
journal = "arxiv.org",
volume = "??",
number = "??",
pages = "??--??",
day = "8",
month = jun,
year = "1993",
bibdate = "Thu Jan 19 17:55:22 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://arxiv.org/abs/hep-lat/9306008",
abstract = "We present results of extensive statistical and bit
level tests on three implementations of a pseudorandom
number generator algorithm using the lagged Fibonacci
method with an occasional addition of an extra bit.
First implementation is the RCARRY generator of James,
which uses subtraction. The second is a modified
version of it, where a suggested error present in the
original implementation has been corrected. The third
is our modification of RCARRY such that it utilizes
addition of the carry bit. Our results show that there
are no significant differences between the performance
of these three generators.",
acknowledgement = ack-nhfb,
}
@Article{Abuaiadh:1994:FHO,
author = "D. Abuaiadh and J. H. Kingston",
title = "Are {Fibonacci} Heaps Optimal?",
journal = j-LECT-NOTES-COMP-SCI,
volume = "834",
pages = "442--??",
year = "1994",
CODEN = "LNCSD9",
ISSN = "0302-9743 (print), 1611-3349 (electronic)",
ISSN-L = "0302-9743",
bibdate = "Mon May 13 11:52:14 MDT 1996",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Lecture Notes in Computer Science",
journal-URL = "http://link.springer.com/bookseries/558",
}
@Article{Brent:1994:PGF,
author = "Richard P. Brent",
title = "On the periods of generalized {Fibonacci}
recurrences",
journal = j-MATH-COMPUT,
volume = "63",
number = "207",
pages = "389--401",
month = jul,
year = "1994",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "11B37 (11B39)",
MRnumber = "94i:11012",
MRreviewer = "A. Peth{\"o}",
bibdate = "Sat Jan 11 13:29:06 MST 1997",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@TechReport{Cuccaro:1994:TTQ,
author = "Steven A. Cuccaro and Michael Mascagni and Daniel V.
Pryor",
title = "Techniques for testing the quality of parallel
pseudorandom number generators",
type = "Technical report",
number = "SRC-TR-94-128",
institution = inst-SRC-IDA,
address = inst-SRC-IDA:adr,
pages = "6",
day = "4",
month = oct,
year = "1994",
bibdate = "Fri Aug 30 08:01:51 MDT 1996",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
https://www.math.utah.edu/pub/tex/bib/super.bib",
abstract = "Ensuring that pseudorandom number generators have good
randomness properties is more complicated in a
multiprocessor implementation than in the uniprocessor
case. We discuss simple extensions of uniprocessor
testing for SIMD parallel streams, and develop in
detail a repeatability test for the SPMD paradigm.
Examples of the application of these tests to an
additive lagged-Fibonacci generator are also given.",
acknowledgement = ack-nhfb,
keywords = "Random number generators",
}
@Article{deLuca:1994:SCP,
author = "Aldo de Luca and Filippo Mignosi",
title = "Some combinatorial properties of {Sturmian} words",
journal = j-THEOR-COMP-SCI,
volume = "136",
number = "2",
pages = "361--385",
day = "29",
month = dec,
year = "1994",
CODEN = "TCSCDI",
ISSN = "0304-3975 (print), 1879-2294 (electronic)",
ISSN-L = "0304-3975",
bibdate = "Mon Jul 19 22:18:42 MDT 1999",
bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/tcs/cas_free/browse/browse.cgi?year=1994&volume=136&issue=2;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/tcs1990.bib",
URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/tcs/cas_sub/browse/browse.cgi?year=1994&volume=136&issue=2&aid=1676",
acknowledgement = ack-nhfb,
classification = "C4210L (Formal languages and computational
linguistics)",
corpsource = "Dipartimento di Matematica, Rome Univ., Italy",
fjournal = "Theoretical Computer Science",
journal-URL = "http://www.sciencedirect.com/science/journal/03043975/",
keywords = "combinatorial properties; computational linguistics;
enumeration formula; Fibonacci words; finite Sturmian
words; palindrome words; Sturmian words",
pubcountry = "Netherlands",
treatment = "T Theoretical or Mathematical",
}
@Article{Good:1994:CFL,
author = "I. J. Good",
title = "{C416}. {Fibonacci} and {Lucas} numbers and
trigonometry",
journal = j-J-STAT-COMPUT-SIMUL,
volume = "49",
number = "3--4",
pages = "237--237",
year = "1994",
CODEN = "JSCSAJ",
DOI = "https://doi.org/10.1080/00949659408811583",
ISSN = "0094-9655 (print), 1026-7778 (electronic), 1563-5163",
ISSN-L = "0094-9655",
bibdate = "Tue Apr 22 09:11:37 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jstatcomputsimul.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Statistical Computation and Simulation",
journal-URL = "http://www.tandfonline.com/loi/gscs20",
}
@Article{Hendel:1994:AFT,
author = "Russell Jay Hendel",
title = "Approaches to the Formula for the $n$ th {Fibonacci}
Number",
journal = j-COLLEGE-MATH-J,
volume = "25",
number = "2",
pages = "139--142",
month = mar,
year = "1994",
CODEN = "????",
DOI = "https://doi.org/10.1080/07468342.1994.11973598",
ISSN = "0746-8342 (print), 1931-1346 (electronic)",
ISSN-L = "0746-8342",
bibdate = "Thu Feb 14 09:51:44 MST 2019",
bibsource = "https://www.math.utah.edu/pub/tex/bib/collegemathj.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.tandfonline.com/doi/abs/10.1080/07468342.1994.11973598",
acknowledgement = ack-nhfb,
fjournal = "College Mathematics Journal",
journal-URL = "https://maa.tandfonline.com/loi/ucmj20;
https://www.jstor.org/journal/collmathj",
onlinedate = "30 Jan 2018",
}
@Article{Iguchi:1994:CNI,
author = "Kazumoto Iguchi",
title = "A class of new invariant surfaces under the trace maps
for $n$ ary {Fibonacci} lattices",
journal = j-J-MATH-PHYS,
volume = "35",
number = "2",
pages = "1008--1019",
month = feb,
year = "1994",
CODEN = "JMAPAQ",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
MRclass = "82B44 (39A12 58F40 81Q10)",
MRnumber = "95a:82055",
MRreviewer = "Dimitri Petritis",
bibdate = "Fri Jan 2 07:23:17 MST 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
}
@Article{Kirrinnis:1994:OBP,
author = "Peter Kirrinnis",
title = "An optimal bound for path weights in {Huffman} trees",
journal = j-INFO-PROC-LETT,
volume = "51",
number = "2",
pages = "107--110",
day = "26",
month = jul,
year = "1994",
CODEN = "IFPLAT",
ISSN = "0020-0190 (print), 1872-6119 (electronic)",
ISSN-L = "0020-0190",
MRclass = "68Q25 (68P05)",
MRnumber = "95e:68093",
bibdate = "Wed Nov 11 12:16:26 MST 1998",
bibsource = "Compendex database;
http://www.elsevier.com:80/inca/publications/store/5/0/5/6/1/2/;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/infoproc1990.bib",
acknowledgement = ack-nhfb,
affiliation = "Universitat Bonn",
affiliationaddress = "Bonn, Ger",
classification = "721.1; 723.2; 921.4; 921.6; C4240 (Programming and
algorithm theory); C6120 (File organisation)",
corpsource = "Inst. f{\"u}r Inf., Bonn Univ., Germany",
fjournal = "Information Processing Letters",
journal-URL = "http://www.sciencedirect.com/science/journal/00200190",
journalabr = "Inf Process Lett",
keywords = "Algorithms; Analysis of algorithms; Approximation
theory; Computational complexity; computational
complexity; Data structures; Errors; Estimation;
Fibonacci numbers; Huffman trees; optimal bound; path
weights; Polynomials; tree data structures; Trees
(mathematics)",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{LEcuyer:1994:URN,
author = "Pierre L'Ecuyer",
title = "Uniform random number generation",
journal = j-ANN-OPER-RESEARCH,
volume = "53",
number = "1",
pages = "77--120",
year = "1994",
CODEN = "AOREEV",
DOI = "https://doi.org/10.1007/BF02136827",
ISSN = "0254-5330 (print), 1572-9338 (electronic)",
ISSN-L = "0254-5330",
MRclass = "65C10",
MRnumber = "1310607 (95k:65007)",
MRreviewer = "Henri Faure",
bibdate = "Mon Jun 27 22:45:42 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
abstract = "In typical stochastic simulations, randomness is
produced by generating a sequence of independent
uniform variates (usually real-valued between 0 and 1,
or integer-valued in some interval) and transforming
them in an appropriate way. In this paper, we examine
practical ways of generating (deterministic
approximations to) such uniform variates on a computer.
We compare them in terms of ease of implementation,
efficiency, theoretical support, and statistical
robustness. We look in particular at several classes of
generators, such as linear congruential, multiple
recursive, digital multistep, Tausworthe,
lagged-Fibonacci, generalized feedback shift register,
matrix, linear congruential over fields of formal
series, and combined generators, and show how all of
them can be analyzed in terms of their lattice
structure. We also mention other classes of generators,
like non-linear generators, discuss other kinds of
theoretical and empirical statistical tests, and give a
bibliographic survey of recent papers on the subject.",
acknowledgement = ack-nhfb,
fjournal = "Annals of Operations Research",
journal-URL = "http://link.springer.com/journal/10479",
keywords = "combined generators; discrepancy; lattice structure;
linear congruential; nonlinear generators;
pseudorandom; random number generation; Simulation;
uniform random numbers",
}
@Article{Makino:1994:LFR,
author = "Jun Makino",
title = "Lagged-{Fibonacci} random number generators on
parallel computers",
journal = j-PARALLEL-COMPUTING,
volume = "20",
number = "9",
pages = "1357--1367",
day = "12",
month = sep,
year = "1994",
CODEN = "PACOEJ",
ISSN = "0167-8191 (print), 1872-7336 (electronic)",
ISSN-L = "0167-8191",
MRclass = "65C10",
MRnumber = "1 293 257",
bibdate = "Fri Aug 6 10:14:11 MDT 1999",
bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/parco/cas_free/browse/browse.cgi?year=1994&volume=20&issue=9;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/parco/cas_sub/browse/browse.cgi?year=1994&volume=20&issue=9&aid=893",
acknowledgement = ack-nhfb,
classification = "C4240P (Parallel programming and algorithm theory);
C5230 (Digital arithmetic methods); C7310
(Mathematics)",
corpsource = "Dept. of Bus. Admin. and Inf. Sci., Fukuyama Univ.,
Japan",
fjournal = "Parallel Computing",
journal-URL = "http://www.sciencedirect.com/science/journal/01678191",
keywords = "efficient algorithm; Fibonacci generators; GFSR
generators; Lagged-; parallel algorithms; parallel
computers; parallel implementation; random number
generation; random number generators; timing results",
treatment = "T Theoretical or Mathematical",
}
@TechReport{Mascagni:1994:FHQ,
author = "Michael Mascagni",
title = "A fast, high quality, and reproducible parallel
{lagged-Fibonacci} pseudorandom number generator",
type = "Technical report",
number = "SRC-TR-94-115",
institution = inst-SRC-IDA,
address = inst-SRC-IDA:adr,
pages = "18",
day = "15",
month = mar,
year = "1994",
bibdate = "Fri Aug 30 08:01:51 MDT 1996",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
abstract = "We study the suitability of the additive
lagged-Fibonacci pseudorandom number generator for
parallel computation. This generator has relatively
short period with respect to the size of its seed.
However, the short period is more than made up for with
the huge number of full-period cycles it contains.
These different full-period cycles are called
equivalence classes. We show how to enumerate the
equivalence classes and how to compute seeds to select
a given equivalence class. In addition, we present some
theoretical measures of quality for this generator when
used in parallel. Next, we conjecture on the size of
these measures of quality for this generator. Extensive
empirical evidence supports this conjecture. In
addition, a probabilistic interpretation of these
measures leads to another conjecture similarly
supported by empirical evidence. Finally we give an
explicit parallelization suitable for a fully
reproducible asynchronous MIMD implementation.",
acknowledgement = ack-nhfb,
keywords = "Parallel processing (Electronic computers)",
}
@TechReport{Mascagni:1994:PPN,
author = "Michael Mascagni",
title = "Parallel pseudorandom number generation using additive
{lagged-Fibonacci} recursions",
type = "Technical report",
number = "SRC-TR-94-133",
institution = inst-SRC-IDA,
address = inst-SRC-IDA:adr,
pages = "15",
day = "1",
month = dec,
year = "1994",
bibdate = "Fri Aug 30 08:01:51 MDT 1996",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
abstract = "We study the suitability of the additive
lagged-Fibonacci pseudorandom number generator for
parallel computation. This generator has a relatively
short period with respect to the size of its seed.
However, the short period is more than made up for with
the huge number of full-period cycles it contains. We
call these different full-period cycles equivalence
classes. We show how to enumerate the equivalence
classes and how to compute seeds to select a given
equivalence class. The use of these equivalence classes
gives an explicit parallelization suitable for a fully
reproducible asynchronous MIMD implementation. To
explore such an implementation we introduce an
exponential sum measure of quality for the additive
lagged-Fibonacci generators used in serial or parallel.
We then prove the first non-trivial results we are
aware of on the measure of quality.",
acknowledgement = ack-nhfb,
keywords = "Random number generators",
}
@Article{Niederreiter:1994:INF,
author = "Harald Niederreiter and Ian H. Sloan",
title = "Integration of nonperiodic functions of two variables
by {Fibonacci} lattice rules",
journal = j-J-COMPUT-APPL-MATH,
volume = "51",
number = "1",
pages = "57--70",
day = "30",
month = may,
year = "1994",
CODEN = "JCAMDI",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
bibdate = "Sat Feb 25 12:24:30 MST 2017",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jcomputapplmath1990.bib",
URL = "http://www.sciencedirect.com/science/article/pii/037704279200004S",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
}
@Article{Petersen:1994:LFS,
author = "W. P. Petersen",
title = "Lagged {Fibonacci} Series Random Number Generators for
the {NEC SX-3}",
journal = j-INT-J-HIGH-SPEED-COMPUTING,
volume = "6",
number = "3",
pages = "387--??",
year = "1994",
CODEN = "IHSCEZ",
ISSN = "0129-0533",
bibdate = "Mon Feb 25 11:19:24 MST 2002",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
OCLC Article1st database",
acknowledgement = ack-nhfb,
fjournal = "International Journal of High Speed Computing
(IJHSC)",
journal-URL = "http://www.worldscientific.com/worldscinet/ijhsc",
}
@TechReport{Pryor:1994:IUP,
author = "Daniel V. Pryor",
title = "Implementation and usage of a portable and
reproducible parallel pseudorandom number generator",
type = "Technical report",
number = "SRC-TR-94-116",
institution = inst-SRC-IDA,
address = inst-SRC-IDA:adr,
pages = "16",
day = "15",
month = mar,
year = "1994",
bibdate = "Fri Aug 30 08:01:51 MDT 1996",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
https://www.math.utah.edu/pub/tex/bib/super.bib",
abstract = "We describe in detail the parallel implementation of
an additive lagged-Fibonacci pseudorandom number
generator. Elsewhere, [8], it was shown how important
properties of these generators lead to an obvious
parallel implementation based on deterministic seeding.
Seeds are calculated to select one of a large number of
full-period cycles, or equivalence classes. This
`naive' implementation is computationally efficient and
produces a high-quality, portable, and totally
reproducible parallel generator. A drawback of the
`naive' implementation is that it produces sequences
that have initial segments of poor quality. In
addition, the initial segments from the equivalence
classes of different parallel processes are similar.
The simplest solution to this problem is rejected due
to its computational cost. Instead, a different seeding
algorithm is described. The new algorithm can be viewed
as an alternative enumeration of the equivalence
classes. The new algorithm is computationally more
efficient and avoids the quality problems of the
`naive' implementation. We believe that this algorithm
solves the reproducibility problem for a far larger
class of parallel Monte Carlo applications than had
been previously possible. In fact, this generator
allows one to write code that is reproducible
independent both of the number of processors and the
execution order of the parallel processes. Finally, a
library of portable C routines is described that
implements these ideas. These routines are available
from the authors.",
acknowledgement = ack-nhfb,
keywords = "Parallel processing (Electronic computers)",
}
@Article{Schmerling:1994:BRBb,
author = "Siegfried Schmerling",
title = "Book Review: {{\booktitle{Applications of Fibonacci
numbers}} --- volume 5: G. E. Bergum, A. N. Philippou,
A. F. Horadam, eds. (1993): Dordrecht, Boston, London:
Kluwer Academic Publishers, xxxiv + 625 p., 35 Fig., 30
Tab., ISBN 0-7923-2491-9}",
journal = j-COMPUT-STAT-DATA-ANAL,
volume = "17",
number = "5",
pages = "603",
month = jun,
year = "1994",
CODEN = "CSDADW",
ISSN = "0167-9473 (print), 1872-7352 (electronic)",
ISSN-L = "0167-9473",
bibdate = "Fri Feb 6 11:39:46 MST 2015",
bibsource = "https://www.math.utah.edu/pub/tex/bib/computstatdataanal1990.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0167947394901538",
acknowledgement = ack-nhfb,
fjournal = "Computational Statistics \& Data Analysis",
journal-URL = "http://www.sciencedirect.com/science/journal/01679473",
}
@Article{Smith:1994:CE,
author = "Peter Smith",
title = "Cryptography without exponentiation",
journal = j-DDJ,
volume = "19",
number = "4",
pages = "26, 28, 30",
month = apr,
year = "1994",
CODEN = "DDJOEB",
ISSN = "1044-789X",
bibdate = "Tue Sep 10 08:52:50 MDT 1996",
bibsource = "http://www.ddj.com/index/author/index.htm;
https://www.math.utah.edu/pub/tex/bib/cryptography1990.bib;
https://www.math.utah.edu/pub/tex/bib/dr-dobbs-1990.bib;
https://www.math.utah.edu/pub/tex/bib/dr-dobbs.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
UnCover database",
abstract = "Peter, who presented LUC public-key encryption in DDJ
over a year ago, extends the algorithm by adding three
new cryptosystems: a Lucas-function El Gamal public-key
encryption, a Lucas-function El Gamal digital
signature, and a Lucas-function-based key-negotiation
method called LUCDIF.",
acknowledgement = ack-nhfb,
classification = "B6120B (Codes); C6130S (Data security)",
fjournal = "Dr. Dobb's Journal of Software Tools",
keywords = "Cryptography; Cryptosystems; Exponentiation;
Hellman-Diffie-Merkle key-exchange system; LUC; Lucas
function based key-negotiation method; Lucas function
El Gamal digital signature; Lucas function El Gamal
public-key encryption; LUCDIF; RSA encryption
algorithm",
thesaurus = "Cryptography; Functions",
}
@Article{Swan:1994:AAa,
author = "Tom R. Swan",
title = "Algorithm Alley",
journal = j-DDJ,
volume = "19",
number = "1",
pages = "111--??",
month = jan,
year = "1994",
CODEN = "DDJOEB",
ISSN = "1044-789X",
bibdate = "Tue Sep 03 09:15:46 1996",
bibsource = "http://www.ddj.com/index/author/index.htm;
https://www.math.utah.edu/pub/tex/bib/dr-dobbs-1990.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib; UnCover
database",
abstract = "Tom explores three different methods of generating
random numbers --- middle-square, linear-congruential,
and Fibonacci --- and shows how you can mix two of them
to create a combination generator.",
acknowledgement = ack-nhfb,
fjournal = "Dr. Dobb's Journal of Software Tools",
}
@Article{Albano:1995:FPL,
author = "Antonio Albano and Giorgio Ghelli and Renzo Orsini",
title = "{Fibonacci}: a Programming Language for Object
Databases",
journal = j-VLDB-J,
volume = "4",
number = "3",
pages = "403--444",
month = jul,
year = "1995",
CODEN = "VLDBFR",
ISSN = "1066-8888 (print), 0949-877X (electronic)",
ISSN-L = "1066-8888",
bibdate = "Mon Jun 23 10:50:34 MDT 2008",
bibsource = "http://ftp.informatik.rwth-aachen.de/dblp/db/journals/vldb/vldb4.html;
http://portal.acm.org/;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "Electronic edition.",
URL = "http://ftp.informatik.rwth-aachen.de/dblp/db/indices/a-tree/a/Albano:Antonio.html;
http://ftp.informatik.rwth-aachen.de/dblp/db/indices/a-tree/g/Ghelli:Giorgio.html;
http://ftp.informatik.rwth-aachen.de/dblp/db/indices/a-tree/o/Orsini:Renzo.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
abstract = "Fibonacci is an object-oriented database programming
language characterized by static and strong typing, and
by new mechanisms for modeling databases in terms of
objects with roles, classes, and associations. A brief
introduction to the language is provided to present
those features, which are particularly suited to
modeling complex databases. Examples of the use of
Fibonacci are given with reference to the prototype
implementation of the language.",
acknowledgement = ack-nhfb,
fjournal = "VLDB Journal: Very Large Data Bases",
journal-URL = "http://portal.acm.org/toc.cfm?id=J869",
keywords = "data models; database programming languages; objects
with roles",
}
@Article{Anderson:1995:FKG,
author = "R. Anderson",
title = "On {Fibonacci} keystream generators",
journal = j-LECT-NOTES-COMP-SCI,
volume = "1008",
pages = "346--??",
year = "1995",
CODEN = "LNCSD9",
ISSN = "0302-9743 (print), 1611-3349 (electronic)",
ISSN-L = "0302-9743",
bibdate = "Sat May 11 13:45:32 MDT 1996",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Lecture Notes in Computer Science",
journal-URL = "http://link.springer.com/bookseries/558",
}
@Article{Anisimov:1995:LFF,
author = "A. V. Anisimov",
title = "Linear {Fibonacci} Forms and Parallel Algorithms for
High Dimension Arithmetic",
journal = j-LECT-NOTES-COMP-SCI,
volume = "964",
pages = "16--??",
year = "1995",
CODEN = "LNCSD9",
ISSN = "0302-9743 (print), 1611-3349 (electronic)",
ISSN-L = "0302-9743",
bibdate = "Sat May 11 13:45:32 MDT 1996",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Lecture Notes in Computer Science",
journal-URL = "http://link.springer.com/bookseries/558",
}
@Article{Anonymous:1995:FF,
author = "Anonymous",
title = "{Fibonacci} Forgeries",
journal = j-SCI-AMER,
volume = "272",
number = "5",
pages = "82--??",
month = may,
year = "1995",
CODEN = "SCAMAC",
ISSN = "0036-8733 (print), 1946-7087 (electronic)",
ISSN-L = "0036-8733",
bibdate = "Thu Jan 28 14:31:51 MST 1999",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Scientific American",
journal-URL = "http://www.nature.com/scientificamerican",
xxnewdata = "1998.01.30",
}
@Article{Anonymous:1995:MRa,
author = "Anonymous",
title = "Mathematical Recreations",
journal = j-SCI-AMER,
volume = "272",
number = "1",
pages = "96--??",
month = jan,
year = "1995",
CODEN = "SCAMAC",
ISSN = "0036-8733 (print), 1946-7087 (electronic)",
ISSN-L = "0036-8733",
bibdate = "Wed Jun 19 06:56:52 MDT 1996",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/sciam1990.bib",
abstract = "The dynamics of plant growth and the Fibonacci
series.",
acknowledgement = ack-nhfb,
fjournal = "Scientific American",
journal-URL = "http://www.nature.com/scientificamerican",
}
@Article{Arnault:1995:CCN,
author = "Fran{\c{c}}ois Arnault",
title = "Constructing {Carmichael} Numbers Which are Strong
Pseudoprimes to Several Bases",
journal = j-J-SYMBOLIC-COMP,
volume = "20",
number = "2",
pages = "151--162 (or 151--161??)",
month = aug,
year = "1995",
CODEN = "JSYCEH",
ISSN = "0747-7171 (print), 1095-855X (electronic)",
ISSN-L = "0747-7171",
MRclass = "11Y11 (11A51)",
MRnumber = "96k:11153",
MRreviewer = "Andrew Granville",
bibdate = "Sat May 10 15:54:09 MDT 1997",
bibsource = "https://www.math.utah.edu/pub/tex/bib/axiom.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jsymcomp.bib;
https://www.math.utah.edu/pub/tex/bib/maple-extract.bib",
acknowledgement = ack-nhfb,
classcodes = "C7310 (Mathematics computing); C1160 (Combinatorial
mathematics)",
corpsource = "Fac. des Sci., Limoges Univ., France",
fjournal = "Journal of Symbolic Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/07477171",
keywords = "Axiom; Carmichael numbers; composite numbers; Lucas;
Maple; number theory; pseudoprimes; Rabin-Miller test;
symbol manipulation",
treatment = "T Theoretical or Mathematical",
}
@Article{Bleichenbacher:1995:SRL,
author = "Daniel Bleichenbacher and Wieb Bosma and Arjen K.
Lenstra",
booktitle = "Advances in {cryptology---CRYPTO '95} (Santa Barbara,
{CA, 1995)}",
title = "Some Remarks on {Lucas}-Based Cryptosystems",
journal = j-LECT-NOTES-COMP-SCI,
volume = "963",
pages = "386--396",
year = "1995",
CODEN = "LNCSD9",
ISSN = "0302-9743 (print), 1611-3349 (electronic)",
ISSN-L = "0302-9743",
MRclass = "94A60 (11T71)",
MRnumber = "97m:94012",
bibdate = "Mon Feb 4 12:02:21 MST 2002",
bibsource = "http://link.springer-ny.com/link/service/series/0558/tocs/t0963.htm;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://link.springer-ny.com/link/service/series/0558/bibs/0963/09630386.htm;
http://link.springer-ny.com/link/service/series/0558/papers/0963/09630386.pdf",
acknowledgement = ack-nhfb,
fjournal = "Lecture Notes in Computer Science",
journal-URL = "http://link.springer.com/bookseries/558",
}
@Article{deLuca:1995:DPF,
author = "Aldo {de Luca}",
title = "A division property of the {Fibonacci} word",
journal = j-INFO-PROC-LETT,
volume = "54",
number = "6",
pages = "307--312",
day = "23",
month = jun,
year = "1995",
CODEN = "IFPLAT",
ISSN = "0020-0190 (print), 1872-6119 (electronic)",
ISSN-L = "0020-0190",
MRclass = "68R15 (05A99 68Q45)",
MRnumber = "96f:68092",
bibdate = "Wed Nov 11 12:16:26 MST 1998",
bibsource = "Compendex database;
http://www.elsevier.com:80/inca/publications/store/5/0/5/6/1/2/;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
affiliation = "Universita di Roma `La Sapienza'",
affiliationaddress = "Roma, Italy",
classification = "721.1; 921.4; 921.6; C4210L (Formal languages and
computational linguistics)",
corpsource = "Dipartimento di Matematica, La Sapienza Univ., Rome,
Italy",
fjournal = "Information Processing Letters",
journal-URL = "http://www.sciencedirect.com/science/journal/00200190",
journalabr = "Inf Process Lett",
keywords = "Combinatorial mathematics; Division property; division
property; Factorization; Fibonacci word; finite words;
Formal languages; formal languages; infinite sequence;
Lexicographic order; lexicographic order; limit
sequence; Numerical methods; reversal operation; Set
theory; standard Sturmian words; Sturmian words;
Theorem proving",
treatment = "T Theoretical or Mathematical",
}
@Article{Droubay:1995:PFW,
author = "Xavier Droubay",
title = "Palindromes in the {Fibonacci} word",
journal = j-INFO-PROC-LETT,
volume = "55",
number = "4",
pages = "217--221",
day = "25",
month = aug,
year = "1995",
CODEN = "IFPLAT",
ISSN = "0020-0190 (print), 1872-6119 (electronic)",
ISSN-L = "0020-0190",
MRclass = "68R15",
MRnumber = "96h:68156",
MRreviewer = "Pascal Weil",
bibdate = "Wed Nov 11 12:16:26 MST 1998",
bibsource = "http://www.elsevier.com:80/inca/publications/store/5/0/5/6/1/2/;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
classification = "C1160 (Combinatorial mathematics); C4210L (Formal
languages and computational linguistics)",
corpsource = "LAMIFA, Univ. de Picardie, Amiens, France",
fjournal = "Information Processing Letters",
journal-URL = "http://www.sciencedirect.com/science/journal/00200190",
keywords = "combinatorial mathematics; Fibonacci word; formal
languages; palindromes; proofs; Sturmian words; theorem
proving",
treatment = "T Theoretical or Mathematical",
}
@Article{Eichenauer-Herrmann:1995:PNG,
author = "J{\"u}rgen Eichenauer-Herrmann",
title = "Pseudorandom Number Generation by Nonlinear Methods",
journal = j-INT-STAT-REV,
volume = "63",
number = "2",
pages = "247--255",
month = aug,
year = "1995",
CODEN = "ISTRDP",
ISSN = "0306-7734 (print), 1751-5823 (electronic)",
ISSN-L = "0306-7734",
bibdate = "Tue Dec 20 08:36:22 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/1403620",
acknowledgement = ack-nhfb,
fjournal = "International Statistical Review / Revue
Internationale de Statistique",
journal-URL = "http://www.jstor.org/journals/03067734.html",
remark-1 = "From the middle of page 248: ``Recently, Marsaglia \&
Zaman \cite{Marsaglia:1991:NCR} introduced the class of
add-with-carry and subtract-with- borrow pseudorandom
number generators which can produce very long periods.
However, it is shown in \cite{Tezuka:1993:LSA} that up
to a small truncation error these generators are
equivalent to certain linear congruential generators
with extremely bad lattice structure in high
dimensions.''",
remark-2 = "From page 250: ``This behaviour of the discrepancy
$D(s)$ in dimensions $s \geq (d + 1)$ is a severe
drawback of the nonlinear congruential method, at least
if the degree $d$ of the underlying permutation
polynomial $g$ is small.'' [Here, $s$ is the length of
a sequence of consecutive pseudorandom numbers from the
inversive congruential generator; thus, such generators
are undesirable unless parameters are chosen such that
$d$ is larger that $s$.]",
}
@Article{Holt:1995:APF,
author = "Derek F. Holt",
title = "An alternative proof that the {Fibonacci} group {$
F(2, 9) $} is infinite",
journal = j-EXP-MATH,
volume = "4",
number = "2",
pages = "97--100",
month = "????",
year = "1995",
CODEN = "????",
ISSN = "1058-6458 (print), 1944-950X (electronic)",
ISSN-L = "1058-6458",
bibdate = "Mon Mar 5 10:25:47 MST 2012",
bibsource = "http://projecteuclid.org/euclid.em;
https://www.math.utah.edu/pub/tex/bib/expmath.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://projecteuclid.org/euclid.em/1047931620",
acknowledgement = ack-nhfb,
fjournal = "Experimental Mathematics",
journal-URL = "http://www.tandfonline.com/loi/uexm20",
}
@Article{Laih:1995:SLF,
author = "Chi Sung Laih and Fu Kuan Tu and Wen Chung Tai",
title = "On the security of the {Lucas} function",
journal = j-INFO-PROC-LETT,
volume = "53",
number = "5",
pages = "243--247",
day = "10",
month = mar,
year = "1995",
CODEN = "IFPLAT",
ISSN = "0020-0190 (print), 1872-6119 (electronic)",
ISSN-L = "0020-0190",
MRclass = "94A60",
MRnumber = "95m:94006",
bibdate = "Wed Nov 11 12:16:26 MST 1998",
bibsource = "Compendex database;
ftp://ftp.math.utah.edu/pub/tex/bib/infoproc.bib;
http://www.elsevier.com:80/inca/publications/store/5/0/5/6/1/2/;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
affiliation = "Natl Cheng Kung Univ",
affiliationaddress = "Tainan, Taiwan",
classification = "721.1; 723.2; 921.1; 921.6; B6110 (Information
theory); B6120B (Codes); C1260 (Information theory);
C6130S (Data security)",
corpsource = "Dept. of Electr. Eng., Nat. Cheng Kung Univ., Tainan,
Taiwan",
fjournal = "Information Processing Letters",
journal-URL = "http://www.sciencedirect.com/science/journal/00200190",
journalabr = "Inf Process Lett",
keywords = "arithmetic; Computation theory; computational
complexity; cryptographically stronger; Cryptography;
Discrete logarithm problem; discrete logarithm
problems; exponentiation; exponentiation function;
functions; Functions; generalized discrete logarithm
problems; information theory; Lucas function; Lucas
function security; Lucas problem; polynomial-time
equivalent; Polynomials; public key cryptography;
Public key cryptosystem; public key system; Security of
data; security relationship; trapdoor",
treatment = "T Theoretical or Mathematical",
}
@Article{Martin-Sanchez:1995:GIA,
author = "{\'O}scar Mart{\'\i}n-S{\'a}nchez and Crist{\'o}bal
Pareja-Flores",
title = "A gentle introduction to algorithm complexity for
{CS1} with nine variations on a theme by {Fibonacci}",
journal = j-SIGCSE,
volume = "27",
number = "2",
pages = "49--56",
month = jun,
year = "1995",
CODEN = "SIGSD3",
DOI = "https://doi.org/10.1145/201998.202013",
ISSN = "0097-8418 (print), 2331-3927 (electronic)",
ISSN-L = "0097-8418",
bibdate = "Sat Nov 17 18:57:31 MST 2012",
bibsource = "http://portal.acm.org/;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/sigcse1990.bib",
abstract = "In this paper, we propose our ideas about didactic
methods and a few examples appropriate to motivate in
students the comprehension of the basic principles
related to algorithm complexity. Emphasis is put on
avoiding formalisms and presenting gradually every new
concepts. This paper as well provides for both: an
organisation of these ideas and a collection of, we
hope, useful examples and experiences that show these
concepts in a natural way.",
acknowledgement = ack-nhfb,
fjournal = "SIGCSE Bulletin (ACM Special Interest Group on
Computer Science Education)",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J688",
}
@Article{Mascagni:1995:FHQ,
author = "Michael Mascagni and Steven A. Cuccaro and Daniel V.
Pryor and M. L. Robinson",
title = "A Fast, High Quality, and Reproducible Parallel
Lagged-{Fibonacci} Pseudorandom Number Generator",
journal = j-J-COMPUT-PHYS,
volume = "119",
number = "2",
pages = "211--219",
month = jul,
year = "1995",
CODEN = "JCTPAH",
DOI = "https://doi.org/10.1006/jcph.1995.1130",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
bibdate = "Mon Jan 2 07:55:03 MST 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jcomputphys1990.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0021999185711308",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational Physics",
journal-URL = "http://www.sciencedirect.com/science/journal/00219991/",
}
@TechReport{Mascagni:1995:PPNa,
author = "Michael Mascagni and M. L. Robinson and Daniel V.
Pryor and Steven A. Cuccaro",
title = "Parallel Pseudorandom Number Generation Using Additive
Lagged-{Fibonacci} Recursions",
type = "Report",
number = "????",
institution = "Supercomputing Research Center, IDA",
address = "????",
pages = "15",
month = "????",
year = "1995",
bibdate = "Thu Jan 19 17:49:48 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.cs.fsu.edu/~mascagni/papers/RIJP1995_1.pdf",
acknowledgement = ack-nhfb,
}
@InProceedings{Mascagni:1995:PPNb,
author = "Michael Mascagni and M. L. Robinson and Daniel V.
Pryor and Steven A. Cuccaro",
title = "Parallel Pseudorandom Number Generation Using Additive
Lagged-{Fibonacci} Recursions",
crossref = "Niederreiter:1995:MCQ",
pages = "263--277",
year = "1995",
bibdate = "Tue Dec 20 15:39:47 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@Article{Matstoms:1995:PSF,
author = "Pontus Matstoms",
title = "Parallel sparse {$ Q R $} factorization on shared
memory architectures",
journal = j-PARALLEL-COMPUTING,
volume = "21",
number = "3",
pages = "473--486",
day = "10",
month = mar,
year = "1995",
CODEN = "PACOEJ",
ISSN = "0167-8191 (print), 1872-7336 (electronic)",
ISSN-L = "0167-8191",
bibdate = "Fri Aug 6 10:14:24 MDT 1999",
bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/parco/cas_free/browse/browse.cgi?year=1995&volume=21&issue=3;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/parallelcomputing.bib",
URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/parco/cas_sub/browse/browse.cgi?year=1995&volume=21&issue=3&aid=958",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra); C4240P (Parallel programming
and algorithm theory); C5220P (Parallel architecture);
C5440 (Multiprocessing systems); C7310 (Mathematics
computing)",
corpsource = "Dept. of Math., Link{\"o}ping Univ., Sweden",
fjournal = "Parallel Computing",
journal-URL = "http://www.sciencedirect.com/science/journal/01678191",
keywords = "architectures; buddy system; CRAY X-MP/416; Fibonacci
blocks; high; level parallelism; load balancing;
mathematics computing; memory space; multifrontal QR
factorization; node level parallelism; parallel
algorithms; parallel sparse QR factorization;
performance; pool-of-tasks approach; shared memory;
sparse matrices; systems; tree",
treatment = "A Application; P Practical",
}
@Article{Morton:1995:FLS,
author = "H. R. Morton",
title = "{Fibonacci}-like sequences and greatest common
divisors",
journal = j-AMER-MATH-MONTHLY,
volume = "102",
number = "8",
pages = "731--734",
month = oct,
year = "1995",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "11B39 (11A05)",
MRnumber = "96g:11014",
MRreviewer = "Pentti Haukkanen",
bibdate = "Wed Dec 3 17:17:33 MST 1997",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Percus:1995:TAM,
author = "Ora E. Percus and Paula A. Whitlock",
title = "Theory and application of {Marsaglia}'s monkey test
for pseudorandom number generators",
journal = j-TOMACS,
volume = "5",
number = "2",
pages = "87--100",
month = apr,
year = "1995",
CODEN = "ATMCEZ",
DOI = "https://doi.org/10.1145/210330.210331",
ISSN = "1049-3301 (print), 1558-1195 (electronic)",
ISSN-L = "1049-3301",
bibdate = "Thu Aug 7 12:05:30 MDT 2003",
bibsource = "http://dblp.uni-trier.de/db/journals/tomacs/tomacs5.html#PercusW95;
http://www.acm.org/pubs/contents/journals/tomacs/;
https://www.math.utah.edu/pub/bibnet/authors/m/marsaglia-george.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
https://www.math.utah.edu/pub/tex/bib/tomacs.bib",
note = "See \cite{Marsaglia:1993:MTR}.",
ZMnumber = "0853.65009",
abstract-1 = "A theoretical analysis is given for a new test, the
``Monkey'' test, for pseudorandom number sequences,
which was proposed by Marsaglia. Selected results,
using the test on several pseudorandom number
generators in the literature, are also presented.",
abstract-2 = "The authors give a survey on theory and application of
Marsaglia's monkey test for pseudo-random number
generators. The aim of the test is to find out
correlations between small subsequences of the full
sequence of a pseudorandom number generator. For
illustration, the test is used to investigate five
known pseudorandom number generators.",
acknowledgement = ack-nhfb,
classmath = "*65C10 Random number generation 11K45 Pseudo-random
numbers, etc.",
fjournal = "ACM Transactions on Modeling and Computer Simulation",
journal-URL = "http://portal.acm.org/browse_dl.cfm?&idx=J781",
keywords = "empirical tests; Marsaglia's monkey test; pseudorandom
number generators",
oldlabel = "PercusW95",
XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/tomacs/PercusW95",
ZMreviewer = "B. Mathiszik (Halle)",
}
@Article{Ranum:1995:SAF,
author = "David L. Ranum",
title = "On some applications of {Fibonacci} numbers",
journal = j-AMER-MATH-MONTHLY,
volume = "102",
number = "7",
pages = "640--645",
month = aug # "\slash " # sep,
year = "1995",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "11B39",
MRnumber = "96e:11024",
MRreviewer = "Neville Robbins",
bibdate = "Wed Dec 3 17:17:33 MST 1997",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Smith:1995:PCD,
author = "P. Smith and C. Skinner",
title = "A public-key cryptosystem and a digital signature
system based on the {Lucas} function analogue to
discrete logarithms",
journal = j-LECT-NOTES-COMP-SCI,
volume = "917",
pages = "357--??",
year = "1995",
CODEN = "LNCSD9",
ISSN = "0302-9743 (print), 1611-3349 (electronic)",
ISSN-L = "0302-9743",
bibdate = "Sat May 11 13:45:32 MDT 1996",
bibsource = "https://www.math.utah.edu/pub/tex/bib/cryptography1990.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/lncs1995a.bib",
acknowledgement = ack-nhfb,
fjournal = "Lecture Notes in Computer Science",
journal-URL = "http://link.springer.com/bookseries/558",
}
@Article{Smith:1995:PKC,
author = "P. Smith and C. Skinner",
title = "A public-key cryptosystem and a digital signature
system based on the {Lucas} function analogue to
discrete logarithms",
journal = j-LECT-NOTES-COMP-SCI,
volume = "917",
pages = "357--??",
year = "1995",
CODEN = "LNCSD9",
ISSN = "0302-9743 (print), 1611-3349 (electronic)",
ISSN-L = "0302-9743",
bibdate = "Sat May 11 13:45:32 MDT 1996",
bibsource = "ftp://ftp.math.utah.edu/pub/tex/bib/lncs1995a.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Lecture Notes in Computer Science",
journal-URL = "http://link.springer.com/bookseries/558",
}
@Article{Stewart:1995:MRF,
author = "Ian Stewart",
title = "Mathematical Recreations: {Fibonacci} Forgeries",
journal = j-SCI-AMER,
volume = "272",
number = "5",
pages = "102--105",
month = may,
year = "1995",
CODEN = "SCAMAC",
DOI = "https://doi.org/10.1038/scientificamerican0595-102",
ISSN = "0036-8733 (print), 1946-7087 (electronic)",
ISSN-L = "0036-8733",
bibdate = "Fri May 17 08:36:13 MDT 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/sciam1990.bib",
URL = "http://www.nature.com/scientificamerican/journal/v272/n5/pdf/scientificamerican0595-102.pdf",
acknowledgement = ack-nhfb,
fjournal = "Scientific American",
journal-URL = "http://www.nature.com/scientificamerican",
}
@Article{Voutier:1995:PDL,
author = "Paul M. Voutier",
title = "Primitive divisors of {Lucas} and {Lehmer} sequences",
journal = j-MATH-COMPUT,
volume = "64",
number = "210",
pages = "869--888",
month = apr,
year = "1995",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "11D61 (11B39 11Y50)",
MRnumber = "95f:11022",
MRreviewer = "B. M. M. de Weger",
bibdate = "Sat Jan 11 13:29:06 MST 1997",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Webber:1995:OFP,
author = "Adam Webber",
title = "Optimization of Functional Programs by Grammar
Thinning",
journal = j-TOPLAS,
volume = "17",
number = "2",
pages = "293--330",
month = mar,
year = "1995",
CODEN = "ATPSDT",
ISSN = "0164-0925 (print), 1558-4593 (electronic)",
ISSN-L = "0164-0925",
bibdate = "Fri Jan 5 07:58:42 MST 1996",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/toplas.bib",
URL = "http://www.acm.org/pubs/toc/Abstracts/0164-0925/201067.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
abstract = "We describe a new technique for optimizing first-order
functional programs. Programs are represented as graph
grammars, and optimization proceeds by counterexample:
when a graph generated by the grammar is found to
contain an unnecessary computation, the optimizer
attempts to reformulates the grammar so that it never
again generates any graph that contains that
counterexample. This kind of program reformulation
corresponds to an interesting problem on context-free
grammars. Our reformulation technique is derived from
an (approximate) solution to this CFG problem. An
optimizer called Thinner is the proof of concept for
this technique. Thinner is a fully automatic,
source-to-source optimizer for a Lisp-like language of
purely functional, first-order programs. Thinner
rediscovers a wide variety of common compiler
optimizations. It also finds other more exotic
transformations, including the well-known Fibonacci
reformulation and the Knuth-Morris-Pratt
optimization.",
acknowledgement = ack-nhfb,
fjournal = "ACM Transactions on Programming Languages and
Systems",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J783",
keywords = "languages; theory",
subject = "{\bf D.3.4}: Software, PROGRAMMING LANGUAGES,
Processors, Optimization. {\bf D.3.2}: Software,
PROGRAMMING LANGUAGES, Language Classifications,
Applicative languages. {\bf F.4.2}: Theory of
Computation, MATHEMATICAL LOGIC AND FORMAL LANGUAGES,
Grammars and Other Rewriting Systems, Grammar types.",
}
@Article{Yan:1995:PTL,
author = "S. Y. Yan",
title = "Primality testing of large numbers in {Maple}",
journal = j-COMPUT-MATH-APPL,
volume = "29",
number = "12",
pages = "1--8",
month = jun,
year = "1995",
CODEN = "CMAPDK",
ISSN = "0898-1221 (print), 1873-7668 (electronic)",
ISSN-L = "0898-1221",
MRclass = "11Y11 (65C99)",
MRnumber = "MR1329593 (96a:11143)",
bibdate = "Thu Dec 28 10:25:43 1995",
bibsource = "Compendex database;
https://www.math.utah.edu/pub/tex/bib/cryptography1990.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/maple-extract.bib",
abstract = "Primality testing of large numbers is very important
in many areas of mathematics, computer science and
cryptography, and in recent years, many of the modern
primality testing algorithms have been incorporated in
Computer Algebra Systems (CAS) such as Axiom and Maple
as a standard. In this paper, we discuss primality
testing of large numbers in Maple V Release 3, a Maple
version newly released in 1994. Our computation
experience shows that the Maple primality testing
facility is prime, based on a combined use of a strong
pseudoprimality test and a Lucas test, is efficient and
reliable.",
acknowledgement = ack-nhfb,
affiliation = "Univ of York",
affiliationaddress = "York, Engl",
classification = "721.1; 723.2; 723.5; 921.1; 921.6",
fjournal = "Computers \& Mathematics with Applications. An
International Journal",
journal-URL = "http://www.sciencedirect.com/science/journal/08981221",
journalabr = "Comput Math Appl",
keywords = "Algebra; Axiom; Computer algebra systems; Computer
applications; Computer science; Cryptography; Decoding;
Elliptic curve test; Encoding (symbols); Large numbers;
Lucas test; Maple; Mathematical techniques; Modern
integer factorization method; Number theory; Primality
testing; Probable primes; Security of data; Strong
pseudoprimality test",
}
@InProceedings{Aluru:1996:PAL,
author = "S. Aluru",
title = "Parallel Additive Lagged {Fibonacci} Random Number
Generators",
crossref = "ACM:1996:FCP",
pages = "102--108",
year = "1996",
bibdate = "Wed Mar 18 12:33:18 MST 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
annote = "Also known as ICS'96. Held as part of the Federated
computing research conference (FCRC'96)",
keywords = "ACM; architecture; computer; FCRC; ICS; SIGARCH;
supercomputing",
searchkey = "su:supercomputing or su:supercomputer",
}
@Article{Berthe:1996:FFS,
author = "Val{\'e}rie Berth{\'e}",
title = "Frequences des facteurs des suites sturmiennes.
({French}) [{Frequencies} of factors of {Sturmian}
series]",
journal = j-THEOR-COMP-SCI,
volume = "165",
number = "2",
pages = "295--309",
day = "10",
month = oct,
year = "1996",
CODEN = "TCSCDI",
ISSN = "0304-3975 (print), 1879-2294 (electronic)",
ISSN-L = "0304-3975",
bibdate = "Mon Jul 19 22:20:16 MDT 1999",
bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/tcs/cas_free/browse/browse.cgi?year=1996&volume=165&issue=2;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/tcs1995.bib",
URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/tcs/cas_sub/browse/browse.cgi?year=1996&volume=165&issue=2&aid=2165",
acknowledgement = ack-nhfb,
classification = "C1160 (Combinatorial mathematics); C4210L (Formal
languages and computational linguistics)",
corpsource = "Lab. de Math. Discretes, CNRS, Marseille, France",
fjournal = "Theoretical Computer Science",
journal-URL = "http://www.sciencedirect.com/science/journal/03043975/",
keywords = "computational linguistics; continuous fraction;
Fibonacci series; frequencies of factors; graph theory;
sequences; series (mathematics); Sturmian series; word
graph",
language = "French",
pubcountry = "Netherlands",
treatment = "T Theoretical or Mathematical",
}
@InProceedings{Dijkstra:1996:FGC,
author = "Edsger W. Dijkstra",
title = "{Fibonacci} and the greatest common divisor",
crossref = "Broy:1996:DPD",
pages = "7--10",
year = "1996",
bibdate = "Wed Mar 18 12:29:39 2015",
bibsource = "DBLP;
http://dblp.uni-trier.de/db/conf/nato/dpd1996.html#Dijkstra96;
https://www.math.utah.edu/pub/bibnet/authors/d/dijkstra-edsger-w.bib;
https://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Misc/DBLP/1996.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
}
@InProceedings{Fisher:1996:FGM,
author = "David W. Fisher",
title = "{Fibonacci} and the golden mean",
crossref = "Blau:1996:VPA",
pages = "183--183",
year = "1996",
bibdate = "Mon Oct 4 18:54:35 MDT 1999",
bibsource = "http://www.acm.org/pubs/toc/;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.acm.org:80/pubs/citations/proceedings/graph/253607/p183-fisher/",
acknowledgement = ack-nhfb,
}
@Article{Loh:1996:HNT,
author = "Peter Kok Keong Loh and Wen Jing Hsu and Cai Wentong
and Nadarajah Sriskanthan",
title = "How Network Topology Affects Dynamic Load Balancing",
journal = j-IEEE-PAR-DIST-TECH,
volume = "4",
number = "3",
pages = "25--35",
month = "Fall",
year = "1996",
CODEN = "IPDTEX",
DOI = "https://doi.org/10.1109/88.532137",
ISSN = "1063-6552 (print), 1558-1861 (electronic)",
ISSN-L = "1063-6552",
bibdate = "Mon Jun 7 07:52:29 MDT 1999",
bibsource = "Compendex database;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/ieeepardisttech.bib",
URL = "http://dlib.computer.org/pd/books/pd1996/pdf/p3025.pdf;
http://www.computer.org/concurrency/pd1996/p3025abs.htm",
acknowledgement = ack-nhfb,
affiliation = "Nanyang Technological Univ",
affiliationaddress = "Singapore",
classification = "703.1; 721.1; 722.4; 723.5; 912.2; 922.1; C4230M
(Multiprocessor interconnection); C5220P (Parallel
architecture); C5470 (Performance evaluation and
testing); C6150N (Distributed systems software)",
corpsource = "Sch. of Appl. Sci., Nanyang Technol. Inst.,
Singapore",
fjournal = "IEEE Parallel and Distributed Technology: Systems and
Applications",
journalabr = "IEEE Parallel Distrib Technol",
keywords = "2D-mesh; 4D-hypercube; allocation; Calculations;
Central Job; Central job dispatcher; composite;
computational resources; Computer simulation; Decision
making; Digital arithmetic; Dispatcher strategy;
Distributed computer systems; distributed system;
Dynamic load balancing; dynamic loading balancing;
Electric network topology; Fibonacci cube; Four
dimensional hypercube; Gradient model strategy;
Gradient Model strategy; Initiated strategy; Linear
array; linear array; measurement; Multiprocessing
systems; multiprocessor interconnection networks;
multiprocessor network; network topology; parallel
architectures; Parallel processing systems;
performance; performance evaluation; Prediction based
strategy; Prediction-based strategy; Random processes;
Receiver initiated; Receiver-Initiated strategy;
resource; Resource allocation; Sender initiated;
Sender-; simulation; trace-driven; Two dimensional
mesh; virtual machines",
treatment = "P Practical",
}
@Article{Plandowski:1996:PTC,
author = "Wojciech Plandowski and Wojciech Rytter and Tomasz
Szymacha",
title = "Parallel tree-contraction and {Fibonacci} numbers",
journal = j-INFO-PROC-LETT,
volume = "59",
number = "5",
pages = "267--271",
day = "9",
month = sep,
year = "1996",
CODEN = "IFPLAT",
ISSN = "0020-0190 (print), 1872-6119 (electronic)",
ISSN-L = "0020-0190",
MRclass = "68Q10 (68Q22 68R05)",
MRnumber = "97e:68031",
bibdate = "Wed Nov 11 12:16:26 MST 1998",
bibsource = "http://www.elsevier.com:80/inca/publications/store/5/0/5/6/1/2/;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
classification = "C4240P (Parallel programming and algorithm theory);
C6120 (File organisation)",
corpsource = "Inst. of Inf., Warsaw Univ., Poland",
fjournal = "Information Processing Letters",
journal-URL = "http://www.sciencedirect.com/science/journal/00200190",
keywords = "combinatorics of trees; Fibonacci numbers; parallel
algorithms; parallel tree contraction; series
(mathematics); tree contraction algorithm; tree data
structures",
treatment = "T Theoretical or Mathematical",
}
@Article{Qian:1996:EFC,
author = "Haifeng Qian and Jie Wu",
title = "Enhanced {Fibonacci} Cubes",
journal = j-COMP-J,
volume = "39",
number = "4",
pages = "331--345",
month = "????",
year = "1996",
CODEN = "CMPJA6",
ISSN = "0010-4620 (print), 1460-2067 (electronic)",
ISSN-L = "0010-4620",
bibdate = "Wed Jul 21 09:54:49 MDT 1999",
bibsource = "http://www3.oup.co.uk/computer_journal/Volume_39/Issue_04/Vol39_04.index.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.oup.co.uk/jnls/list/comjnl/hdb/Volume_39/Issue_04/390331.sgm.abs.html;
http://www3.oup.co.uk/computer_journal/Volume_39/Issue_04/Vol39_04.body.html#AbstractQian",
acknowledgement = ack-nhfb,
classcodes = "C4230M (Multiprocessor interconnection); C5440
(Multiprocessing systems); C1160 (Combinatorial
mathematics); C5470 (Performance evaluation and
testing)",
corpsource = "Dept. of Comput. Sci. and Eng., Florida Atlantic
Univ., Boca Raton, FL, USA",
email-2 = "jie@sunrise.cse.fau.edu",
fjournal = "The Computer Journal",
journal-URL = "http://comjnl.oxfordjournals.org/",
keywords = "binary trees; computer systems; degraded hypercube;
enhanced Fibonacci cubes; fault tolerant computing;
fault-tolerant computing; Fibonacci cube; Hamiltonian
graph; hypercube; hypercube networks; parallel;
parallel prefix sum computation; parallel systems;
processing; series; subgraph; trees (mathematics)",
treatment = "T Theoretical or Mathematical",
}
@Article{Randic:1996:HOF,
author = "Milan Randi{\'c} and Daniel A. Morales and Oswaldo
Araujo",
title = "Higher-order {Fibonacci} numbers",
journal = j-J-MATH-CHEM,
volume = "20",
number = "1",
pages = "79--94",
month = mar,
year = "1996",
CODEN = "JMCHEG",
DOI = "https://doi.org/10.1007/BF01165157",
ISSN = "0259-9791 (print), 1572-8897 (electronic)",
ISSN-L = "0259-9791",
bibdate = "Thu Apr 9 18:13:47 MDT 2015",
bibsource = "http://link.springer.com/journal/10910/20/1;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jmathchem.bib",
URL = "http://link.springer.com/article/10.1007/BF01165157",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Chemistry",
journal-URL = "http://link.springer.com/journal/10910",
journalabr = "J. Math. Chem.",
}
@Article{Ryder:1996:EFN,
author = "Jack Ryder",
title = "Exploring {Fibonacci} Numbers Mod {$M$}",
journal = j-COLLEGE-MATH-J,
volume = "27",
number = "2",
pages = "122--124",
month = mar,
year = "1996",
CODEN = "????",
DOI = "https://doi.org/10.1080/07468342.1996.11973763",
ISSN = "0746-8342 (print), 1931-1346 (electronic)",
ISSN-L = "0746-8342",
bibdate = "Thu Feb 14 09:52:05 MST 2019",
bibsource = "https://www.math.utah.edu/pub/tex/bib/collegemathj.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.tandfonline.com/doi/abs/10.1080/07468342.1996.11973763",
acknowledgement = ack-nhfb,
fjournal = "College Mathematics Journal",
journal-URL = "https://maa.tandfonline.com/loi/ucmj20;
https://www.jstor.org/journal/collmathj",
onlinedate = "30 Jan 2018",
}
@Article{Trevisan:1996:NMA,
author = "Luca Trevisan",
title = "A note on minimum-area upward drawing of complete and
{Fibonacci} trees",
journal = j-INFO-PROC-LETT,
volume = "57",
number = "5",
pages = "231--236",
day = "11",
month = mar,
year = "1996",
CODEN = "IFPLAT",
ISSN = "0020-0190 (print), 1872-6119 (electronic)",
ISSN-L = "0020-0190",
MRclass = "68U05 (05C85 68Q25 68R10)",
MRnumber = "96k:68199",
bibdate = "Wed Nov 11 12:16:26 MST 1998",
bibsource = "http://www.elsevier.com:80/inca/publications/store/5/0/5/6/1/2/;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
classification = "C1160 (Combinatorial mathematics); C4240C
(Computational complexity); C4260 (Computational
geometry)",
corpsource = "Dipartimento di Sci. dell'Inf., La Sapienza Univ.,
Rome, Italy",
fjournal = "Information Processing Letters",
journal-URL = "http://www.sciencedirect.com/science/journal/00200190",
keywords = "area requirements; complete trees; computational
complexity; computational geometry; Fibonacci trees;
graph drawing; minimum-area upward drawing;
strictly-upward straight-line grid drawings; trees
(mathematics)",
treatment = "T Theoretical or Mathematical",
}
@Article{Trevisan:1996:NMU,
author = "L. Trevisan",
title = "A note on minimum-area upward drawing of complete and
{Fibonacci} trees",
journal = j-INFO-PROC-LETT,
volume = "57",
number = "5",
pages = "231--??",
day = "11",
month = mar,
year = "1996",
CODEN = "IFPLAT",
ISSN = "0020-0190 (print), 1872-6119 (electronic)",
ISSN-L = "0020-0190",
bibdate = "Sat May 18 15:34:25 MDT 1996",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/trees.bib;
https://www.math.utah.edu/pub/tex/bib/tugboat.bib;
UnCover library database",
acknowledgement = ack-nhfb,
fjournal = "Information Processing Letters",
journal-URL = "http://www.sciencedirect.com/science/journal/00200190",
}
@Article{Zeilberger:1996:SAW,
author = "Doron Zeilberger",
title = "Self-avoiding walks, the language of science, and
{Fibonacci} numbers",
journal = j-J-STAT-PLANN-INFERENCE,
volume = "54",
number = "1",
pages = "135--138",
month = sep,
year = "1996",
CODEN = "JSPIDN",
DOI = "https://doi.org/10.1016/0378-3758(95)00162-X",
ISSN = "0378-3758 (print), 1873-1171 (electronic)",
ISSN-L = "0378-3758",
bibdate = "Sat Jun 29 11:51:39 MDT 2019",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jstatplanninference1990.bib",
URL = "http://www.sciencedirect.com/science/article/pii/037837589500162X",
acknowledgement = ack-nhfb,
fjournal = "Journal of Symbolic Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/03783758",
}
@Article{Aluru:1997:LFR,
author = "Srinivas Aluru",
title = "Lagged {Fibonacci} Random Number Generators for
Distributed Memory Parallel Computers",
journal = j-J-PAR-DIST-COMP,
volume = "45",
number = "1",
pages = "1--12",
day = "25",
month = aug,
year = "1997",
CODEN = "JPDCER",
DOI = "https://doi.org/10.1006/jpdc.1997.1363",
ISSN = "0743-7315 (print), 1096-0848 (electronic)",
ISSN-L = "0743-7315",
bibdate = "Thu Mar 9 09:19:03 MST 2000",
bibsource = "http://www.idealibrary.com/servlet/useragent?func=showAllIssues&curIssueID=jpdc;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.idealibrary.com/links/doi/10.1006/jpdc.1997.1363/production;
http://www.idealibrary.com/links/doi/10.1006/jpdc.1997.1363/production/pdf;
http://www.idealibrary.com/links/doi/10.1006/jpdc.1997.1363/production/ref",
acknowledgement = ack-nhfb,
fjournal = "Journal of Parallel and Distributed Computing",
journal-URL = "http://www.sciencedirect.com/science/journal/07437315",
}
@Article{Arnault:1997:RMT,
author = "F. Arnault",
title = "The {Rabin--Monier} theorem for {Lucas} pseudoprimes",
journal = j-MATH-COMPUT,
volume = "66",
number = "218",
pages = "869--881",
month = apr,
year = "1997",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "11A51 (11B39 11Y11)",
MRnumber = "97f:11009",
MRreviewer = "Samuel S. Wagstaff, Jr.",
bibdate = "Fri Jul 16 10:38:42 MDT 1999",
bibsource = "http://www.ams.org/mcom/1997-66-218;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.ams.org/jourcgi/jour-pbprocess?fn=110&arg1=S0025-5718-97-00836-3&u=/mcom/1997-66-218/",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Boyer:1997:AAH,
author = "John Boyer",
title = "Algorithm Alley --- Heaps are usually implemented via
binary trees, with the property that for every subtree,
the root is the minimum item. Here, {John} describes
how to implement exceptionally fast `{Fibonacci}'
heaps",
journal = j-DDJ,
volume = "22",
number = "1",
pages = "106--??",
month = jan,
year = "1997",
CODEN = "DDJOEB",
ISSN = "1044-789X",
bibdate = "Fri Jan 3 06:17:24 MST 1997",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Dr. Dobb's Journal of Software Tools",
}
@Article{deLuca:1997:SSM,
author = "Aldo de Luca",
title = "Standard {Sturmian} morphisms",
journal = j-THEOR-COMP-SCI,
volume = "178",
number = "1--2",
pages = "205--224",
day = "30",
month = may,
year = "1997",
CODEN = "TCSCDI",
ISSN = "0304-3975 (print), 1879-2294 (electronic)",
ISSN-L = "0304-3975",
bibdate = "Mon Jul 19 22:20:54 MDT 1999",
bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/tcs/cas_free/browse/browse.cgi?year=1997&volume=178&issue=1-2;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/tcs1995.bib",
URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/tcs/cas_sub/browse/browse.cgi?year=1997&volume=178&issue=1-2&aid=2256",
acknowledgement = ack-nhfb,
classification = "C4210L (Formal languages and computational
linguistics)",
corpsource = "Dipartimento di Matematica, Univ. di Roma, Italy",
fjournal = "Theoretical Computer Science",
journal-URL = "http://www.sciencedirect.com/science/journal/03043975/",
keywords = "endomorphisms; Fibonacci morphism; formal languages;
left-palindrome closure; morphisms; Sturmian morphisms;
Sturmian words",
pubcountry = "Netherlands",
treatment = "T Theoretical or Mathematical",
}
@Article{Hathaway:1997:FPF,
author = "Dale K. Hathaway and Stephen L. Brown",
title = "{Fibonacci} Powers and a Fascinating Triangle",
journal = j-COLLEGE-MATH-J,
volume = "28",
number = "2",
pages = "124--128",
month = mar,
year = "1997",
CODEN = "????",
DOI = "https://doi.org/10.1080/07468342.1997.11973848",
ISSN = "0746-8342 (print), 1931-1346 (electronic)",
ISSN-L = "0746-8342",
bibdate = "Thu Feb 14 09:52:16 MST 2019",
bibsource = "https://www.math.utah.edu/pub/tex/bib/collegemathj.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.tandfonline.com/doi/abs/10.1080/07468342.1997.11973848",
acknowledgement = ack-nhfb,
fjournal = "College Mathematics Journal",
journal-URL = "https://maa.tandfonline.com/loi/ucmj20;
https://www.jstor.org/journal/collmathj",
onlinedate = "30 Jan 2018",
}
@Article{Hsu:1997:LRN,
author = "Wen-Jing Hsu and Moon Jung Chung and Amitabha Das",
title = "Linear Recursive Networks and Their Applications in
Distributed Systems",
journal = j-IEEE-TRANS-PAR-DIST-SYS,
volume = "8",
number = "7",
pages = "673--680",
month = jul,
year = "1997",
CODEN = "ITDSEO",
ISSN = "1045-9219 (print), 1558-2183 (electronic)",
ISSN-L = "1045-9219",
bibdate = "Fri Nov 6 12:31:15 MST 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/ieeetranspardistsys.bib",
URL = "http://dlib.computer.org/td/books/td1997/pdf/l0673.pdf;
http://www.computer.org/tpds/td1997/l0673abs.htm",
acknowledgement = ack-nhfb,
classification = "C4230M (Multiprocessor interconnection); C5220P
(Parallel architecture)",
corpsource = "Sch. of Appl. Sci., Nanyang Technol. Inst.,
Singapore",
fjournal = "IEEE Transactions on Parallel and Distributed
Systems",
journal-URL = "http://www.computer.org/tpds/archives.htm",
keywords = "Congruent LRNs; distributed systems; generalized
Fibonacci cubes; hypercube; hypercube networks;
interconnecting distributed systems; interconnection
topologies; linear recursive networks; multiprocessor
interconnection networks; performance; recursive
pattern; routing algorithms; routing performance;
tightly coupled systems",
treatment = "T Theoretical or Mathematical",
}
@Article{Iliopoulos:1997:CSF,
author = "Costas S. Iliopoulos and Dennis Moore and W. F.
Smyth",
title = "A characterization of the squares in a {Fibonacci}
string",
journal = j-THEOR-COMP-SCI,
volume = "172",
number = "1--2",
pages = "281--291",
day = "10",
month = feb,
year = "1997",
CODEN = "TCSCDI",
ISSN = "0304-3975 (print), 1879-2294 (electronic)",
ISSN-L = "0304-3975",
bibdate = "Mon Jul 19 22:20:35 MDT 1999",
bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/tcs/cas_free/browse/browse.cgi?year=1997&volume=172&issue=1-2;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/tcs/cas_sub/browse/browse.cgi?year=1997&volume=172&issue=1-2&aid=2344",
acknowledgement = ack-nhfb,
classification = "C4240 (Programming and algorithm theory)",
corpsource = "Dept. of Comput. Sci., King's Coll., London, UK",
fjournal = "Theoretical Computer Science",
journal-URL = "http://www.sciencedirect.com/science/journal/03043975/",
keywords = "Abelian squares; algorithm theory; computation time;
computational complexity; encoding; Fibonacci string;
string matching; string pattern matching; worst-case
examples",
pubcountry = "Netherlands",
treatment = "T Theoretical or Mathematical",
}
@Article{Jenkins:1997:AAH,
author = "Bob Jenkins",
title = "Algorithm Alley: Hash Functions",
journal = j-DDJ,
volume = "22",
number = "9",
pages = "107--109, 115--116",
month = sep,
year = "1997",
CODEN = "DDJOEB",
ISSN = "1044-789X",
bibdate = "Fri Apr 30 10:04:44 1999",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/hash.bib",
note = "Describes a new hash function which is much better at
producing uniform key distributions than others
commonly used, yet remains acceptably fast. See
\cite{Boyer:1998:AAR} for comparison with a related
algorithm.",
acknowledgement = ack-nhfb,
fjournal = "Dr. Dobb's Journal of Software Tools",
}
@Article{Jiang:1997:EGF,
author = "Feng-Shr Jiang and Shi-Jinn Horng and Tzong-Wann Kao",
title = "Embedding of Generalized {Fibonacci} Cubes in
Hypercubes with Faulty Nodes",
journal = j-IEEE-TRANS-PAR-DIST-SYS,
volume = "8",
number = "7",
pages = "727--737",
month = jul,
year = "1997",
CODEN = "ITDSEO",
ISSN = "1045-9219 (print), 1558-2183 (electronic)",
ISSN-L = "1045-9219",
bibdate = "Fri Nov 6 12:31:15 MST 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/ieeetranspardistsys.bib",
URL = "http://dlib.computer.org/td/books/td1997/pdf/l0727.pdf;
http://www.computer.org/tpds/td1997/l0727abs.htm",
acknowledgement = ack-nhfb,
classification = "C4230M (Multiprocessor interconnection); C5220P
(Parallel architecture); C5470 (Performance evaluation
and testing)",
corpsource = "Inst. of Technol., Nat. Taiwan Inst. of Technol.,
Taipei, Taiwan",
fjournal = "IEEE Transactions on Parallel and Distributed
Systems",
journal-URL = "http://www.computer.org/tpds/archives.htm",
keywords = "fault tolerant computing; fault- tolerant embedding;
faulty hypercube; faulty nodes; generalized Fibonacci
cubes; GFCs; hypercube networks; hypercubes;
interconnection topologies; multiprocessor
interconnection networks; semiregular graphs",
treatment = "T Theoretical or Mathematical",
}
@Article{Joye:1997:PFR,
author = "Marc Joye and Jean-Jacques Quisquater",
title = "Protocol Failures for {RSA}-Like Functions Using
{Lucas} Sequences and Elliptic Curves",
journal = j-LECT-NOTES-COMP-SCI,
volume = "1189",
pages = "93--100",
year = "1997",
CODEN = "LNCSD9",
ISSN = "0302-9743 (print), 1611-3349 (electronic)",
ISSN-L = "0302-9743",
MRclass = "94A60",
MRnumber = "98f:94018",
bibdate = "Fri Aug 22 11:59:49 MDT 1997",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Lecture Notes in Computer Science",
journal-URL = "http://link.springer.com/bookseries/558",
}
@Article{Lee:1997:GFM,
author = "G.-Y. Lee and S.-G. Lee and H.-G. Shin",
title = "On the {$K$}-Generalized {Fibonacci} Matrix {$ Q^*_k
$}",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "251",
number = "1--3",
pages = "73--88",
day = "15",
month = jan,
year = "1997",
CODEN = "LAAPAW",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
MRclass = "15A57 (60C05)",
MRnumber = "97g:15026",
MRreviewer = "J. L. Brenner",
bibdate = "Fri May 28 11:36:29 MDT 1999",
bibsource = "http://www.elsevier.com/locate/laa;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/laa/cas_sub/browse/browse.cgi?year=1997&volume=251&issue=1-3&aid=9500553",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795",
}
@Article{Loh:1997:DLB,
author = "Peter K. K. Loh and Hsu Wen Jing",
title = "Dynamic load balancing on multiprocessor networks",
journal = j-INT-J-COMPUT-SYST-SCI-ENG,
volume = "12",
number = "6",
pages = "369--372",
month = nov,
year = "1997",
CODEN = "CSSEEI",
ISSN = "0267-6192",
bibdate = "Thu Feb 4 13:21:32 MST 1999",
bibsource = "Compendex database;
https://www.math.utah.edu/pub/tex/bib/computsystscieng.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
OCLC Contents1st database",
acknowledgement = ack-nhfb,
affiliation = "Nanyang Technological Univ",
affiliationaddress = "Singapore, Singapore",
classification = "721.1; 722.4; 723.5",
fjournal = "International Journal of Computer Systems Science and
Engineering",
journal-URL = "http://www.crlpublishing.co.uk/csse",
journalabr = "Comput Syst Sci Eng",
keywords = "Computer simulation; Dynamic load balancing; Electric
network topology; Fibonacci cube; Hypercube;
Interconnection networks; Linear array; Multiprocessing
systems; Parallel processing systems; Response time
(computer systems)",
}
@Article{Sarkar:1997:LSF,
author = "Jayanta Sarkar and Manas Banerjee and Asok K.
Mukherjee",
title = "{Lucas} Sequences and {Fibonacci} Triads of Graphs in
{PMO} Calculation on the Charge-Transfer Bands of a
Series of {EDA} Complexes: Correlation with
Experimental and {AM1} Results",
journal = j-IJQC,
volume = "63",
number = "4",
pages = "817--825",
month = "????",
year = "1997",
CODEN = "IJQCB2",
DOI = "https://doi.org/10.1002/(SICI)1097-461X(1997)63:4<817::AID-QUA2>3.0.CO;2-Z",
ISSN = "0020-7608 (print), 1097-461X (electronic)",
ISSN-L = "0020-7608",
bibdate = "Tue Oct 4 06:59:09 MDT 2011",
bibsource = "http://www3.interscience.wiley.com/journalfinder.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/ijqc1990.bib",
URL = "http://www3.interscience.wiley.com/cgi-bin/abstract?ID=42632;
http://www3.interscience.wiley.com/cgi-bin/fulltext?ID=42632&PLACEBO=IE.pdf",
acknowledgement = ack-nhfb,
ajournal = "Int. J. Quantum Chem.",
fjournal = "International Journal of Quantum Chemistry",
journal-URL = "http://www.interscience.wiley.com/jpages/0020-7608/",
onlinedate = "6 Dec 1998",
}
@Article{Wu:1997:EFC,
author = "Jie Wu",
title = "Extended {Fibonacci} Cubes",
journal = j-IEEE-TRANS-PAR-DIST-SYS,
volume = "8",
number = "12",
pages = "1203--1210",
month = dec,
year = "1997",
CODEN = "ITDSEO",
ISSN = "1045-9219 (print), 1558-2183 (electronic)",
ISSN-L = "1045-9219",
bibdate = "Fri Nov 6 12:31:15 MST 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/ieeetranspardistsys.bib",
URL = "http://dlib.computer.org/td/books/td1997/pdf/l1203.pdf;
http://www.computer.org/tpds/td1997/l1203abs.htm",
acknowledgement = ack-nhfb,
classification = "C4230M (Multiprocessor interconnection); C5220P
(Parallel architecture)",
corpsource = "Dept. of Comput. Sci. and Eng., Florida Atlantic
Univ., Boca Raton, FL, USA",
fjournal = "IEEE Transactions on Parallel and Distributed
Systems",
journal-URL = "http://www.computer.org/tpds/archives.htm",
keywords = "binary trees; Extended Fibonacci Cube; Fibonacci
cubes; Hamiltonian; interconnection network;
multiprocessor interconnection networks; network
design; parallel machines; subgraph",
treatment = "T Theoretical or Mathematical",
}
@Article{Boyer:1998:AAR,
author = "John Boyer",
title = "Algorithm Alley: Resizable Data Structures",
journal = j-DDJ,
volume = "23",
number = "1",
pages = "115--116, 118, 129",
month = jan,
year = "1998",
CODEN = "DDJOEB",
ISSN = "1044-789X",
bibdate = "Tue Dec 2 08:43:37 1997",
bibsource = "https://www.math.utah.edu/pub/tex/bib/dr-dobbs-1990.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/hash.bib",
note = "Discusses some deficiencies of the Java library hash
table support, and compares it with his algorithm and
that used in the C++ Standard Template Library. Also
compares the Jenkins hash function
\cite{Jenkins:1997:AAH} with the one proposed in this
paper.",
abstract = "Resizable data structures are flexible, but
array-based structures are fast. John shows you how to
get the best of both worlds. Additional resources
include: HATs: Hashed Array Trees (Algorithm Alley), by
Edward Sitarski, The Fibonacci Heap (Algorithm Alley),
by John Boyer, Hashing Rehashed, by Andrew Binstock,
Hash Functions (Algorithm Alley), by Bob Jenkins,
AA0198.TXT (listings) and AA0198.ZIP (source code).",
acknowledgement = ack-nhfb,
fjournal = "Dr. Dobb's Journal of Software Tools",
}
@Article{Jensen:1998:MRF,
author = "Erik Jensen and Ronald Rusay",
title = "Musical Representations of the {Fibonacci} String and
Proteins",
journal = j-MATHEMATICA-J,
volume = "8",
number = "2",
pages = "??--??",
month = "????",
year = "1998",
CODEN = "????",
ISSN = "1047-5974 (print), 1097-1610 (electronic)",
ISSN-L = "1047-5974",
bibdate = "Sat Nov 6 13:34:24 MDT 2010",
bibsource = "http://www.mathematica-journal.com/issue/v0i0/;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematica Journal",
journal-URL = "http://www.mathematica-journal.com/",
}
@Article{Rivolo:1998:CDR,
author = "M. T. Rivolo and A. Simi",
title = "Il Calcolo delle Radici Quadrate e Cubiche in {Italia}
da {Fibonacci} a {Bombelli}. ({Italian}) [{The}
calculation of square and cube roots in {Italy} from
{Fibonacci} to {Bombelli}]",
journal = j-ARCH-HIST-EXACT-SCI,
volume = "52",
number = "2",
pages = "161--193",
month = feb,
year = "1998",
CODEN = "AHESAN",
DOI = "https://doi.org/10.1007/s004070050015",
ISSN = "0003-9519 (print), 1432-0657 (electronic)",
ISSN-L = "0003-9519",
MRclass = "01A35 (01A40)",
MRnumber = "1610136 (99d:01015)",
MRreviewer = "Massimo Galuzzi",
bibdate = "Fri Feb 4 21:50:33 MST 2011",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0003-9519&volume=52&issue=2;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0003-9519&volume=52&issue=2&spage=161",
acknowledgement = ack-nhfb,
fjournal = "Archive for History of Exact Sciences",
journal-URL = "http://link.springer.com/journal/407",
language = "Italian",
MRtitle = "The computation of square and cube roots in {Italy}
from {Fibonacci} to {Bombelli}",
}
@Article{Seebold:1998:CSM,
author = "Patrice S{\'e}{\'e}bold",
title = "On the conjugation of standard morphisms",
journal = j-THEOR-COMP-SCI,
volume = "195",
number = "1",
pages = "91--109",
day = "20",
month = mar,
year = "1998",
CODEN = "TCSCDI",
ISSN = "0304-3975 (print), 1879-2294 (electronic)",
ISSN-L = "0304-3975",
bibdate = "Mon Jul 19 22:21:41 MDT 1999",
bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/tcs/cas_free/browse/browse.cgi?year=1998&volume=195&issue=1;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/tcs1995.bib",
URL = "http://www.elsevier.com/cas/tree/store/tcs/sub/1998/195/1/2695.pdf",
acknowledgement = ack-nhfb,
classification = "C4210L (Formal languages and computational
linguistics)",
conflocation = "Cracow, Poland; 2-6 Sept. 1996",
conftitle = "Symposium on Mathematical Foundations of Computer
Science (MFCS) 1996",
corpsource = "Picardie Univ., Amiens, France",
fjournal = "Theoretical Computer Science",
journal-URL = "http://www.sciencedirect.com/science/journal/03043975/",
keywords = "alphabet; conjugation; Fibonacci morphisms; formal
languages; standard morphisms; Sturmian",
pubcountry = "Netherlands",
treatment = "T Theoretical or Mathematical",
}
@Book{Williams:1998:ELP,
author = "Hugh C. Williams",
title = "{{\'E}douard Lucas} and primality testing",
volume = "22",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "xviii + 525",
year = "1998",
ISBN = "0-471-14852-0 (hardcover)",
ISBN-13 = "978-0-471-14852-4 (hardcover)",
LCCN = "QA246 .W43 1998",
bibdate = "Fri Mar 9 15:07:41 MST 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
z3950.loc.gov:7090/Voyager",
series = "Canadian Mathematical Society series of monographs and
advanced texts",
URL = "http://www.loc.gov/catdir/description/wiley033/97044760.html;
http://www.loc.gov/catdir/toc/onix04/97044760.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
subject = "Numbers, Prime; Lucas, {\'E}douard",
subject-dates = "1842--1891",
}
@Article{Benjamin:1999:RFL,
author = "Arthur T. Benjamin and Jennifer J. Quinn",
title = "Recounting {Fibonacci} and {Lucas} Identities",
journal = j-COLLEGE-MATH-J,
volume = "30",
number = "5",
pages = "359--366",
month = nov,
year = "1999",
CODEN = "????",
DOI = "https://doi.org/10.1080/07468342.1999.11974086",
ISSN = "0746-8342 (print), 1931-1346 (electronic)",
ISSN-L = "0746-8342",
bibdate = "Thu Feb 14 09:52:44 MST 2019",
bibsource = "https://www.math.utah.edu/pub/tex/bib/collegemathj.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.tandfonline.com/doi/abs/10.1080/07468342.1999.11974086",
acknowledgement = ack-nhfb,
fjournal = "College Mathematics Journal",
journal-URL = "https://maa.tandfonline.com/loi/ucmj20;
https://www.jstor.org/journal/collmathj",
onlinedate = "30 Jan 2018",
}
@Article{Devaney:1999:MSF,
author = "Robert L. Devaney",
title = "The {Mandelbrot} set, the {Farey} tree, and the
{Fibonacci} sequence",
journal = j-AMER-MATH-MONTHLY,
volume = "106",
number = "4",
pages = "289--302",
month = apr,
year = "1999",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "58Fxx (28A80)",
MRnumber = "1 682 393",
bibdate = "Tue Jun 22 10:29:34 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Dubner:1999:NFL,
author = "Harvey Dubner and Wilfrid Keller",
title = "New {Fibonacci} and {Lucas} primes",
journal = j-MATH-COMPUT,
volume = "68",
number = "225",
pages = "417--427",
month = jan,
year = "1999",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "S1--S12. 11A51 (11B39 11Y05 11Y11)",
MRnumber = "1 484 896",
bibdate = "Fri Jul 16 10:39:00 MDT 1999",
bibsource = "http://www.ams.org/mcom/1999-68-225;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.ams.org/jourcgi/jour-pbprocess?fn=110&arg1=S0025-5718-99-00981-3&u=/mcom/1999-68-225/",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Embree:1999:GDR,
author = "Mark Embree and Lloyd N. Trefethen",
title = "Growth and decay of random {Fibonacci} sequences",
journal = j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
volume = "455",
number = "1987",
pages = "2471--2485",
day = "8",
month = jul,
year = "1999",
CODEN = "PRLAAZ",
DOI = "https://doi.org/10.1098/rspa.1999.0412/",
ISSN = "1364-5021 (print), 1471-2946 (electronic)",
MRclass = "11K31 (11B39)",
MRnumber = "MR1807827 (2001i:11098)",
MRreviewer = "Robert F. Tichy",
bibdate = "Tue Sep 27 19:08:10 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
abstract = "For $ 0 < \beta < \beta * \approx 0.70258 $, solutions
to the random recurrence $ x_{n + 1} = x_n \pm \beta
x_{n - 1} $ decay exponentially as $ n \to \infty $
with probability one, whereas for $ \beta > \beta * $,
they grow exponentially. By formulating the problem as
a Markov chain involving random matrix products and
computing its invariant measure (a fractal) the
Lyapunov constant $ \sigma (\beta) = \lim_{n \to \infty
} |x_n|^{1 / n} $ is determined numerically for a wide
range of values $ \beta $, and its dependence on $
\beta $ is observed to be non-smooth. (The limit is
defined in the almost sure sense.) This generalizes
recent work of Viswanath, who proved $ \sigma (1) =
1.131 988 24 \ldots {} $. By a simple rescaling, these
results also apply to the more general random
recurrence $ x_{n + 1} = \alpha x_n \pm \beta x_{n - 1}
$ for fixed $ \alpha $ and $ \beta $. These random
recurrence relations have links with many fields,
including ergodic theory, dynamical systems,
heavy-tailed statistics, spectral theory, continued
fractions, and condensed matter physics.",
fjournal = "Proceedings of the Royal Society of London. Series A,
Mathematical and physical sciences",
journal-URL = "http://rspa.royalsocietypublishing.org/content/current",
keywords = "Fibonacci sequence; Lyapunov constant; Markov chain;
random matrix products; random recurrences; Viswanath's
constant",
}
@Article{Fraenkel:1999:ENS,
author = "Aviezri S. Fraenkel and Jamie Simpson",
title = "The exact number of squares in {Fibonacci} words",
journal = j-THEOR-COMP-SCI,
volume = "218",
number = "1",
pages = "95--106",
day = "28",
month = apr,
year = "1999",
CODEN = "TCSCDI",
ISSN = "0304-3975 (print), 1879-2294 (electronic)",
ISSN-L = "0304-3975",
bibdate = "Mon Jul 19 22:22:35 MDT 1999",
bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/tcs/cas_free/browse/browse.cgi?year=1999&volume=218&issue=1;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/tcs1995.bib;
https://www.math.utah.edu/pub/tex/bib/tcs2010.bib",
note = "See corrigendum \cite{Fraenkel:2014:CEN}.",
URL = "http://www.elsevier.com/cas/tree/store/tcs/sub/1999/218/1/3061.pdf",
acknowledgement = ack-nhfb,
fjournal = "Theoretical Computer Science",
journal-URL = "http://www.sciencedirect.com/science/journal/03043975/",
}
@Misc{OConnor:1999:RF,
author = "John J. O'Connor and Edmund F. Robertson",
title = "References for {Fibonacci}",
pages = "??",
year = "1999",
bibdate = "Sat Jan 26 12:46:16 MST 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/datacompression.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www-groups.dcs.st-and.ac.uk/~history/References/Fibonacci.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-ds,
lastaccess = "27 January 2013",
rawdata = "Fibonacci (1999) is file |Fibonacci.html|
in\hfil\break
|http://www-groups.dcs.st-and.ac.uk/~history/References/|.",
}
@Article{Peterson:1999:FRU,
author = "Ivars Peterson",
title = "{Fibonacci} at Random: Uncovering a new mathematical
constant",
journal = j-SCIENCE-NEWS,
volume = "155",
number = "24",
pages = "376--377",
day = "12",
month = jun,
year = "1999",
CODEN = "SCNEBK",
ISSN = "0036-8423 (print), 1943-0930 (electronic)",
ISSN-L = "0036-8423",
bibdate = "Sat Mar 03 15:31:42 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/4011459",
acknowledgement = ack-nhfb,
fjournal = "Science News (Washington, DC)",
journal-URL = "http://www.jstor.org/journals/00368423.html;
http://www.sciencenews.org/view/archives;
http://www3.interscience.wiley.com/journal/122396840/home",
remark = "See \cite{Viswanath:2000:RFS} for the new constant
discussed in this article.",
}
@Article{Robertson:1999:HMR,
author = "John S. Robertson",
title = "How many recursive calls does a recursive function
make?",
journal = j-SIGCSE,
volume = "31",
number = "2",
pages = "60--61",
month = jun,
year = "1999",
CODEN = "SIGSD3",
DOI = "https://doi.org/10.1145/571535.571570",
ISSN = "0097-8418 (print), 2331-3927 (electronic)",
ISSN-L = "0097-8418",
bibdate = "Sat Nov 17 16:56:38 MST 2012",
bibsource = "http://portal.acm.org/;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/sigcse1990.bib",
abstract = "The calculation of the Fibonacci sequence using
recursion gives rise to an interesting question: How
many times does a recursive function call itself? This
paper presents one way to examine this question using
difference equations with initial conditions, or
discrete dynamical systems (DDS). We show that there is
a linear relationship between the Fibonacci numbers
themselves and the number of recursive calls. This
relationship generalizes to any type of DDS of
second-order, and DDS of higher-order.",
acknowledgement = ack-nhfb,
fjournal = "SIGCSE Bulletin (ACM Special Interest Group on
Computer Science Education)",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J688",
}
@Article{Scarano:1999:SEF,
author = "V. Scarano",
title = "On the Sizes of Extended {Fibonacci} Cubes",
journal = j-IEEE-TRANS-PAR-DIST-SYS,
volume = "10",
number = "7",
pages = "764--??",
month = jul,
year = "1999",
CODEN = "ITDSEO",
ISSN = "1045-9219 (print), 1558-2183 (electronic)",
ISSN-L = "1045-9219",
bibdate = "Thu Oct 12 18:48:31 MDT 2000",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/ieeetranspardistsys.bib",
URL = "http://dlib.computer.org/td/books/td1999/pdf/l0764.pdf;
http://www.computer.org/tpds/td1999/l0764abs.htm",
acknowledgement = ack-nhfb,
fjournal = "IEEE Transactions on Parallel and Distributed
Systems",
journal-URL = "http://www.computer.org/tpds/archives.htm",
}
@Article{Wang:1999:MCL,
author = "Ching-Te Wang and Chin-Chen Chang and Chu-Hsing Lin",
title = "A method for computing {Lucas} sequences",
journal = j-COMPUT-MATH-APPL,
volume = "38",
number = "11--12",
pages = "187--196",
month = dec,
year = "1999",
CODEN = "CMAPDK",
ISSN = "0898-1221 (print), 1873-7668 (electronic)",
ISSN-L = "0898-1221",
bibdate = "Wed Mar 1 21:49:01 MST 2017",
bibsource = "https://www.math.utah.edu/pub/tex/bib/computmathappl1990.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0898122199002977",
acknowledgement = ack-nhfb,
fjournal = "Computers and Mathematics with Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/08981221",
}
@Article{Xiong:1999:LPK,
author = "Jin Tao Xiong and Hong Xiu Liu and De Zhong Pi",
title = "The {Lucas} public-key cryptosystem and its security",
journal = "Dianzi Keji Daxue Xuebao",
volume = "28",
number = "4",
pages = "397--401",
year = "1999",
CODEN = "DKDAEM",
ISSN = "1001-0548",
MRclass = "94A60",
MRnumber = "1 737 972",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
fjournal = "Dianzi Keji Daxue Xuebao. Journal of University of
Electronic Science and Technology of China",
}
@Misc{Anonymous:19xx:FLL,
author = "Anonymous",
title = "{Fibonacci, Leonardo, or Leonardo of Pisa}",
howpublished = "Online encyclopedia article.",
year = "19xx",
bibdate = "Thu Jan 31 05:49:46 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.encyclopedia.com/doc/1G2-2830901418.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
lastaccess = "31 January 2013",
}
@Article{Apostolico:2000:FAT,
author = "Alberto Apostolico and Valentin E. Brimkov",
title = "{Fibonacci} arrays and their two-dimensional
repetitions",
journal = j-THEOR-COMP-SCI,
volume = "237",
number = "1--2",
pages = "263--273",
day = "28",
month = apr,
year = "2000",
CODEN = "TCSCDI",
ISSN = "0304-3975 (print), 1879-2294 (electronic)",
ISSN-L = "0304-3975",
bibdate = "Tue Oct 31 11:38:15 MST 2000",
bibsource = "http://www.elsevier.com/locate/issn/03043975;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.elsevier.nl/gej-ng/10/41/16/171/21/34/abstract.html;
http://www.elsevier.nl/gej-ng/10/41/16/171/21/34/article.pdf",
acknowledgement = ack-nhfb,
fjournal = "Theoretical Computer Science",
journal-URL = "http://www.sciencedirect.com/science/journal/03043975/",
}
@Article{Lee:2000:LNA,
author = "Gwang-Yeon Lee",
title = "$k$-{Lucas} numbers and associated bipartite graphs",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "320",
number = "1--3",
pages = "51--61",
day = "15",
month = nov,
year = "2000",
CODEN = "LAAPAW",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibdate = "Mon Mar 19 19:03:23 MST 2001",
bibsource = "http://www.elsevier.com/locate/laa;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.elsevier.nl/gej-ng/10/30/19/139/24/28/abstract.html;
http://www.elsevier.nl/gej-ng/10/30/19/139/24/28/article.pdf",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795",
}
@Article{Mascagni:2000:ASS,
author = "Michael Mascagni and Ashok Srinivasan",
title = "{Algorithm 806}: {SPRNG}: a scalable library for
pseudorandom number generation",
journal = j-TOMS,
volume = "26",
number = "3",
pages = "436--461",
month = sep,
year = "2000",
CODEN = "ACMSCU",
DOI = "https://doi.org/10.1145/358407.358427",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibdate = "Wed Feb 6 16:43:42 MST 2002",
bibsource = "http://www.acm.org/pubs/contents/journals/toms/;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/fortran3.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
https://www.math.utah.edu/pub/tex/bib/toms.bib",
note = "See correction \cite{Mascagni:2000:CAS}.",
URL = "http://doi.acm.org/10.1145/358407.358427",
abstract = "In this article we present background, rationale, and
a description of the Scalable Parallel Random Number
Generators (SPRNG) library. We begin by briefly
presenting some methods for parallel pseudorandom
number generation. We will focus on methods based on
parameterization, meaning that we will not consider
splitting methods. We describe parameterized versions
of the following pseudorandom number generators: (i)
linear congruential generators, (ii) shift-register
generators, and (iii) lagged-Fibonacci generators. We
briefly describe the methods, detail some advantages
and disadvantages of each method and recount results
from number theory that impact our understanding of
their quality in parallel applications. SPRNG was
designed around the uniform implementation of different
families of parameterized random number generators. We
then present a short description of SPRNG. The
description contained within this document is meant
only to outline the rationale behind and the
capabilities of SPRNG. Much more information, including
examples and detailed documentation aimed at helping
users with installing and using SPRNG on scalable
systems is available at the URL
\path=http://www.ncsa.uiuc.edu/Apps/SPRNG=. In our
description of SPRNG we discuss the random number
library as well as the suite of tests of randomness
that is an integral part of SPRNG. Random number tools
for parallel Monte Carlo applications must be subjected
to classical as well as new types of empirical tests of
randomness to eliminate generators that show defects
when used in scalable environments.",
accepted = "26 may 2000",
acknowledgement = ack-nhfb,
fjournal = "ACM Transactions on Mathematical Software (TOMS)",
journal-URL = "http://portal.acm.org/toc.cfm?idx=J782",
}
@Article{Mascagni:2000:CAS,
author = "Michael Mascagni and Ashok Srinivasan",
title = "Corrigendum: {Algorithm 806}: {SPRNG}: a scalable
library for pseudorandom number generation",
journal = j-TOMS,
volume = "26",
number = "4",
pages = "618--619",
month = dec,
year = "2000",
CODEN = "ACMSCU",
DOI = "https://doi.org/10.1145/365723.365738",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibdate = "Wed Feb 6 16:43:42 MST 2002",
bibsource = "http://www.acm.org/pubs/contents/journals/toms/;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/fortran3.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
https://www.math.utah.edu/pub/tex/bib/toms.bib",
note = "See \cite{Mascagni:2000:ASS}.",
URL = "http://doi.acm.org/10.1145/365723.365738",
abstract = "In this article we present background, rationale, and
a description of the Scalable Parallel Random Number
Generators (SPRNG) library. We begin by presenting some
methods for parallel pseudorandom number generation. We
will focus on methods based on parameterization,
meaning that we will not consider splitting methods
such as the leap-frog or blocking methods. We describe,
in detail, parameterized versions of the following
pseudorandom number generators: (i) linear congruential
generators, (ii) shift-register generators, and (iii)
lagged-Fibonacci generators. We briefly describe the
methods, detail some advantages and disadvantages of
each method, and recount results from number theory
that impact our understanding of their quality of
parallel applications. SPRNG was designed around the
uniform implementation of different families of
parameterized random number generators. We then present
a short description of SPRNG. The description contained
within this document is meant only to outline the
rationale behind and the capabilities of SPRNG. Much
more information, including examples and detailed
documentation aimed at helping users with putting and
using SPRNG on scalable systems is available at
http://sprng.cs.fsu.edu. In this description of SPRNG
we discuss the random-number generator library as well
as the suite of tests of randomness that is an integral
part of SPRNG. Random-number tools for parallel Monte
Carlo applications must be subjected to classical as
well as new types of empirical tests of randomness to
eliminate generators that show defects when used in
scalable environments.",
acknowledgement = ack-nhfb,
fjournal = "ACM Transactions on Mathematical Software (TOMS)",
journal-URL = "http://portal.acm.org/toc.cfm?idx=J782",
keywords = "Algorithms; Design; Documentation; Experimentation;
lagged-Fibonacci generator; linear congruential
generator; parallel random-number generators;
Performance; random-number software; random-number
tests; Reliability; Standardization",
subject = "Primary Classification: D. Software D.3 PROGRAMMING
LANGUAGES
Additional Classification: D. Software D.3 PROGRAMMING
LANGUAGES D.3.2 Language Classifications
Nouns: FORTRAN; C++
G. Mathematics of Computing G.4 MATHEMATICAL SOFTWARE
Subjects: Efficiency; Documentation; Parallel and
vector implementations; Algorithm design and analysis;
Reliability and robustness",
}
@Article{Olagunju:2000:RSD,
author = "Amos O. Olagunju",
title = "The role of scientific discovery in teaching and
learning of computer science",
journal = j-SIGCSE,
volume = "32",
number = "4",
pages = "28--31",
month = dec,
year = "2000",
CODEN = "SIGSD3",
DOI = "https://doi.org/10.1145/369295.369316",
ISSN = "0097-8418 (print), 2331-3927 (electronic)",
ISSN-L = "0097-8418",
bibdate = "Sat Nov 17 16:56:45 MST 2012",
bibsource = "http://portal.acm.org/;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/sigcse2000.bib",
abstract = "The importance of the roles of mathematics and
engineering in the use of computers for solving real
world problems cannot be over emphasized. This paper
advocates the engagement of professors with diversified
experiences of the applications of computers in the
real world in teaching lower level computer science
courses such as experiments designed to characterize
Fibonacci and higher order similar sequences. With the
goal of illustrating how scientific discovery
experiments are designed, the paper shows certain
connections between different areas of mathematics and
computer science.",
acknowledgement = ack-nhfb,
fjournal = "SIGCSE Bulletin (ACM Special Interest Group on
Computer Science Education)",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J688",
}
@Article{Spiesser:2000:PLB,
author = "Maryvonne Spiesser",
title = "Probl{\`e}mes lin{\'e}aires dans le
{{\booktitle{Compendy de la praticque des nombres}}} de
{Barth{\'e}lemy de Romans} et {Mathieu Pr{\'e}houde}
(1471): une approche nouvelle bas{\'e}e sur des sources
proches du {{\booktitle{Liber abbaci}}} de {L{\'e}onard
de Pise}. ({French}) [{Linear} problems in the
{{\booktitle{Compendium of the number practice}}} by
{Barth{\'e}lemy de Romans} and {Mathieu Pr{\'e}houde}
(1471): an new approach based on sources near
{{\booktitle{Liber abbaci}}} of {Leonardo of Pisa}]",
journal = j-HIST-MATH,
volume = "27",
number = "4",
pages = "362--383",
year = "2000",
CODEN = "HIMADS",
DOI = "https://doi.org/10.1006/hmat.2000.2285",
ISSN = "0315-0860 (print), 1090-249X (electronic)",
ISSN-L = "0315-0860",
MRclass = "01A35 (01A40 91-03)",
MRnumber = "1800318 (2001j:01018)",
MRreviewer = "Victor J. Katz",
bibdate = "Thu Jan 31 06:27:48 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Historia Mathematica",
journal-URL = "http://www.sciencedirect.com/science/journal/03150860",
language = "French",
}
@Article{Spiesser:2000:PLC,
author = "Maryvonne Spiesser",
title = "Probl{\`e}mes lin{\'e}aires dans le
{{\booktitle{Compendy de la praticque des nombres}}} de
{Barth{\'e}lemy de Romans} et {Mathieu Pr{\'e}houde}
(1471): une approche nouvelle bas{\'e}e sur des sources
proches du {{\booktitle{Liber abbaci}}} de {L{\'e}onard
de Pise}. ({French}) [{Linear} problems in the
{{\booktitle{Compendium of the number practice}}} by
{Barth{\'e}lemy de Romans} and {Mathieu Pr{\'e}houde}
(1471): an new approach based on sources near
{{\booktitle{Liber abbaci}}} of {Leonardo of Pisa}]",
journal = j-HIST-MATH,
volume = "27",
number = "4",
pages = "362--383",
year = "2000",
CODEN = "HIMADS",
DOI = "https://doi.org/10.1006/hmat.2000.2285",
ISSN = "0315-0860 (print), 1090-249X (electronic)",
ISSN-L = "0315-0860",
MRclass = "01A35 (01A40 91-03)",
MRnumber = "1800318 (2001j:01018)",
MRreviewer = "Victor J. Katz",
bibdate = "Thu Jan 31 06:27:48 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/histmath.bib",
acknowledgement = ack-nhfb,
fjournal = "Historia Mathematica",
journal-URL = "http://www.sciencedirect.com/science/journal/03150860/",
language = "French",
}
@Article{Stachowiak:2000:FCN,
author = "Grzegorz Stachowiak",
title = "{Fibonacci} Correction Networks",
journal = j-LECT-NOTES-COMP-SCI,
volume = "1851",
pages = "535--??",
year = "2000",
CODEN = "LNCSD9",
ISSN = "0302-9743 (print), 1611-3349 (electronic)",
ISSN-L = "0302-9743",
bibdate = "Tue Sep 10 19:08:43 MDT 2002",
bibsource = "http://link.springer-ny.com/link/service/series/0558/tocs/t1851.htm;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://link.springer-ny.com/link/service/series/0558/bibs/1851/18510535.htm;
http://link.springer-ny.com/link/service/series/0558/papers/1851/18510535.pdf",
acknowledgement = ack-nhfb,
fjournal = "Lecture Notes in Computer Science",
journal-URL = "http://link.springer.com/bookseries/558",
}
@Article{Takahashi:2000:FAC,
author = "Daisuke Takahashi",
title = "A fast algorithm for computing large {Fibonacci}
numbers",
journal = j-INFO-PROC-LETT,
volume = "75",
number = "6",
pages = "243--246",
day = "30",
month = nov,
year = "2000",
CODEN = "IFPLAT",
ISSN = "0020-0190 (print), 1872-6119 (electronic)",
ISSN-L = "0020-0190",
bibdate = "Wed Apr 18 07:11:19 MDT 2001",
bibsource = "http://www.elsevier.com:80/inca/publications/store/5/0/5/6/1/2/;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.elsevier.nl/gej-ng/10/23/20/64/31/25/abstract.html;
http://www.elsevier.nl/gej-ng/10/23/20/64/31/25/article.pdf",
acknowledgement = ack-nhfb,
fjournal = "Information Processing Letters",
journal-URL = "http://www.sciencedirect.com/science/journal/00200190",
}
@Article{Viswanath:2000:RFS,
author = "Divakar Viswanath",
title = "Random {Fibonacci} sequences and the number $
1.13198824 \dots $",
journal = j-MATH-COMPUT,
volume = "69",
number = "231",
pages = "1131--1155",
month = jul,
year = "2000",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Wed Nov 1 11:50:05 MST 2000",
bibsource = "http://www.ams.org/mcom/2000-69-231;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/master.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp2000.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.ams.org/journal-getitem?pii=S0025-5718-99-01145-X;
http://www.ams.org/mcom/2000-69-231/S0025-5718-99-01145-X/S0025-5718-99-01145-X.dvi;
http://www.ams.org/mcom/2000-69-231/S0025-5718-99-01145-X/S0025-5718-99-01145-X.pdf;
http://www.ams.org/mcom/2000-69-231/S0025-5718-99-01145-X/S0025-5718-99-01145-X.ps;
http://www.ams.org/mcom/2000-69-231/S0025-5718-99-01145-X/S0025-5718-99-01145-X.tex",
abstract = "For the familiar Fibonacci sequence (defined by $ f_1
= f_2 = 1 $ and $ f_n = f_{n - 1} + f_{n - 2} $ for $ n
> 2 $ ), $ f_n $ increases exponentially with $n$ at a
rate given by the golden ratio $ (1 + \sqrt {5}) / 2 =
1.61803398 \ldots $. But for a simple modification with
both additions and subtractions the random Fibonacci
sequences defined by $ t_1 = t_2 = 1 $ , and for $ n >
2 $, $ t_n = \pm t_{n - 1} \pm t_{n - 2} $, where each
$ \pm $ sign is independent and either $+$ or $-$ with
probability $ 1 / 2 $, it is not even obvious if $
|t_n| $ should increase with $n$. Our main result is
that\par
$$ \sqrt [n]{|t_n|} \to 1.13198824 \ldots {} \qquad
{\rm as} n \to \infty $$ \par
with probability 1. Finding the number $ 1.13198824
\ldots $ involves the theory of random matrix products,
Stern--Brocot division of the real line, a fractal
measure, a computer calculation, and a rounding error
analysis to validate the computer calculation.",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
remark = "This paper generalizes the Fibonacci sequence by
replacing the addition rule by a random choice of
addition or subtraction; the surprising result is that
the terms still grow exponentially, and the absolute
value of the $ n^{\mbox {th}} $ term obtained this way
approaches the $ n^{\mbox {th}} $ power of $ 1.13198824
\dots $, a new mathematical constant, for large $n$.",
}
@Article{Wang:2000:SBF,
author = "Guo-Jun Wang",
title = "Separable {Boolean} functions and generalized
{Fibonacci} sequences",
journal = j-COMPUT-MATH-APPL,
volume = "39",
number = "3--4",
pages = "205--216",
month = feb,
year = "2000",
CODEN = "CMAPDK",
ISSN = "0898-1221 (print), 1873-7668 (electronic)",
ISSN-L = "0898-1221",
bibdate = "Wed Mar 1 21:49:06 MST 2017",
bibsource = "https://www.math.utah.edu/pub/tex/bib/computmathappl2000.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0898122199003466",
acknowledgement = ack-nhfb,
fjournal = "Computers and Mathematics with Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/08981221",
}
@InCollection{Becvar:2001:LPF,
author = "Jind{\v{r}}ich Be{\v{c}}v{\'a}{\v{r}}",
booktitle = "Mathematics in medieval {Europe} ({Czech})
({Jev}{\'\i}{\v{c}}ko, 1999)",
title = "{Leonardo of Pisa}---{Fibonacci}",
volume = "19",
publisher = "Prometheus",
address = "Prague",
pages = "265--339",
year = "2001",
MRclass = "01A35 (01A70)",
MRnumber = "1898971",
bibdate = "Thu Jan 31 06:27:48 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
series = "D\v ej. Mat./Hist. Math.",
acknowledgement = ack-nhfb,
}
@Article{Eugeni:2001:NGF,
author = "Franco Eugeni and Raffaele Mascella",
title = "A note on generalized {Fibonacci} numbers",
journal = j-J-DISCR-MATH-SCI-CRYPTO,
volume = "4",
number = "1",
pages = "33--45",
year = "2001",
CODEN = "????",
ISSN = "0972-0529",
ISSN-L = "0972-0529",
MRclass = "11B39",
MRnumber = "1837598 (2002b:11025)",
MRreviewer = "Curtis N. Cooper",
bibdate = "Thu Feb 16 15:41:55 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jdiscrmathscicrypto.bib",
acknowledgement = ack-nhfb,
ajournal = "J. Discr. Math. Sci. Crypto.",
fjournal = "Journal of Discrete Mathematical Sciences and
Cryptography",
}
@Article{Ferraro:2001:FNP,
author = "Peter J. Ferraro",
title = "{Fibonacci} Numbers and Powers: 10765",
journal = j-AMER-MATH-MONTHLY,
volume = "108",
number = "10",
pages = "978--979",
month = dec,
year = "2001",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jan 30 12:00:12 MST 2012",
bibsource = "http://www.jstor.org/journals/00029890.html;
http://www.jstor.org/stable/i346010;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly2000.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.jstor.org/stable/2695429",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Shum:2001:DEF,
author = "A. Shum and P. M. Melliar-Smith and L. E. Moser",
title = "Design and evaluation of the {Fibonacci} optical {ATM}
switch",
journal = j-IEEE-TRANS-COMPUT,
volume = "50",
number = "5",
pages = "466--481",
month = may,
year = "2001",
CODEN = "ITCOB4",
DOI = "https://doi.org/10.1109/12.926160",
ISSN = "0018-9340 (print), 1557-9956 (electronic)",
ISSN-L = "0018-9340",
bibdate = "Tue Jul 5 10:03:09 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/ieeetranscomput2000.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=926160",
acknowledgement = ack-nhfb,
fjournal = "IEEE Transactions on Computers",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12",
}
@Article{Cahill:2002:FD,
author = "Nathan D. Cahill and John R. D'Errico and Darren A.
Narayan and Jack Y. Narayan",
title = "{Fibonacci} Determinants",
journal = j-COLLEGE-MATH-J,
volume = "33",
number = "3",
pages = "221--225",
month = may,
year = "2002",
CODEN = "????",
DOI = "https://doi.org/10.1080/07468342.2002.11921945",
ISSN = "0746-8342 (print), 1931-1346 (electronic)",
ISSN-L = "0746-8342",
bibdate = "Thu Feb 14 09:53:18 MST 2019",
bibsource = "https://www.math.utah.edu/pub/tex/bib/collegemathj.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.tandfonline.com/doi/abs/10.1080/07468342.2002.11921945",
acknowledgement = ack-nhfb,
fjournal = "College Mathematics Journal",
journal-URL = "https://maa.tandfonline.com/loi/ucmj20;
https://www.jstor.org/journal/collmathj",
onlinedate = "30 Jan 2018",
}
@Article{Franci:2002:BAL,
author = "Raffaella Franci",
title = "The {{\booktitle{Liber abaci}}} of {Leonardo}
{Fibonacci}, 1202--2002",
journal = j-BOLL-UNIONE-MAT-ITAL-A,
volume = "5",
number = "2",
pages = "293--328",
year = "2002",
CODEN = "BLUMAM",
ISSN = "0392-4033",
MRclass = "01A35",
MRnumber = "1930668 (2003h:01011)",
MRreviewer = "Warren Van Egmond",
bibdate = "Thu Jan 31 06:59:23 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Bollettino della Unione matematica italiana. A.",
}
@Article{Ginat:2002:AIP,
author = "David Ginat",
title = "Aha! an illuminating perspective",
journal = j-SIGCSE,
volume = "34",
number = "1",
pages = "1--2",
month = mar,
year = "2002",
CODEN = "SIGSD3",
DOI = "https://doi.org/10.1145/563517.563342",
ISSN = "0097-8418 (print), 2331-3927 (electronic)",
ISSN-L = "0097-8418",
bibdate = "Sat Nov 17 16:56:52 MST 2012",
bibsource = "http://portal.acm.org/;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/sigcse2000.bib",
note = "Inroads: paving the way towards excellence in
computing education.",
abstract = "The 'Aha!' phenomenon is familiar to us in many
domains including computer science and mathematics
(e.g., [2,3,6]). It often stems from an unexpected
point of view that illuminates an appealing solution
path. The 'Aha' reaction is common to all. Its
occurrence is related to the problem-solvers' common
perspectives and solution repertoires. Whether more
frequent or less frequent, 'Aha' occurrences enrich and
strengthen perspectives and repertoires in a
stimulating manner. Consider the following Ladder
Problem: calculate the number of different ways to
climb an N-stage ladder when each step is either one or
two stages. One solution perspective may be 'forward
reasoning', leading to a systematic accumulation of the
possible climbing paths. Another perspective may be
combinatorial, leading to the calculation of all the
combinations of 1 and 2 that sum to N. A third
perspective may be 'backward reasoning', yielding
recursive decomposition of the N$^{th}$ case into the
N-1 and N-2 cases. Some problem-solvers may fairly
quickly invoke the third perspective and elegantly
obtain the N$^{th}$ Fibonacci number. Others may first
follow one of the other perspectives and later realize
the illuminating third perspective. The 'Aha' reactions
among the solvers may vary. However, both less
experienced and more experienced solvers will gain from
recognizing the relevance and elegance of the recursive
decomposition and enhance their problem-solving
repertoires.",
acknowledgement = ack-nhfb,
fjournal = "SIGCSE Bulletin (ACM Special Interest Group on
Computer Science Education)",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J688",
}
@TechReport{Hargreaves:2002:IAM,
author = "Gareth I. Hargreaves",
title = "Interval Analysis in {MATLAB}",
type = "Numerical analysis report",
number = "416",
institution = inst-MCCM,
address = inst-MCCM:adr,
pages = "49",
month = dec,
year = "2002",
bibdate = "Tue Mar 30 17:06:45 2010",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/matlab.bib",
URL = "http://www.maths.man.ac.uk/~nareports/narep416.pdf",
abstract = "The introduction of fast and efficient software for
interval arithmetic, such as the MATLAB toolbox INTLAB,
has resulted in the increased popularity of the use of
interval analysis. We give an introduction to interval
arithmetic and explain how it is implemented in the
toolbox INTLAB. A tutorial is provided for those who
wish to learn how to use INTLAB. We then focus on the
interval versions of some important problems in
numerical analysis. A variety of techniques for solving
interval linear systems of equations are discussed, and
these are then tested to compare timings and accuracy.
We consider univariate and multivariate interval
nonlinear systems and describe algorithms that enclose
all the roots. Finally, we give an application of
interval analysis. Interval arithmetic is used to take
account of rounding errors in the computation of
Viswanath's constant, the rate at which a random
Fibonacci sequence increases.",
acknowledgement = ack-nhfb,
keywords = "interval analysis, interval arithmetic, INTLAB,
MATLAB, tutorial, interval linear equations, interval
nonlinear equations, Viswanath's constant",
}
@Article{Jamieson:2002:FNC,
author = "M. J. Jamieson",
title = "{Fibonacci} Numbers and Cotangent Sequences",
journal = j-AMER-MATH-MONTHLY,
volume = "109",
number = "7",
pages = "655--657",
month = aug # "\slash " # sep,
year = "2002",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jan 30 12:00:16 MST 2012",
bibsource = "http://www.jstor.org/journals/00029890.html;
http://www.jstor.org/stable/i355028;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly2000.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.jstor.org/stable/3072430",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@InProceedings{Janke:2002:PRN,
author = "Wolfhard Janke",
editor = "Johannes Grotendorst and Dominik Marx and Alejandro
Muramatsu",
booktitle = "Quantum Simulations of Complex Many-Body Systems: From
Theory to Algorithms: Winter School, 25 February--1
March 2002, Rolduc Conference Centre, Kerkrade, The
Netherlands",
title = "Pseudo Random Numbers: Generation and Quality Checks",
volume = "10",
publisher = "John von Neumann Institute for Computing",
address = "J{\"u}lich, Germany",
bookpages = "xiii + 85",
pages = "447--??",
year = "2002",
ISBN = "3-00-009058-4",
ISBN-13 = "978-3-00-009058-5",
LCCN = "Q183.9 N492 v. 11",
bibdate = "Wed Feb 15 17:09:00 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www2.fz-juelich.de/nic-series/volume10/janke1.pdf",
acknowledgement = ack-nhfb,
keywords = "Box--Muller transformation; CDC/CRAY RANF generator
(combined LCG(44 485 709 377 909, 0, $2^{48}$) and
LCG(247 908 122 798 849, 0, $2^{48}$)); exponential
distribution generator; GGL generator (LCG(16 807, 0,
$2^{31} - 1$), also known as CONG or RAN0); lagged
Fibonacci (LF) generator; Marsaglia SUPER-DUPER
generator; NAG G05FAG generator (LCG($13^{13}$, 0,
$2^{59}$)); normal distribution generator; R250
generator (GFSR(250, 103, xor)); R250/521 (improved
R250); RAN3 generator (LF(55, 24, m, -)); RAND (LCG(69
069, 1, $2^{32}$)); RANLUX generator (RCARRY with
discards of blocks of random numbers); RANMAR generator
(combination of LF(97, 33, -) and arithmetic sequence
($x_k = x_k - c$ if positive, else $x_k = x_k - c + d$,
with $c = 7 654 321 / 16 777 216$ and $d = 16 777 213
/16 777 216$)); RCARRY generator (Marsaglia/Zaman
subtract-with-borrow generator); shift register
generator (GFSR)",
remark = "This is a nice survey of some popular random number
generators, with discussions of their parameters,
periods, and why they fail in some Monte Carlo
simulations.",
xxnote = "Check pages: out of bookpages range??",
}
@Article{Kandiraju:2002:CTB,
author = "Gokul B. Kandiraju and Anand Sivasubramaniam",
title = "Characterizing the $d$-{TLB} behavior of {SPEC
CPU2000} benchmarks",
journal = j-SIGMETRICS,
volume = "30",
number = "1",
pages = "129--139",
month = jun,
year = "2002",
CODEN = "????",
DOI = "https://doi.org/10.1145/511334.511351",
ISSN = "0163-5999 (print), 1557-9484 (electronic)",
ISSN-L = "0163-5999",
bibdate = "Thu Jun 26 11:38:22 MDT 2008",
bibsource = "http://portal.acm.org/;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/sigmetrics.bib",
abstract = "Despite the numerous optimization and evaluation
studies that have been conducted with TLBs over the
years, there is still a deficiency in an in-depth
understanding of TLB characteristics from an
application angle. This paper presents a detailed
characterization study of the TLB behavior of the SPEC
CPU2000 benchmark suite. The contributions of this work
are in identifying important application
characteristics for TLB studies, quantifying the
SPEC2000 application behavior for these
characteristics, as well as making pronouncements and
suggestions for future research based on these results.
Around one-fourth of the SPEC2000 applications (ammp,
apsi, galgel, lucas, mcf, twolf and vpr) have
significant TLB missrates. Both capacity and
associativity are influencing factors on miss-rates,
though they do not necessarily go hand-in-hand.
Multi-level TLBs are definitely useful for these
applications in cutting down access times without
significant miss rate degradation. Superpaging to
combine TLB entries may not be rewarding for many of
these applications. Software management of TLBs in
terms of determining what entries to prefetch, what
entries to replace, and what entries to pin has a lot
of potential to cut down miss rates considerably.
Specifically, the potential benefits of prefetching TLB
entries is examined, and Distance Prefetching is shown
to give good prediction accuracy for these
applications.",
acknowledgement = ack-nhfb,
fjournal = "ACM SIGMETRICS Performance Evaluation Review",
journal-URL = "http://portal.acm.org/toc.cfm?id=J618",
}
@Article{Kutz:2002:LBL,
author = "Martin Kutz",
title = "Lower Bounds for {Lucas} Chains",
journal = j-SIAM-J-COMPUT,
volume = "31",
number = "6",
pages = "1896--1908",
month = dec,
year = "2002",
CODEN = "SMJCAT",
DOI = "https://doi.org/10.1137/S0097539700379255",
ISSN = "0097-5397 (print), 1095-7111 (electronic)",
ISSN-L = "0097-5397",
bibdate = "Wed Aug 20 06:43:28 MDT 2003",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toclist/SICOMP/31/6;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/siamjcomput.bib",
URL = "http://epubs.siam.org/sam-bin/dbq/article/37925",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Computing",
journal-URL = "http://epubs.siam.org/sicomp",
}
@Article{MacKinnon:2002:FTP,
author = "Nick MacKinnon and Stephen M. {Gagola, Jr.}",
title = "{Fibonacci} Twin Primes: 10844",
journal = j-AMER-MATH-MONTHLY,
volume = "109",
number = "1",
pages = "78--78",
month = jan,
year = "2002",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jan 30 12:00:14 MST 2012",
bibsource = "http://www.jstor.org/journals/00029890.html;
http://www.jstor.org/stable/i346011;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly2000.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.jstor.org/stable/2695779",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Marsaglia:2002:SDP,
author = "George Marsaglia and Wai Wan Tsang",
title = "Some Difficult-to-Pass Tests of Randomness",
journal = j-J-STAT-SOFT,
volume = "7",
number = "3",
pages = "1--8",
month = "????",
year = "2002",
CODEN = "JSSOBK",
ISSN = "1548-7660",
bibdate = "Sun Nov 17 22:35:43 2002",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/marsaglia-george.bib;
https://www.math.utah.edu/pub/tex/bib/cryptography2000.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jstatsoft.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstatsoft.org/v07/i03;
http://www.jstatsoft.org/v07/i03/tuftests.c;
http://www.jstatsoft.org/v07/i03/tuftests.pdf;
http://www.jstatsoft.org/v07/i03/updates",
abstract = "We describe three tests of randomness --- tests that
many random number generators fail. In particular, all
congruential generators --- even those based on a prime
modulus --- fail at least one of the tests, as do many
simple generators, such as shift register and lagged
Fibonacci. On the other hand, generators that pass the
three tests seem to pass all the tests in the Diehard
Battery of Tests.\par
Note that these tests concern the randomness of a
generator's output as a sequence of independent,
uniform 32-bit integers. For uses where the output is
converted to uniform variates in $ [0, 1) $, potential
flaws of the output as integers will seldom cause
problems after the conversion. Most generators seem to
be adequate for producing a set of uniform reals in $
[0, 1) $, but several important applications. notably
in cryptography and number theory --- for example,
establishing probable primes, complexity of factoring
algorithms, random partitions of large integers --- may
require satisfactory performance on the kinds of tests
we describe here.",
acknowledgement = ack-nhfb,
fjournal = "Journal of Statistical Software",
journal-URL = "http://www.jstatsoft.org/",
}
@Article{Miller:2002:FLE,
author = "Carl Miller and Donald E. Knuth",
title = "A {Fibonacci--Lucas} Extremum: 10825",
journal = j-AMER-MATH-MONTHLY,
volume = "109",
number = "8",
pages = "762--763",
month = oct,
year = "2002",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jan 30 12:00:16 MST 2012",
bibsource = "http://www.jstor.org/journals/00029890.html;
http://www.jstor.org/stable/i355031;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly2000.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.jstor.org/stable/3072414",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Miura:2002:LPC,
author = "Nobuo Miura",
title = "{Leonardo of Pisa} and cubic equations",
journal = "S{\=u}rikaisekikenky{\=u}sho K{\=o}ky{\=u}roku",
number = "1257",
pages = "37--47",
year = "2002",
MRclass = "01A35",
MRnumber = "1929347",
bibdate = "Thu Jan 31 06:27:48 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "Study of the history of mathematics (Japanese) (Kyoto,
2001)",
acknowledgement = ack-nhfb,
fjournal = "S{\=u}rikaisekikenky{\=u}sho K{\=o}ky{\=u}roku",
}
@Book{Pisano:2002:FBA,
author = "Leonardo Pisano",
title = "{Fibonacci}'s {{\booktitle{Liber abaci}}}",
publisher = pub-SV,
address = pub-SV:adr,
pages = "viii + 636",
year = "2002",
ISBN = "0-387-95419-8",
ISBN-13 = "978-0-387-95419-6",
MRclass = "01A35",
MRnumber = "1923794 (2003f:01011)",
MRreviewer = "Warren Van Egmond",
bibdate = "Thu Jan 31 06:59:23 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "A translation into modern English of Leonardo Pisano's
{{\i}t Book of calculation}, Translated from the Latin
and with an introduction, notes and bibliography by L.
E. Sigler",
series = "Sources and Studies in the History of Mathematics and
Physical Sciences",
acknowledgement = ack-nhfb,
}
@Article{Rossi:2002:WFS,
author = "Corinna Rossi and Christopher A. Tout",
title = "Were the {Fibonacci} Series and the {Golden Section}
Known in {Ancient Egypt}?",
journal = j-HIST-MATH,
volume = "29",
number = "2",
pages = "101--113",
month = may,
year = "2002",
CODEN = "HIMADS",
ISSN = "0315-0860 (print), 1090-249X (electronic)",
ISSN-L = "0315-0860",
bibdate = "Wed Jun 26 06:20:06 MDT 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/histmath.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0315086001923341",
acknowledgement = ack-nhfb,
fjournal = "Historia Mathematica",
journal-URL = "http://www.sciencedirect.com/science/journal/03150860",
}
@Article{Aissani:2003:MCS,
author = "Djamil Aissani and Dominique Valerian",
title = "Math{\'e}matiques, commerce et soci{\'e}t{\'e} {\`a}
{B{\'e}ja{\"\i}a} ({Bugia}) au moment du s{\'e}jour de
{Leonardo Fibonacci} {XII}$^{\rm e}$--{XIII}$^{\rm e}$
si{\`e}cles",
journal = j-BOLL-STOR-SCI-MAT,
volume = "23",
number = "2",
pages = "9--31 (2005)",
year = "2003",
ISSN = "0392-4432 (print), 1724-1650 (electronic)",
ISSN-L = "0392-4432",
MRclass = "01A60 (01A30 01A70)",
MRnumber = "2156623 (2006d:01015)",
MRreviewer = "Julio Sams{\'o}",
bibdate = "Thu Jan 31 06:27:48 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "Leonardo Fibonacci. Matematica e societa nel
Mediterraneo nel secolo XIII. Vol. I",
acknowledgement = ack-nhfb,
fjournal = "Bollettino di Storia delle Scienze Matematiche",
}
@Article{Broughan:2003:ATR,
author = "Kevin A. Broughan",
title = "Adic Topologies for the Rational Integers",
journal = j-CAN-J-MATH,
volume = "55",
number = "??",
pages = "711--723",
month = "????",
year = "2003",
CODEN = "CJMAAB",
DOI = "https://doi.org/10.4153/CJM-2003-030-3",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:11 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v55/;
https://www.math.utah.edu/pub/tex/bib/canjmath2000.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
abstract = "A topology on \mathbb{Z}, which gives a nice proof
that the set of prime integers is infinite, is
characterised and examined. It is found to be
homeomorphic to \mathbb{Q}, with a compact completion
homeomorphic to the Cantor set. It has a natural place
in a family of topologies on \mathbb{Z}, which includes
the p-adics, and one in which the set of rational
primes \mathbb{P} is dense. Examples from number theory
are given, including the primes and squares, Fermat
numbers, Fibonacci numbers and k-free numbers.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Canessa:2003:TAFa,
author = "Enrique Canessa",
title = "Theory of Analogous Force on Number Sets",
journal = "ArXiv e-prints",
year = "2003",
bibdate = "Mon Nov 21 06:56:01 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/benfords-law.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://arxiv.org/abs/cond-mat/0307703",
abstract = "A general statistical thermodynamic theory that
considers given sequences of $x$-integers to play the
role of particles of known type in an isolated elastic
system is proposed. By also considering some explicit
discrete probability distributions $ p_x $ for natural
numbers, we claim that they lead to a better
understanding of probabilistic laws associated with
number theory. Sequences of numbers are treated as the
size measure of finite sets. By considering $ p_x $ to
describe complex phenomena, the theory leads to derive
a distinct analogous force $ f_x $ on number sets
proportional to $ (\frac {\partial p_x}{\partial x})_T
$ at an analogous system temperature $T$. In
particular, this yields to an understanding of the
uneven distribution of integers of random sets in terms
of analogous scale invariance and a screened inverse
square force acting on the significant digits. The
theory also allows to establish recursion relations to
predict sequences of Fibonacci numbers and to give an
answer to the interesting theoretical question of the
appearance of the Benford's law in Fibonacci numbers. A
possible relevance to prime numbers is also analyzed.",
acknowledgement = ack-nhfb,
remark = "To appear in Phys. A.",
}
@Article{Canessa:2003:TAFb,
author = "Enrique Canessa",
title = "Theory of analogous force on number sets",
journal = j-PHYSICA-A,
volume = "328",
number = "1--2",
pages = "44--52",
month = oct,
year = "2003",
CODEN = "PHYADX",
DOI = "https://doi.org/10.1016/S0378-4371(03)00526-0",
ISSN = "0378-4371 (print), 1873-2119 (electronic)",
ISSN-L = "0378-4371",
bibdate = "Tue Nov 22 11:28:19 MST 2011",
bibsource = "http://www.sciencedirect.com/;
https://www.math.utah.edu/pub/tex/bib/benfords-law.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0378437103005260",
abstract = "A general statistical thermodynamic theory that
considers given sequences of $x$-integers to play the
role of particles of known type in an isolated elastic
system is proposed. By also considering some explicit
discrete probability distributions $ p_x $ for natural
numbers, we claim that they lead to a better
understanding of probabilistic laws associated with
number theory. Sequences of numbers are treated as the
size measure of finite sets. By considering $ p_x $ to
describe complex phenomena, the theory leads to derive
a distinct analogous force $ f_x $ on number sets
proportional to $ (\partial p_x / \partial x)T $ at an
analogous system temperature $T$. In particular, this
leads to an understanding of the uneven distribution of
integers of random sets in terms of analogous scale
invariance and a screened inverse square force acting
on the significant digits. The theory also allows to
establish recursion relations to predict sequences of
Fibonacci numbers and to give an answer to the
interesting theoretical question of the appearance of
the Benford's law in Fibonacci numbers. A possible
relevance to prime numbers is also analyzed.",
acknowledgement = ack-nhfb,
fjournal = "Physica A: Statistical Mechanics and its
Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/03784371",
keywords = "Benford's Law; Fibonacci numbers; prime numbers",
}
@Article{Dikici:2003:AFS,
author = "Ramazan Dikici and Engin {\"O}zkan",
title = "An application of {Fibonacci} sequences in groups",
journal = j-APPL-MATH-COMP,
volume = "136",
number = "2--3",
pages = "323--331",
day = "15",
month = mar,
year = "2003",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Fri Jan 9 08:40:52 MST 2004",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@Article{Franci:2003:LFT,
author = "Raffaella Franci",
title = "{Leonardo Fibonacci} and treatises on the abacus in
{Italy} in the fourteenth and fifteenth centuries",
journal = j-BOLL-STOR-SCI-MAT,
volume = "23",
number = "2, Leonardo Fibonacci. Matematica e societa nel
Mediterraneo nel secolo XIII. Vol. I",
pages = "33--54 (2005)",
year = "2003",
ISSN = "0392-4432 (print), 1724-1650 (electronic)",
ISSN-L = "0392-4432",
MRclass = "01A35 (01A40)",
MRnumber = "2156624 (2006c:01006)",
MRreviewer = "Warren Van Egmond",
bibdate = "Thu Jan 31 06:27:48 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Bollettino di Storia delle Scienze Matematiche",
}
@Article{Karaduman:2003:GSF,
author = "Erdal Karaduman and H{\"u}seyin Ayd{\i}n",
title = "General $2$-step {Fibonacci} sequences in nilpotent
groups of exponent $p$ and nilpotency class $4$",
journal = j-APPL-MATH-COMP,
volume = "141",
number = "2--3",
pages = "491--497",
day = "5",
month = sep,
year = "2003",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Fri Jan 9 08:41:03 MST 2004",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@Article{Karaduman:2003:PFS,
author = "Erdal Karaduman and U{\u{g}}ur Yavuz",
title = "On the period of {Fibonacci} sequences in nilpotent
groups",
journal = j-APPL-MATH-COMP,
volume = "142",
number = "2--3",
pages = "321--332",
day = "10",
month = oct,
year = "2003",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Fri Jan 9 08:41:06 MST 2004",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@Article{Lee:2003:LAF,
author = "Gwang-Yeon Lee and Jin-Soo Kim",
title = "The linear algebra of the $k$-{Fibonacci} matrix",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "373",
number = "1",
pages = "75--87",
day = "1",
month = nov,
year = "2003",
CODEN = "LAAPAW",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibdate = "Tue Sep 16 08:20:05 MDT 2003",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795",
}
@Article{Margenstern:2003:FTC,
author = "M. Margenstern and G. Skordev",
title = "{Fibonacci} Type Coding for the Regular Rectangular
Tilings of the Hyperbolic Plane",
journal = j-J-UCS,
volume = "9",
number = "5",
pages = "398--422",
day = "28",
month = may,
year = "2003",
CODEN = "????",
ISSN = "0948-6968",
ISSN-L = "0948-6968",
bibdate = "Tue Dec 16 10:06:13 MST 2003",
bibsource = "http://www.jucs.org/jucs;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.jucs.org/jucs_9_5/fibonacci_type_coding_for",
acknowledgement = ack-nhfb,
fjournal = "J.UCS: Journal of Universal Computer Science",
journal-URL = "http://www.jucs.org/jucs",
}
@Article{Mitzenmacher:2003:BHG,
author = "Michael Mitzenmacher",
title = "A Brief History of Generative Models for Power Law and
Lognormal Distributions",
journal = j-INTERNET-MATH,
volume = "1",
number = "2",
pages = "226--251",
month = dec,
year = "2003",
CODEN = "????",
DOI = "https://doi.org/10.1080/15427951.2004.10129088",
ISSN = "1542-7951 (print), 1944-9488 (electronic)",
ISSN-L = "1542-7951",
bibdate = "Thu Nov 24 13:38:13 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/benfords-law.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://projecteuclid.org/euclid.im/1089229510;
http://www.eecs.harvard.edu/~michaelm/CS223/powerlaw.pdf;
http://www.tandfonline.com/toc/uinm20/1/2",
acknowledgement = ack-nhfb,
ajournal = "Internet Math.",
fjournal = "Internet Mathematics",
journal-URL = "http://projecteuclid.org/info/euclid.im",
keywords = "Fibonacci sequence; lognormal distribution; monkeys
typing randomly; Pareto distribution; power-law
distribution; Yule distribution; Zipf's Law",
remark = "This is a survey article with a six-page bibliography
of earlier work, and a clear description of the
differences between lognormal and power-law
distributions, which otherwise look similar on log-log
plots. Lognormal distributions have finite means and
moments, while power-law distributions may have
infinite means and/or moments, depending on the
exponent. The preprint at author's Web site (last URL)
contains additional material on the acrimonious debate
between Beno{\^\i}t Mandelbrot and Herbert A. Simon
(see \cite{Mandelbrot:1959:NCS,Simon:1955:CSD}, and
other references in Mitzenmacher's paper) on the
derivation and modeling of Zipf's Law distributions.",
}
@Article{Ozkan:2003:AFS,
author = "Engin {\"O}zkan and H{\"u}seyin Ayd{\i}n and Ramazan
Dikici",
title = "Applications of {Fibonacci} sequences in a finite
nilpotent group",
journal = j-APPL-MATH-COMP,
volume = "141",
number = "2--3",
pages = "565--578",
day = "5",
month = sep,
year = "2003",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Fri Jan 9 08:41:03 MST 2004",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@Article{Ozkan:2003:SFSa,
author = "Engin {\"O}zkan and H{\"u}seyin Ayd{\i}n and Ramazan
Dikici",
title = "$3$-Step {Fibonacci} series modulo $m$",
journal = j-APPL-MATH-COMP,
volume = "143",
number = "1",
pages = "165--172",
day = "20",
month = oct,
year = "2003",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Fri Jan 9 08:41:07 MST 2004",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@Article{Ozkan:2003:SFSb,
author = "Engin {\"O}zkan",
title = "$3$-Step {Fibonacci} sequences in nilpotent groups",
journal = j-APPL-MATH-COMP,
volume = "144",
number = "2--3",
pages = "517--527",
day = "10",
month = dec,
year = "2003",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Fri Jan 9 08:41:09 MST 2004",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@Article{Pepe:2003:LFE,
author = "Luigi Pepe",
title = "{Leonardo Fibonacci} in the eighteenth century",
journal = j-BOLL-STOR-SCI-MAT,
volume = "23",
number = "2",
pages = "75--86 (2005)",
year = "2003",
ISSN = "0392-4432 (print), 1724-1650 (electronic)",
ISSN-L = "0392-4432",
MRclass = "01A50 (01A30 01A70)",
MRnumber = "2156626 (2006j:01009)",
MRreviewer = "Douglas M. Jesseph",
bibdate = "Thu Jan 31 06:27:48 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "Leonardo Fibonacci. Matematica e societa nel
Mediterraneo nel secolo XIII. Vol. I.",
acknowledgement = ack-nhfb,
fjournal = "Bollettino di Storia delle Scienze Matematiche",
}
@Article{Rolfe:2003:SAN,
author = "Timothy J. Rolfe",
title = "Spreadsheet-aided numerical experimentation: analytic
formula for {Fibonacci} numbers",
journal = j-SIGCSE,
volume = "35",
number = "2",
pages = "117--119",
month = jun,
year = "2003",
CODEN = "SIGSD3",
DOI = "https://doi.org/10.1145/782941.782995",
ISSN = "0097-8418 (print), 2331-3927 (electronic)",
ISSN-L = "0097-8418",
bibdate = "Sat Nov 17 16:57:02 MST 2012",
bibsource = "DBLP;
http://dblp.uni-trier.de/db/journals/sigcse/sigcse35.html#Rolfe03;
http://portal.acm.org/;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/sigcse2000.bib",
URL = "ftp://ftp.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Misc/DBLP/2003.bib",
abstract = "Spreadsheet representations of recurrences allow
numerical experimentation with potential analytic
solutions to those recurrences. This paper uses a very
simple recurrence for which the analytic solution is
quite obvious when one examines the values generated by
the recurrence, and then examines another recurrence
for which the solution is not obvious.",
acknowledgement = ack-nhfb,
fjournal = "SIGCSE Bulletin (ACM Special Interest Group on
Computer Science Education)",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J688",
}
@Article{Taher:2003:MPE,
author = "Rajae Ben Taher and Mustapha Rachidi",
title = "On the matrix powers and exponential by the
$r$-generalized {Fibonacci} sequences methods: the
companion matrix case",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "370",
number = "1",
pages = "341--353",
day = "1",
month = sep,
year = "2003",
CODEN = "LAAPAW",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibdate = "Tue Sep 16 08:20:03 MDT 2003",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795",
}
@Article{Yildiz:2003:FSM,
author = "B{\"u}nyamin Yildiz and Erdal Karaduman",
title = "On {Fibonacci} search method with {$k$-Lucas}
numbers",
journal = j-APPL-MATH-COMP,
volume = "143",
number = "2--3",
pages = "523--531",
day = "10",
month = nov,
year = "2003",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Fri Jan 9 08:41:07 MST 2004",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "See comment \cite{Kahya:2005:CTF}.",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@Article{Anonymous:2004:EFC,
author = "Anonymous",
title = "Errata for 2004: {Fibonacci} in Complex Camouflage:
10858",
journal = j-AMER-MATH-MONTHLY,
volume = "111",
number = "10",
pages = "922--922",
month = dec,
year = "2004",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jan 30 12:00:20 MST 2012",
bibsource = "http://www.jstor.org/journals/00029890.html;
http://www.jstor.org/stable/i387723;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly2000.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "See errata \cite{Knuth:2004:FCC}.",
URL = "http://www.jstor.org/stable/4145117",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Astola:2004:FAE,
author = "J. T. Astola and K. Egiazarian and M. Stankovi{\'c}
and R. S. Stankovi{\'c}",
title = "{Fibonacci} Arithmetic Expressions",
journal = j-AUTOMATION-REMOTE-CTL,
volume = "65",
number = "6",
pages = "842--856",
month = jun,
year = "2004",
CODEN = "AURCAT",
ISSN = "0005-1179 (print), 1608-3032 (electronic)",
ISSN-L = "0005-1179",
bibdate = "Thu Aug 07 19:27:43 2008",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
abstract = "In this paper, we extend the arithmetic (AR)
expressions for functions on finite dyadic groups to
functions used in Fibonacci interconnection topologies.
We have introduced the Fibonacci-Arithmetic (FibAR)
expressions for representation of these functions. We
discussed the optimization of FibARs with respect to
the number of non-zero coefficients through the
Fixed-Polarity FibARs defined by using different
polarities for the Fibonacci variables. In this way, we
provide a base to extend the application of ARs and
related powerful CAD design tools for switching
functions to functions in Fibonacci interconnection
topologies.",
acknowledgement = ack-nhfb,
fjournal = "Automation and Remote Control",
}
@Misc{Beebe:2004:JPF,
author = "Nelson H. F. Beebe",
title = "{Java} programming: Fun with {Fibonacci}",
howpublished = "World-Wide Web document.",
month = mar,
year = "2004",
bibdate = "Wed Nov 09 18:11:32 2005",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/beebe-nelson-h-f.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "This report summarizes the origin of the Fibonacci
sequence, giving the full Latin text from the original
book written in 1202 (not previously available on the
Web). Computation of the Fibonacci sequence, and its
term ratios, is implemented in about 50 different
programming languages. The report comments on the
relative difficulty of the task in some of those
languages, and on their suitability for numerical
computation. It also provides a complete floating-point
formatted output package for Java.",
URL = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/~beebe/software/java/fibonacci/index.html",
acknowledgement = ack-nhfb,
}
@Article{Berrizbeitia:2004:BRL,
author = "Pedro Berrizbeitia and T. G. Berry",
title = "Biquadratic reciprocity and a {Lucasian} primality
test",
journal = j-MATH-COMPUT,
volume = "73",
number = "247",
pages = "1559--1564",
month = jul,
year = "2004",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Wed Aug 11 08:23:07 MDT 2004",
bibsource = "http://www.ams.org/mcom/2004-73-247;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.ams.org/mcom/2004-73-247/S0025-5718-03-01575-8/home.html;
http://www.ams.org/mcom/2004-73-247/S0025-5718-03-01575-8/S0025-5718-03-01575-8.dvi;
http://www.ams.org/mcom/2004-73-247/S0025-5718-03-01575-8/S0025-5718-03-01575-8.pdf;
http://www.ams.org/mcom/2004-73-247/S0025-5718-03-01575-8/S0025-5718-03-01575-8.ps;
http://www.ams.org/mcom/2004-73-247/S0025-5718-03-01575-8/S0025-5718-03-01575-8.tex",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Edson:2004:RPI,
author = "Marcia Edson and Luca Q. Zamboni",
title = "On representations of positive integers in the
{Fibonacci} base",
journal = j-THEOR-COMP-SCI,
volume = "326",
number = "1--3",
pages = "241--260",
day = "20",
month = oct,
year = "2004",
CODEN = "TCSCDI",
ISSN = "0304-3975 (print), 1879-2294 (electronic)",
ISSN-L = "0304-3975",
bibdate = "Thu Nov 4 10:19:19 MST 2004",
bibsource = "http://www.sciencedirect.com/science/journal/03043975;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Theoretical Computer Science",
journal-URL = "http://www.sciencedirect.com/science/journal/03043975/",
}
@Article{Folkerts:2004:LFK,
author = "Menso Folkerts",
title = "{Leonardo Fibonacci}'s knowledge of {Euclid}'s
{{\booktitle{Elements}}} and of other mathematical
texts",
journal = j-BOLL-STOR-SCI-MAT,
volume = "24",
number = "1",
pages = "93--113 (2005)",
year = "2004",
ISSN = "0392-4432 (print), 1724-1650 (electronic)",
ISSN-L = "0392-4432",
MRclass = "01A40 (01A70)",
MRnumber = "2163493 (2006f:01010)",
MRreviewer = "Doru {\c{S}}tef{\u{a}}nescu",
bibdate = "Thu Jan 31 06:27:48 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "Leonardo Fibonacci. Matematica e societa nel
Mediterraneo nel secolo XIII. Vol. II.",
acknowledgement = ack-nhfb,
fjournal = "Bollettino di Storia delle Scienze Matematiche",
}
@InCollection{Giusti:2004:LFM,
author = "Enrico Giusti",
booktitle = "Mathematics, culture and society. 2003 ({Italian})",
title = "{Leonardo Fibonacci} and the mathematical renaissance
in the {West}",
publisher = "Scuola Norm. Sup.",
address = "Pisa",
pages = "1--17",
year = "2004",
MRclass = "01A35",
MRnumber = "2094081 (2005e:01008)",
bibdate = "Thu Jan 31 06:27:48 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
series = "Pubbl. Cent. Ric. Mat. Ennio Giorgi",
acknowledgement = ack-nhfb,
}
@Article{Johnson:2004:TFS,
author = "L. F. Johnson",
title = "{Tumble}, a fast simple iteration algorithm for
{Fibonacci}",
journal = j-INFO-PROC-LETT,
volume = "89",
number = "4",
pages = "187--189",
day = "28",
month = feb,
year = "2004",
CODEN = "IFPLAT",
ISSN = "0020-0190 (print), 1872-6119 (electronic)",
ISSN-L = "0020-0190",
bibdate = "Mon Jan 26 08:44:34 MST 2004",
bibsource = "http://www.sciencedirect.com/science/journal/00200190;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Information Processing Letters",
journal-URL = "http://www.sciencedirect.com/science/journal/00200190",
}
@Article{Karaduman:2004:AFN,
author = "Erdal Karaduman",
title = "An application of {Fibonacci} numbers in matrices",
journal = j-APPL-MATH-COMP,
volume = "147",
number = "3",
pages = "903--908",
day = "16",
month = jan,
year = "2004",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Fri Jan 9 08:41:17 MST 2004",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@Article{Knuth:2004:FCC,
author = "Donald E. Knuth and Robin Chapman",
title = "{Fibonacci} in Complex Camouflage: 10858",
journal = j-AMER-MATH-MONTHLY,
volume = "111",
number = "2",
pages = "166--167",
month = feb,
year = "2004",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jan 30 12:00:20 MST 2012",
bibsource = "http://www.jstor.org/journals/00029890.html;
http://www.jstor.org/stable/i387715;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly2000.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "See errata \cite{Anonymous:2004:EFC}.",
URL = "http://www.jstor.org/stable/4145227",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Mascagni:2004:PPM,
author = "Michael Mascagni and Ashok Srinivasan",
title = "Parameterizing parallel multiplicative
lagged-{Fibonacci} generators",
journal = j-PARALLEL-COMPUTING,
volume = "30",
number = "7",
pages = "899--916",
month = jul,
year = "2004",
CODEN = "PACOEJ",
ISSN = "0167-8191 (print), 1872-7336 (electronic)",
ISSN-L = "0167-8191",
bibdate = "Sun Nov 7 05:53:53 MST 2004",
bibsource = "http://www.sciencedirect.com/science/journal/01678191;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Parallel Computing",
journal-URL = "http://www.sciencedirect.com/science/journal/01678191",
}
@Article{Reiter:2004:VFD,
author = "Clifford A. Reiter",
title = "Views of {Fibonacci} dynamics",
journal = j-COMPUTERS-AND-GRAPHICS,
volume = "28",
number = "2",
pages = "297--300",
month = apr,
year = "2004",
CODEN = "COGRD2",
ISSN = "0097-8493 (print), 1873-7684 (electronic)",
ISSN-L = "0097-8493",
bibdate = "Thu Jul 14 18:00:18 MDT 2005",
bibsource = "http://www.sciencedirect.com/science/journal/00978493;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Computers and Graphics",
journal-URL = "http://www.sciencedirect.com/science/journal/00978493",
}
@Article{Subasi:2004:IFS,
author = "Murat Subasi and Necmettin Yildirim and B{\"u}nyamin
Yildiz",
title = "An improvement on {Fibonacci} search method in
optimization theory",
journal = j-APPL-MATH-COMP,
volume = "147",
number = "3",
pages = "893--901",
day = "16",
month = jan,
year = "2004",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Fri Jan 9 08:41:17 MST 2004",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "See comment \cite{Kahya:2006:CTI}.",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@InProceedings{Swinton:2004:WDG,
author = "Jonathan Swinton",
title = "Watching the Daisies Grow: {Turing} and {Fibonacci}
Phyllotaxis",
crossref = "Teuscher:2004:ATL",
pages = "477--498",
year = "2004",
bibdate = "Fri Nov 29 15:46:55 2013",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/turing-alan-mathison.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
}
@Article{Tasci:2004:OGL,
author = "Dursun Tasci and Emrah Kilic",
title = "On the order-$k$ generalized {Lucas} numbers",
journal = j-APPL-MATH-COMP,
volume = "155",
number = "3",
pages = "637--641",
day = "16",
month = aug,
year = "2004",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Mon Jul 4 09:15:34 MDT 2005",
bibsource = "http://www.sciencedirect.com/science/journal/00963003;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@InProceedings{Tsang:2004:TCT,
author = "W. W. Tsang and C. F. Chong and K. P. Chow and L. C.
K. Hui and C. W. Tso",
editor = "Vladimir Estivill-Castro",
booktitle = "{Proceedings of the Twenty-Seventh Australasian
Computer Science Conference (ACSC2004) Dunedin, NZ,
January 2004}",
title = "Tuning the Collision Test for Power",
volume = "26",
publisher = "Australian Computer Society",
address = "Sydney, Australia",
bookpages = "xvi + 388",
pages = "23--30",
year = "2004",
ISBN = "1-920682-05-8",
ISBN-13 = "978-1-920682-05-7",
LCCN = "QA75.5 .A88 2004",
bibdate = "Mon Mar 5 22:02:35 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
series = "Conferences in research and practice in information
technology",
abstract = "The collision test is an important statistical test
for rejecting poor random number generators. The test
simulates the throwing of balls randomly into urns. A
problem in applying this test is to determine the
number of urns, $m$, and the number of balls, $n$, so
that the test is among the most powerful possible on a
computer. The problem was tackled empirically. A set of
canonical congruential generators with increasing
periods was first implemented. The stringency of a test
against congruential generators is measured as the
number of canonical generators the test rejects.
Experiments were then conducted to measure the
stringencies of the collision tests for various $ (m,
n) $ values. The results reveal that for a fixed $m$,
the stringency of a test reaches maximum when $ m < n 2
m $. Moreover, the stringency increases as $m$
increases. Similar results were observed when the
experiments were repeated on lagged Fibonacci
generators and on shift-register generators. Further
investigation showed that the variance of the number of
collisions reaches maximum together with the
stringencies, at $ n = |1.256431 m| $. Eighteen
well-known generators were tested against the collision
tests with $ m = ?, ?, ?? $, up to ??. Many generators
failed starting from some points along the way,
including congruential generators, shift-register
generators, lagged Fibonacci generators of lags less
than 40, subtract-with-borrow generators of lags less
than 24, and a combined generator.",
acknowledgement = ack-nhfb,
}
@Article{Aharonov:2005:FCO,
author = "Dov Aharonov and Alan Beardon and Kathy Driver",
title = "{Fibonacci}, {Chebyshev}, and Orthogonal Polynomials",
journal = j-AMER-MATH-MONTHLY,
volume = "112",
number = "7",
pages = "612--630",
month = aug # "\slash " # sep,
year = "2005",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jan 30 12:00:24 MST 2012",
bibsource = "http://www.jstor.org/journals/00029890.html;
http://www.jstor.org/stable/i30037542;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly2000.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.jstor.org/stable/30037546",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Antzoulakos:2005:CPR,
author = "Demetrios L. Antzoulakos and Markos V. Koutras",
title = "On a class of polynomials related to classical
orthogonal and {Fibonacci} polynomials with probability
applications",
journal = j-J-STAT-PLANN-INFERENCE,
volume = "135",
number = "1",
pages = "18--39",
month = nov,
year = "2005",
CODEN = "JSPIDN",
DOI = "https://doi.org/10.1016/S0378-3758(05)00052-2",
ISSN = "0378-3758 (print), 1873-1171 (electronic)",
ISSN-L = "0378-3758",
bibdate = "Sat Jun 29 12:00:22 MDT 2019",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jstatplanninference2000.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0378375805000522",
acknowledgement = ack-nhfb,
fjournal = "Journal of Symbolic Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/03783758",
}
@Article{Baril:2005:MCL,
author = "Jean-Luc Baril and Vincent Vajnovszki",
title = "Minimal change list for {Lucas} strings and some graph
theoretic consequences",
journal = j-THEOR-COMP-SCI,
volume = "346",
number = "2--3",
pages = "189--199",
day = "28",
month = nov,
year = "2005",
CODEN = "TCSCDI",
ISSN = "0304-3975 (print), 1879-2294 (electronic)",
ISSN-L = "0304-3975",
bibdate = "Tue Mar 29 06:48:51 MDT 2011",
bibsource = "http://www.sciencedirect.com/science/journal/03043975;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Theoretical Computer Science",
journal-URL = "http://www.sciencedirect.com/science/journal/03043975/",
}
@Article{Bruin:2005:CFL,
author = "H. Bruin and O. Volkova",
title = "The complexity of {Fibonacci}-like kneading
sequences",
journal = j-THEOR-COMP-SCI,
volume = "337",
number = "1--3",
pages = "379--389",
day = "9",
month = jun,
year = "2005",
CODEN = "TCSCDI",
ISSN = "0304-3975 (print), 1879-2294 (electronic)",
ISSN-L = "0304-3975",
bibdate = "Thu Jul 7 14:28:19 MDT 2005",
bibsource = "http://www.sciencedirect.com/science/journal/03043975;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Theoretical Computer Science",
journal-URL = "http://www.sciencedirect.com/science/journal/03043975/",
}
@Article{Callaghan:2005:BFM,
author = "Joseph Callaghan and John J. {Chew III} and Stephen M.
Tanny",
title = "On the Behavior of a Family of Meta-{Fibonacci}
Sequences",
journal = j-SIAM-J-DISCR-MATH,
volume = "18",
number = "4",
pages = "794--824",
year = "2005",
CODEN = "SJDMEC",
DOI = "https://doi.org/10.1137/S0895480103421397",
ISSN = "0895-4801 (print), 1095-7146 (electronic)",
ISSN-L = "0895-4801",
bibdate = "Thu Dec 29 09:15:51 MST 2005",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toclist/SIDMA/18/4;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/siamjdiscrmath.bib",
URL = "http://epubs.siam.org/sam-bin/dbq/article/42139",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Discrete Mathematics",
journal-URL = "http://epubs.siam.org/sidma",
}
@Article{Choi:2005:IST,
author = "Gyoung-Sik Choi and Suk-Geun Hwang and Ik-Pyo Kim and
Bryan L. Shader",
title = "$ (\pm 1) $-Invariant sequences and truncated
{Fibonacci} sequences",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "395",
number = "1",
pages = "303--312",
day = "15",
month = jan,
year = "2005",
CODEN = "LAAPAW",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibdate = "Sat May 14 07:59:07 MDT 2005",
bibsource = "http://www.sciencedirect.com/science/journal/00243795;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795",
}
@Article{Chuan:2005:LFI,
author = "Wai-Fong Chuan and Hui-Ling Ho",
title = "Locating factors of the infinite {Fibonacci} word",
journal = j-THEOR-COMP-SCI,
volume = "349",
number = "3",
pages = "429--442",
day = "16",
month = dec,
year = "2005",
CODEN = "TCSCDI",
ISSN = "0304-3975 (print), 1879-2294 (electronic)",
ISSN-L = "0304-3975",
bibdate = "Tue Mar 29 06:48:54 MDT 2011",
bibsource = "http://www.sciencedirect.com/science/journal/03043975;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Theoretical Computer Science",
journal-URL = "http://www.sciencedirect.com/science/journal/03043975/",
}
@TechReport{Giles:2005:BLN,
author = "David E. Giles",
title = "{Benford's Law} and Naturally Occurring Prices in
Certain {ebaY} Auctions",
type = "Econometrics Working Paper",
number = "EWP0505",
institution = "Department of Economics, University of Victoria",
address = "Victoria, BC, Canada",
month = may,
year = "2005",
ISSN = "1485-6441",
bibdate = "Thu Feb 15 16:24:39 2007",
bibsource = "https://www.math.utah.edu/pub/tex/bib/benfords-law.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/fparith.bib",
URL = "http://web.uvic.ca/econ/ewp0505.pdf",
abstract = "We show that certain the winning bids for certain ebaY
auctions obey Benford's Law. One implication of this is
that it is unlikely that these bids are subject to
collusion among bidders, or ``shilling'' on the part of
sellers. Parenthetically, we also show that numbers
from the naturally occurring Fibonacci and Lucas
sequences also obey Benford's Law.",
acknowledgement = ack-nhfb,
keywords = "Benford's Law; Law of Anomalous Numbers; Zipf's Law",
}
@Article{Hoyrup:2005:LFA,
author = "Jens H{\o}yrup",
title = "{Leonardo Fibonacci} and {{\it Abbaco}} culture. {A}
proposal to invert the roles",
journal = j-REV-HIST-MATH,
volume = "11",
number = "1",
pages = "23--56",
year = "2005",
ISSN = "1262-022X (print), 1777-568X (electronic)",
ISSN-L = "1262-022X",
MRclass = "01A35 (01A40)",
MRnumber = "2183028",
MRreviewer = "Klaus Barner",
bibdate = "Wed Mar 28 09:42:44 2018",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/revhistmath.bib",
URL = "http://smf4.emath.fr/Publications/RevueHistoireMath/11/html/smf_rhm_11_23-56.html",
acknowledgement = ack-nhfb,
ajournal = "Rev. Histoire Math.",
fjournal = "Revue d'Histoire des Math{\'e}matiques. Journal for
the History of Mathematics",
journal-URL = "http://smf4.emath.fr/Publications/RevueHistoireMath/",
}
@Article{Kahya:2005:CTF,
author = "Emin Kahya",
title = "Comment on titled {``On Fibonacci search method with
$k$-Lucas numbers''}",
journal = j-APPL-MATH-COMP,
volume = "162",
number = "3",
pages = "1321--1324",
day = "25",
month = mar,
year = "2005",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Mon Jul 4 09:15:42 MDT 2005",
bibsource = "http://www.sciencedirect.com/science/journal/00963003;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "See \cite{Yildiz:2003:FSM}.",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@Article{Karaduman:2005:DMG,
author = "Erdal Karaduman",
title = "On determinants of matrices with general {Fibonacci}
numbers entries",
journal = j-APPL-MATH-COMP,
volume = "167",
number = "1",
pages = "670--676",
day = "5",
month = aug,
year = "2005",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Sat Jul 12 09:02:47 MDT 2008",
bibsource = "http://www.sciencedirect.com/science/journal/00963003;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@Article{Manolopoulos:2005:NRC,
author = "Yannis Manolopoulos",
title = "On the number of recursive calls of recursive
functions",
journal = j-SIGCSE,
volume = "37",
number = "2",
pages = "61--64",
month = jun,
year = "2005",
CODEN = "SIGSD3",
DOI = "https://doi.org/10.1145/1083431.1083465",
ISSN = "0097-8418 (print), 2331-3927 (electronic)",
ISSN-L = "0097-8418",
bibdate = "Sat Nov 17 16:57:18 MST 2012",
bibsource = "DBLP;
http://dblp.uni-trier.de/db/journals/sigcse/sigcse37.html#Manolopoulos05;
http://portal.acm.org/;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/sigcse2000.bib",
URL = "ftp://ftp.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Misc/DBLP/2005.bib",
abstract = "The advantages and disadvantages of recursion are
early introduced to students. Simplicity in coding but
time and space inefficiency during execution are the
main characteristics. In many occasions, recursive
formulae lead to recursive functions/procedures that
are highly inefficient as calls with the same
parameters are executed several times. Here, we
elaborate on a previous report [2], where a generalized
analysis is carried out to derive the number of
recursive calls of a recursive formula, the calculation
of the Fibonacci numbers in particular. Here we
re-examine the problem using a different and simpler
approach, which generalizes as well.",
acknowledgement = ack-nhfb,
fjournal = "SIGCSE Bulletin (ACM Special Interest Group on
Computer Science Education)",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J688",
}
@Article{Newell:2005:PF,
author = "Alan C. Newell and Patrick D. Shipman",
title = "Plants and {Fibonacci}",
journal = j-J-STAT-PHYS,
volume = "121",
number = "5--6",
pages = "937--968",
month = dec,
year = "2005",
CODEN = "JSTPSB",
DOI = "https://doi.org/10.1007/s10955-005-8665-7",
ISSN = "0022-4715 (print), 1572-9613 (electronic)",
ISSN-L = "0022-4715",
bibdate = "Sat Aug 30 12:53:48 MDT 2014",
bibsource = "http://link.springer.com/journal/10955;
http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0022-4715&volume=121&issue=5;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jstatphys2000.bib",
URL = "http://link.springer.com/article/10.1007/s10955-005-8665-7",
acknowledgement = ack-nhfb,
fjournal = "Journal of Statistical Physics",
journal-URL = "http://link.springer.com/journal/10955",
}
@Article{Ocal:2005:RGF,
author = "Ahmet Ali {\"O}cal and Naim Tuglu and Ercan
Altini{\c{s}}ik",
title = "On the representation of $k$-generalized {Fibonacci}
and {Lucas} numbers",
journal = j-APPL-MATH-COMP,
volume = "170",
number = "1",
pages = "584--596",
day = "1",
month = nov,
year = "2005",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Sat Jul 12 09:02:50 MDT 2008",
bibsource = "http://www.sciencedirect.com/science/journal/00963003;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@Article{Solak:2005:NCM,
author = "S{\"u}leyman Solak",
title = "On the norms of circulant matrices with the
{Fibonacci} and {Lucas} numbers",
journal = j-APPL-MATH-COMP,
volume = "160",
number = "1",
pages = "125--132",
day = "5",
month = jan,
year = "2005",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Mon Jul 4 09:15:39 MDT 2005",
bibsource = "http://www.sciencedirect.com/science/journal/00963003;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@Article{Kahya:2006:CTI,
author = "Emin Kahya",
title = "Comment on titled {``An improvement on Fibonacci
search method in optimization theory''}",
journal = j-APPL-MATH-COMP,
volume = "173",
number = "2",
pages = "753--756",
day = "15",
month = feb,
year = "2006",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Sat Jul 12 09:02:53 MDT 2008",
bibsource = "http://www.sciencedirect.com/science/journal/00963003;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "See \cite{Subasi:2004:IFS}.",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@Article{Makover:2006:EPR,
author = "Eran Makover and Jeffrey McGowan",
title = "An elementary proof that random {Fibonacci} sequences
grow exponentially",
journal = j-J-NUMBER-THEORY,
volume = "121",
number = "1",
pages = "40--44",
month = nov,
year = "2006",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/j.jnt.2006.01.002",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Wed Jul 15 08:48:21 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jnumbertheory2000.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0022314X06000229",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
}
@Article{Rytter:2006:SSG,
author = "Wojciech Rytter",
title = "The structure of subword graphs and suffix trees of
{Fibonacci} words",
journal = j-THEOR-COMP-SCI,
volume = "363",
number = "2",
pages = "211--223",
day = "28",
month = oct,
year = "2006",
CODEN = "TCSCDI",
ISSN = "0304-3975 (print), 1879-2294 (electronic)",
ISSN-L = "0304-3975",
bibdate = "Tue Mar 29 08:55:20 MDT 2011",
bibsource = "http://www.sciencedirect.com/science/journal/03043975;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Theoretical Computer Science",
journal-URL = "http://www.sciencedirect.com/science/journal/03043975/",
}
@Article{Spivey:2006:FID,
author = "Michael Z. Spivey",
title = "{Fibonacci} Identities via the Determinant Sum
Property",
journal = j-COLLEGE-MATH-J,
volume = "37",
number = "4",
pages = "286--289",
month = sep,
year = "2006",
CODEN = "????",
DOI = "https://doi.org/10.1080/07468342.2006.11922196",
ISSN = "0746-8342 (print), 1931-1346 (electronic)",
ISSN-L = "0746-8342",
bibdate = "Thu Feb 14 09:54:05 MST 2019",
bibsource = "https://www.math.utah.edu/pub/tex/bib/collegemathj.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.tandfonline.com/doi/abs/10.1080/07468342.2006.11922196",
acknowledgement = ack-nhfb,
fjournal = "College Mathematics Journal",
journal-URL = "https://maa.tandfonline.com/loi/ucmj20;
https://www.jstor.org/journal/collmathj",
onlinedate = "28 Nov 2017",
}
@Article{Taher:2006:FHD,
author = "R. Ben Taher and M. Mouline and Mustapha Rachidi",
title = "{Fibonacci--Horner} decomposition of the matrix
exponential and the fundamental system of solutions",
journal = j-ELECTRON-J-LINEAR-ALGEBRA,
volume = "15",
number = "1",
pages = "178--190",
year = "2006",
CODEN = "????",
ISSN = "1081-3810 (print), 1537-9582 (electronic)",
ISSN-L = "1081-3810",
MRclass = "15A99 (15A18)",
MRnumber = "2223773 (2007c:15045)",
MRreviewer = "Luis Verde-Star",
bibdate = "Tue Sep 16 07:27:40 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/ela.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://repository.uwyo.edu/ela/vol15/iss1/13",
acknowledgement = ack-nhfb,
ajournal = "Electron. J. Linear Algebra",
fjournal = "Electronic Journal of Linear Algebra",
journal-URL = "http://repository.uwyo.edu/ela/",
}
@Book{Crilly:2007:MIY,
author = "A. J. (Tony) Crilly",
title = "50 mathematical ideas you really need to know",
publisher = "Quercus",
address = "London, UK",
edition = "Thirteenth",
pages = "208",
year = "2007",
ISBN = "1-84724-008-9 (UK), 1-84724-147-6 (USA)",
ISBN-13 = "978-1-84724-008-8 (UK), 978-1-84724-147-4 (USA)",
LCCN = "QA39.3 .C75 2007",
bibdate = "Tue May 5 17:17:26 MDT 2015",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/mathgaz2010.bib",
abstract = "Who invented zero? Why 60 seconds in a minute? How big
is infinity? Where do parallel lines meet? And can a
butterfly's wings really cause a storm on the far side
of the world? In 50 Mathematical Ideas You Really Need
to Know, Professor Tony Crilly explains in 50 clear and
concise essays the mathematical concepts - ancient and
modern, theoretical and practical, everyday and
esoteric - that allow us to understand and shape the
world around us. Beginning with zero itself and
concluding with the last great unsolved problem, 50
Mathematical Ideas introduces the origins of
mathematics, from Egyptian fractions to Roman numerals;
explains the near-mystical significance of pi and
primes, Fibonacci numbers and the golden ratio; tells
you the things they didn't at school - what calculus,
statistics and algebra can actually do, and the very
real uses of imaginary numbers; illuminates the big
Ideas of relativity, chaos theory, fractals, genetics
and hyperspace; reveals the unspoken reasoning behind
Sudoku and code cracking, lotteries and gambling, money
management and compound interest; explores the latest
mind-shattering developments, including the solving of
Fermat's last theorem and the million-dollar question
of the Riemann hypothesis. Packed with diagrams,
examples and anecdotes, 50 Mathematical Ideas is the
perfect overview of this often daunting but always
essential subject. For once, mathematics couldn't be
simpler.",
acknowledgement = ack-nhfb,
remark = "{\'I}ndices.",
subject = "Mathematik.",
tableofcontents = "Zero \\
Number systems \\
Fractions \\
Squares and square roots \\
pi \\
e \\
Infinity \\
Imaginary numbers \\
Primes \\
Perfect numbers \\
Fibonacci numbers \\
Golden rectangles \\
Pascal's triangle \\
Algebra \\
Euclid's algorithm \\
Logic \\
Proof \\
Sets \\
Calculus \\
Constructions \\
Triangles \\
Curves \\
Topology \\
Dimension \\
Fractals \\
Chaos \\
The parallel postulate \\
Discrete geometry \\
Graphs \\
The four-colour problem \\
Probability \\
Baye's theory \\
The birthday problem \\
Distributions \\
The normal curve \\
Connecting data \\
Genetics \\
Groups \\
Matrices \\
Codes \\
Advanced counting \\
Magic squares \\
Latin squares \\
Money mathematics \\
The diet problem \\
The travelling salesperson \\
Game theory \\
Relativity \\
Fermat's last theorem \\
The Riemann hypothesis",
}
@Article{Ebeid:2007:ARI,
author = "Nevine Maurice Ebeid and M. Anwar Hasan",
title = "On $ \tau $-adic representations of integers",
journal = j-DESIGNS-CODES-CRYPTOGR,
volume = "45",
number = "3",
pages = "271--296",
month = dec,
year = "2007",
CODEN = "DCCREC",
DOI = "https://doi.org/10.1007/s10623-007-9101-6",
ISSN = "0925-1022 (print), 1573-7586 (electronic)",
ISSN-L = "0925-1022",
MRclass = "11A63",
bibdate = "Wed Jul 9 09:35:48 MDT 2008",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0925-1022&volume=45&issue=3;
https://www.math.utah.edu/pub/tex/bib/designscodescryptogr.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0925-1022&volume=45&issue=3&spage=271",
acknowledgement = ack-nhfb,
fjournal = "Designs, codes, and cryptography",
journal-URL = "http://link.springer.com/journal/10623",
keywords = "Fibonacci number; Koblitz curves; Non-adjacent form;
Randomization algorithms; {\tau}-adic representation",
}
@Article{Giles:2007:BLN,
author = "D. E. Giles",
title = "{Benford's Law} and naturally occurring prices in
certain {eBay} auctions",
journal = j-APPL-ECON-LETT,
volume = "14",
number = "3",
pages = "157--161",
year = "2007",
CODEN = "????",
DOI = "https://doi.org/10.1080/13504850500425667",
ISSN = "1350-4851 (print), 1466-4291 (electronic)",
ISSN-L = "1350-4851",
bibdate = "Wed Nov 16 09:49:53 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/benfords-law.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.tandfonline.com/toc/rael20/current",
acknowledgement = ack-nhfb,
fjournal = "Applied Economics Letters",
journal-URL = "http://www.tandfonline.com/loi/rael20",
keywords = "Benford's Law; Fibonacci sequences; Lucas sequences",
}
@Article{Hannah:2007:FPL,
author = "John Hannah",
title = "False position in {Leonardo of Pisa}'s
{{\booktitle{Liber abbaci}}}",
journal = j-HIST-MATH,
volume = "34",
number = "3",
pages = "306--332",
month = aug,
year = "2007",
CODEN = "HIMADS",
DOI = "https://doi.org/10.1016/j.hm.2006.10.004",
ISSN = "0315-0860 (print), 1090-249X (electronic)",
ISSN-L = "0315-0860",
MRclass = "01A35",
MRnumber = "2337306 (2008d:01010)",
bibdate = "Wed Jun 26 06:20:49 MDT 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/histmath.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0315086006001297",
acknowledgement = ack-nhfb,
fjournal = "Historia Mathematica",
journal-URL = "http://www.sciencedirect.com/science/journal/03150860",
}
@Article{Kilic:2007:GOF,
author = "Emrah Kilic",
title = "The generalized order-$k$ {Fibonacci--Pell} sequence
by matrix methods",
journal = j-J-COMPUT-APPL-MATH,
volume = "209",
number = "2",
pages = "133--145",
day = "15",
month = dec,
year = "2007",
CODEN = "JCAMDI",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
bibdate = "Sat Feb 25 13:13:19 MST 2017",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jcomputapplmath2005.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0377042706006698",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
}
@InProceedings{Klein:2007:FDF,
author = "S. T. Klein",
title = "Fast Decoding of {Fibonacci} Encoded Texts",
crossref = "Storer:2007:DPD",
pages = "388--388",
year = "2007",
DOI = "https://doi.org/10.1109/DCC.2007.38",
bibdate = "Tue Feb 5 08:56:13 MST 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/datacompression.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4148789",
acknowledgement = ack-nhfb,
}
@Article{Kwong:2007:TDF,
author = "Harris Kwong",
title = "Two determinants with {Fibonacci} and {Lucas}
entries",
journal = j-APPL-MATH-COMP,
volume = "194",
number = "2",
pages = "568--571",
day = "15",
month = dec,
year = "2007",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Sat Jul 12 09:03:09 MDT 2008",
bibsource = "http://www.sciencedirect.com/science/journal/00963003;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@InBook{Lim:2007:MCA,
author = "Chjan Lim and Joseph Nebus",
booktitle = "Vorticity, Statistical Mechanics, and {Monte Carlo}
Simulation",
title = "The {Monte Carlo} Approach",
chapter = "4",
publisher = pub-SV,
address = pub-SV:adr,
bookpages = "xiv + 290",
pages = "51--65",
year = "2007",
DOI = "https://doi.org/10.1007/978-0-387-49431-9_4",
ISBN = "0-387-35075-6, 0-387-49431-6 (e-book)",
ISBN-13 = "978-0-387-35075-2, 978-0-387-49431-9 (e-book)",
LCCN = "QA911 .L466 2007",
bibdate = "Sat Dec 24 07:48:00 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
keywords = "add-with-carry generator; combined generator;
Fibonacci generator; inversive congruential generator;
linear congruential generator; multiple recursive
generator; subtract-with-carry generator",
tableofcontents = "Introduction \\
Probability \\
Statistical mechanics \\
The Monte Carlo approach \\
Spectral methods \\
Discrete models in fluids \\
Spin-lattice models \\
Monte Carlo simulations \\
Polyhedra and ground states \\
Mesh generation \\
Statistical mechanics for a vortex gas \\
Two-layer quasi-geostrophic models \\
A coupled barotropic flow-rotating solid sphere
system",
}
@Article{McIntosh:2007:SFW,
author = "Richard J. McIntosh and Eric L. Roettger",
title = "A search for {Fibonacci--Wieferich} and {Wolstenholme}
primes",
journal = j-MATH-COMPUT,
volume = "76",
number = "260",
pages = "2087--2094",
month = oct,
year = "2007",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Tue Jul 8 06:24:24 MDT 2008",
bibsource = "http://www.ams.org/mcom/2007-76-260;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.ams.org/mcom/2007-76-260/S0025-5718-07-01955-2/home.html;
http://www.ams.org/mcom/2007-76-260/S0025-5718-07-01955-2/S0025-5718-07-01955-2.dvi;
http://www.ams.org/mcom/2007-76-260/S0025-5718-07-01955-2/S0025-5718-07-01955-2.pdf;
http://www.ams.org/mcom/2007-76-260/S0025-5718-07-01955-2/S0025-5718-07-01955-2.ps",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Rubio-Sanchez:2007:ERF,
author = "Manuel Rubio-S{\'a}nchez and Isidoro
Hern{\'a}n-Losada",
title = "Exploring recursion with {Fibonacci} numbers",
journal = j-SIGCSE,
volume = "39",
number = "3",
pages = "359--359",
month = sep,
year = "2007",
CODEN = "SIGSD3",
DOI = "https://doi.org/10.1145/1269900.1268931",
ISSN = "0097-8418 (print), 2331-3927 (electronic)",
ISSN-L = "0097-8418",
bibdate = "Sat Nov 17 16:57:36 MST 2012",
bibsource = "http://portal.acm.org/;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/sigcse2000.bib",
note = "Proceedings of the 12th Annual SIGCSE Conference on
Innovation and Technology in Computer Science Education
(ITiCSE'07).",
abstract = "This paper addresses the relationship between
recursion and combinatorial problems, which may benefit
teaching recursion in CS1/2 courses. Problems whose
solutions are related to Fibonacci numbers are
particularly interesting, since some can be decomposed
by using different strategies, which may be based on
the numerous Fibonacci identities or even on the
concept of mutual recursion.",
acknowledgement = ack-nhfb,
fjournal = "SIGCSE Bulletin (ACM Special Interest Group on
Computer Science Education)",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J688",
}
@Article{Solak:2007:ENC,
author = "S{\"u}leyman Solak",
title = "Erratum to {``On the norms of circulant matrices with
the Fibonacci and Lucas numbers'' [Appl. Math. Comput.
160 (2005) 125--132]}",
journal = j-APPL-MATH-COMP,
volume = "190",
number = "2",
pages = "1855--1856",
day = "15",
month = jul,
year = "2007",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Sat Jul 12 09:03:07 MDT 2008",
bibsource = "http://www.sciencedirect.com/science/journal/00963003;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "See \cite{Uslu:2007:ENC}.",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
xxnote = "Cite original article.",
}
@Article{Subasi:2007:RCK,
author = "Murat Suba{\c{s}}{\i}",
title = "Reply to the {Comment of E. Kahya on ``An improvement
on Fibonacci search method in optimization theory'' by
Murat Suba{\c{s}}{\i}, Necmettin Yildirim, B{\"u}nyamin
Yildiz}, {[An improvement on Fibonacci search method in
optimization theory, Applied Mathematics and
Computation {\bf 147} (2004) 893--901]}",
journal = j-APPL-MATH-COMP,
volume = "188",
number = "1",
pages = "1059--1060",
day = "1",
month = may,
year = "2007",
CODEN = "AMHCBQ",
DOI = "https://doi.org/10.1016/j.amc.2006.09.118",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Wed Nov 21 11:22:33 MST 2012",
bibsource = "http://www.sciencedirect.com/science/journal/00963003;
https://www.math.utah.edu/pub/tex/bib/applmathcomput2005.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300306013464",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@Article{Taranenko:2007:FRF,
author = "Andrej Taranenko and Aleksander Vesel",
title = "Fast Recognition of {Fibonacci} Cubes",
journal = j-ALGORITHMICA,
volume = "49",
number = "2",
pages = "81--93",
month = oct,
year = "2007",
CODEN = "ALGOEJ",
DOI = "https://doi.org/10.1007/s00453-007-9026-5",
ISSN = "0178-4617 (print), 1432-0541 (electronic)",
ISSN-L = "0178-4617",
bibdate = "Wed Jul 9 22:25:04 MDT 2008",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0178-4617&volume=49&issue=2;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0178-4617&volume=49&issue=2&spage=81",
acknowledgement = ack-nhfb,
fjournal = "Algorithmica",
journal-URL = "http://link.springer.com/journal/453",
keywords = "Fibonacci cube; Recognition algorithm; Resonance
graph",
}
@Article{Uslu:2007:ENC,
author = "K. Uslu and A. Nalli and M. Sen",
title = "Erratum to {``On the norms of circulant matrices with
the Fibonacci and Lucas numbers'' [Appl. Math. Comput.
160 (1) (2005) 125--132]}",
journal = j-APPL-MATH-COMP,
volume = "190",
number = "1",
pages = "997--998",
day = "1",
month = jul,
year = "2007",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Sat Jul 12 09:03:06 MDT 2008",
bibsource = "http://www.sciencedirect.com/science/journal/00963003;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "See \cite{Solak:2007:ENC}.",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
xxnote = "Cite original article.",
}
@Article{Bayless:2008:LPP,
author = "Jonathan Bayless",
title = "The {Lucas--Pratt} primality tree",
journal = j-MATH-COMPUT,
volume = "77",
number = "261",
pages = "495--502",
month = jan,
year = "2008",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Tue Jul 8 06:24:26 MDT 2008",
bibsource = "http://www.ams.org/mcom/2008-77-261;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.ams.org/mcom/2008-77-261/S0025-5718-07-02002-9/home.html;
http://www.ams.org/mcom/2008-77-261/S0025-5718-07-02002-9/S0025-5718-07-02002-9.dvi;
http://www.ams.org/mcom/2008-77-261/S0025-5718-07-02002-9/S0025-5718-07-02002-9.pdf;
http://www.ams.org/mcom/2008-77-261/S0025-5718-07-02002-9/S0025-5718-07-02002-9.ps",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@InProceedings{Bostan:2008:PSC,
author = "Alin Bostan and Bruno Salvy and {\'E}ric Schost",
title = "Power series composition and change of basis",
crossref = "Jeffrey:2008:PAM",
pages = "269--276",
year = "2008",
DOI = "https://doi.org/10.1145/1390768.1390806",
bibdate = "Wed Aug 6 09:11:59 MDT 2008",
bibsource = "http://portal.acm.org/;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/issac.bib",
abstract = "Efficient algorithms are known for many operations on
truncated power series (multiplication, powering,
exponential, \ldots{}). Composition is a more complex
task. We isolate a large class of power series for
which composition can be performed efficiently. We
deduce fast algorithms for converting polynomials
between various bases, including Euler, Bernoulli,
Fibonacci, and the orthogonal Laguerre, Hermite,
Jacobi, Krawtchouk, Meixner and Meixner--Pollaczek.",
acknowledgement = ack-nhfb,
keywords = "basis conversion; fast algorithms; orthogonal
polynomials; transposed algorithms",
}
@Article{Brown:2008:FFN,
author = "Ezra Brown and Jason C. Brunson",
title = "{Fibonacci}'s Forgotten Number",
journal = j-COLLEGE-MATH-J,
volume = "39",
number = "2",
pages = "112--120",
month = mar,
year = "2008",
CODEN = "????",
DOI = "https://doi.org/10.1080/07468342.2008.11922284",
ISSN = "0746-8342 (print), 1931-1346 (electronic)",
ISSN-L = "0746-8342",
bibdate = "Thu Feb 14 09:54:19 MST 2019",
bibsource = "https://www.math.utah.edu/pub/tex/bib/collegemathj.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.tandfonline.com/doi/abs/10.1080/07468342.2008.11922284",
acknowledgement = ack-nhfb,
fjournal = "College Mathematics Journal",
journal-URL = "https://maa.tandfonline.com/loi/ucmj20;
https://www.jstor.org/journal/collmathj",
onlinedate = "28 Nov 2017",
}
@InProceedings{Cai:2008:HAF,
author = "Jin-Yi Cai and Pinyan Lu and Mingji Xia",
title = "Holographic Algorithms by {Fibonacci} Gates and
Holographic Reductions for Hardness",
crossref = "IEEE:2008:PAI",
pages = "644--653",
year = "2008",
DOI = "https://doi.org/10.1109/FOCS.2008.34",
bibdate = "Thu Apr 12 09:33:24 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/focs2000.bib",
acknowledgement = ack-nhfb,
book-URL = "http://ieeexplore.ieee.org/xpl/mostRecentIssue.jsp?punumber=4690923",
}
@Article{Claussen:2008:TER,
author = "Jens Christian Claussen",
title = "Time evolution of the rule $ 150 $ cellular automaton
activity from a {Fibonacci} iteration",
journal = j-J-MATH-PHYS,
volume = "49",
number = "6",
pages = "062701",
month = jun,
year = "2008",
CODEN = "JMAPAQ",
DOI = "https://doi.org/10.1063/1.2939398",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
bibdate = "Wed Oct 26 09:06:04 MDT 2011",
bibsource = "http://www.aip.org/ojs/jmp.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphys2005.bib",
URL = "http://jmp.aip.org/resource/1/jmapaq/v49/i6/p062701_s1",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
onlinedate = "27 June 2008",
pagecount = "12",
}
@Article{Demir:2008:OLN,
author = "Ali Demir and Nese Omur and Yucel Turker Ulutas",
title = "Optimization by $k$-{Lucas} numbers",
journal = j-APPL-MATH-COMP,
volume = "197",
number = "1",
pages = "366--371",
day = "15",
month = mar,
year = "2008",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Sat Jul 12 09:03:11 MDT 2008",
bibsource = "http://www.sciencedirect.com/science/journal/00963003;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@Article{Demir:2008:PFS,
author = "Ali Demir and Nese Omur and Yucel Turker Ulutas",
title = "Parametrized {Fibonacci} search method with
$k$-{Lucas} numbers",
journal = j-APPL-MATH-COMP,
volume = "198",
number = "1",
pages = "355--360",
day = "15",
month = apr,
year = "2008",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Sat Jul 12 09:03:12 MDT 2008",
bibsource = "http://www.sciencedirect.com/science/journal/00963003;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@Article{Demir:2008:TML,
author = "Ali Demir",
title = "Trisection method by $k$-{Lucas} numbers",
journal = j-APPL-MATH-COMP,
volume = "198",
number = "1",
pages = "339--345",
day = "15",
month = apr,
year = "2008",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Sat Jul 12 09:03:12 MDT 2008",
bibsource = "http://www.sciencedirect.com/science/journal/00963003;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@Article{Dil:2008:SAH,
author = "Ayhan Dil and Istv{\'a}n Mez{\H{o}}",
title = "A symmetric algorithm for hyperharmonic and
{Fibonacci} numbers",
journal = j-APPL-MATH-COMP,
volume = "206",
number = "2",
pages = "942--951",
day = "15",
month = dec,
year = "2008",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Fri Sep 3 10:53:23 MDT 2010",
bibsource = "http://www.sciencedirect.com/science/journal/00963003;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@Book{Fibonacci:2008:FPG,
editor = "Leonardo Fibonacci and Barnabas Hughes",
title = "{Fibonacci}'s {{\booktitle{De practica geometrie}}}",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xxxv + 408",
year = "2008",
ISBN = "0-387-72930-5",
ISBN-13 = "978-0-387-72930-5",
LCCN = "QA32 .F4613 2008",
bibdate = "Thu Jun 27 09:17:58 MDT 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/histmath.bib;
z3950.loc.gov:7090/Voyager",
series = "Sources and studies in the history of mathematics and
physical sciences",
URL = "http://www.loc.gov/catdir/enhancements/fy0826/2007934985-d.html;
http://www.loc.gov/catdir/enhancements/fy0826/2007934985-t.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
author-dates = "approximately 1170--approximately 1240",
subject = "Geometry; Early works to 1800; Mathematics, Medieval",
}
@Article{Foundas:2008:IAC,
author = "E. Foundas and Ch. Lytras and C. Patsakis",
title = "Improved algorithms for the calculation of {Fibonacci}
numbers",
journal = j-J-DISCR-MATH-SCI-CRYPTO,
volume = "11",
number = "1",
pages = "113--120",
month = feb,
year = "2008",
CODEN = "????",
ISSN = "0972-0529",
ISSN-L = "0972-0529",
bibdate = "Thu Feb 16 09:25:23 MST 2012",
bibsource = "http://www.connectjournals.com/achivestoc.php?bookmark=CJ-003072;
http://www.iospress.nl/journal/journal-of-discrete-mathematical-sciences-and-cryptography/;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jdiscrmathscicrypto.bib",
URL = "http://www.connectjournals.com/achivestoc.php?bookmark=CJ-003072&volume=11&issue_id=01",
acknowledgement = ack-nhfb,
ajournal = "J. Discr. Math. Sci. Crypto.",
fjournal = "Journal of Discrete Mathematical Sciences and
Cryptography",
}
@Article{Foundas:2008:LPS,
author = "E. Foundas and C. Patsakis and G. Chondrocoukis",
title = "{Lucas} permutations and some notes on {Fibonacci}
permutations",
journal = j-J-DISCR-MATH-SCI-CRYPTO,
volume = "11",
number = "2",
pages = "181--190",
month = apr,
year = "2008",
CODEN = "????",
ISSN = "0972-0529",
ISSN-L = "0972-0529",
bibdate = "Thu Feb 16 09:25:23 MST 2012",
bibsource = "http://www.connectjournals.com/achivestoc.php?bookmark=CJ-003072;
http://www.iospress.nl/journal/journal-of-discrete-mathematical-sciences-and-cryptography/;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jdiscrmathscicrypto.bib",
URL = "http://www.connectjournals.com/achivestoc.php?bookmark=CJ-003072&volume=11&issue_id=02",
acknowledgement = ack-nhfb,
ajournal = "J. Discr. Math. Sci. Crypto.",
fjournal = "Journal of Discrete Mathematical Sciences and
Cryptography",
}
@Article{Fu:2008:ELC,
author = "Xu Dan Fu and Xia Zhou and Xiao Dong Zhao",
title = "Extensions of {Lucas}' congruence and {Babbage}'s
congruence",
journal = "Acta Math. Sinica (Chin. Ser.)",
volume = "51",
number = "4",
pages = "693--698",
year = "2008",
CODEN = "SHHPBO",
ISSN = "0583-1431",
MRclass = "11B65 (11A07)",
MRnumber = "2454006 (2009i:11020)",
bibdate = "Tue Jan 15 11:49:13 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/adabooks.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Acta Mathematica Sinica. Chinese Series",
}
@Article{Fu:2008:MRF,
author = "Xudan Fu and Xia Zhou",
title = "On matrices related with {Fibonacci} and {Lucas}
numbers",
journal = j-APPL-MATH-COMP,
volume = "200",
number = "1",
pages = "96--100",
day = "15",
month = jun,
year = "2008",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Sat Jul 12 09:03:14 MDT 2008",
bibsource = "http://www.sciencedirect.com/science/journal/00963003;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@Article{Galuzzi:2008:BRA,
author = "Massimo Galuzzi",
title = "Book Review: {Alfred S. Posamentier and Ingmar
Lehmann, \booktitle{The (Fabulous) Fibonacci Numbers}.
New York: Prometheus Books, 2007. 385 pp., ISBN
976-1-59102-475-0}",
journal = j-NUNCIUS,
volume = "23",
number = "1",
pages = "188--189",
month = "????",
year = "2008",
CODEN = "????",
DOI = "https://doi.org/10.1163/182539108x00544",
ISSN = "0394-7394 (print), 1825-3911 (electronic)",
ISSN-L = "0394-7394",
bibdate = "Tue Jul 09 07:01:23 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/nuncius.bib",
URL = "http://booksandjournals.brillonline.com/content/10.1163/182539108x00544",
acknowledgement = ack-nhfb,
fjournal = "Nuncius",
journal-URL = "http://booksandjournals.brillonline.com/content/18253911",
pagecount = "2",
}
@Article{Janvresse:2008:HDR,
author = "{\'E}lise Janvresse and Beno{\^\i}t Rittaud and
Thierry de la Rue",
title = "How do random {Fibonacci} sequences grow?",
journal = j-PROBAB-THEORY-RELAT-FIELDS,
volume = "142",
number = "3--4",
pages = "619--648",
month = nov,
year = "2008",
CODEN = "PTRFEU",
DOI = "https://doi.org/10.1007/s00440-007-0117-7",
ISSN = "0178-8051 (print), 1432-2064 (electronic)",
ISSN-L = "0178-8051",
bibdate = "Fri Jun 6 08:19:54 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/probab-theory-relat-fields.bib",
URL = "http://link.springer.com/article/10.1007/s00440-007-0117-7",
acknowledgement = ack-nhfb,
fjournal = "Probability Theory and Related Fields",
journal-URL = "http://link.springer.com/journal/440",
}
@Article{Juarna:2008:CIB,
author = "A. Juarna and V. Vajnovszki",
title = "Combinatorial isomorphism between {Fibonacci}
classes",
journal = j-J-DISCR-MATH-SCI-CRYPTO,
volume = "11",
number = "2",
pages = "147--158",
month = apr,
year = "2008",
CODEN = "????",
ISSN = "0972-0529",
ISSN-L = "0972-0529",
bibdate = "Thu Feb 16 09:25:23 MST 2012",
bibsource = "http://www.connectjournals.com/achivestoc.php?bookmark=CJ-003072;
http://www.iospress.nl/journal/journal-of-discrete-mathematical-sciences-and-cryptography/;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jdiscrmathscicrypto.bib",
URL = "http://www.connectjournals.com/achivestoc.php?bookmark=CJ-003072&volume=11&issue_id=02",
acknowledgement = ack-nhfb,
ajournal = "J. Discr. Math. Sci. Crypto.",
fjournal = "Journal of Discrete Mathematical Sciences and
Cryptography",
}
@Article{Kaplan:2008:THT,
author = "Haim Kaplan and Robert Endre Tarjan",
title = "Thin heaps, thick heaps",
journal = j-TALG,
volume = "4",
number = "1",
pages = "3:1--3:??",
month = mar,
year = "2008",
CODEN = "????",
DOI = "https://doi.org/10.1145/1328911.1328914",
ISSN = "1549-6325 (print), 1549-6333 (electronic)",
ISSN-L = "1549-6325",
bibdate = "Mon Jun 16 11:56:15 MDT 2008",
bibsource = "http://portal.acm.org/;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/talg.bib",
abstract = "The Fibonacci heap was devised to provide an
especially efficient implementation of Dijkstra's
shortest path algorithm. Although asymptotically
efficient, it is not as fast in practice as other heap
implementations. Expanding on ideas of H{\o}yer [1995],
we describe three heap implementations (two versions of
thin heaps and one of thick heaps) that have the same
amortized efficiency as Fibonacci heaps, but need less
space and promise better practical performance. As part
of our development, we fill in a gap in H{\o}yer's
analysis.",
acknowledgement = ack-nhfb,
articleno = "3",
fjournal = "ACM Transactions on Algorithms (TALG)",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J982",
keywords = "binomial queue; Data structure; decrease key
operation; Fibonacci heap; heap; melding; priority
queue; thick heap; thin heap",
}
@Article{Kelsey:2008:DFS,
author = "Michael A. Kelsey",
title = "Dethroning {Fibonacci} Sequence (abstract only)",
journal = j-ACM-COMM-COMP-ALGEBRA,
volume = "42",
number = "1--2",
pages = "78--78",
month = mar # "/" # jun,
year = "2008",
CODEN = "????",
DOI = "https://doi.org/10.1145/1394042.1394086",
ISSN = "1932-2232 (print), 1932-2240 (electronic)",
ISSN-L = "1932-2232",
bibdate = "Tue Aug 12 17:30:40 MDT 2008",
bibsource = "http://portal.acm.org/;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
abstract = "The purpose of this presentation is to demonstrate
some properties and applications of Fibonacci numbers.
We present Binet's Formula and its proof. By using
Binet's Formula, we show that the Fibonacci sequence is
not a special sequence. The Fibonacci sequence has a
closed form solution which can be expressed
analytically in terms of a bounded number of certain
'well-known' functions, which indicates that the
Fibonacci sequence is not unique.",
acknowledgement = ack-nhfb,
fjournal = "ACM Communications in Computer Algebra",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J1000",
}
@Article{Kim:2008:FMG,
author = "Hee Sik Kim and J. Neggers",
title = "{Fibonacci} mean and golden section mean",
journal = j-COMPUT-MATH-APPL,
volume = "56",
number = "1",
pages = "228--232",
month = jul,
year = "2008",
CODEN = "CMAPDK",
ISSN = "0898-1221 (print), 1873-7668 (electronic)",
ISSN-L = "0898-1221",
bibdate = "Wed Mar 1 21:50:12 MST 2017",
bibsource = "https://www.math.utah.edu/pub/tex/bib/computmathappl2000.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0898122108000096",
acknowledgement = ack-nhfb,
fjournal = "Computers and Mathematics with Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/08981221",
}
@InProceedings{Klein:2008:UFC,
author = "S. T. Klein and M. K. Ben-Nissan",
title = "Using {Fibonacci} Compression Codes as Alternatives to
Dense Codes",
crossref = "Storer:2008:DDC",
pages = "472--481",
year = "2008",
DOI = "https://doi.org/10.1109/DCC.2008.54",
bibdate = "Tue Feb 5 12:38:42 MST 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/datacompression.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4483325",
acknowledgement = ack-nhfb,
}
@Article{Moghaddamfar:2008:CMR,
author = "Ali Reza Moghaddamfar and S. Navid Salehy and S. Nima
Salehy",
title = "Certain matrices related to the {Fibonacci} sequence
having recursive entries",
journal = j-ELECTRON-J-LINEAR-ALGEBRA,
volume = "17",
number = "1",
pages = "543--576",
year = "2008",
CODEN = "????",
ISSN = "1081-3810 (print), 1537-9582 (electronic)",
ISSN-L = "1081-3810",
MRclass = "15A09 (11B39 15A15)",
MRnumber = "2460875 (2009k:15007)",
MRreviewer = "Medhat A. Rakha",
bibdate = "Tue Sep 16 07:27:41 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/ela.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://repository.uwyo.edu/ela/vol17/iss1/40",
acknowledgement = ack-nhfb,
ajournal = "Electron. J. Linear Algebra",
fjournal = "Electronic Journal of Linear Algebra",
journal-URL = "http://repository.uwyo.edu/ela/",
}
@Article{Mosley:2008:BRS,
author = "Adam Mosley",
title = "Book Reviews: {Stephen Clucas (ed.) John Dee:
Interdisciplinary Studies in English Renaissance
Thought. International Archives of the History of
Ideas, 193. Dordrecht: Springer, 2006. Pp. xvii + 366.
ISBN: 1-4020-4245-0. EUR144.00, \$189.00, \pounds
111.00 (hardback). ISBN: 1-4020-4246-9 (e-book)}",
journal = j-BRITISH-J-HIST-SCI,
volume = "41",
number = "1",
pages = "132--134",
month = mar,
year = "2008",
CODEN = "BJHSAT",
DOI = "https://doi.org/10.1017/S0007087407000738",
ISSN = "0007-0874 (print), 1474-001X (electronic)",
ISSN-L = "0007-0874",
bibdate = "Thu Sep 23 07:34:43 MDT 2010",
bibsource = "http://journals.cambridge.org/action/displayJournal?jid=BJH;
https://www.math.utah.edu/pub/tex/bib/bjhs2000.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "British Journal for the History of Science",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=BJH",
}
@Article{Rubio-Sanchez:2008:IPE,
author = "Manuel Rubio-S{\'a}nchez",
title = "An introduction to problem equivalence with
combinatorics",
journal = j-SIGCSE,
volume = "40",
number = "3",
pages = "313--313",
month = sep,
year = "2008",
CODEN = "SIGSD3",
DOI = "https://doi.org/10.1145/1597849.1384356",
ISSN = "0097-8418 (print), 2331-3927 (electronic)",
ISSN-L = "0097-8418",
bibdate = "Sat Nov 17 15:44:14 MST 2012",
bibsource = "http://portal.acm.org/;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/sigcse2000.bib",
note = "Proceedings of ITiCSE '08.",
abstract = "This paper proposes the use of several classes of
simple combinatorial problems that share the same
solution for teaching problem equivalence and
recursion. Our focus is on counting problems that
involve Fibonacci numbers. While these problems have
simple recursive solutions, we propose that --- for
teaching purposes --- they can also be solved by
finding other isomorphic problems for which the
solution is known.",
acknowledgement = ack-nhfb,
fjournal = "SIGCSE Bulletin (ACM Special Interest Group on
Computer Science Education)",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J688",
}
@Article{Tauraso:2008:FNT,
author = "Roberto Tauraso and O. P. Lossers",
title = "{Fibonacci} Numbers and Tilling a Board with Cuts:
11241",
journal = j-AMER-MATH-MONTHLY,
volume = "115",
number = "9",
pages = "858--859",
month = nov,
year = "2008",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jan 30 12:00:32 MST 2012",
bibsource = "http://www.jstor.org/journals/00029890.html;
http://www.jstor.org/stable/i27642605;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly2000.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.jstor.org/stable/27642624",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Wirth:2008:IRP,
author = "Michael Wirth",
title = "Introducing recursion by parking cars",
journal = j-SIGCSE,
volume = "40",
number = "4",
pages = "52--55",
month = dec,
year = "2008",
CODEN = "SIGSD3",
DOI = "https://doi.org/10.1145/1473195.1473219",
ISSN = "0097-8418 (print), 2331-3927 (electronic)",
ISSN-L = "0097-8418",
bibdate = "Sat Nov 17 15:44:17 MST 2012",
bibsource = "http://portal.acm.org/;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/sigcse2000.bib",
abstract = "Many approaches to teaching recursion in textbooks
focus on classical examples such as Fibonacci,
factorial, or the Towers of Hanoi. As established as
these algorithms are, they don't really illustrate the
potential of recursion. This paper explores the use of
a novel recursive algorithm which requires innovative
thinking, and the use of random numbers. The algorithm
looks at the use of recursion to randomly park cars on
a street.",
acknowledgement = ack-nhfb,
fjournal = "SIGCSE Bulletin (ACM Special Interest Group on
Computer Science Education)",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J688",
}
@Article{Yamagishi:2008:NFH,
author = "Michel E. Beleza Yamagishi and Alex Itiro
Shimabukuro",
title = "Nucleotide Frequencies in Human Genome and {Fibonacci}
Numbers",
journal = j-BULL-MATH-BIOL,
volume = "70",
number = "3",
pages = "643--653",
month = apr,
year = "2008",
CODEN = "BMTBAP",
DOI = "https://doi.org/10.1007/s11538-007-9261-6",
ISSN = "0092-8240 (print), 1522-9602 (electronic)",
ISSN-L = "0092-8240",
bibdate = "Thu Jun 29 14:35:19 MDT 2017",
bibsource = "https://www.math.utah.edu/pub/tex/bib/bullmathbiol.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://link.springer.com/article/10.1007/s11538-007-9261-6;
http://link.springer.com/content/pdf/10.1007/s11538-007-9261-6.pdf",
acknowledgement = ack-nhfb,
fjournal = "Bulletin of Mathematical Biology",
journal-URL = "http://link.springer.com/journal/11538",
}
@Article{Yang:2008:GFN,
author = "Sheng-liang Yang",
title = "On the $k$-generalized {Fibonacci} numbers and
high-order linear recurrence relations",
journal = j-APPL-MATH-COMP,
volume = "196",
number = "2",
pages = "850--857",
day = "1",
month = mar,
year = "2008",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Sat Jul 12 09:03:11 MDT 2008",
bibsource = "http://www.sciencedirect.com/science/journal/00963003;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@Article{Dunne:2009:LDF,
author = "Edward Dunne",
title = "Long days on the {Fibonacci} clock",
journal = j-MATH-MAG,
volume = "82",
number = "2",
pages = "127--134",
year = "2009",
CODEN = "MAMGA8",
DOI = "https://doi.org/10.4169/193009809X468959",
ISSN = "0025-570X",
MRclass = "11B39 (11B37)",
MRnumber = "2512596",
bibdate = "Mon Oct 28 06:55:37 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematics Magazine",
journal-URL = "http://www.maa.org/pubs/mathmag.html",
}
@Article{Falcon:2009:FNA,
author = "Sergio Falcon and Angel Plaza",
title = "On $k$-{Fibonacci} numbers of arithmetic indexes",
journal = j-APPL-MATH-COMP,
volume = "208",
number = "1",
pages = "180--185",
day = "1",
month = feb,
year = "2009",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Fri Sep 3 10:53:24 MDT 2010",
bibsource = "http://www.sciencedirect.com/science/journal/00963003;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@Article{Hartshorn:2009:BRB,
author = "Kevin Hartshorn",
title = "Book Review: {{\booktitle{The fabulous Fibonacci
numbers}} by Alfred Posamentier and Ingmar Lehmann}",
journal = j-J-MATH-ARTS,
volume = "3",
number = "2",
pages = "113--116",
month = "????",
year = "2009",
CODEN = "????",
DOI = "https://doi.org/10.1080/17513470902897569",
ISSN = "1751-3472 (print), 1751-3480 (electronic)",
ISSN-L = "1751-3480",
bibdate = "Sat Jan 07 09:43:47 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.tandfonline.com/doi/abs/10.1080/17513470902897569",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematics and the Arts",
journal-URL = "http://www.tandfonline.com/loi/tmaa20",
onlinedate = "05 Jun 2009",
}
@Article{Hoyrup:2009:BRBa,
author = "Jens H{\o}yrup",
title = "Book Review: {{\booktitle{Fibonacci's De Practica
Geometrie}}, Barnabas Hughes (Ed.), in: Sources and
Studies in the History of Mathematics and Physical
Sciences. Springer, New York (2008), ISBN
978-0-387-72930-5}",
journal = j-HIST-MATH,
volume = "36",
number = "1",
pages = "73--77",
month = feb,
year = "2009",
CODEN = "HIMADS",
ISSN = "0315-0860 (print), 1090-249X (electronic)",
ISSN-L = "0315-0860",
bibdate = "Wed Jun 26 06:21:00 MDT 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/histmath.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0315086008000566",
acknowledgement = ack-nhfb,
fjournal = "Historia Mathematica",
journal-URL = "http://www.sciencedirect.com/science/journal/03150860",
}
@Article{Laskari:2009:ANI,
author = "E. C. Laskari and G. C. Meletiou and M. N. Vrahatis",
title = "{Aitken} and {Neville} inverse interpolation methods
for the {Lucas} logarithm problem",
journal = j-APPL-MATH-COMP,
volume = "209",
number = "1",
pages = "52--56",
day = "1",
month = mar,
year = "2009",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Fri Sep 3 10:53:24 MDT 2010",
bibsource = "http://www.sciencedirect.com/science/journal/00963003;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@Article{Maruszewski:2009:FFN,
author = "Richard Maruszewski",
title = "{Fibonacci}'s Forgotten Number Revisited",
journal = j-COLLEGE-MATH-J,
volume = "40",
number = "4",
pages = "248--251",
month = sep,
year = "2009",
CODEN = "????",
DOI = "https://doi.org/10.1080/07468342.2009.11922371",
ISSN = "0746-8342 (print), 1931-1346 (electronic)",
ISSN-L = "0746-8342",
bibdate = "Thu Feb 14 09:54:31 MST 2019",
bibsource = "https://www.math.utah.edu/pub/tex/bib/collegemathj.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.tandfonline.com/doi/abs/10.1080/07468342.2009.11922371",
acknowledgement = ack-nhfb,
fjournal = "College Mathematics Journal",
journal-URL = "https://maa.tandfonline.com/loi/ucmj20;
https://www.jstor.org/journal/collmathj",
onlinedate = "28 Nov 2017",
}
@Article{Oaks:2009:RBB,
author = "Jeffrey A. Oaks",
title = "Reviews: {{\booktitle{Fibonacci's \booktitle{De
Practica Geometrie}}} --- by Barnabas Hughes}",
journal = j-CENTAURUS,
volume = "51",
number = "2",
pages = "168--169",
month = may,
year = "2009",
CODEN = "CENTA4",
DOI = "https://doi.org/10.1111/j.1600-0498.2008.00135_1.x",
ISSN = "0008-8994 (print), 1600-0498 (electronic)",
ISSN-L = "0008-8994",
bibdate = "Sat Jul 27 18:45:27 MDT 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/centaurus.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Centaurus: An International Journal of the History of
Science and its Cultural Aspects",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1600-0498/",
onlinedate = "28 Apr 2009",
}
@Article{Basu:2010:LRV,
author = "Manjusri Basu and Bandhu Prasad",
title = "Long range variations on the {Fibonacci} universal
code",
journal = j-J-NUMBER-THEORY,
volume = "130",
number = "9",
pages = "1925--1931",
month = sep,
year = "2010",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/j.jnt.2010.01.013",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Wed Jul 15 08:48:44 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jnumbertheory2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0022314X10000533",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
}
@Article{Chu:2010:FPS,
author = "Wenchang Chu",
title = "{Fibonacci} polynomials and {Sylvester} determinant of
tridiagonal matrix",
journal = j-APPL-MATH-COMP,
volume = "216",
number = "3",
pages = "1018--1023",
day = "1",
month = apr,
year = "2010",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Fri Sep 3 10:53:26 MDT 2010",
bibsource = "http://www.sciencedirect.com/science/journal/00963003;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@Article{Cureg:2010:NRS,
author = "Edgardo Cureg and Arunava Mukherjea",
title = "Numerical results on some generalized random
{Fibonacci} sequences",
journal = j-COMPUT-MATH-APPL,
volume = "59",
number = "1",
pages = "233--246",
month = jan,
year = "2010",
CODEN = "CMAPDK",
ISSN = "0898-1221 (print), 1873-7668 (electronic)",
ISSN-L = "0898-1221",
bibdate = "Wed Mar 1 21:50:32 MST 2017",
bibsource = "https://www.math.utah.edu/pub/tex/bib/computmathappl2010.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0898122109005136",
acknowledgement = ack-nhfb,
fjournal = "Computers and Mathematics with Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/08981221",
}
@Article{El-Mikkawy:2010:NFF,
author = "Moawwad El-Mikkawy and Tomohiro Sogabe",
title = "A new family of $k$-{Fibonacci} numbers",
journal = j-APPL-MATH-COMP,
volume = "215",
number = "12",
pages = "4456--4461",
day = "15",
month = feb,
year = "2010",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Fri Sep 3 10:53:26 MDT 2010",
bibsource = "http://www.sciencedirect.com/science/journal/00963003;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@Article{Esmaeili:2010:FPB,
author = "Mostafa Esmaeili and Morteza Esmaeili",
title = "A {Fibonacci}-polynomial based coding method with
error detection and correction",
journal = j-COMPUT-MATH-APPL,
volume = "60",
number = "10",
pages = "2738--2752",
month = nov,
year = "2010",
CODEN = "CMAPDK",
ISSN = "0898-1221 (print), 1873-7668 (electronic)",
ISSN-L = "0898-1221",
bibdate = "Wed Mar 1 21:50:40 MST 2017",
bibsource = "https://www.math.utah.edu/pub/tex/bib/computmathappl2010.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0898122110006760",
acknowledgement = ack-nhfb,
fjournal = "Computers and Mathematics with Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/08981221",
}
@Article{Han:2010:FNP,
author = "Jeong Soon Han and Hee Sik Kim and J. Neggers",
title = "The {Fibonacci}-Norm of a Positive Integer:
Observations and Conjectures",
journal = j-INT-J-NUMBER-THEORY,
volume = "6",
number = "2",
pages = "371--385",
month = mar,
year = "2010",
DOI = "https://doi.org/10.1142/S1793042110003009",
ISSN = "1793-0421 (print), 1793-7310 (electronic)",
ISSN-L = "1793-0421",
bibdate = "Tue Jul 21 10:01:22 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/ijnt.bib",
note = "See acknowledgement of priority \cite{Han:2011:APF}.",
URL = "https://www.worldscientific.com/doi/10.1142/S1793042110003009",
abstract = "In this paper, we define the Fibonacci-norm of a
natural number n to be the smallest integer k such that
n|F$_k$, the kth Fibonacci number. We show that for m
\geq 5. Thus by analogy we say that a natural number n
\geq 5 is a local-Fibonacci-number whenever . We offer
several conjectures concerning the distribution of
local-Fibonacci-numbers. We show that, where provided
F$_{m + k}$ \equiv F$_m$ (mod n) for all natural
numbers m, with k \geq 1 the smallest natural number
for which this is true.",
acknowledgement = ack-nhfb,
fjournal = "International Journal of Number Theory (IJNT)",
journal-URL = "https://www.worldscientific.com/worldscinet/ijnt",
}
@Article{Hughes:2010:EAF,
author = "Barnabas Hughes",
title = "An early abridgement of {Fibonacci}'s De practica
geometrie",
journal = j-HIST-MATH,
volume = "37",
number = "4",
pages = "615--640",
month = nov,
year = "2010",
CODEN = "HIMADS",
ISSN = "0315-0860 (print), 1090-249X (electronic)",
ISSN-L = "0315-0860",
bibdate = "Wed Jun 26 06:21:10 MDT 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/histmath.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0315086009000743",
acknowledgement = ack-nhfb,
fjournal = "Historia Mathematica",
journal-URL = "http://www.sciencedirect.com/science/journal/03150860",
}
@Article{Janvresse:2010:ASG,
author = "{\'E}lise Janvresse and Beno{\^\i}t Rittaud and
Thierry de la Rue",
title = "Almost-sure growth rate of generalized random
{Fibonacci} sequences",
journal = j-ANN-INST-HENRI-POINCARE-PROBAB-STATIST,
volume = "46",
number = "1",
pages = "135--158",
month = feb,
year = "2010",
CODEN = "AHPBAR",
DOI = "https://doi.org/10.1214/09-AIHP312",
ISSN = "0246-0203 (print), 1778-7017 (electronic)",
ISSN-L = "0246-0203",
MRclass = "37H15 (60J05 11J70)",
MRnumber = "2641774",
bibdate = "Mon Jun 9 05:36:51 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/annihpb.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://projecteuclid.org/euclid.aihp/1267454112;
http://www.numdam.org/item?id=AIHPB_2010__46_1_135_0",
acknowledgement = ack-nhfb,
fjournal = "Annales de l'Institut Henri Poincar{\'e}.
Probabilit{\'e}s et Statistiques",
journal-URL = "http://projecteuclid.org/all/euclid.aihp/;
http://www.numdam.org/numdam-bin/feuilleter?j=AIHPB",
keywords = "Hecke group; Random Fibonacci sequence; Rosen
continued fraction; Stern--Brocot intervals; Upper
Lyapunov exponent",
}
@Article{Jiang:2010:AFS,
author = "Dong-mei Jiang",
title = "Application of {Fibonacci} sine and cosine function to
a nonlinear differential--difference equation",
journal = j-APPL-MATH-COMP,
volume = "217",
number = "8",
pages = "3898--3902",
day = "15",
month = dec,
year = "2010",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Wed Mar 30 09:13:05 MDT 2011",
bibsource = "http://www.sciencedirect.com/science/journal/00963003;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@Article{Klein:2010:UFC,
author = "Shmuel T. Klein and Miri Kopel Ben-Nissan",
title = "On the Usefulness of {Fibonacci} Compression Codes",
journal = j-COMP-J,
volume = "53",
number = "6",
pages = "701--716",
month = jul,
year = "2010",
CODEN = "CMPJA6",
DOI = "https://doi.org/10.1093/comjnl/bxp046",
ISSN = "0010-4620 (print), 1460-2067 (electronic)",
ISSN-L = "0010-4620",
bibdate = "Tue Aug 3 15:52:17 MDT 2010",
bibsource = "http://comjnl.oxfordjournals.org/content/vol53/issue6/index.dtl;
https://www.math.utah.edu/pub/tex/bib/compj2010.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://comjnl.oxfordjournals.org/cgi/content/abstract/53/6/701;
http://comjnl.oxfordjournals.org/cgi/reprint/53/6/701",
acknowledgement = ack-nhfb,
fjournal = "The Computer Journal",
journal-URL = "http://comjnl.oxfordjournals.org/",
}
@Article{Lee:2010:SPF,
author = "K. S. Enoch Lee",
title = "On the Sum of a Prime and a {Fibonacci} Number",
journal = j-INT-J-NUMBER-THEORY,
volume = "6",
number = "7",
pages = "1669--1676",
month = nov,
year = "2010",
DOI = "https://doi.org/10.1142/S1793042110003708",
ISSN = "1793-0421 (print), 1793-7310 (electronic)",
ISSN-L = "1793-0421",
bibdate = "Tue Jul 21 10:01:23 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/ijnt.bib",
URL = "https://www.worldscientific.com/doi/10.1142/S1793042110003708",
abstract = "We show that the set of the numbers that are the sum
of a prime and a Fibonacci number has positive lower
asymptotic density.",
acknowledgement = ack-nhfb,
fjournal = "International Journal of Number Theory (IJNT)",
journal-URL = "https://www.worldscientific.com/worldscinet/ijnt",
}
@Article{Matsui:2010:PLT,
author = "H. Matsui and D. Minematsu and T. Yamauchi and R. Miy
Adera",
title = "{Pascal}-like triangles and {Fibonacci}-like
sequences",
journal = j-MATH-GAZ,
volume = "94",
number = "529",
pages = "27--41",
month = mar,
year = "2010",
CODEN = "MAGAAS",
DOI = "https://doi.org/10.1017/S0025557200007129",
ISSN = "0025-5572 (print), 2056-6328 (electronic)",
ISSN-L = "0025-5572",
bibdate = "Tue May 5 12:04:09 MDT 2015",
bibsource = "http://journals.cambridge.org/action/displayIssue?jid=MAG&volumeId=94&issueId=529;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/mathgaz2010.bib",
acknowledgement = ack-nhfb,
ajournal = "Math. Gaz.",
fjournal = "The Mathematical Gazette",
journal-URL = "http://journals.cambridge.org/action/displayBackIssues?jid=MAG",
}
@Article{Shen:2010:BNC,
author = "Shouqiang Shen and Jianmiao Cen",
title = "On the bounds for the norms of $r$-circulant matrices
with the {Fibonacci} and {Lucas} numbers",
journal = j-APPL-MATH-COMP,
volume = "216",
number = "10",
pages = "2891--2897",
day = "15",
month = jul,
year = "2010",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Fri Sep 3 10:53:27 MDT 2010",
bibsource = "http://www.sciencedirect.com/science/journal/00963003;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@Article{Walczak:2010:SRS,
author = "Bartosz Walczak",
title = "A simple representation of subwords of the {Fibonacci}
word",
journal = j-INFO-PROC-LETT,
volume = "110",
number = "21",
pages = "956--960",
day = "15",
month = oct,
year = "2010",
CODEN = "IFPLAT",
ISSN = "0020-0190 (print), 1872-6119 (electronic)",
ISSN-L = "0020-0190",
bibdate = "Thu Mar 31 12:46:46 MDT 2011",
bibsource = "http://www.sciencedirect.com/science/journal/00200190;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Information Processing Letters",
journal-URL = "http://www.sciencedirect.com/science/journal/00200190",
}
@Book{Aczel:2011:SWL,
author = "Amir D. Aczel",
title = "A Strange Wilderness: the Lives of the Great
Mathematicians",
publisher = "Sterling",
address = "New York, NY, USA",
pages = "xix + 284",
year = "2011",
ISBN = "1-4027-8584-4 (hardback), 1-4027-9085-6 (e-book)",
ISBN-13 = "978-1-4027-8584-9 (hardback), 978-1-4027-9085-0
(e-book)",
LCCN = "QA21 .A29 2011",
bibdate = "Thu Jun 7 16:36:39 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/cryptography2010.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/master.bib;
z3950.loc.gov:7090/Voyager",
abstract = "Bestselling popular science author Amir Aczel selects
the most fascinating individuals and stories in the
history of mathematics, presenting a colorful narrative
that explores the quirky personalities behind some of
the most profound, enduring theorems. Through such
mathematical geniuses as Archimedes, Leonardo of Pisa
(a.k.a. Fibonacci), Tartaglia (`the stutterer'),
Descartes, Gottfried Leibniz, Carl Gauss, Joseph
Fourier (Napoleon's mathematician), Evariste Galois,
Georg Cantor, Ramanujan, and `Nicholas Bourbaki,' we
gather little known details about the alliances and
rivalries that profoundly impacted the development of
what the scheming doctor-turned-mathematician Geronimo
Girolamo called `The Great Art'. This story of
mathematics is not your dry `college textbook' account;
tales of duels, battlefield heroism, flamboyant
arrogance, pranks, secret societies, imprisonment,
feuds, theft, and even some fatal errors of judgment
fill these pages (clearly, genius doesn't guarantee
street smarts). Ultimately, readers will come away from
this book entertained, with a newfound appreciation of
the tenacity, complexity, eccentricity, and brilliance
of the mathematical genius",
acknowledgement = ack-nhfb,
subject = "Mathematics; History; Mathematicians",
tableofcontents = "Hellenic foundations \\
God is number \\
Plato's Academy \\
Alexandria \\
The East \\
The House of Wisdom \\
Medieval China \\
Renaissance mathematics \\
Italian shenanigans \\
Heresy \\
To calculus and beyond \\
The gentleman soldier \\
The greatest rivalry \\
Geniuses of the Enlightenment \\
Upheaval in France \\
Napoleon's mathematicians \\
Duel at dawn \\
Toward a new mathematics \\
Infinity and mental illness \\
Unlikely heroes \\
The strangest wilderness",
}
@InCollection{Barrale:2011:SID,
author = "Tom Barrale and R. Hendel and Michael Sluys",
booktitle = "{Proceedings of the 14th international conference on
Fibonacci numbers and their applications, Morelia,
Mexico, July 5--9, 2010}",
title = "Sequences of the initial digits of {Fibonacci}
numbers",
publisher = "Sociedad Matem\'atica Mexicana",
address = "M{\'e}xico, DF, M{\'e}xico",
pages = "25--42",
year = "2011",
ISBN = "607-02-2543-0 (paperback)",
ISBN-13 = "978-607-02-2543-7 (paperback)",
MRnumber = "11B37 11B39",
bibdate = "Sat Sep 10 10:27:11 2016",
bibsource = "https://www.math.utah.edu/pub/tex/bib/benfords-law.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
ZMnumber = "1287.11017",
acknowledgement = ack-nhfb,
keywords = "Benford's Law; Fibonacci numbers",
}
@Article{Becker:2011:BLC,
author = "T. Becker and A. Greaves-Tunnell and S. J. Miller and
R. Ronan and F. W. Strauch",
title = "{Benford's Law} and Continuous Dependent Random
Variables",
journal = "ArXiv e-prints",
month = nov,
year = "2011",
CODEN = "????",
ISSN = "????",
bibdate = "Mon Nov 14 17:50:20 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/benfords-law.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://adsabs.harvard.edu/abs/2011arXiv1111.0568B;
http://arxiv.org/abs/1111.0568",
abstract = "Many systems exhibit a digit bias. For example, the
first digit base 10 of the Fibonacci numbers, or of $
2^n $, equals 1 not 10\% or 11\% of the time, as one
would expect if all digits were equally likely, but
about 30\% of the time. This phenomenon, known as
Benford's Law, has many applications, ranging from
detecting tax fraud for the IRS to analyzing round-off
errors in computer science.\par
The central question is determining which data sets
follow Benford's law. Inspired by natural processes
such as particle decay, our work examines models for
the decomposition of conserved quantities. We prove
that in many instances the distribution of lengths of
the resulting pieces converges to Benford behavior as
the number of divisions grow. The main difficulty is
that the resulting random variables are dependent,
which we handle by a careful analysis of the
dependencies and tools from Fourier analysis to obtain
quantified convergence rates.",
acknowledgement = ack-nhfb,
archiveprefix = "arXiv",
eprint = "1111.0568",
keywords = "Mathematics - Probability, 11K06, 60A10 (primary),
60E10 (secondary)",
primaryclass = "math.PR",
}
@TechReport{Beebe:2011:CBPy,
author = "Nelson H. F. Beebe",
title = "A Complete Bibliography of Publications in {{\em The
Fibonacci Quarterly}}",
institution = inst-UTAH-MATH,
address = inst-UTAH-MATH:adr,
pages = "550",
day = "21",
month = oct,
year = "2011",
bibdate = "Thu Nov 10 12:02:27 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/beebe-nelson-h-f.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "https://www.math.utah.edu/pub/tex/bib/index-table-f.html#fibquart",
}
@Article{Castro:2011:DNP,
author = "Aline Castro and Sandi Klavzar and Michel Mollard and
Yoomi Rho",
title = "On the domination number and the $2$-packing number of
{Fibonacci} cubes and {Lucas} cubes",
journal = j-COMPUT-MATH-APPL,
volume = "61",
number = "9",
pages = "2655--2660",
month = may,
year = "2011",
CODEN = "CMAPDK",
ISSN = "0898-1221 (print), 1873-7668 (electronic)",
ISSN-L = "0898-1221",
bibdate = "Wed Mar 1 21:50:54 MST 2017",
bibsource = "https://www.math.utah.edu/pub/tex/bib/computmathappl2010.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0898122111001647",
acknowledgement = ack-nhfb,
fjournal = "Computers and Mathematics with Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/08981221",
}
@Article{daFonseca:2011:SOQ,
author = "C. M. da Fonseca",
title = "Some open questions on the {Fibonacci} polytope",
journal = j-LIN-MULT-ALGEBRA,
volume = "59",
number = "3",
pages = "317--??",
year = "2011",
CODEN = "LNMLAZ",
DOI = "https://doi.org/10.1080/03081080903483251",
ISSN = "0308-1087 (print), 1563-5139 (electronic)",
ISSN-L = "0308-1087",
bibdate = "Tue Sep 20 15:13:37 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/linmultalgebra.bib",
acknowledgement = ack-nhfb,
fjournal = "Linear Multilinear Algebra",
journal-URL = "http://www.tandfonline.com/loi/glma20",
onlinedate = "25 Feb 2011",
}
@Article{Dalton:2011:SBG,
author = "Barnaby Dalton and Mustazee Rahman and Stephen Tanny",
title = "Spot-Based Generations for Meta-{Fibonacci}
Sequences",
journal = j-EXP-MATH,
volume = "20",
number = "2",
pages = "129--137",
month = "????",
year = "2011",
CODEN = "????",
DOI = "https://doi.org/10.1080/10586458.2011.544565",
ISSN = "1058-6458 (print), 1944-950X (electronic)",
ISSN-L = "1058-6458",
bibdate = "Mon Mar 5 15:46:22 MST 2012",
bibsource = "http://projecteuclid.org/euclid.em;
http://www.tandfonline.com/toc/uexm20/20/2;
https://www.math.utah.edu/pub/tex/bib/expmath.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://projecteuclid.org/euclid.em/1317924404",
acknowledgement = ack-nhfb,
fjournal = "Experimental Mathematics",
journal-URL = "http://www.tandfonline.com/loi/uexm20",
onlinedate = "14 Oct 2011",
}
@Article{Dziok:2011:CFR,
author = "Jacek Dziok and Ravinder Krishna Raina and Janusz
Sok{\'o}l",
title = "On $ \alpha $-convex functions related to shell-like
functions connected with {Fibonacci} numbers",
journal = j-APPL-MATH-COMP,
volume = "218",
number = "3",
pages = "996--1002",
day = "1",
month = oct,
year = "2011",
CODEN = "AMHCBQ",
DOI = "https://doi.org/10.1016/j.amc.2011.01.059",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Tue Oct 25 09:02:50 MDT 2011",
bibsource = "http://www.sciencedirect.com/science/journal/00963003;
https://www.math.utah.edu/pub/tex/bib/applmathcomput2010.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "Special Issue in Honour of Hari M. Srivastava on his
70th birth anniversary.",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300311000865",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@Article{Dziok:2011:CRC,
author = "Jacek Dziok and Ravinder Krishna Raina and Janusz
Sok{\'o}l",
title = "Certain results for a class of convex functions
related to a shell-like curve connected with
{Fibonacci} numbers",
journal = j-COMPUT-MATH-APPL,
volume = "61",
number = "9",
pages = "2605--2613",
month = may,
year = "2011",
CODEN = "CMAPDK",
ISSN = "0898-1221 (print), 1873-7668 (electronic)",
ISSN-L = "0898-1221",
bibdate = "Wed Mar 1 21:50:54 MST 2017",
bibsource = "https://www.math.utah.edu/pub/tex/bib/computmathappl2010.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S089812211100157X",
acknowledgement = ack-nhfb,
fjournal = "Computers and Mathematics with Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/08981221",
}
@Article{Feng:2011:FID,
author = "Jishe Feng",
title = "{Fibonacci} identities via the determinant of
tridiagonal matrix",
journal = j-APPL-MATH-COMP,
volume = "217",
number = "12",
pages = "5978--5981",
day = "15",
month = feb,
year = "2011",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Wed Mar 30 09:13:15 MDT 2011",
bibsource = "http://www.sciencedirect.com/science/journal/00963003;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@Article{Gauthier:2011:FPI,
author = "N. Gauthier",
title = "95.50 {Fractional}-power identities for {Fibonacci}
and {Lucas} polynomials and numbers",
journal = j-MATH-GAZ,
volume = "95",
number = "534",
pages = "486--494",
month = nov,
year = "2011",
CODEN = "MAGAAS",
DOI = "https://doi.org/10.2307/3621679",
ISSN = "0025-5572 (print), 2056-6328 (electronic)",
ISSN-L = "0025-5572",
bibdate = "Tue May 5 12:04:18 MDT 2015",
bibsource = "http://journals.cambridge.org/action/displayIssue?jid=MAG&volumeId=95&issueId=534;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/mathgaz2010.bib",
acknowledgement = ack-nhfb,
ajournal = "Math. Gaz.",
fjournal = "The Mathematical Gazette",
journal-URL = "http://journals.cambridge.org/action/displayBackIssues?jid=MAG",
}
@Article{Han:2011:APF,
author = "Jeong Soon Han and Hee Sik Kim and J. Neggers",
title = "Acknowledgment of priority: {``The Fibonacci-norm of a
positive integer: Observations and conjectures''}",
journal = j-INT-J-NUMBER-THEORY,
volume = "7",
number = "3",
pages = "853--854",
month = may,
year = "2011",
DOI = "https://doi.org/10.1142/S1793042111004927",
ISSN = "1793-0421 (print), 1793-7310 (electronic)",
ISSN-L = "1793-0421",
bibdate = "Tue Jul 21 10:01:25 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/ijnt.bib",
note = "See \cite{Han:2010:FNP}.",
URL = "https://www.worldscientific.com/doi/10.1142/S1793042111004927",
acknowledgement = ack-nhfb,
fjournal = "International Journal of Number Theory (IJNT)",
journal-URL = "https://www.worldscientific.com/worldscinet/ijnt",
}
@Article{Hannah:2011:CRP,
author = "John Hannah",
title = "Conventions for recreational problems in {Fibonacci}'s
{{\booktitle{Liber Abbaci}}}",
journal = j-ARCH-HIST-EXACT-SCI,
volume = "65",
number = "2",
pages = "155--180",
month = mar,
year = "2011",
CODEN = "AHESAN",
ISSN = "0003-9519 (print), 1432-0657 (electronic)",
ISSN-L = "0003-9519",
bibdate = "Tue Jul 5 16:56:44 MDT 2011",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=????&volume=65&issue=2;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=????&volume=65&issue=2&spage=155",
acknowledgement = ack-nhfb,
fjournal = "Archive for History of Exact Sciences",
journal-URL = "http://link.springer.com/journal/407",
}
@Article{Inoue:2011:BFP,
author = "Kiyoshi Inoue and Sigeo Aki",
title = "Bivariate {Fibonacci} polynomials of order $k$ with
statistical applications",
journal = j-ANN-INST-STAT-MATH-TOKYO,
volume = "63",
number = "1",
pages = "197--210",
month = feb,
year = "2011",
CODEN = "AISXAD",
DOI = "https://doi.org/10.1007/s10463-008-0217-x",
ISSN = "0020-3157 (print), 1572-9052 (electronic)",
ISSN-L = "0020-3157",
bibdate = "Sat Jan 31 16:59:49 MST 2015",
bibsource = "https://www.math.utah.edu/pub/tex/bib/anninststatmath.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://link.springer.com/article/10.1007/s10463-008-0217-x",
acknowledgement = ack-nhfb,
fjournal = "Annals of the Institute of Statistical Mathematics",
journal-URL = "http://link.springer.com/journal/10463",
}
@Article{Ipek:2011:SNC,
author = "Ahmet {\.I}pek",
title = "On the spectral norms of circulant matrices with
classical {Fibonacci} and {Lucas} numbers entries",
journal = j-APPL-MATH-COMP,
volume = "217",
number = "12",
pages = "6011--6012",
day = "15",
month = feb,
year = "2011",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Wed Mar 30 09:13:15 MDT 2011",
bibsource = "http://www.sciencedirect.com/science/journal/00963003;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@Article{Lan:2011:NCG,
author = "Yueheng Lan",
title = "Novel Computation of the Growth Rate of Generalized
Random {Fibonacci} Sequences",
journal = j-J-STAT-PHYS,
volume = "142",
number = "4",
pages = "847--861",
month = feb,
year = "2011",
CODEN = "JSTPSB",
DOI = "https://doi.org/10.1007/s10955-011-0132-z",
ISSN = "0022-4715 (print), 1572-9613 (electronic)",
ISSN-L = "0022-4715",
bibdate = "Thu Aug 28 19:16:35 MDT 2014",
bibsource = "http://link.springer.com/journal/10955;
http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0022-4715&volume=142&issue=4;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jstatphys2010.bib",
URL = "http://link.springer.com/article/10.1007/s10955-011-0132-z",
acknowledgement = ack-nhfb,
fjournal = "Journal of Statistical Physics",
journal-URL = "http://link.springer.com/journal/10955",
}
@Article{Luca:2011:FI,
author = "Florian Luca and Carl Pomerance and Stephan Wagner",
title = "{Fibonacci} integers",
journal = j-J-NUMBER-THEORY,
volume = "131",
number = "3",
pages = "440--457",
month = mar,
year = "2011",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/j.jnt.2010.09.010",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Wed Jul 15 08:48:46 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jnumbertheory2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0022314X10002507",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
}
@Article{Ma:2011:IIG,
author = "Shi-Mei Ma",
title = "Identities involving generalized {Fibonacci}-type
polynomials",
journal = j-APPL-MATH-COMP,
volume = "217",
number = "22",
pages = "9297--9301",
day = "15",
month = jul,
year = "2011",
CODEN = "AMHCBQ",
DOI = "https://doi.org/10.1016/j.amc.2011.04.012",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Tue Oct 25 12:05:36 MDT 2011",
bibsource = "http://www.sciencedirect.com/science/journal/00963003;
https://www.math.utah.edu/pub/tex/bib/applmathcomput2010.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300311005674",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@Article{Milatovic:2011:POT,
author = "Ognjen Milatovic",
title = "95.21 {A} property of odd terms of a generalised
{Fibonacci} sequence",
journal = j-MATH-GAZ,
volume = "95",
number = "533",
pages = "262--264",
month = jul,
year = "2011",
CODEN = "MAGAAS",
DOI = "https://doi.org/10.1017/S0025557200002989",
ISSN = "0025-5572 (print), 2056-6328 (electronic)",
ISSN-L = "0025-5572",
bibdate = "Tue May 5 12:04:16 MDT 2015",
bibsource = "http://journals.cambridge.org/action/displayIssue?jid=MAG&volumeId=95&issueId=533;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/mathgaz2010.bib",
acknowledgement = ack-nhfb,
ajournal = "Math. Gaz.",
fjournal = "The Mathematical Gazette",
journal-URL = "http://journals.cambridge.org/action/displayBackIssues?jid=MAG",
}
@Article{Remis:2011:RBF,
author = "Rob F. Remis",
title = "On the relation between {FDTD} and {Fibonacci}
polynomials",
journal = j-J-COMPUT-PHYS,
volume = "230",
number = "4",
pages = "1382--1386",
day = "20",
month = feb,
year = "2011",
CODEN = "JCTPAH",
DOI = "https://doi.org/10.1016/j.jcp.2010.11.009",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
bibdate = "Sat Dec 31 11:59:00 MST 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jcomputphys2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S002199911000611X",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational Physics",
journal-URL = "http://www.sciencedirect.com/science/journal/00219991/",
}
@Article{Routledge:2011:GFP,
author = "Norman Routledge",
title = "95.49 {Generalised} {Fibonacci} Properties",
journal = j-MATH-GAZ,
volume = "95",
number = "534",
pages = "483--486",
month = nov,
year = "2011",
CODEN = "MAGAAS",
DOI = "https://doi.org/10.2307/3621152",
ISSN = "0025-5572 (print), 2056-6328 (electronic)",
ISSN-L = "0025-5572",
bibdate = "Tue May 5 12:04:18 MDT 2015",
bibsource = "http://journals.cambridge.org/action/displayIssue?jid=MAG&volumeId=95&issueId=534;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/mathgaz2010.bib",
acknowledgement = ack-nhfb,
ajournal = "Math. Gaz.",
fjournal = "The Mathematical Gazette",
journal-URL = "http://journals.cambridge.org/action/displayBackIssues?jid=MAG",
}
@Article{Shen:2011:DIC,
author = "Shou-Qiang Shen and Jian-Miao Cen and Yong Hao",
title = "On the determinants and inverses of circulant matrices
with {Fibonacci} and {Lucas} numbers",
journal = j-APPL-MATH-COMP,
volume = "217",
number = "23",
pages = "9790--9797",
day = "1",
month = aug,
year = "2011",
CODEN = "AMHCBQ",
DOI = "https://doi.org/10.1016/j.amc.2011.04.072",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Tue Oct 25 12:05:42 MDT 2011",
bibsource = "http://www.sciencedirect.com/science/journal/00963003;
https://www.math.utah.edu/pub/tex/bib/applmathcomput2010.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300311006424",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@Article{Tuglu:2011:BFL,
author = "Naim Tuglu and E. Gokcen Kocer and Alexey Stakhov",
title = "Bivariate {Fibonacci} like $p$-polynomials",
journal = j-APPL-MATH-COMP,
volume = "217",
number = "24",
pages = "10239--10246",
day = "15",
month = aug,
year = "2011",
CODEN = "AMHCBQ",
DOI = "https://doi.org/10.1016/j.amc.2011.05.022",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Tue Oct 25 12:05:45 MDT 2011",
bibsource = "http://www.sciencedirect.com/science/journal/00963003;
https://www.math.utah.edu/pub/tex/bib/applmathcomput2010.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300311006771",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@Article{Ulivi:2011:LFM,
author = "Elisabetta Ulivi",
title = "On {Leonardo Fibonacci} and on masters of the abacus
in {Pisa} from the thirteenth to the fifteenth
century",
journal = j-BOLL-STOR-SCI-MAT,
volume = "31",
number = "2",
pages = "247--286",
year = "2011",
ISSN = "0392-4432 (print), 1724-1650 (electronic)",
ISSN-L = "0392-4432",
MRclass = "01A70 (01A35)",
MRnumber = "2934359",
bibdate = "Thu Jan 31 06:27:48 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Bollettino di Storia delle Scienze Matematiche",
}
@Article{Winkler:2011:LBPe,
author = "Peter Winkler",
title = "Last Byte: Puzzled: Uncommon Divisors",
journal = j-CACM,
volume = "54",
number = "8",
pages = "120--120",
month = aug,
year = "2011",
CODEN = "CACMA2",
DOI = "https://doi.org/10.1145/1978542.1978567",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Wed Aug 17 15:27:45 MDT 2011",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
https://www.math.utah.edu/pub/tex/bib/cacm2010.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "divisibility ($n|m$ means that $n$ divides $m$ without
remainder); Fibonacci numbers",
}
@Article{Yayenie:2011:NGF,
author = "Omer Yayenie",
title = "A note on generalized {Fibonacci} sequences",
journal = j-APPL-MATH-COMP,
volume = "217",
number = "12",
pages = "5603--5611",
day = "15",
month = feb,
year = "2011",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Wed Mar 30 09:13:15 MDT 2011",
bibsource = "http://www.sciencedirect.com/science/journal/00963003;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@Article{Bozkurt:2012:DIC,
author = "Durmus Bozkurt and Tin-Yau Tam",
title = "Determinants and inverses of circulant matrices with
{Jacobsthal} and {Jacobsthal--Lucas Numbers}",
journal = j-APPL-MATH-COMP,
volume = "219",
number = "2",
pages = "544--551",
day = "1",
month = oct,
year = "2012",
CODEN = "AMHCBQ",
DOI = "https://doi.org/10.1016/j.amc.2012.06.039",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Mon Aug 20 14:37:57 MDT 2012",
bibsource = "http://www.sciencedirect.com/science/journal/00963003;
https://www.math.utah.edu/pub/tex/bib/applmathcomput2010.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300312006388",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@InProceedings{Brodal:2012:SFH,
author = "Gerth St{\o}lting Brodal and George Lagogiannis and
Robert E. Tarjan",
title = "Strict {Fibonacci} heaps",
crossref = "ACM:2012:SPA",
pages = "1177--1184",
year = "2012",
DOI = "https://doi.org/10.1145/2213977.2214082",
bibdate = "Thu Nov 8 19:11:58 MST 2012",
bibsource = "http://portal.acm.org/;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/stoc2010.bib",
abstract = "We present the first pointer-based heap implementation
with time bounds matching those of Fibonacci heaps in
the worst case. We support make-heap, insert, find-min,
meld and decrease-key in worst-case $ O(1) $ time, and
delete and delete-min in worst-case $ O(\lg n) $ time,
where $n$ is the size of the heap. The data structure
uses linear space. A previous, very complicated,
solution achieving the same time bounds in the RAM
model made essential use of arrays and extensive use of
redundant counter schemes to maintain balance. Our
solution uses neither. Our key simplification is to
discard the structure of the smaller heap when doing a
meld. We use the pigeonhole principle in place of the
redundant counter mechanism.",
acknowledgement = ack-nhfb,
}
@Article{Chen:2012:HSM,
author = "Hongwei Chen and Chris Kennedy",
title = "Harmonic Series Meets {Fibonacci} Sequence",
journal = j-COLLEGE-MATH-J,
volume = "43",
number = "3",
pages = "237--243",
month = may,
year = "2012",
CODEN = "????",
DOI = "https://doi.org/10.4169/college.math.j.43.3.237",
ISSN = "0746-8342 (print), 1931-1346 (electronic)",
ISSN-L = "0746-8342",
bibdate = "Thu Feb 14 10:15:21 MST 2019",
bibsource = "https://www.math.utah.edu/pub/tex/bib/collegemathj.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.tandfonline.com/doi/abs/10.4169/college.math.j.43.3.237",
acknowledgement = ack-nhfb,
fjournal = "College Mathematics Journal",
journal-URL = "https://maa.tandfonline.com/loi/ucmj20;
https://www.jstor.org/journal/collmathj",
onlinedate = "28 Nov 2017",
}
@Article{Christensen:2012:GFN,
author = "S{\"o}ren Christensen",
title = "Generalized {Fibonacci} numbers and {Blackwell}'s
renewal theorem",
journal = j-STAT-PROB-LETT,
volume = "82",
number = "9",
pages = "1665--1668",
month = sep,
year = "2012",
CODEN = "SPLTDC",
ISSN = "0167-7152 (print), 1879-2103 (electronic)",
ISSN-L = "0167-7152",
bibdate = "Sun Jun 1 11:18:52 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/statproblett2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S016771521200168X",
acknowledgement = ack-nhfb,
fjournal = "Statistics \& Probability Letters",
journal-URL = "http://www.sciencedirect.com/science/journal/01677152",
}
@Article{Chuan:2012:FWP,
author = "Wai-Fong Chuan and Fang-Yi Liao and Hui-Ling Ho and
Fei Yu",
title = "{Fibonacci} word patterns in two-way infinite
{Fibonacci} words",
journal = j-THEOR-COMP-SCI,
volume = "437",
number = "1",
pages = "69--81",
day = "15",
month = jun,
year = "2012",
CODEN = "TCSCDI",
DOI = "https://doi.org/10.1016/j.tcs.2012.02.020",
ISSN = "0304-3975 (print), 1879-2294 (electronic)",
ISSN-L = "0304-3975",
bibdate = "Sat Apr 28 09:42:45 MDT 2012",
bibsource = "http://www.sciencedirect.com/science/journal/03043975;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/tcs2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0304397512001612",
acknowledgement = ack-nhfb,
fjournal = "Theoretical Computer Science",
journal-URL = "http://www.sciencedirect.com/science/journal/03043975/",
}
@Misc{Clark:2012:RLA,
author = "Liat Clark and Ian Steadman",
title = "The Rich Legacy of {Alan Turing}",
howpublished = "Wired UK Web site.",
day = "18",
month = jun,
year = "2012",
bibdate = "Wed Jun 20 10:22:53 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/turing-alan-mathison.bib;
https://www.math.utah.edu/pub/tex/bib/cryptography2010.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.wired.com/wiredscience/2012/06/alan-turing-legacy/",
acknowledgement = ack-nhfb,
keywords = "Delilah telephone encoder/decoder; Fibonacci sequence;
Manchester Mark 1; morphogenesis; MOSAIC (Ministry of
Supply Automatic Integrator and Computer); National
Physical Laboratory (NPL); Naval Bombe; Pilot ACE
(Automatic Computing Engine); SIGSALY telephone
encoder/decoder; speech encryption; Turbochamp
(computer chess); Turing machine",
remark = "From the article: ``Alan Turing [in 1943] had
developed the Naval Bombe, an adaptation of his
decryption Bombe device capable of laying bare the
secrets of the complex German Naval Enigma. Churchill
would later comment that Turing had made the single
biggest contribution to Allied victory in the war.''",
}
@InCollection{Devlin:2012:RML,
author = "Keith Devlin",
booktitle = "Recreational {Mathematics Colloquium II}",
title = "Recreational mathematics in {Leonardo of Pisa}'s
{{\booktitle{Liber abbaci}}}",
publisher = "Assoc. Ludus, Lisbon",
pages = "67--78",
year = "2012",
MRclass = "01A35 (00A08)",
MRnumber = "2932092",
MRreviewer = "Michael A. B. Deakin",
bibdate = "Thu Jan 31 06:27:48 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
}
@InCollection{Gorroochurn:2012:BPB,
author = "Prakash Gorroochurn",
title = "{Benford} and the Peculiar Behavior of the First
Significant Digit (1938)",
crossref = "Gorroochurn:2012:CPP",
chapter = "27",
pages = "233--239",
year = "2012",
DOI = "https://doi.org/10.1002/9781118314340.ch27",
bibdate = "Sat Feb 23 17:26:17 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/benfords-law.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
keywords = "(Benford) distribution; a distribution of
distributions; and Benford's law; Benford and the
peculiar behavior of the first significant digit
(1938); First 100 Fibonacci Numbers; first-digit law or
Benford's law; scale invariance; the leading digit and
its behavior",
}
@Article{Hajdu:2012:GCT,
author = "L. Hajdu and M. Szikszai",
title = "On the {GCD}-s of $k$ consecutive terms of {Lucas}
sequences",
journal = j-J-NUMBER-THEORY,
volume = "132",
number = "12",
pages = "3056--3069",
month = dec,
year = "2012",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/j.jnt.2012.05.022",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Wed Jul 15 08:48:56 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jnumbertheory2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0022314X12001734",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
}
@Article{Hanlon:2012:TFT,
author = "Michael Hanlon",
title = "{Turing}'s flower theory blossoms",
journal = "{The Times [London]}",
day = "28",
month = oct,
year = "2012",
bibdate = "Sat Sep 20 10:06:06 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/turing-alan-mathison.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.biba",
URL = "http://www.thesundaytimes.co.uk/sto/news/uk_news/Environment/article1156602.ece",
acknowledgement = ack-nhfb,
keywords = "Fibonacci phyllotaxis (the name given to the links
found between the growth of plant structures and a
sequence of numbers described in 1202 by Fibonacci, an
Italian mathematician)",
remark = "The story begins: ``A Theory put forward by Alan
Turing, the man who helped to crack the Nazis' Enigma
code, linking the way plants grow to an early
13th-century mathematical formula, has been vindicated
by scientists almost 50 years after the codebreaker's
death.'' The story includes a photograph captioned
``Turing believed patterns on sunflower heads featured
Fibonacci numbers'' [The Alan Turing sculpture (Peter
Vallance)].",
}
@Article{Hannah:2012:MNF,
author = "John Hannah",
title = "{{\booktitle{The man of numbers: Fibonacci's
arithmetic revolution}}} [book review, {Walker and Co.,
New York, NY}, 2011]",
journal = j-NAMS,
volume = "59",
number = "5",
pages = "661--664",
month = may,
year = "2012",
CODEN = "AMNOAN",
DOI = "https://doi.org/10.1090/noti844",
ISSN = "0002-9920 (print), 1088-9477 (electronic)",
ISSN-L = "0002-9920",
MRclass = "00A17",
MRnumber = "2954296",
bibdate = "Thu Aug 15 07:17:02 2024",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/nams2010.bib",
acknowledgement = ack-nhfb,
ajournal = "Notices Amer. Math. Soc.",
fjournal = "Notices of the American Mathematical Society",
journal-URL = "http://www.ams.org/notices/",
}
@Article{Leiserson:2012:DPR,
author = "Charles E. Leiserson and Tao B. Schardl and Jim
Sukha",
title = "Deterministic parallel random-number generation for
dynamic-multithreading platforms",
journal = j-SIGPLAN,
volume = "47",
number = "8",
pages = "193--204",
month = aug,
year = "2012",
CODEN = "SINODQ",
DOI = "https://doi.org/10.1145/2370036.2145841",
ISSN = "0362-1340 (print), 1523-2867 (print), 1558-1160
(electronic)",
ISSN-L = "0362-1340",
bibdate = "Wed Sep 12 12:11:57 MDT 2012",
bibsource = "http://portal.acm.org/;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/multithreading.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
https://www.math.utah.edu/pub/tex/bib/sigplan2010.bib",
note = "PPOPP '12 conference proceedings.",
abstract = "Existing concurrency platforms for dynamic
multithreading do not provide repeatable parallel
random-number generators. This paper proposes that a
mechanism called pedigrees be built into the runtime
system to enable efficient deterministic parallel
random-number generation. Experiments with the
open-source MIT Cilk runtime system show that the
overhead for maintaining pedigrees is negligible.
Specifically, on a suite of 10 benchmarks, the relative
overhead of Cilk with pedigrees to the original Cilk
has a geometric mean of less than 1\%. We persuaded
Intel to modify its commercial C/C++ compiler, which
provides the Cilk Plus concurrency platform, to include
pedigrees, and we built a library implementation of a
deterministic parallel random-number generator called
DotMix that compresses the pedigree and then
``RC6-mixes'' the result. The statistical quality of
DotMix is comparable to that of the popular Mersenne
twister, but somewhat slower than a nondeterministic
parallel version of this efficient and high-quality
serial random-number generator. The cost of calling
DotMix depends on the ``spawn depth'' of the
invocation. For a naive Fibonacci calculation with n=40
that calls DotMix in every node of the computation,
this ``price of determinism'' is a factor of 2.65 in
running time, but for more realistic applications with
less intense use of random numbers --- such as a
maximal-independent-set algorithm, a practical
samplesort program, and a Monte Carlo discrete-hedging
application from QuantLib --- the observed ``price''
was less than 5\%. Moreover, even if overheads were
several times greater, applications using DotMix should
be amply fast for debugging purposes, which is a major
reason for desiring repeatability.",
acknowledgement = ack-nhfb,
fjournal = "ACM SIGPLAN Notices",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J706",
}
@Article{Li:2012:FHM,
author = "Hsuan-Chu Li",
title = "On {Fibonacci--Hessenberg} matrices and the {Pell} and
{Perrin} numbers",
journal = j-APPL-MATH-COMP,
volume = "218",
number = "17",
pages = "8353--8358",
day = "1",
month = may,
year = "2012",
CODEN = "AMHCBQ",
DOI = "https://doi.org/10.1016/j.amc.2012.01.062",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Thu Apr 5 06:00:26 MDT 2012",
bibsource = "http://www.sciencedirect.com/science/journal/00963003;
https://www.math.utah.edu/pub/tex/bib/applmathcomput2010.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300312001087",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@Article{Petronilho:2012:GFS,
author = "J. Petronilho",
title = "Generalized {Fibonacci} sequences via orthogonal
polynomials",
journal = j-APPL-MATH-COMP,
volume = "218",
number = "19",
pages = "9819--9824",
day = "1",
month = jun,
year = "2012",
CODEN = "AMHCBQ",
DOI = "https://doi.org/10.1016/j.amc.2012.03.053",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Tue May 1 10:56:30 MDT 2012",
bibsource = "http://www.sciencedirect.com/science/journal/00963003;
https://www.math.utah.edu/pub/tex/bib/applmathcomput2010.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300312002925",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@Article{Pinter:2012:APR,
author = "{\'A}kos Pint{\'e}r and Volker Ziegler",
title = "On arithmetic progressions in recurrences --- a new
characterization of the {Fibonacci} sequence",
journal = j-J-NUMBER-THEORY,
volume = "132",
number = "8",
pages = "1686--1706",
month = aug,
year = "2012",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/j.jnt.2012.02.014",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Wed Jul 15 08:48:54 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jnumbertheory2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0022314X12000728",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
}
@Article{Ray:2012:PHI,
author = "B. N. B. Ray and Alok Ranjan Tripathy and S. P.
Mohanty",
title = "Parallel {Hermite} Interpolation on Extended
{Fibonacci} Cubes",
journal = j-INT-J-COMP-APPL,
volume = "54",
number = "??",
pages = "36--41",
month = sep,
year = "2012",
CODEN = "????",
DOI = "https://doi.org/10.5120/8661-2534",
ISSN = "0975-8887",
ISSN-L = "0975-8887",
bibdate = "Fri Jan 24 08:49:03 MST 2025",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/intjcompappl.bib",
URL = "https://www.ijcaonline.org/archives/volume54/number17/8661-2534/",
acknowledgement = ack-nhfb,
ajournal = "Intern. J. of Computer Applications",
articleno = "17",
fjournal = "International Journal of Computer Applications",
journal-URL = "https://www.ijcaonline.org/",
}
@Article{Salomaa:2012:SOW,
author = "Arto Salomaa",
title = "Subword occurrences, weighted automata and iterated
morphisms, especially the {Fibonacci} morphism",
journal = j-THEOR-COMP-SCI,
volume = "432",
number = "1",
pages = "85--93",
day = "11",
month = may,
year = "2012",
CODEN = "TCSCDI",
DOI = "https://doi.org/10.1016/j.tcs.2012.01.017",
ISSN = "0304-3975 (print), 1879-2294 (electronic)",
ISSN-L = "0304-3975",
bibdate = "Fri Apr 6 10:37:38 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/tcs2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0304397512000539",
acknowledgement = ack-nhfb,
fjournal = "Theoretical Computer Science",
journal-URL = "http://www.sciencedirect.com/science/journal/03043975/",
}
@Article{Seyfarth:2012:CMU,
author = "Ulrich Seyfarth and Kedar S. Ranade",
title = "Cyclic mutually unbiased bases, {Fibonacci}
polynomials and {Wiedemann}'s conjecture",
journal = j-J-MATH-PHYS,
volume = "53",
number = "6",
pages = "062201",
month = jun,
year = "2012",
CODEN = "JMAPAQ",
DOI = "https://doi.org/10.1063/1.4723825",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
bibdate = "Thu Nov 8 12:34:32 MST 2012",
bibsource = "http://jmp.aip.org/;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphys2010.bib",
URL = "http://jmp.aip.org/resource/1/jmapaq/v53/i6/p062201_s1",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://scitation.aip.org/content/aip/journal/jmp/browse",
onlinedate = "5 June 2012",
}
@Article{AragonArtacho:2013:WRN,
author = "Francisco {Arag{\'o}n Artacho} and David H. Bailey and
Jonathan M. Borwein and Peter B. Borwein",
title = "Walking on Real Numbers",
journal = j-MATH-INTEL,
volume = "35",
number = "1",
pages = "42--60",
month = mar,
year = "2013",
CODEN = "MAINDC",
DOI = "https://doi.org/10.1007/s00283-012-9340-x",
ISSN = "0343-6993 (print), 1866-7414 (electronic)",
ISSN-L = "0343-6993",
bibdate = "Fri Mar 15 11:52:16 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/pi.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://gigapan.com/gigapans/106803;
http://www.davidhbailey.com/dhbpapers/tools-walk.pdf",
acknowledgement = ack-nhfb,
fjournal = "The Mathematical Intelligencer",
journal-URL = "http://link.springer.com/journal/283",
keywords = "Catalan's constant; Champernowne numbers; continued
fractions; Copeland--Erd{\H{o}}s numbers; DNA genome
numbers; dragon curves; Erd{\H{o}}s--Borwein numbers;
Euler--Mascherino constant ($\gamma$); expected
random-walk distance; exponential constant ($e$);
Fibonacci constant ($F$); Gauss--Kuzmin distribution;
irrational numbers; Koch snowflakes; Liouville number
($\lambda_2$); logarithmic constant ($\log 2$);
Minkowski--Bouligand dimension; normal numbers;
normalized random-walk distance; paper-folding
constant; paper-folding numbers; pi (number); random
walks; Riemann zeta numbers ($\zeta(n)$);
self-similarity; Stoneham numbers; strong normality;
Thue--Morse numbers; transcendental numbers; turtle
plots",
}
@Article{Bravo:2013:CCG,
author = "Jhon J. Bravo and Florian Luca",
title = "Corrigendum to {``Coincidences in generalized
Fibonacci sequences'' [J. Number Theory {\bf 133} (6)
(2013) 2121--2137]}",
journal = j-J-NUMBER-THEORY,
volume = "133",
number = "9",
pages = "3205--3205",
month = sep,
year = "2013",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/j.jnt.2013.04.001",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Wed Jul 15 08:49:01 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jnumbertheory2010.bib",
note = "See \cite{Bravo:2013:CGF}.",
URL = "http://www.sciencedirect.com/science/article/pii/S0022314X13000929",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
}
@Article{Bravo:2013:CGF,
author = "Jhon J. Bravo and Florian Luca",
title = "Coincidences in generalized {Fibonacci} sequences",
journal = j-J-NUMBER-THEORY,
volume = "133",
number = "6",
pages = "2121--2137",
month = jun,
year = "2013",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/j.jnt.2012.11.006",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Wed Jul 15 08:49:00 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jnumbertheory2010.bib",
note = "See corrigendum \cite{Bravo:2013:CCG}.",
URL = "http://www.sciencedirect.com/science/article/pii/S0022314X13000073",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
}
@Article{Bravo:2013:LPF,
author = "Jhon J. Bravo and Florian Luca",
title = "On the largest prime factor of the $k$-{Fibonacci}
numbers",
journal = j-INT-J-NUMBER-THEORY,
volume = "9",
number = "5",
pages = "1351--1366",
month = aug,
year = "2013",
DOI = "https://doi.org/10.1142/S1793042113500309",
ISSN = "1793-0421 (print), 1793-7310 (electronic)",
ISSN-L = "1793-0421",
bibdate = "Tue Jul 21 10:23:24 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/ijnt.bib",
URL = "https://www.worldscientific.com/doi/10.1142/S1793042113500309",
abstract = "Let P(m) denote the largest prime factor of an integer
m \geq 2, and put P(0) = P(1) = 1. For an integer k
\geq 2, let be the k-generalized Fibonacci sequence
which starts with 0, \ldots, 0, 1 (k terms) and each
term afterwards is the sum of the k preceding terms.
Here, we show that if n \geq k+2, then. Furthermore, we
determine all the k-Fibonacci numbers whose largest
prime factor is less than or equal to 7.",
acknowledgement = ack-nhfb,
fjournal = "International Journal of Number Theory (IJNT)",
journal-URL = "https://www.worldscientific.com/worldscinet/ijnt",
}
@Article{Cai:2013:HAF,
author = "Jin-Yi Cai and Pinyan Lu and Mingji Xia",
title = "Holographic algorithms by {Fibonacci} gates",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "438",
number = "2",
pages = "690--707",
day = "15",
month = jan,
year = "2013",
CODEN = "LAAPAW",
DOI = "https://doi.org/10.1016/j.laa.2011.02.032",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibdate = "Tue Nov 20 06:38:08 MST 2012",
bibsource = "http://www.sciencedirect.com/science/journal/00243795;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/linala2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0024379511001625",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795",
}
@Article{Damanik:2013:OPU,
author = "David Damanik and Paul Munger and William N. Yessen",
title = "Orthogonal Polynomials on the Unit Circle with
{Fibonacci} {Verblunsky} Coefficients, {II}.
{Applications}",
journal = j-J-STAT-PHYS,
volume = "153",
number = "2",
pages = "339--362",
month = oct,
year = "2013",
CODEN = "JSTPSB",
DOI = "https://doi.org/10.1007/s10955-013-0830-9",
ISSN = "0022-4715 (print), 1572-9613 (electronic)",
ISSN-L = "0022-4715",
bibdate = "Thu Aug 28 19:23:22 MDT 2014",
bibsource = "http://link.springer.com/journal/10955;
http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0022-4715&volume=153&issue=2;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jstatphys2010.bib",
URL = "http://link.springer.com/article/10.1007/s10955-013-0830-9",
acknowledgement = ack-nhfb,
fjournal = "Journal of Statistical Physics",
journal-URL = "http://link.springer.com/journal/10955",
}
@Article{DiDomenico:2013:ISB,
author = "A. S. {Di Domenico}",
title = "Integer sequences that behave as {Fibonacci--Lucas}
pairs",
journal = j-MATH-GAZ,
volume = "97",
number = "538",
pages = "1--7",
month = mar,
year = "2013",
CODEN = "MAGAAS",
DOI = "https://doi.org/10.1017/S0025557200005362",
ISSN = "0025-5572 (print), 2056-6328 (electronic)",
ISSN-L = "0025-5572",
bibdate = "Tue May 5 12:04:26 MDT 2015",
bibsource = "http://journals.cambridge.org/action/displayIssue?jid=MAG&volumeId=97&issueId=538;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/mathgaz2010.bib",
acknowledgement = ack-nhfb,
ajournal = "Math. Gaz.",
fjournal = "The Mathematical Gazette",
journal-URL = "http://journals.cambridge.org/action/displayBackIssues?jid=MAG",
}
@Misc{Gies:2013:LP,
author = "Frances Carney Gies",
title = "{Leonardo Pisano}",
howpublished = "Encyclopedia Britannica online article.",
year = "2013",
bibdate = "Thu Jan 31 05:49:46 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.britannica.com/EBchecked/topic/336467/Leonardo-Pisano",
acknowledgement = ack-nhfb,
lastaccess = "31 January 2013",
}
@Article{Griffiths:2013:GRE,
author = "Martin Griffiths",
title = "From golden-ratio equalities to {Fibonacci} and
{Lucas} identities",
journal = j-MATH-GAZ,
volume = "97",
number = "539",
pages = "234--241",
month = jul,
year = "2013",
CODEN = "MAGAAS",
DOI = "https://doi.org/10.1017/S0025557200005829",
ISSN = "0025-5572 (print), 2056-6328 (electronic)",
ISSN-L = "0025-5572",
bibdate = "Tue May 5 12:04:27 MDT 2015",
bibsource = "http://journals.cambridge.org/action/displayIssue?jid=MAG&volumeId=97&issueId=539;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/mathgaz2010.bib",
acknowledgement = ack-nhfb,
ajournal = "Math. Gaz.",
fjournal = "The Mathematical Gazette",
journal-URL = "http://journals.cambridge.org/action/displayBackIssues?jid=MAG",
}
@Article{Gulec:2013:NAG,
author = "H. H. Gulec and N. Taskara and K. Uslu",
title = "A new approach to generalized {Fibonacci} and {Lucas}
numbers with binomial coefficients",
journal = j-APPL-MATH-COMP,
volume = "220",
number = "??",
pages = "482--486",
day = "1",
month = sep,
year = "2013",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Mon Dec 2 12:34:20 MST 2013",
bibsource = "http://www.sciencedirect.com/science/journal/00963003;
https://www.math.utah.edu/pub/tex/bib/applmathcomput2010.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300313005900",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@Article{Kaygisiz:2013:NMC,
author = "Kenan Kayg{\i}s{\i}z and Adem {\c{S}}ahin",
title = "A new method to compute the terms of generalized
order-$k$ {Fibonacci} numbers",
journal = j-J-NUMBER-THEORY,
volume = "133",
number = "9",
pages = "3119--3126",
month = sep,
year = "2013",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/j.jnt.2013.03.007",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Wed Jul 15 08:49:01 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jnumbertheory2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0022314X13000991",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
}
@Article{Kilic:2013:MIS,
author = "Emrah Kili{\c{c}} and Talha Arikan",
title = "More on the infinite sum of reciprocal {Fibonacci},
{Pell} and higher order recurrences",
journal = j-APPL-MATH-COMP,
volume = "219",
number = "14",
pages = "7783--7788",
day = "15",
month = mar,
year = "2013",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Wed Mar 27 06:37:07 MDT 2013",
bibsource = "http://www.sciencedirect.com/science/journal/00963003;
https://www.math.utah.edu/pub/tex/bib/applmathcomput2010.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300313001197",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@Article{Kurt:2013:FCM,
author = "Ay{\c{s}}e Kurt and Salih Yal{\c{c}}{\i}nba{\c{s}} and
Mehmet Sezer",
title = "{Fibonacci} Collocation Method for Solving Linear
Differential--Difference Equations",
journal = j-MATH-COMPUT-APPL,
volume = "18",
number = "3",
pages = "448--458",
month = dec,
year = "2013",
CODEN = "????",
DOI = "https://doi.org/10.3390/mca18030448",
ISSN = "2297-8747",
ISSN-L = "2297-8747",
bibdate = "Sun Feb 18 06:28:27 MST 2024",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/math-comput-appl.bib",
URL = "https://www.mdpi.com/2297-8747/18/3/448",
acknowledgement = ack-nhfb,
fjournal = "Mathematical and Computational Applications",
journal-URL = "https://www.mdpi.com/journal/mca",
}
@Article{LaGrange:2013:CDF,
author = "John D. LaGrange",
title = "A combinatorial development of {Fibonacci} numbers in
graph spectra",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "438",
number = "11",
pages = "4335--4347",
day = "1",
month = jun,
year = "2013",
CODEN = "LAAPAW",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibdate = "Wed Mar 27 06:13:10 MDT 2013",
bibsource = "http://www.sciencedirect.com/science/journal/00243795;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/linala2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0024379513001109",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795",
}
@Article{Marques:2013:SFP,
author = "R. Marques and C. Bouville and M. Ribardi{\`e}re and
L. P. Santos and K. Bouatouch",
title = "Spherical {Fibonacci} Point Sets for Illumination
Integrals",
journal = j-CGF,
volume = "32",
number = "8",
pages = "134--143",
month = dec,
year = "2013",
CODEN = "CGFODY",
DOI = "https://doi.org/10.1111/cgf.12190",
ISSN = "0167-7055 (print), 1467-8659 (electronic)",
ISSN-L = "0167-7055",
bibdate = "Sat Feb 8 15:28:12 MST 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/cgf.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Computer Graphics World",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-8659/",
onlinedate = "24 Jul 2013",
}
@Article{Panda:2013:DFM,
author = "Geetanjali Panda and Suman Ghosh",
title = "A derivative free multidimensional optimal search
method using {Lucas} number",
journal = j-APPL-MATH-COMP,
volume = "219",
number = "12",
pages = "6536--6541",
day = "15",
month = feb,
year = "2013",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Wed Mar 27 06:36:50 MDT 2013",
bibsource = "http://www.sciencedirect.com/science/journal/00963003;
https://www.math.utah.edu/pub/tex/bib/applmathcomput2010.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300312010922",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@Article{Porpodas:2013:LLA,
author = "Vasileios Porpodas and Marcelo Cintra",
title = "{LUCAS}: latency-adaptive unified cluster assignment
and instruction scheduling",
journal = j-SIGPLAN,
volume = "48",
number = "5",
pages = "45--54",
month = may,
year = "2013",
CODEN = "SINODQ",
DOI = "https://doi.org/10.1145/2499369.2465565",
ISSN = "0362-1340 (print), 1523-2867 (print), 1558-1160
(electronic)",
ISSN-L = "0362-1340",
bibdate = "Mon Jul 1 17:15:32 MDT 2013",
bibsource = "http://portal.acm.org/;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/sigplan2010.bib",
abstract = "Clustered VLIW architectures are statically scheduled
wide-issue architectures that combine the advantages of
wide-issue processors along with the power and
frequency scalability of clustered designs. Being
statically scheduled, they require that the decision of
mapping instructions to clusters be done by the
compiler. State-of-the-art code generation for such
architectures combines cluster-assignment and
instruction scheduling in a single unified pass. The
performance of the generated code, however, is very
susceptible to the inter-cluster communication latency.
This is due to the nature of the two clustering
heuristics used. One is aggressive and works well for
low inter-cluster latencies, while the other is more
conservative and works well only for high latencies. In
this paper we propose LUCAS, a novel unified
cluster-assignment and instruction-scheduling algorithm
that adapts to the inter-cluster latency better than
the existing state-of-the-art schemes. LUCAS is a
hybrid scheme that performs fine-grain switching
between the two state-of-the art clustering heuristics,
leading to better scheduling than either of them. It
generates better performing code for a wide range of
inter-cluster latency values.",
acknowledgement = ack-nhfb,
fjournal = "ACM SIGPLAN Notices",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J706",
remark = "GPCE '12 conference proceedings.",
}
@Article{Roura:2013:FBN,
author = "Salvador Roura",
title = "{Fibonacci BSTs}: a new balancing method for binary
search trees",
journal = j-THEOR-COMP-SCI,
volume = "482",
number = "??",
pages = "48--59",
day = "22",
month = apr,
year = "2013",
CODEN = "TCSCDI",
ISSN = "0304-3975 (print), 1879-2294 (electronic)",
ISSN-L = "0304-3975",
bibdate = "Tue Apr 16 05:49:03 MDT 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/tcs2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0304397512010572",
acknowledgement = ack-nhfb,
fjournal = "Theoretical Computer Science",
journal-URL = "http://www.sciencedirect.com/science/journal/03043975/",
}
@Article{Sadek:2013:DPF,
author = "Jawad Sadek and Russell Euler",
title = "Divisibility properties for {Fibonacci} and related
numbers",
journal = j-MATH-GAZ,
volume = "97",
number = "540",
pages = "461--464",
month = nov,
year = "2013",
CODEN = "MAGAAS",
DOI = "https://doi.org/10.1017/S0025557200000218",
ISSN = "0025-5572 (print), 2056-6328 (electronic)",
ISSN-L = "0025-5572",
bibdate = "Tue May 5 12:04:29 MDT 2015",
bibsource = "http://journals.cambridge.org/action/displayIssue?jid=MAG&volumeId=97&issueId=540;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/mathgaz2010.bib",
acknowledgement = ack-nhfb,
ajournal = "Math. Gaz.",
fjournal = "The Mathematical Gazette",
journal-URL = "http://journals.cambridge.org/action/displayBackIssues?jid=MAG",
}
@Article{Wloch:2013:SIG,
author = "Andrzej Wloch",
title = "Some identities for the generalized {Fibonacci}
numbers and the generalized {Lucas} numbers",
journal = j-APPL-MATH-COMP,
volume = "219",
number = "10",
pages = "5564--5568",
day = "15",
month = jan,
year = "2013",
CODEN = "AMHCBQ",
DOI = "https://doi.org/10.1016/j.amc.2012.11.030",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Tue Jan 22 06:51:12 MST 2013",
bibsource = "http://www.sciencedirect.com/science/journal/00963003;
https://www.math.utah.edu/pub/tex/bib/applmathcomput2010.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300312011976",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@Article{Bilgici:2014:TGL,
author = "Goksal Bilgici",
title = "Two generalizations of {Lucas} sequence",
journal = j-APPL-MATH-COMP,
volume = "245",
number = "??",
pages = "526--538",
day = "15",
month = oct,
year = "2014",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Sat Sep 20 07:35:54 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/applmathcomput2010.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300314010807",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003/",
}
@Article{Brinda:2014:BBW,
author = "Karel B{\v{r}}inda and Edita Pelantov{\'a} and
Ond{\v{r}}ej Turek",
title = "Balances of $m$-bonacci Words",
journal = j-FUND-INFO,
volume = "132",
number = "1",
pages = "33--61",
month = jan,
year = "2014",
CODEN = "FUMAAJ",
DOI = "https://doi.org/10.3233/FI-2014-1031",
ISSN = "0169-2968 (print), 1875-8681 (electronic)",
ISSN-L = "0169-2968",
bibdate = "Sat Mar 5 17:18:52 MST 2016",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/fundinfo2010.bib",
acknowledgement = ack-nhfb,
fjournal = "Fundamenta Informaticae",
journal-URL = "http://content.iospress.com/journals/fundamenta-informaticae",
keywords = "Fibonacci generalization",
}
@Article{daFonseca:2014:USP,
author = "Carlos M. da Fonseca",
title = "Unifying some {Pell} and {Fibonacci} identities",
journal = j-APPL-MATH-COMP,
volume = "236",
number = "??",
pages = "41--42",
day = "1",
month = jun,
year = "2014",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Wed May 7 18:45:42 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/applmathcomput2010.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300314004263",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003/",
}
@Article{Dixon:2014:TTF,
author = "John Dixon and Michael Goldenberg and Ben Mathes and
Justin Sukiennik",
title = "Triangular truncation of $k$-{Fibonacci} and
$k$-{Lucas} circulant matrices",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "440",
number = "??",
pages = "177--187",
day = "1",
month = jan,
year = "2014",
CODEN = "LAAPAW",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibdate = "Tue Dec 3 17:56:20 MST 2013",
bibsource = "http://www.sciencedirect.com/science/journal/00243795;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/linala2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0024379513005818",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795",
}
@Article{Fraenkel:2014:CEN,
author = "Aviezri S. Fraenkel and Jamie Simpson",
title = "Corrigendum to {``The exact number of squares in
Fibonacci words'' [Theoret. Comput. Sci. {\bf 218} (1)
(1999) 95--106]}",
journal = j-THEOR-COMP-SCI,
volume = "547",
number = "??",
pages = "122",
day = "28",
month = aug,
year = "2014",
CODEN = "TCSCDI",
ISSN = "0304-3975 (print), 1879-2294 (electronic)",
ISSN-L = "0304-3975",
bibdate = "Sat Aug 16 09:03:23 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/tcs1995.bib;
https://www.math.utah.edu/pub/tex/bib/tcs2010.bib",
note = "See \cite{Fraenkel:1999:ENS}.",
URL = "http://www.sciencedirect.com/science/article/pii/S0304397514004356",
acknowledgement = ack-nhfb,
fjournal = "Theoretical Computer Science",
journal-URL = "http://www.sciencedirect.com/science/journal/03043975/",
}
@Article{Garcia-Caballero:2014:CVV,
author = "Esther M. Garc{\'\i}a-Caballero and Samuel G. Moreno
and Michael P. Prophet",
title = "A complete view of {Vi{\`e}te}-like infinite products
with {Fibonacci} and {Lucas} numbers",
journal = j-APPL-MATH-COMP,
volume = "247",
number = "??",
pages = "703--711",
day = "15",
month = nov,
year = "2014",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Fri Oct 24 06:06:45 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/applmathcomput2010.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300314012363",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003/",
}
@Article{Ipek:2014:HPD,
author = "Ahmet Ipek and Kamil Ari",
title = "On {Hessenberg} and pentadiagonal determinants related
with {Fibonacci} and {Fibonacci}-like numbers",
journal = j-APPL-MATH-COMP,
volume = "229",
number = "??",
pages = "433--439",
day = "25",
month = feb,
year = "2014",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Mon Feb 3 16:13:18 MST 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/applmathcomput2010.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300313013544",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003/",
}
@Article{Kanovich:2014:MRF,
author = "Max Kanovich",
title = "Multiset rewriting over {Fibonacci} and {Tribonacci}
numbers",
journal = j-J-COMP-SYS-SCI,
volume = "80",
number = "6",
pages = "1138--1151",
month = sep,
year = "2014",
CODEN = "JCSSBM",
DOI = "https://doi.org/10.1016/j.jcss.2014.04.006",
ISSN = "0022-0000 (print), 1090-2724 (electronic)",
ISSN-L = "0022-0000",
bibdate = "Tue Jan 29 15:27:26 MST 2019",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jcompsyssci.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0022000014000506",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computer and System Sciences",
journal-URL = "http://www.sciencedirect.com/science/journal/00220000",
}
@Article{Koshy:2014:GTM,
author = "Thomas Koshy",
title = "Graph-theoretic models for the {Fibonacci} family",
journal = j-MATH-GAZ,
volume = "98",
number = "542",
pages = "256--265",
month = jul,
year = "2014",
CODEN = "MAGAAS",
DOI = "https://doi.org/10.2307/3619903",
ISSN = "0025-5572 (print), 2056-6328 (electronic)",
ISSN-L = "0025-5572",
bibdate = "Tue May 5 12:04:33 MDT 2015",
bibsource = "http://journals.cambridge.org/action/displayIssue?jid=MAG&volumeId=98&issueId=542;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/mathgaz2010.bib",
acknowledgement = ack-nhfb,
ajournal = "Math. Gaz.",
fjournal = "The Mathematical Gazette",
journal-URL = "http://journals.cambridge.org/action/displayBackIssues?jid=MAG",
}
@Article{Kwong:2014:APS,
author = "Harris Kwong",
title = "An Alternate Proof of {Sury}'s {Fibonacci--Lucas}
Relation",
journal = j-AMER-MATH-MONTHLY,
volume = "121",
number = "6",
pages = "514--514",
month = jun,
year = "2014",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.4169/amer.math.monthly.121.06.514",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Wed Sep 10 09:38:03 MDT 2014",
bibsource = "http://www.jstor.org/stable/10.4169/amermathmont.121.issue-06;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly2010.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.jstor.org/stable/10.4169/amer.math.monthly.121.06.514",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Luca:2014:FDF,
author = "Florian Luca and Pantelimon St{\u{a}}nic{\u{a}}",
title = "On the first digits of the {Fibonacci} numbers and
their {Euler} function",
journal = "Uniform Distribution Theory",
volume = "9",
number = "1",
pages = "21--25",
year = "2014",
ISSN = "1336-913X (print), 2309-5377 (electronic)",
ISSN-L = "1336-913X",
MRclass = "11B39 (11K36)",
MRnumber = "3237073",
MRreviewer = "Huaning Liu",
bibdate = "Tue Jan 26 11:12:44 2016",
bibsource = "https://www.math.utah.edu/pub/tex/bib/benfords-law.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "https://math.boku.ac.at/udt/vol09/no1/03LucaStanica.pdf",
acknowledgement = ack-nhfb,
ajournal = "Unif. Distrib. Theory",
fjournal = "Uniform Distribution Theory",
journal-URL = "https://doaj.org/toc/1336-913X",
}
@Article{Luca:2014:LBO,
author = "Florian Luca and Carl Pomerance",
title = "On the local behavior of the order of appearance in
the {Fibonacci} sequence",
journal = j-INT-J-NUMBER-THEORY,
volume = "10",
number = "4",
pages = "915--933",
month = jun,
year = "2014",
DOI = "https://doi.org/10.1142/S1793042114500079",
ISSN = "1793-0421 (print), 1793-7310 (electronic)",
ISSN-L = "1793-0421",
bibdate = "Tue Jul 21 10:35:18 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/ijnt.bib",
URL = "https://www.worldscientific.com/doi/10.1142/S1793042114500079",
abstract = "Let z(N) be the order of appearance of N in the
Fibonacci sequence. This is the smallest positive
integer k such that N divides the kth Fibonacci number.
We show that each of the six total possible orderings
among z(N), z(N + 1), z(N + 2) appears infinitely
often. We also show that for each nonzero even integer
c and many odd integers c the equation z(N) = z(N + c)
has infinitely many solutions N, but the set of
solutions has asymptotic density zero. The proofs use a
result of Corvaja and Zannier on the height of a
rational function at {$ \mathcal {S} $}-unit points as
well as sieve methods.",
acknowledgement = ack-nhfb,
fjournal = "International Journal of Number Theory (IJNT)",
journal-URL = "https://www.worldscientific.com/worldscinet/ijnt",
}
@Article{Luis:2014:PIM,
author = "Rafael Lu{\'\i}s and Henrique M. Oliveira",
title = "Products of $ 2 \times 2 $ matrices related to non
autonomous {Fibonacci} difference equations",
journal = j-APPL-MATH-COMP,
volume = "226",
number = "??",
pages = "101--116",
day = "1",
month = jan,
year = "2014",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Mon Dec 23 09:52:23 MST 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/applmathcomput2010.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300313010552",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003/",
}
@Article{Rajagopal:2014:FNF,
author = "Surajit Rajagopal and Martin Griffiths",
title = "98.01 {On} {Fibonacci} numbers that are factorials",
journal = j-MATH-GAZ,
volume = "98",
number = "541",
pages = "104--107",
month = mar,
year = "2014",
CODEN = "MAGAAS",
DOI = "https://doi.org/10.2307/3621818",
ISSN = "0025-5572 (print), 2056-6328 (electronic)",
ISSN-L = "0025-5572",
bibdate = "Tue May 5 12:04:31 MDT 2015",
bibsource = "http://journals.cambridge.org/action/displayIssue?jid=MAG&volumeId=98&issueId=541;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/mathgaz2010.bib",
acknowledgement = ack-nhfb,
ajournal = "Math. Gaz.",
fjournal = "The Mathematical Gazette",
journal-URL = "http://journals.cambridge.org/action/displayBackIssues?jid=MAG",
}
@Article{Ramirez:2014:CGF,
author = "Jos{\'e} L. Ram{\'\i}rez",
title = "On convolved generalized {Fibonacci} and {Lucas}
polynomials",
journal = j-APPL-MATH-COMP,
volume = "229",
number = "??",
pages = "208--213",
day = "25",
month = feb,
year = "2014",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Mon Feb 3 16:13:18 MST 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/applmathcomput2010.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300313013325",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003/",
}
@Article{Ramirez:2014:GFW,
author = "Jos{\'e} L. Ram{\'\i}rez and Gustavo N. Rubiano and
Rodrigo {De Castro}",
title = "A generalization of the {Fibonacci} word fractal and
the {Fibonacci} snowflake",
journal = j-THEOR-COMP-SCI,
volume = "528",
number = "??",
pages = "40--56",
day = "3",
month = apr,
year = "2014",
CODEN = "TCSCDI",
ISSN = "0304-3975 (print), 1879-2294 (electronic)",
ISSN-L = "0304-3975",
bibdate = "Sat Mar 8 16:44:13 MST 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/tcs2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0304397514000851",
acknowledgement = ack-nhfb,
fjournal = "Theoretical Computer Science",
journal-URL = "http://www.sciencedirect.com/science/journal/03043975/",
}
@Article{Ramirez:2014:PGF,
author = "Jos{\'e} L. Ram{\'\i}rez and Gustavo N. Rubiano",
title = "Properties and Generalizations of the {Fibonacci} Word
Fractal: Exploring Fractal Curves",
journal = j-MATHEMATICA-J,
volume = "16",
number = "??",
pages = "??--??",
month = "????",
year = "2014",
CODEN = "????",
ISSN = "1047-5974 (print), 1097-1610 (electronic)",
ISSN-L = "1047-5974",
bibdate = "Sat Mar 15 08:18:52 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/mathematicaj.bib",
URL = "http://www.mathematica-journal.com/2014/02/properties-and-generalizations-of-the-fibonacci-word-fractal/",
abstract = "This article implements some combinatorial properties
of the Fibonacci word and generalizations that can be
generated from the iteration of a morphism between
languages. Some graphic properties of the fractal curve
are associated with these words; the curves can be
generated from drawing rules similar to those used in
L-systems. Simple changes to the programs generate
other interesting curves.",
acknowledgement = ack-nhfb,
fjournal = "Mathematica Journal",
journal-URL = "http://www.mathematica-journal.com/",
}
@Book{Sesiano:2014:LM,
author = "Jacques Sesiano",
title = "Liber Mahameleth",
publisher = "Springer International Publishing AG",
address = "Cham, Switzerland",
pages = "????",
year = "2014",
ISBN = "3-319-03939-3 (hardcover)",
ISBN-13 = "978-3-319-03939-8 (hardcover)",
LCCN = "QA32 .S47 2014",
bibdate = "Tue Aug 4 08:04:43 MDT 2015",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
z3950.loc.gov:7090/Voyager",
series = "Sources and Studies in the History of Mathematics and
Physical Sciences",
abstract = "The \booktitle{Liber mahameleth} is a work in Latin
written in the mid-12th century based (mainly) on
Arabic sources from Islamic Spain. It is now our
principal source on mathematics in Islamic Spain at
that time; There are few extant Arabic texts and no one
is as complete as the LM. It is also the second largest
mathematical work from the Latin Middle Ages (the other
is by Fibonacci, some 50 years later). Since the three
main manuscripts preserving it are incomplete and there
are many scribal errors, a reliable Latin text has been
established, which reports (in notes) the various
readings of the manuscript.",
acknowledgement = ack-nhfb,
shorttableofcontents = "Vol. 1. General introduction, Latin text \\
v. 2. Translation, glossary \\
v. 3. Mathematical commentary, bibliography, index",
subject = "Liber mahameleth; Mathematics, Medieval; Mathematics;
History; 12th century",
tableofcontents = "Preface \\
Table of contents Part One \\
General introduction \\
1. The rebirth of mathematics in mediaeval Europe \\
1.1 Early mediaeval times \\
1.2 The twelfth and thirteenth centuries \\
2. The Liber mahameleth \\
2.1 Contents \\
2.2 Origin and authorship \\
3. Manuscripts of the Liber mahameleth \\
3.1 Manuscript A \\
3.1.1 The two copyists \\
3.1.2 The two readers \\
3.2 Manuscript B \\
3.2.1 The copyist \\
3.2.2 The reader \\
3.2.3 Further reader's notes \\
3.3 Manuscript C \\
3.3.1 The copyist \\
3.3.2 The reader \\
3.4 Manuscript \\
3.5 The disordered text \\
3.6 The ordered text \\
4. Transmission of the Liber mahameleth \\
4.1 Early readers \\
4.2 Mediaeval traces \\
5. Mathematics in the Liber mahameleth \\
5.1 Particular prerequisites \\
5.1.1 Euclid's Elements \\
5.1.2 Ab{\aa} u K{\aa} amil's Algebra \\
5.1.3 Formulae of practical geometry \\
5.1.4 Other topics \\
5.2 Operations on proportions \\
5.2.1 Simple operations on one proportion \\
5.2.2 Transformation of one proportion \\
5.2.3 Relations between several proportions \\
5.3 Algebra \\
5.3.1 Algebraic language \\
5.3.2 Linear equations \\
5.3.3 Determinate systems of two linear equations \\
5.3.4 Indeterminate system of two linear equations \\
5.3.5 Quadratic equations \\
5.3.6 Quadratic systems \\
5.4 Summation of series \\
5.4.1 Arithmetic series \\
5.4.2 Infinite geometric series \\
5.4.3 Other summations \\
5.5 Practical geometry \\
5.5.1 Plane figures \\
5.5.2 Solid figures \\
5.6 Metrology \\
5.6.1 Volumes (dry measures) \\
5.6.2 Volumes (liquid measures) \\
5.6.3 Lengths \\
5.6.4 Weights \\
5.6.5 Coins \\
6. The edited Latin text \\
Table of contents Part Two \\
Table of contents Part Three \\
Incipit liber mahameleth \\
De numeris \\
Capitulum de hiis que debent preponi practice
arimethice \\
Capitulum de multiplicatione \\
Capitulum de divisione \\
De capitulo multiplicandi in fractionibus \\
Capitulum de agregatione fractionum cum fractionibus
\\
Capitulum de minuendo \\
Capitulum de divisione fractionum inter se, sive cum
integris sive non \\
Capitulum de inventione radicum, et de multiplicatione
et divisione et diminutione et agregatione inter se, et
de aliis huiusmodi \\
Capitulum de emendo et vendendo \\
Capitulum de lucris \\
Capitulum de lucro participum \\
Capitulum de divisione secundum portiones \\
Capitulum de massis \\
Capitulum de cortinis \\
Capitulum de linteis \\
Capitulum de molare \\
Capitulum de coquendo musto \\
Capitulum de mutuando \\
Capitulum de conductis \\
Capitulum de varietate mercedis operariorum \\
Capitulum de conducendis vectoribus \\
Capitulum de conducendis incisoribus lapidum \\
Capitulum de impensa olei lampadarum \\
Capitulum de impensa animalium \\
Capitulum de expensa hominum in pane \\
Capitulum de cambio morabitinorum \\
Capitulum de cisternis \\
Capitulum de scalis \\
Item de alio \\
Capitulum de nuntiis \\
Capitulum de alio \\
Translation \\
Beginning of the Book (on) mahameleth \\
Chapter (A-I) on Numbers \\
Chapter (A-II) on the Premisses necessary for practical
arithmetic",
}
@Article{Sury:2014:PPF,
author = "B. Sury",
title = "A Polynomial Parent to a {Fibonacci--Lucas} Relation",
journal = j-AMER-MATH-MONTHLY,
volume = "121",
number = "3",
pages = "236--236",
month = mar,
year = "2014",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.4169/amer.math.monthly.121.03.236",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Tue Mar 4 06:16:50 MST 2014",
bibsource = "http://www.jstor.org/journals/00029890.html;
http://www.jstor.org/stable/10.4169/amermathmont.121.issue-03;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly2010.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.jstor.org/stable/pdfplus/10.4169/amer.math.monthly.121.03.236.pdf",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Yordzhev:2014:FSB,
author = "Krasimir Yordzhev",
title = "Factor-set of binary matrices and {Fibonacci}
numbers",
journal = j-APPL-MATH-COMP,
volume = "236",
number = "??",
pages = "235--238",
day = "1",
month = jun,
year = "2014",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Wed May 7 18:45:42 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/applmathcomput2010.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300314004354",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003/",
}
@Article{Zhou:2014:SNG,
author = "Jianwei Zhou and Zhaolin Jiang",
title = "The spectral norms of $g$-circulant matrices with
classical {Fibonacci} and {Lucas} numbers entries",
journal = j-APPL-MATH-COMP,
volume = "233",
number = "??",
pages = "582--587",
day = "1",
month = may,
year = "2014",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Sat Jun 28 09:20:22 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/applmathcomput2010.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300314002598",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003/",
}
@Article{Adam:2015:GSF,
author = "Maria Adam and Nicholas Assimakis and Alfonso Farina",
title = "Golden section, {Fibonacci} sequence and the time
invariant {Kalman} and {Lainiotis} filters",
journal = j-APPL-MATH-COMP,
volume = "250",
number = "??",
pages = "817--831",
day = "1",
month = jan,
year = "2015",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Wed Jan 7 16:27:08 MST 2015",
bibsource = "https://www.math.utah.edu/pub/tex/bib/applmathcomput2015.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300314015446",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003/",
}
@Article{Andersen:2015:MEL,
author = "Timothy D. Andersen and Michael Mascagni",
title = "Memory efficient lagged-{Fibonacci} random number
generators for {GPU} supercomputing",
journal = j-MONTE-CARLO-METHODS-APPL,
volume = "21",
number = "2",
pages = "163--174",
month = jun,
year = "2015",
CODEN = "MCMAC6",
DOI = "https://doi.org/10.1515/mcma-2014-0017",
ISSN = "0929-9629 (print), 1569-3961 (electronic)",
ISSN-L = "0929-9629",
bibdate = "Thu Sep 24 13:38:13 MDT 2015",
bibsource = "http://www.degruyter.com/view/j/mcma.2015.21.issue-2/issue-files/mcma.2015.21.issue-2.xml;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/mcma.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
https://www.math.utah.edu/pub/tex/bib/super.bib",
URL = "http://www.degruyter.com/view/j/mcma.2015.21.issue-2/mcma-2014-0017/mcma-2014-0017.xml",
acknowledgement = ack-nhfb,
fjournal = "Monte Carlo Methods and Applications",
journal-URL = "http://www.degruyter.com/view/j/mcma",
}
@Article{Cai:2015:PNF,
author = "Tianxin Cai and Deyi Chen and Yong Zhang",
title = "Perfect numbers and {Fibonacci} primes ({I})",
journal = j-INT-J-NUMBER-THEORY,
volume = "11",
number = "1",
pages = "159--169",
month = feb,
year = "2015",
DOI = "https://doi.org/10.1142/S1793042115500098",
ISSN = "1793-0421 (print), 1793-7310 (electronic)",
ISSN-L = "1793-0421",
bibdate = "Tue Jul 21 10:35:20 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/ijnt.bib",
URL = "https://www.worldscientific.com/doi/10.1142/S1793042115500098",
abstract = "In this paper, we introduce the concept of F-perfect
number, which is a positive integer n such that $
\sum_{d|n, d < n} $ d$^2$ = 3n. We prove that all the
F-perfect numbers are of the form n = F$_{2k - 1}$
F$_{2k + 1}$, where both F$_{2k - 1}$ and F$_{2k + 1}$
are Fibonacci primes. Moreover, we obtain other
interesting results and raise a new conjecture on
perfect numbers.",
acknowledgement = ack-nhfb,
fjournal = "International Journal of Number Theory (IJNT)",
journal-URL = "https://www.worldscientific.com/worldscinet/ijnt",
}
@Article{Chaves:2015:DER,
author = "Ana Paula Chaves and Diego Marques",
title = "A {Diophantine} equation related to the sum of powers
of two consecutive generalized {Fibonacci} numbers",
journal = j-J-NUMBER-THEORY,
volume = "156",
number = "??",
pages = "1--14",
month = nov,
year = "2015",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/j.jnt.2015.03.009",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Wed Jul 15 08:49:16 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jnumbertheory2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0022314X15001298",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
}
@Article{Epple:2015:CFS,
author = "Dennis D. A. Epple and Jason Siefken",
title = "{Collapse}: A {Fibonacci} and {Sturmian} Game",
journal = j-AMER-MATH-MONTHLY,
volume = "122",
number = "6",
pages = "515--527",
month = jun,
year = "2015",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.4169/amer.math.monthly.122.6.515",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Tue Aug 4 15:54:08 MDT 2015",
bibsource = "http://www.jstor.org/stable/10.4169/amermathmont.122.issue-6;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly2010.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.jstor.org/stable/10.4169/amer.math.monthly.122.6.515",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Fallahpour:2015:AWB,
author = "M. Fallahpour and D. Megias",
title = "Audio Watermarking Based on {Fibonacci} Numbers",
journal = j-IEEE-ACM-TASLP,
volume = "23",
number = "8",
pages = "1273--1282",
month = aug,
year = "2015",
CODEN = "????",
DOI = "https://doi.org/10.1109/TASLP.2015.2430818",
ISSN = "2329-9290",
ISSN-L = "2329-9290",
bibdate = "Mon Oct 5 06:29:45 MDT 2015",
bibsource = "https://www.math.utah.edu/pub/tex/bib/cryptography2010.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/ieeeacmtaslp.bib",
acknowledgement = ack-nhfb,
fjournal = "IEEE\slash ACM Transactions on Audio, Speech, and
Language Processing",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=6570655",
}
@Article{Griffiths:2015:RWA,
author = "Martin Griffiths",
title = "Random walks arising from a {Fibonacci}'s-rabbits
scenario",
journal = j-MATH-GAZ,
volume = "99",
number = "544",
pages = "60--67",
month = mar,
year = "2015",
CODEN = "MAGAAS",
DOI = "https://doi.org/10.1017/mag.2014.8",
ISSN = "0025-5572 (print), 2056-6328 (electronic)",
ISSN-L = "0025-5572",
bibdate = "Tue May 5 12:04:35 MDT 2015",
bibsource = "http://journals.cambridge.org/action/displayIssue?jid=MAG&volumeId=99&issueId=544;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/mathgaz2010.bib",
acknowledgement = ack-nhfb,
ajournal = "Math. Gaz.",
fjournal = "The Mathematical Gazette",
journal-URL = "http://journals.cambridge.org/action/displayBackIssues?jid=MAG",
}
@Article{Hawkins:2015:FIO,
author = "Kyle Hawkins and Ursula Hebert-Johnson and Ben
Mathes",
title = "The {Fibonacci} identities of orthogonality",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "475",
number = "??",
pages = "80--89",
day = "15",
month = jun,
year = "2015",
CODEN = "LAAPAW",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibdate = "Thu Apr 2 06:49:42 MDT 2015",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/linala2015.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0024379515000531",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795/",
}
@Article{Hong:2015:WGF,
author = "Dae S. Hong",
title = "When Is the Generating Function of the {Fibonacci}
Numbers an Integer?",
journal = j-COLLEGE-MATH-J,
volume = "46",
number = "2",
pages = "110--112",
month = mar,
year = "2015",
CODEN = "????",
DOI = "https://doi.org/10.4169/college.math.j.46.2.110",
ISSN = "0746-8342 (print), 1931-1346 (electronic)",
ISSN-L = "0746-8342",
bibdate = "Thu Feb 14 10:09:35 MST 2019",
bibsource = "https://www.math.utah.edu/pub/tex/bib/collegemathj.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.tandfonline.com/doi/abs/10.4169/college.math.j.46.2.110",
acknowledgement = ack-nhfb,
fjournal = "College Mathematics Journal",
journal-URL = "https://maa.tandfonline.com/loi/ucmj20;
https://www.jstor.org/journal/collmathj",
onlinedate = "27 Nov 2017",
}
@Article{Huang:2015:SRW,
author = "Yuke Huang and Zhiying Wen",
title = "The sequence of return words of the {Fibonacci}
sequence",
journal = j-THEOR-COMP-SCI,
volume = "593",
number = "??",
pages = "106--116",
day = "16",
month = aug,
year = "2015",
CODEN = "TCSCDI",
ISSN = "0304-3975 (print), 1879-2294 (electronic)",
ISSN-L = "0304-3975",
bibdate = "Sat Jul 25 14:06:20 MDT 2015",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/tcs2015.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0304397515005022",
acknowledgement = ack-nhfb,
fjournal = "Theoretical Computer Science",
journal-URL = "http://www.sciencedirect.com/science/journal/03043975/",
}
@Article{Jiang:2015:EIM,
author = "Xiaoyu Jiang and Kicheon Hong",
title = "Explicit inverse matrices of {Tribonacci} skew
circulant type matrices",
journal = j-APPL-MATH-COMP,
volume = "268",
number = "??",
pages = "93--102",
day = "1",
month = oct,
year = "2015",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Wed Sep 16 06:56:32 MDT 2015",
bibsource = "https://www.math.utah.edu/pub/tex/bib/applmathcomput2015.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300315007341",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003/",
}
@Article{Keinert:2015:SFM,
author = "Benjamin Keinert and Matthias Innmann and Michael
S{\"a}nger and Marc Stamminger",
title = "Spherical {Fibonacci} mapping",
journal = j-TOG,
volume = "34",
number = "6",
pages = "193:1--193:??",
month = nov,
year = "2015",
CODEN = "ATGRDF",
DOI = "https://doi.org/10.1145/2816795.2818131",
ISSN = "0730-0301 (print), 1557-7368 (electronic)",
ISSN-L = "0730-0301",
bibdate = "Mon Oct 26 17:24:10 MDT 2015",
bibsource = "http://www.acm.org/pubs/contents/journals/tog/;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/tog.bib",
abstract = "Spherical Fibonacci point sets yield nearly uniform
point distributions on the unit sphere $ S^2 \subset
R^3 $. The forward generation of these point sets has
been widely researched and is easy to implement, such
that they have been used in various applications.
Unfortunately, the lack of an efficient mapping from
points on the unit sphere to their closest spherical
Fibonacci point set neighbors rendered them impractical
for a wide range of applications, especially in
computer graphics. Therefore, we introduce an inverse
mapping from points on the unit sphere which yields the
nearest neighbor in an arbitrarily sized spherical
Fibonacci point set in constant time, without requiring
any precomputations or table lookups. We show how to
implement this inverse mapping on GPUs while addressing
arising floating point precision problems. Further, we
demonstrate the use of this mapping and its variants,
and show how to apply it to fast unit vector
quantization. Finally, we illustrate the means by which
to modify this inverse mapping for texture mapping with
smooth filter kernels and showcase its use in the field
of procedural modeling.",
acknowledgement = ack-nhfb,
articleno = "193",
fjournal = "ACM Transactions on Graphics",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J778",
}
@Article{Keskin:2015:GFL,
author = "Ref{\i}k Keskin and Olcay Karaatli",
title = "Generalized {Fibonacci} and {Lucas} numbers of the
form $ 5 x^2 $",
journal = j-INT-J-NUMBER-THEORY,
volume = "11",
number = "3",
pages = "931--944",
month = may,
year = "2015",
DOI = "https://doi.org/10.1142/S1793042115500517",
ISSN = "1793-0421 (print), 1793-7310 (electronic)",
ISSN-L = "1793-0421",
bibdate = "Tue Jul 21 10:35:21 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/ijnt.bib",
URL = "https://www.worldscientific.com/doi/10.1142/S1793042115500517",
abstract = "Let (U$_n$ (P, Q) and (V$_n$ (P, Q) denote the
generalized Fibonacci and Lucas sequences,
respectively. In this study, we assume that Q = 1. We
determine all indices n such that U$_n$ = 5{\u{2}5fb}
and U$_n$ = 5U$_m$ {\u{2}5fb} under some assumptions on
P. We show that the equation V$_n$ = 5{\u{2}5fb} has a
solution only if n = 1 for the case when P is odd.
Moreover, we show that the equation V$_n$ = 5V$_m$
{\u{2}5fb} has no solutions.",
acknowledgement = ack-nhfb,
fjournal = "International Journal of Number Theory (IJNT)",
journal-URL = "https://www.worldscientific.com/worldscinet/ijnt",
}
@Article{Marques:2015:NFL,
author = "Diego Marques",
title = "A New {Fibonacci--Lucas} Relation",
journal = j-AMER-MATH-MONTHLY,
volume = "122",
number = "7",
pages = "683--683",
month = aug,
year = "2015",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.4169/amer.math.monthly.122.7.683",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Tue Aug 4 15:54:09 MDT 2015",
bibsource = "http://www.jstor.org/stable/10.4169/amermathmont.122.issue-7;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly2010.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.jstor.org/stable/10.4169/amer.math.monthly.122.7.683",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Moyon:2015:LFO,
author = "Marc Moyon and Maryvonne Spiesser",
title = "L'arithm{\'e}tique des fractions dans l'oeuvre de
{Fibonacci}: fondements \& usages",
journal = j-ARCH-HIST-EXACT-SCI,
volume = "69",
number = "4",
pages = "391--427",
month = jul,
year = "2015",
CODEN = "AHESAN",
DOI = "https://doi.org/10.1007/s00407-015-0155-y",
ISSN = "0003-9519 (print), 1432-0657 (electronic)",
ISSN-L = "0003-9519",
bibdate = "Wed Aug 5 10:22:45 MDT 2015",
bibsource = "http://link.springer.com/journal/407/69/4;
https://www.math.utah.edu/pub/tex/bib/archhistexactsci.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://link.springer.com/article/10.1007/s00407-015-0155-y",
acknowledgement = ack-nhfb,
fjournal = "Archive for History of Exact Sciences",
journal-URL = "http://link.springer.com/journal/407",
}
@Article{Nalli:2015:TOV,
author = "Ayse Nalli and Cagla Ozyilmaz",
title = "The third order variations on the {Fibonacci}
universal code",
journal = j-J-NUMBER-THEORY,
volume = "149",
number = "??",
pages = "15--32",
month = apr,
year = "2015",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/j.jnt.2014.07.010",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Wed Jul 15 08:49:12 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jnumbertheory2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0022314X14002492",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
}
@Article{Pisano:2015:FAS,
author = "Raffaele Pisano and Paolo Bussotti",
title = "{Fibonacci} and the {Abacus Schools} in {Italy}.
{Mathematical} Conceptual Streams --- Education and its
Changing Relationship with Society",
journal = j-ALMAGEST,
volume = "6",
number = "2",
pages = "126--164",
year = "2015",
CODEN = "????",
DOI = "https://doi.org/10.1484/J.ALMAGEST.5.109664",
ISSN = "1792-2593",
ISSN-L = "1792-2593",
bibdate = "Thu Sep 7 18:15:00 MDT 2023",
bibsource = "https://www.math.utah.edu/pub/tex/bib/almagest.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "https://www.brepolsonline.net/doi/epdf/10.1484/J.ALMAGEST.5.109664",
acknowledgement = ack-nhfb,
ajournal = "Almagest",
fjournal = "Almagest: International Journal for the History of
Scientific Ideas",
journal-URL = "https://www.brepolsonline.net/loi/almagest",
}
@Article{Ruiz:2015:LPF,
author = "Carlos Alexis G{\'o}mez Ruiz and Florian Luca",
title = "On the largest prime factor of the ratio of two
generalized {Fibonacci} numbers",
journal = j-J-NUMBER-THEORY,
volume = "152",
number = "??",
pages = "182--203",
month = jul,
year = "2015",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/j.jnt.2014.11.017",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Wed Jul 15 08:49:14 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jnumbertheory2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0022314X15000426",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
}
@Article{Vesel:2015:LRE,
author = "Aleksander Vesel",
title = "Linear Recognition and Embedding of {Fibonacci}
Cubes",
journal = j-ALGORITHMICA,
volume = "71",
number = "4",
pages = "1021--1034",
month = apr,
year = "2015",
CODEN = "ALGOEJ",
DOI = "https://doi.org/10.1007/s00453-013-9839-3",
ISSN = "0178-4617 (print), 1432-0541 (electronic)",
ISSN-L = "0178-4617",
bibdate = "Sat Aug 8 11:47:15 MDT 2015",
bibsource = "http://link.springer.com/journal/453/71/4;
https://www.math.utah.edu/pub/tex/bib/algorithmica.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://link.springer.com/article/10.1007/s00453-013-9839-3",
acknowledgement = ack-nhfb,
fjournal = "Algorithmica",
journal-URL = "http://link.springer.com/journal/453",
}
@Article{Ashrafi:2016:NEP,
author = "Ali Reza Ashrafi and Jernej Azarija and Azam Babai and
Khadijeh Fathalikhani and Sandi Klavzar",
title = "The (non-)existence of perfect codes in {Fibonacci}
cubes",
journal = j-INFO-PROC-LETT,
volume = "116",
number = "5",
pages = "387--390",
month = may,
year = "2016",
CODEN = "IFPLAT",
ISSN = "0020-0190 (print), 1872-6119 (electronic)",
ISSN-L = "0020-0190",
bibdate = "Fri Feb 12 06:40:48 MST 2016",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/infoproc2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0020019016000120",
acknowledgement = ack-nhfb,
fjournal = "Information Processing Letters",
journal-URL = "http://www.sciencedirect.com/science/journal/00200190/",
}
@Article{Bahsi:2016:NAN,
author = "Ay{\c{s}}e Kurt Bah{\c{s}}{\i} and Salih
Yal{\c{c}}{\i}nba{\c{s}}",
title = "A New Algorithm for the Numerical Solution of
Telegraph Equations by Using {Fibonacci} Polynomials",
journal = j-MATH-COMPUT-APPL,
volume = "21",
number = "2",
pages = "??--??",
month = jun,
year = "2016",
CODEN = "????",
DOI = "https://doi.org/10.3390/mca21020015",
ISSN = "2297-8747",
ISSN-L = "2297-8747",
bibdate = "Sun Feb 18 06:28:30 MST 2024",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/math-comput-appl.bib",
URL = "https://www.mdpi.com/2297-8747/21/2/15",
acknowledgement = ack-nhfb,
ajournal = "Math. Comput. Appl.",
articleno = "15",
fjournal = "Mathematical and Computational Applications",
journal-URL = "https://www.mdpi.com/journal/mca",
}
@Article{Bottcher:2016:LZS,
author = "Albrecht B{\"o}ttcher and Fuad Kittaneh",
title = "The limit of the zero set of polynomials of the
{Fibonacci} type",
journal = j-J-NUMBER-THEORY,
volume = "163",
number = "??",
pages = "89--100",
month = jun,
year = "2016",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/j.jnt.2015.11.013",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Wed Jul 15 08:49:20 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jnumbertheory2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0022314X16000184",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
}
@Article{Brodal:2016:TDR,
author = "Gerth St{\o}lting Brodal and Pooya Davoodi and Moshe
Lewenstein and Rajeev Raman and Srinivasa Rao Satti",
title = "Two dimensional range minimum queries and {Fibonacci}
lattices",
journal = j-THEOR-COMP-SCI,
volume = "638",
number = "??",
pages = "33--43",
day = "25",
month = jul,
year = "2016",
CODEN = "TCSCDI",
ISSN = "0304-3975 (print), 1879-2294 (electronic)",
ISSN-L = "0304-3975",
bibdate = "Wed Jun 8 10:05:42 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/tcs2015.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0304397516001389",
acknowledgement = ack-nhfb,
fjournal = "Theoretical Computer Science",
journal-URL = "http://www.sciencedirect.com/science/journal/03043975/",
}
@Article{Cadilhac:2016:RGR,
author = "Micha{\"e}l Cadilhac",
title = "Review of: {{\booktitle{The Golden Ratio and Fibonacci
Numbers}} by Richard A. Dunlap}",
journal = j-SIGACT,
volume = "47",
number = "4",
pages = "15--17",
month = dec,
year = "2016",
CODEN = "SIGNDM",
DOI = "https://doi.org/10.1145/3023855.3023861",
ISSN = "0163-5700 (print), 1943-5827 (electronic)",
ISSN-L = "0163-5700",
bibdate = "Sat Mar 11 17:49:13 MST 2017",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/sigact.bib",
acknowledgement = ack-nhfb,
fjournal = "ACM SIGACT News",
journal-URL = "http://dl.acm.org/citation.cfm?id=J697",
}
@Article{Chan:2016:FMP,
author = "Eunice Y. S. Chan and Robert M. Corless",
title = "{Fibonacci--Mandelbrot} polynomials and matrices",
journal = j-ACM-COMM-COMP-ALGEBRA,
volume = "50",
number = "4",
pages = "155--157",
month = dec,
year = "2016",
CODEN = "????",
DOI = "https://doi.org/10.1145/3055282.3055288",
ISSN = "1932-2232 (print), 1932-2240 (electronic)",
ISSN-L = "1932-2232",
bibdate = "Thu Feb 23 07:24:42 MST 2017",
bibsource = "http://portal.acm.org/;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/sigsam.bib",
abstract = "We explore a family of polynomials similar to the
Mandelbrot polynomials called the Fibonacci--Mandelbrot
polynomials defined by $ q_0 (z) = 0 $, $ q_1 (z) = 1
$, and $ q_n(z) = z q_{n - 1} q_{n - 2} + 1 $. We
compute the roots of the Fibonacci-Mandelbrot
polynomials using two methods. One method uses a
recursively constructed matrix, where elements are $0$,
$1$, or $ - 1$, whose eigenvalues are the roots of $
q_n(z)$. The other method uses a special-purpose
homotopy continuation method, where the solution of the
differential equation, [EQUATION], in which the initial
condition are $0$, and the roots of $ q_{n - 1}$ and $
q_{n - 2}$, are also the roots of the
Fibonacci-Mandelbrot polynomials.",
acknowledgement = ack-nhfb,
fjournal = "ACM Communications in Computer Algebra",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J1000",
}
@Article{Du:2016:DAFa,
author = "Chen Fei Du and Hamoon Mousavi and Eric Rowland and
Luke Schaeffer and Jeffrey Shallit",
title = "Decision algorithms for {Fibonacci}-automatic words,
{II}: Related sequences and avoidability",
journal = j-THEOR-COMP-SCI,
volume = "657 (part B)",
number = "??",
pages = "146--162",
month = "????",
year = "2016",
CODEN = "TCSCDI",
ISSN = "0304-3975 (print), 1879-2294 (electronic)",
ISSN-L = "0304-3975",
bibdate = "Thu Dec 1 16:58:01 MST 2016",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/tcs2015.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0304397516305199",
acknowledgement = ack-nhfb,
fjournal = "Theoretical Computer Science",
journal-URL = "http://www.sciencedirect.com/science/journal/03043975/",
}
@Article{Du:2016:DAFb,
author = "Chen Fei Du and Hamoon Mousavi and Luke Schaeffer and
Jeffrey Shallit",
title = "Decision Algorithms for {Fibonacci}-Automatic Words,
{III}: Enumeration and {Abelian} Properties",
journal = j-INT-J-FOUND-COMP-SCI,
volume = "27",
number = "8",
pages = "943--964",
month = dec,
year = "2016",
CODEN = "IFCSEN",
DOI = "https://doi.org/10.1142/S0129054116500386",
ISSN = "0129-0541 (print), 1793-6373 (electronic)",
ISSN-L = "0129-0541",
bibdate = "Tue Feb 21 06:43:47 MST 2017",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/ijfcs.bib",
acknowledgement = ack-nhfb,
fjournal = "International Journal of Foundations of Computer
Science (IJFCS)",
journal-URL = "http://www.worldscientific.com/loi/ijfcs",
}
@Article{Garcia:2016:QFN,
author = "Stephan Ramon Garcia and Florian Luca",
title = "Quotients of {Fibonacci} Numbers",
journal = j-AMER-MATH-MONTHLY,
volume = "123",
number = "10",
pages = "1039--1044",
month = dec,
year = "2016",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.4169/amer.math.monthly.123.10.1039",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Sat Mar 11 10:15:23 MST 2017",
bibsource = "https://www.math.utah.edu/pub/tex/bib/amermathmonthly2010.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.jstor.org/stable/10.4169/amer.math.monthly.123.10.1039",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Johnson:2016:RPT,
author = "Keith Johnson and Kira Scheibelhut",
title = "Rational Polynomials That Take Integer Values at the
{Fibonacci} Numbers",
journal = j-AMER-MATH-MONTHLY,
volume = "123",
number = "4",
pages = "338--346",
month = apr,
year = "2016",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.4169/amer.math.monthly.123.4.338",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 20 14:16:04 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/tex/bib/amermathmonthly2010.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.jstor.org/stable/10.4169/amer.math.monthly.123.4.338",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Kara:2016:SPG,
author = "Emrah Evren Kara and Merve Ilkhan",
title = "Some properties of generalized {Fibonacci} sequence
spaces",
journal = j-LIN-MULT-ALGEBRA,
volume = "64",
number = "11",
pages = "2208--??",
year = "2016",
CODEN = "LNMLAZ",
DOI = "https://doi.org/10.1080/03081087.2016.1145626",
ISSN = "0308-1087 (print), 1563-5139 (electronic)",
ISSN-L = "0308-1087",
bibdate = "Tue Sep 20 15:14:50 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/linmultalgebra.bib",
acknowledgement = ack-nhfb,
fjournal = "Linear Multilinear Algebra",
journal-URL = "http://www.tandfonline.com/loi/glma20",
onlinedate = "17 Feb 2016",
}
@Article{Kogan:2016:FFI,
author = "Tamara Kogan and Luba Sapir and Amir Sapir and Ariel
Sapir",
title = "The {Fibonacci} family of iterative processes for
solving nonlinear equations",
journal = j-APPL-NUM-MATH,
volume = "110",
number = "??",
pages = "148--158",
month = dec,
year = "2016",
CODEN = "ANMAEL",
ISSN = "0168-9274 (print), 1873-5460 (electronic)",
ISSN-L = "0168-9274",
bibdate = "Tue Sep 27 08:21:19 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/tex/bib/applnummath.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0168927416301623",
acknowledgement = ack-nhfb,
fjournal = "Applied Numerical Mathematics: Transactions of IMACS",
journal-URL = "http://www.sciencedirect.com/science/journal/01689274/",
}
@Article{Mirzaee:2016:AFC,
author = "Farshid Mirzaee and Seyede Fatemeh Hoseini",
title = "Application of {Fibonacci} collocation method for
solving {Volterra--Fredholm} integral equations",
journal = j-APPL-MATH-COMP,
volume = "273",
number = "??",
pages = "637--644",
day = "15",
month = jan,
year = "2016",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Sun Dec 13 09:28:56 MST 2015",
bibsource = "https://www.math.utah.edu/pub/tex/bib/applmathcomput2015.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300315013776",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003/",
}
@Article{Rathore:2016:GFP,
author = "G. P. S. Rathore and Omprakash Sikhwal and Ritu
Choudhary",
title = "Generalized {Fibonacci} Polynomials and some
Identities",
journal = j-INT-J-COMP-APPL,
volume = "153",
number = "??",
pages = "4--8",
month = nov,
year = "2016",
CODEN = "????",
DOI = "https://doi.org/10.5120/ijca2016911990",
ISSN = "0975-8887",
ISSN-L = "0975-8887",
bibdate = "Fri Jan 24 09:31:26 MST 2025",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/intjcompappl.bib",
URL = "https://www.ijcaonline.org/archives/volume153/number12/26539-2016911990/",
acknowledgement = ack-nhfb,
ajournal = "Intern. J. of Computer Applications",
articleno = "12",
fjournal = "International Journal of Computer Applications",
journal-URL = "https://www.ijcaonline.org/",
}
@Article{Slanina:2016:GFP,
author = "Piotr Slanina",
title = "Generalizations of {Fibonacci} polynomials and free
linear groups",
journal = j-LIN-MULT-ALGEBRA,
volume = "64",
number = "2",
pages = "187--??",
year = "2016",
CODEN = "LNMLAZ",
DOI = "https://doi.org/10.1080/03081087.2015.1031073",
ISSN = "0308-1087 (print), 1563-5139 (electronic)",
ISSN-L = "0308-1087",
bibdate = "Tue Sep 20 15:14:51 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/linmultalgebra.bib",
acknowledgement = ack-nhfb,
fjournal = "Linear Multilinear Algebra",
journal-URL = "http://www.tandfonline.com/loi/glma20",
onlinedate = "07 Apr 2015",
}
@Article{Talebi:2016:AUB,
author = "Gholamreza Talebi and Mohammad Ali Dehghan",
title = "Approximation of upper bound for matrix operators on
the {Fibonacci} weighted sequence spaces",
journal = j-LIN-MULT-ALGEBRA,
volume = "64",
number = "2",
pages = "196--??",
year = "2016",
CODEN = "LNMLAZ",
DOI = "https://doi.org/10.1080/03081087.2015.1031074",
ISSN = "0308-1087 (print), 1563-5139 (electronic)",
ISSN-L = "0308-1087",
bibdate = "Tue Sep 20 15:14:51 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/linmultalgebra.bib",
acknowledgement = ack-nhfb,
fjournal = "Linear Multilinear Algebra",
journal-URL = "http://www.tandfonline.com/loi/glma20",
onlinedate = "11 Apr 2015",
}
@Article{Weinstein:2016:NFP,
author = "F. V. Weinstein",
title = "Notes on {Fibonacci} Partitions",
journal = j-EXP-MATH,
volume = "25",
number = "4",
pages = "482--499",
year = "2016",
CODEN = "????",
DOI = "https://doi.org/10.1080/10586458.2015.1118416",
ISSN = "1058-6458 (print), 1944-950X (electronic)",
ISSN-L = "1058-6458",
bibdate = "Wed Jun 8 07:58:03 MDT 2016",
bibsource = "http://www.tandfonline.com/toc/uexm20/25/4;
https://www.math.utah.edu/pub/tex/bib/expmath.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Experimental Mathematics",
journal-URL = "http://www.tandfonline.com/loi/uexm20",
}
@Article{Das:2017:SNF,
author = "Anupam Das and Bipan Hazarika",
title = "Some new {Fibonacci} difference spaces of non-absolute
type and compact operators",
journal = j-LIN-MULT-ALGEBRA,
volume = "65",
number = "12",
pages = "2551--2573",
year = "2017",
CODEN = "LNMLAZ",
DOI = "https://doi.org/10.1080/03081087.2017.1278738",
ISSN = "0308-1087 (print), 1563-5139 (electronic)",
ISSN-L = "0308-1087",
bibdate = "Thu Nov 30 08:05:11 MST 2017",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/linmultalgebra.bib",
acknowledgement = ack-nhfb,
fjournal = "Linear and Multilinear Algebra",
journal-URL = "http://www.tandfonline.com/loi/glma20",
onlinedate = "16 Jan 2017",
}
@Article{Dekking:2017:CCF,
author = "F. Michel Dekking and Michael S. Keane",
title = "On the conjugacy class of the {Fibonacci} dynamical
system",
journal = j-THEOR-COMP-SCI,
volume = "668",
number = "??",
pages = "59--69",
day = "15",
month = mar,
year = "2017",
CODEN = "TCSCDI",
ISSN = "0304-3975 (print), 1879-2294 (electronic)",
ISSN-L = "0304-3975",
bibdate = "Wed Mar 8 12:16:00 MST 2017",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/tcs2015.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0304397517300506",
acknowledgement = ack-nhfb,
fjournal = "Theoretical Computer Science",
journal-URL = "http://www.sciencedirect.com/science/journal/03043975",
}
@Book{Devlin:2017:FFQ,
author = "Keith Devlin",
title = "Finding {Fibonacci}: the quest to rediscover the
forgotten mathematical genius who changed the world",
publisher = pub-PRINCETON,
address = pub-PRINCETON:adr,
pages = "vi + 241",
year = "2017",
ISBN = "0-691-17486-5",
ISBN-13 = "978-0-691-17486-0",
LCCN = "QA29.F5 D48 2017; QA29.F5 F56 2017",
bibdate = "Sat Oct 14 16:16:53 MDT 2017",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
z3950.loc.gov:7090/Voyager",
abstract = "In 2000, Keith Devlin set out to research the life and
legacy of the medieval mathematician Leonardo of Pisa,
popularly known as Fibonacci, whose book
\booktitle{Liber abbaci} has quite literally affected
the lives of everyone alive today. Although he is most
famous for the Fibonacci numbers --- which, it so
happens, he didn't invent --- Fibonacci's greatest
contribution was as an expositor of mathematical ideas
at a level ordinary people could understand. In 1202,
\booktitle{Liber abbaci} --- the ``\booktitle{Book of
Calculation}'' --- introduced modern arithmetic to the
Western world. Yet Fibonacci was long forgotten after
his death, and it was not until the 1960s that his true
achievements were finally recognized. Finding Fibonacci
is Devlin's compelling firsthand account of his
ten-year quest to tell Fibonacci's story. Devlin, a
math expositor himself, kept a diary of the
undertaking, which he draws on here to describe the
project's highs and lows, its false starts and
disappointments, the tragedies and unexpected turns,
some hilarious episodes, and the occasional lucky
breaks. You will also meet the unique individuals
Devlin encountered along the way, people who, each for
their own reasons, became fascinated by Fibonacci, from
the Yale professor who traced modern finance back to
Fibonacci to the Italian historian who made the crucial
archival discovery that brought together all the
threads of Fibonacci's astonishing story. Fibonacci
helped to revive the West as the cradle of science,
technology, and commerce, yet he vanished from the
pages of history. This is Devlin's search to find
him.",
acknowledgement = ack-nhfb,
tableofcontents = "Sputnik and calculus \\
The flood plain \\
The manuscript \\
First steps \\
The statue \\
A walk along the Pisan riverbank \\
A very boring book? \\
Franci \\
Publishing Fibonacci: from the cloister to Amazon.com
\\
Translation \\
Reading Fibonacci \\
Manuscript hunting, part I (failures) \\
Manuscript hunting, part II (success at last) \\
The missing link \\
This will change the world \\
Leonardo and the birth of modern finance \\
Reflections in a medieval mirror \\
Guide to the chapters of \booktitle{Liber abbaci}",
}
@Article{Ercan:2017:STG,
author = "Sinan Ercan and {\c{C}}igdem A. Bektas",
title = "Some topological and geometric properties of a new
{BK}-space derived by using regular matrix of
{Fibonacci} numbers",
journal = j-LIN-MULT-ALGEBRA,
volume = "65",
number = "5",
pages = "909--921",
year = "2017",
CODEN = "LNMLAZ",
DOI = "https://doi.org/10.1080/03081087.2016.1215403",
ISSN = "0308-1087 (print), 1563-5139 (electronic)",
ISSN-L = "0308-1087",
bibdate = "Mon Feb 20 09:59:31 MST 2017",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/linmultalgebra.bib",
acknowledgement = ack-nhfb,
fjournal = "Linear and Multilinear Algebra",
journal-URL = "http://www.tandfonline.com/loi/glma20",
onlinedate = "29 Jul 2016",
}
@Article{Esmaeili:2017:NCF,
author = "M. Esmaeili and M. Moosavi and T. A. Gulliver",
title = "A new class of {Fibonacci} sequence based error
correcting codes",
journal = j-CRYPTOGR-COMMUN,
volume = "9",
number = "3",
pages = "379--396",
month = may,
year = "2017",
CODEN = "????",
DOI = "https://doi.org/10.1007/s12095-015-0178-x",
ISSN = "1936-2447 (print), 1936-2455 (electronic)",
ISSN-L = "1936-2447",
bibdate = "Wed Mar 15 11:07:39 MDT 2017",
bibsource = "https://www.math.utah.edu/pub/tex/bib/cryptogrcommun.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://link.springer.com/accesspage/article/10.1007/s12095-015-0178-x",
acknowledgement = ack-nhfb,
fjournal = "Cryptography and Communications",
journal-URL = "http://link.springer.com/journal/12095",
}
@Article{Grassl:2017:FLS,
author = "Markus Grassl and Andrew J. Scott",
title = "{Fibonacci--Lucas SIC--POVMs}",
journal = j-J-MATH-PHYS,
volume = "58",
number = "12",
pages = "122201",
month = dec,
year = "2017",
CODEN = "JMAPAQ",
DOI = "https://doi.org/10.1063/1.4995444",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
bibdate = "Sat Jan 13 13:45:58 MST 2018",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphys2015.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
}
@Article{Griffiths:2017:TFI,
author = "Martin Griffiths",
title = "101.44 On a trivariate {Fibonacci} identity",
journal = j-MATH-GAZ,
volume = "101",
number = "552",
pages = "519--522",
month = nov,
year = "2017",
CODEN = "MAGAAS",
DOI = "https://doi.org/10.1017/mag.2017.146",
ISSN = "0025-5572 (print), 2056-6328 (electronic)",
ISSN-L = "0025-5572",
bibdate = "Mon Jun 4 06:21:53 MDT 2018",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/mathgaz2010.bib",
URL = "https://www.cambridge.org/core/journals/mathematical-gazette/article/10144-on-a-trivariate-fibonacci-identity/3B7FB8358D69D30E49364C7EF70D87A5",
acknowledgement = ack-nhfb,
ajournal = "Math. Gaz.",
fjournal = "The Mathematical Gazette",
journal-URL = "http://journals.cambridge.org/action/displayIssue?jid=MAG;
http://www.m-a.org.uk/jsp/index.jsp?lnk=620",
onlinedate = "16 October 2017",
}
@Article{Hansen:2017:HH,
author = "Thomas Dueholm Hansen and Haim Kaplan and Robert E.
Tarjan and Uri Zwick",
title = "Hollow Heaps",
journal = j-TALG,
volume = "13",
number = "3",
pages = "42:1--42:??",
month = aug,
year = "2017",
CODEN = "????",
DOI = "https://doi.org/10.1145/3093240",
ISSN = "1549-6325 (print), 1549-6333 (electronic)",
ISSN-L = "1549-6325",
bibdate = "Wed Aug 9 16:15:20 MDT 2017",
bibsource = "http://portal.acm.org/;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/talg.bib",
abstract = "We introduce the hollow heap, a very simple data
structure with the same amortized efficiency as the
classical Fibonacci heap. All heap operations except
delete and delete --- min take $ O(1) $ time, worst
case as well as amortized; delete and delete --- min
take $ O(\log n) $ amortized time on a heap of n items.
Hollow heaps are the simplest structure to achieve
these bounds. Hollow heaps combine two novel ideas: the
use of lazy deletion and re-insertion to do decrease
--- key operations and the use of a dag (directed
acyclic graph) instead of a tree or set of trees to
represent a heap. Lazy deletion produces hollow nodes
(nodes without items), giving the data structure its
name.",
acknowledgement = ack-nhfb,
articleno = "42",
fjournal = "ACM Transactions on Algorithms (TALG)",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J982",
}
@Article{Hlynka:2017:MFD,
author = "Myron Hlynka",
title = "{MCMC} and the {Fibonacci} distribution",
journal = j-COMMUN-STAT-SIMUL-COMPUT,
volume = "46",
number = "5",
pages = "3375--3382",
year = "2017",
CODEN = "CSSCDB",
DOI = "https://doi.org/10.1080/03610918.2015.1085558",
ISSN = "0361-0918",
ISSN-L = "0361-0918",
bibdate = "Fri Aug 18 09:09:50 MDT 2017",
bibsource = "https://www.math.utah.edu/pub/tex/bib/communstatsimulcomput2010.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Communications in Statistics: Simulation and
Computation",
journal-URL = "http://www.tandfonline.com/loi/lssp20",
onlinedate = "23 Oct 2015",
}
@Article{Motegi:2017:GTE,
author = "Kimihiko Motegi and Masakazu Teragaito",
title = "Generalized Torsion Elements and Bi-orderability of
$3$-manifold Groups",
journal = j-CAN-MATH-BULL,
volume = "60",
number = "4",
pages = "830--??",
month = dec,
year = "2017",
CODEN = "CMBUA3",
DOI = "https://doi.org/10.4153/CMB-2017-008-8",
ISSN = "0008-4395 (print), 1496-4287 (electronic)",
ISSN-L = "0008-4395",
bibdate = "Sat Jan 13 15:26:56 MST 2018",
bibsource = "http://cms.math.ca/cmb/v60/n4;
https://www.math.utah.edu/pub/tex/bib/canmathbull.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
abstract = "It is known that a bi-orderable group has no
generalized torsion element, but the converse does not
hold in general. We conjecture that the converse holds
for the fundamental groups of $3$-manifolds, and verify
the conjecture for non-hyperbolic, geometric
$3$-manifolds. We also confirm the conjecture for some
infinite families of closed hyperbolic $3$-manifolds.
In the course of the proof, we prove that each standard
generator of the Fibonacci group $ F(2, m)$ ($ m \gt
2$) is a generalized torsion element.",
acknowledgement = ack-nhfb,
journal-URL = "http://cms.math.ca/cmb/",
}
@Article{Neunhauserer:2017:RFR,
author = "J{\"o}rg Neunh{\"a}userer",
title = "Return of {Fibonacci} random walks",
journal = j-STAT-PROB-LETT,
volume = "121",
number = "??",
pages = "51--53",
month = feb,
year = "2017",
CODEN = "SPLTDC",
ISSN = "0167-7152 (print), 1879-2103 (electronic)",
ISSN-L = "0167-7152",
bibdate = "Sat Dec 10 10:06:55 MST 2016",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/statproblett2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0167715215301917",
acknowledgement = ack-nhfb,
fjournal = "Statistics \& Probability Letters",
journal-URL = "http://www.sciencedirect.com/science/journal/01677152",
}
@Article{Parshall:2017:PAA,
author = "Karen Hunger Parshall",
title = "A plurality of algebras, 1200--1600: algebraic
{Europe} from {Fibonacci} to {Clavius}",
journal = j-BSHM-BULL,
volume = "32",
number = "1",
pages = "2--16",
year = "2017",
CODEN = "????",
DOI = "https://doi.org/10.1080/17498430.2016.1225340",
ISSN = "1749-8430 (print), 1749-8341 (electronic)",
ISSN-L = "1749-8341",
MRclass = "01A35 (01A40)",
MRnumber = "3610354",
bibdate = "Tue Jun 20 11:40:34 MDT 2017",
bibsource = "https://www.math.utah.edu/pub/tex/bib/bshm.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.tandfonline.com/doi/full/10.1080/17498430.2016.1225340",
acknowledgement = ack-nhfb,
ajournal = "BSHM Bull.",
fjournal = "BSHM Bulletin: Journal of the British Society for the
History of Mathematics",
journal-URL = "http://www.tandfonline.com/loi/tbsh20",
onlinedate = "08 Nov 2016",
}
@Article{Pongsriiam:2017:IVG,
author = "Prapanpong Pongsriiam",
title = "Integral Values of the Generating Functions of
{Fibonacci} and {Lucas} Numbers",
journal = j-COLLEGE-MATH-J,
volume = "48",
number = "2",
pages = "97--101",
month = mar,
year = "2017",
CODEN = "????",
DOI = "https://doi.org/10.4169/college.math.j.48.2.97",
ISSN = "0746-8342 (print), 1931-1346 (electronic)",
ISSN-L = "0746-8342",
bibdate = "Thu Feb 14 10:09:57 MST 2019",
bibsource = "https://www.math.utah.edu/pub/tex/bib/collegemathj.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.tandfonline.com/doi/abs/10.4169/college.math.j.48.2.97",
acknowledgement = ack-nhfb,
fjournal = "College Mathematics Journal",
journal-URL = "https://maa.tandfonline.com/loi/ucmj20;
https://www.jstor.org/journal/collmathj",
onlinedate = "27 Nov 2017",
}
@Article{Sikhwal:2017:GMC,
author = "Omprakash Sikhwal and Yashwant Vyas and Shikha
Bhatnagar",
title = "Generalized Multiplicative Coupled {Fibonacci}
Sequence and its Properties",
journal = j-INT-J-COMP-APPL,
volume = "158",
number = "??",
pages = "14--17",
month = jan,
year = "2017",
CODEN = "????",
DOI = "https://doi.org/10.5120/ijca2017912838",
ISSN = "0975-8887",
ISSN-L = "0975-8887",
bibdate = "Fri Jan 24 09:32:50 MST 2025",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/intjcompappl.bib",
URL = "https://www.ijcaonline.org/archives/volume158/number10/26941-2017912838/",
acknowledgement = ack-nhfb,
ajournal = "Intern. J. of Computer Applications",
articleno = "10",
fjournal = "International Journal of Computer Applications",
journal-URL = "https://www.ijcaonline.org/",
}
@Article{Sobolewski:2017:AVG,
author = "Bartosz Sobolewski",
title = "The $2$-adic valuation of generalized {Fibonacci}
sequences with an application to certain {Diophantine}
equations",
journal = j-J-NUMBER-THEORY,
volume = "180",
number = "??",
pages = "730--742",
month = nov,
year = "2017",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/j.jnt.2017.06.008",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Wed Jul 15 08:49:31 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jnumbertheory2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0022314X17302354",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
}
@Article{Stampfli:2017:BGC,
author = "Marx Stampfli",
title = "Bridged graphs, circuits and {Fibonacci} numbers",
journal = j-APPL-MATH-COMP,
volume = "302",
number = "??",
pages = "68--79",
day = "1",
month = jun,
year = "2017",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Sat Feb 4 09:04:44 MST 2017",
bibsource = "https://www.math.utah.edu/pub/tex/bib/applmathcomput2015.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300316307640",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003/",
}
@Article{Toller:2017:BRF,
author = "Owen Toller",
title = "Book Review: {{\booktitle{Finding Fibonacci}} by Keith
Devlin, pp. 241, \pounds 24.95, ISBN 978-0-691-17486-0,
Princeton University Press (2017)}",
journal = j-MATH-GAZ,
volume = "101",
number = "552",
pages = "569--570",
month = nov,
year = "2017",
CODEN = "MAGAAS",
DOI = "https://doi.org/10.1017/mag.2017.166",
ISSN = "0025-5572 (print), 2056-6328 (electronic)",
ISSN-L = "0025-5572",
bibdate = "Mon Jun 4 06:21:54 MDT 2018",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/mathgaz2010.bib",
URL = "https://www.cambridge.org/core/journals/mathematical-gazette/article/finding-fibonacci-by-keith-devlin-pp-241-2495-isbn-9780691174860-princeton-university-press-2017/263E75E701900510EA12D5BE5458A741",
acknowledgement = ack-nhfb,
ajournal = "Math. Gaz.",
fjournal = "The Mathematical Gazette",
journal-URL = "http://journals.cambridge.org/action/displayIssue?jid=MAG;
http://www.m-a.org.uk/jsp/index.jsp?lnk=620",
onlinedate = "16 October 2017",
}
@Article{Toller:2017:BRFa,
author = "Owen Toller",
title = "Book Review: {{\booktitle{Finding Fibonacci}} by Keith
Devlin, pp. 241, \pounds 24.95, ISBN 978-0-691-17486-0,
Princeton University Press (2017)}",
journal = j-MATH-GAZ,
volume = "101",
number = "552",
pages = "569--570",
month = nov,
year = "2017",
CODEN = "MAGAAS",
DOI = "https://doi.org/10.1017/mag.2017.166",
ISSN = "0025-5572 (print), 2056-6328 (electronic)",
ISSN-L = "0025-5572",
bibdate = "Mon Jun 4 06:21:54 MDT 2018",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/mathgaz2010.bib",
URL = "https://www.cambridge.org/core/journals/mathematical-gazette/article/finding-fibonacci-by-keith-devlin-pp-241-2495-isbn-9780691174860-princeton-university-press-2017/263E75E701900510EA12D5BE5458A741",
acknowledgement = ack-nhfb,
ajournal = "Math. Gaz.",
fjournal = "The Mathematical Gazette",
journal-URL = "http://journals.cambridge.org/action/displayIssue?jid=MAG;
http://www.m-a.org.uk/jsp/index.jsp?lnk=620",
onlinedate = "16 October 2017",
}
@Article{Wang:2017:GHP,
author = "Weiping Wang and Hui Wang",
title = "Generalized {Humbert} polynomials via generalized
{Fibonacci} polynomials",
journal = j-APPL-MATH-COMP,
volume = "307",
number = "??",
pages = "204--216",
day = "15",
month = aug,
year = "2017",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Sat Aug 12 16:28:38 MDT 2017",
bibsource = "https://www.math.utah.edu/pub/tex/bib/applmathcomput2015.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300317301613",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@Article{Ye:2017:CGC,
author = "Xiaoli Ye and Zhizheng Zhang",
title = "A common generalization of convolved generalized
{Fibonacci} and {Lucas} polynomials and its
applications",
journal = j-APPL-MATH-COMP,
volume = "306",
number = "??",
pages = "31--37",
day = "1",
month = aug,
year = "2017",
CODEN = "AMHCBQ",
DOI = "https://doi.org/10.1016/j.amc.2017.02.016",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Mon Mar 27 15:56:14 MDT 2017",
bibsource = "https://www.math.utah.edu/pub/tex/bib/applmathcomput2015.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300317301200",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@Article{Ciocci:2018:BRT,
author = "Argante Ciocci",
title = "Book Review: {{\booktitle{The Twelfth Chapter of
Fibonacci's Liber Abaci in its 1202 version}},
Bollettino di Storia delle Scienze Matematiche, by
Enrico Giusti (ed.)}",
journal = j-NUNCIUS,
volume = "33",
number = "1",
pages = "137--139",
month = "????",
year = "2018",
CODEN = "????",
DOI = "https://doi.org/10.1163/18253911-03301006",
ISSN = "0394-7394 (print), 1825-3911 (electronic)",
ISSN-L = "0394-7394",
bibdate = "Sat Feb 10 09:14:59 MST 2018",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/nuncius.bib",
URL = "http://booksandjournals.brillonline.com/content/journals/10.1163/18253911-03301006",
acknowledgement = ack-nhfb,
fjournal = "Nuncius",
journal-URL = "http://booksandjournals.brillonline.com/content/journals/18253911",
pagecount = "3",
}
@Article{Coskun:2018:NBP,
author = "Arzu Coskun and Necati Taskara",
title = "A note on the bi-periodic {Fibonacci} and {Lucas}
matrix sequences",
journal = j-APPL-MATH-COMP,
volume = "320",
number = "??",
pages = "400--406",
day = "1",
month = mar,
year = "2018",
CODEN = "AMHCBQ",
DOI = "https://doi.org/10.1016/j.amc.2017.09.031",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Wed Nov 15 17:37:15 MST 2017",
bibsource = "https://www.math.utah.edu/pub/tex/bib/applmathcomput2015.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300317306598",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@Article{Florek:2018:CGT,
author = "Wojciech Florek",
title = "A class of generalized {Tribonacci} sequences applied
to counting problems",
journal = j-APPL-MATH-COMP,
volume = "338",
number = "??",
pages = "789--808",
day = "1",
month = dec,
year = "2018",
CODEN = "AMHCBQ",
DOI = "https://doi.org/10.1016/j.amc.2018.06.014",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Fri Sep 14 08:14:14 MDT 2018",
bibsource = "https://www.math.utah.edu/pub/tex/bib/applmathcomput2015.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300318305022",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@Article{Hare:2018:PRF,
author = "Kevin G. Hare and J. C. Saunders",
title = "On $ (a, b) $ pairs in random {Fibonacci} sequences",
journal = j-J-NUMBER-THEORY,
volume = "190",
number = "??",
pages = "352--366",
month = sep,
year = "2018",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/j.jnt.2018.03.002",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Wed Jul 15 08:49:37 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jnumbertheory2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0022314X18300891",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
}
@Article{Jameson:2018:FPM,
author = "G. J. O. Jameson",
title = "{Fibonacci} periods and multiples",
journal = j-MATH-GAZ,
volume = "101",
number = "553",
pages = "63--76",
month = mar,
year = "2018",
CODEN = "MAGAAS",
DOI = "https://doi.org/10.1017/mag.2018.8",
ISSN = "0025-5572 (print), 2056-6328 (electronic)",
ISSN-L = "0025-5572",
bibdate = "Mon Jun 4 06:19:41 MDT 2018",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/mathgaz2010.bib",
URL = "https://www.cambridge.org/core/journals/mathematical-gazette/article/fibonacci-periods-and-multiples/1CD89C358C7AD0CE86005E0BF340F766",
acknowledgement = ack-nhfb,
ajournal = "Math. Gaz.",
fjournal = "The Mathematical Gazette",
journal-URL = "http://journals.cambridge.org/action/displayIssue?jid=MAG;
http://www.m-a.org.uk/jsp/index.jsp?lnk=620",
onlinedate = "08 February 2018",
}
@Article{Kaddoura:2018:NIU,
author = "Issam Kaddoura and Bassam Mourad",
title = "On a new improved unifying closed formula for all
{Fibonacci}-type sequences and some applications",
journal = j-J-NUMBER-THEORY,
volume = "182",
number = "??",
pages = "271--283",
month = jan,
year = "2018",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/j.jnt.2017.06.014",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Wed Jul 15 08:49:32 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jnumbertheory2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0022314X1730241X",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
}
@Article{Lai:2018:EQK,
author = "Hong Lai and Mingxing Luo and Josef Pieprzyk and
Zhiguo Qu and Mehmet A. Orgun",
title = "Efficient quantum key distribution using
{Fibonacci}-number coding with a biased basis choice",
journal = j-INFO-PROC-LETT,
volume = "134",
number = "??",
pages = "24--30",
month = jun,
year = "2018",
CODEN = "IFPLAT",
DOI = "https://doi.org/10.1016/j.ipl.2018.01.011",
ISSN = "0020-0190 (print), 1872-6119 (electronic)",
ISSN-L = "0020-0190",
bibdate = "Sat Mar 10 13:57:33 MST 2018",
bibsource = "https://www.math.utah.edu/pub/tex/bib/cryptography2010.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/infoproc2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0020019018300267",
acknowledgement = ack-nhfb,
fjournal = "Information Processing Letters",
journal-URL = "http://www.sciencedirect.com/science/journal/00200190",
}
@Article{Luca:2018:PPS,
author = "Florian Luca and Vandita Patel",
title = "On perfect powers that are sums of two {Fibonacci}
numbers",
journal = j-J-NUMBER-THEORY,
volume = "189",
number = "??",
pages = "90--96",
month = aug,
year = "2018",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/j.jnt.2018.02.003",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Wed Jul 15 08:49:36 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jnumbertheory2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0022314X18300520",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
}
@Article{Lynd:2018:SGP,
author = "Chris D. Lynd and James Wright Sharpe",
title = "Sequences Generated by Powers of the $k$-th-order
{Fibonacci} Recurrence Relation",
journal = j-AMER-MATH-MONTHLY,
volume = "125",
number = "5",
pages = "443--446",
year = "2018",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.1080/00029890.2018.1430949",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Dec 13 17:59:04 MST 2021",
bibsource = "https://www.math.utah.edu/pub/tex/bib/amermathmonthly2010.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html;
https://www.tandfonline.com/loi/uamm20",
onlinedate = "12 Apr 2018",
}
@Article{Mollard:2018:EPC,
author = "Michel Mollard",
title = "The existence of perfect codes in a family of
generalized {Fibonacci} cubes",
journal = j-INFO-PROC-LETT,
volume = "140",
number = "??",
pages = "ii--ii",
month = dec,
year = "2018",
CODEN = "IFPLAT",
DOI = "https://doi.org/10.1016/j.ipl.2018.07.010",
ISSN = "0020-0190 (print), 1872-6119 (electronic)",
ISSN-L = "0020-0190",
bibdate = "Fri Sep 14 08:04:51 MDT 2018",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/infoproc2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0020019018301571",
acknowledgement = ack-nhfb,
fjournal = "Information Processing Letters",
journal-URL = "http://www.sciencedirect.com/science/journal/00200190",
}
@Article{Podani:2018:HFD,
author = "J{\'a}nos Podani and {\'A}d{\'a}m Kun and Andr{\'a}s
Szil{\'a}gyi",
title = "How Fast Does {Darwin}'s Elephant Population Grow?",
journal = j-J-HIST-BIOL,
volume = "51",
number = "2",
pages = "259--281",
month = jun,
year = "2018",
CODEN = "JHBIA9",
DOI = "https://doi.org/10.1007/s10739-017-9488-5",
ISSN = "0022-5010 (print), 1573-0387 (electronic)",
ISSN-L = "0022-5010",
bibdate = "Wed Jul 24 07:09:04 MDT 2019",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jhistbiol.bib",
URL = "http://link.springer.com/article/10.1007/s10739-017-9488-5;
http://link.springer.com/content/pdf/10.1007/s10739-017-9488-5.pdf",
acknowledgement = ack-nhfb,
fjournal = "Journal of the History of Biology",
journal-URL = "https://link.springer.com/journal/10739",
keywords = "Darwin's correspondence; Leslie matrix; Population
growth; The \booktitle{Origin of Species}; Tribonacci
series",
}
@Article{Price:2018:PWS,
author = "Tim Price",
title = "Proof Without Words: Sum of Squares of Consecutive
{Fibonacci} Numbers",
journal = j-COLLEGE-MATH-J,
volume = "49",
number = "2",
pages = "121--121",
month = mar,
year = "2018",
CODEN = "????",
DOI = "https://doi.org/10.1080/07468342.2018.1424425",
ISSN = "0746-8342 (print), 1931-1346 (electronic)",
ISSN-L = "0746-8342",
bibdate = "Thu Feb 14 09:56:13 MST 2019",
bibsource = "https://www.math.utah.edu/pub/tex/bib/collegemathj.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.tandfonline.com/doi/full/10.1080/07468342.2018.1424425",
acknowledgement = ack-nhfb,
fjournal = "College Mathematics Journal",
journal-URL = "https://maa.tandfonline.com/loi/ucmj20;
https://www.jstor.org/journal/collmathj",
onlinedate = "20 Feb 2018",
}
@Article{Ruiz:2018:PFS,
author = "Carlos Alexis G{\'o}mez Ruiz and Florian Luca",
title = "On prime factors of the sum of two $k$-{Fibonacci}
numbers",
journal = j-INT-J-NUMBER-THEORY,
volume = "14",
number = "4",
pages = "1171--1195",
month = may,
year = "2018",
DOI = "https://doi.org/10.1142/S1793042118500720",
ISSN = "1793-0421 (print), 1793-7310 (electronic)",
ISSN-L = "1793-0421",
bibdate = "Tue Jul 21 10:35:34 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/ijnt.bib",
URL = "https://www.worldscientific.com/doi/10.1142/S1793042118500720",
abstract = "We consider for integers k \geq 2 the k -generalized
Fibonacci sequences F^{$k$} \: = $ F n $ k $ $ n \geq 2
- k, whose first k terms are 0, \ldots , 0, 1 and each
term afterwards is the sum of the preceding k terms. We
give a lower bound for the largest prime factor of the
sum of two terms in F^{$k$}. As a consequence of our
main result, for every fixed finite set of primes S,
there are only finitely many positive integers k and S
-integers which are a non-trivial sum of two k
-Fibonacci numbers, and all these are effectively
computable.",
acknowledgement = ack-nhfb,
fjournal = "International Journal of Number Theory (IJNT)",
journal-URL = "https://www.worldscientific.com/worldscinet/ijnt",
}
@Article{Rybolowicz:2018:GTG,
author = "Bernard Rybolowicz and Agnieszka Tereszkiewicz",
title = "Generalized tricobsthal and generalized tribonacci
polynomials",
journal = j-APPL-MATH-COMP,
volume = "325",
number = "??",
pages = "297--308",
day = "15",
month = may,
year = "2018",
CODEN = "AMHCBQ",
DOI = "https://doi.org/10.1016/j.amc.2017.12.042",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Wed Feb 7 06:23:04 MST 2018",
bibsource = "https://www.math.utah.edu/pub/tex/bib/applmathcomput2015.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300318300018",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@Article{Scott:2018:SFR,
author = "J. A. Scott",
title = "102.04 On the series of {Fibonacci} reciprocals",
journal = j-MATH-GAZ,
volume = "101",
number = "553",
pages = "100--102",
month = mar,
year = "2018",
CODEN = "MAGAAS",
DOI = "https://doi.org/10.1017/mag.2018.13",
ISSN = "0025-5572 (print), 2056-6328 (electronic)",
ISSN-L = "0025-5572",
bibdate = "Mon Jun 4 06:19:41 MDT 2018",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/mathgaz2010.bib",
URL = "https://www.cambridge.org/core/journals/mathematical-gazette/article/10204-on-the-series-of-fibonacci-reciprocals/874B3D016DC21BAC874EE884E26D4D96",
acknowledgement = ack-nhfb,
ajournal = "Math. Gaz.",
fjournal = "The Mathematical Gazette",
journal-URL = "http://journals.cambridge.org/action/displayIssue?jid=MAG;
http://www.m-a.org.uk/jsp/index.jsp?lnk=620",
onlinedate = "08 February 2018",
}
@Article{Simpson:2018:BRF,
author = "Richard Simpson",
title = "Book Review: {{\booktitle{Finding Fibonacci: the quest
to rediscover the forgotten mathematical genius who
changed the world}}, by Keith Devlin}",
journal = j-BSHM-BULL,
volume = "33",
number = "2",
pages = "136--137",
year = "2018",
CODEN = "????",
DOI = "https://doi.org/10.1080/17498430.2017.1396782",
ISSN = "1749-8430 (print), 1749-8341 (electronic)",
ISSN-L = "1749-8341",
bibdate = "Wed Jul 4 09:34:07 MDT 2018",
bibsource = "https://www.math.utah.edu/pub/tex/bib/bshm.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.tandfonline.com/doi/full/10.1080/17498430.2017.1396782",
acknowledgement = ack-nhfb,
ajournal = "BSHM Bull.",
fjournal = "BSHM Bulletin: Journal of the British Society for the
History of Mathematics",
journal-URL = "http://www.tandfonline.com/loi/tbsh20",
onlinedate = "20 Nov 2017",
}
@Article{Yang:2018:SIG,
author = "Jizhen Yang and Zhizheng Zhang",
title = "Some identities of the generalized {Fibonacci} and
{Lucas} sequences",
journal = j-APPL-MATH-COMP,
volume = "339",
number = "??",
pages = "441--450",
day = "15",
month = dec,
year = "2018",
CODEN = "AMHCBQ",
DOI = "https://doi.org/10.1016/j.amc.2018.07.054",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Fri Sep 14 08:14:15 MDT 2018",
bibsource = "https://www.math.utah.edu/pub/tex/bib/applmathcomput2015.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300318306209",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@Article{Bonardo:2019:NVF,
author = "Pierre Bonardo and Anna E. Frid and Jeffrey Shallit",
title = "The number of valid factorizations of {Fibonacci}
prefixes",
journal = j-THEOR-COMP-SCI,
volume = "775",
number = "??",
pages = "68--75",
day = "5",
month = jul,
year = "2019",
CODEN = "TCSCDI",
DOI = "https://doi.org/10.1016/j.tcs.2018.12.016",
ISSN = "0304-3975 (print), 1879-2294 (electronic)",
ISSN-L = "0304-3975",
bibdate = "Sat Jun 15 10:14:21 MDT 2019",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/tcs2015.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0304397518307497",
acknowledgement = ack-nhfb,
fjournal = "Theoretical Computer Science",
journal-URL = "http://www.sciencedirect.com/science/journal/03043975",
}
@Article{Cai:2019:LBL,
author = "Zhaodong Cai and A. J. Hildebrand and Junxian Li",
title = "A local {Benford Law} for a class of arithmetic
sequences",
journal = j-INT-J-NUMBER-THEORY,
volume = "15",
number = "3",
pages = "613--638",
month = apr,
year = "2019",
DOI = "https://doi.org/10.1142/S1793042119500325",
ISSN = "1793-0421 (print), 1793-7310 (electronic)",
ISSN-L = "1793-0421",
bibdate = "Tue Jul 21 10:35:38 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/tex/bib/benfords-law.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/ijnt.bib",
URL = "https://www.worldscientific.com/doi/10.1142/S1793042119500325",
abstract = "It is well known that sequences such as the Fibonacci
numbers and the factorials satisfy Benford's Law; that
is, leading digits in these sequences occur with
frequencies given by $ P(d) = \log_{10} (1 + 1 / d) $,
$ d = 1, 2, \ldots, 9 $. In this paper, we investigate
leading digit distributions of arithmetic sequences
from a local point of view. We call a sequence locally
Benford distributed of order $k$ if, roughly speaking,
$k$-tuples of consecutive leading digits behave like
$k$ independent Benford-distributed digits. This notion
refines that of a Benford distributed sequence, and it
provides a way to quantify the extent to which the
Benford distribution persists at the local level.
Surprisingly, most sequences known to satisfy Benford's
Law have rather poor local distribution properties. In
our main result we establish, for a large class of
arithmetic sequences, a ``best-possible'' local Benford
Law; that is, we determine the maximal value k such
that the sequence is locally Benford distributed of
order k. The result applies, in particular, to
sequences of the form $ \{ a^n \} $, $ \{ a^{n^d} \} $,
and $ \{ n^\beta a^{n^\alpha } \} $, as well as the
sequence of factorials $ \{ n! \} $ and similar
iterated product sequences.",
acknowledgement = ack-nhfb,
fjournal = "International Journal of Number Theory (IJNT)",
journal-URL = "https://www.worldscientific.com/worldscinet/ijnt",
}
@Article{Chatterjee:2019:NPW,
author = "Krishnendu Chatterjee and Hongfei Fu and Amir Kafshdar
Goharshady",
title = "Non-polynomial Worst-Case Analysis of Recursive
Programs",
journal = j-TOPLAS,
volume = "41",
number = "4",
pages = "20:1--20:??",
month = nov,
year = "2019",
CODEN = "ATPSDT",
DOI = "https://doi.org/10.1145/3339984",
ISSN = "0164-0925 (print), 1558-4593 (electronic)",
ISSN-L = "0164-0925",
bibdate = "Sat Nov 23 07:18:02 MST 2019",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/toplas.bib",
URL = "https://dl.acm.org/ft_gateway.cfm?id=3339984",
abstract = "We study the problem of developing efficient
approaches for proving worst-case bounds of
non-deterministic recursive programs. Ranking functions
are sound and complete for proving termination and
worst-case bounds of non-recursive programs. First, we
apply ranking functions to recursion, resulting in
measure functions. We show that measure functions
provide a sound and complete approach to prove
worst-case bounds of non-deterministic recursive
programs. Our second contribution is the synthesis of
measure functions in non-polynomial forms. We show that
non-polynomial measure functions with logarithm and
exponentiation can be synthesized through abstraction
of logarithmic or exponentiation terms, Farkas Lemma,
and Handelman's Theorem using linear programming. While
previous methods obtain polynomial worst-case bounds,
our approach can synthesize bounds of various forms
including O( n log n ) and O( n$^r$ ), where r is not
an integer. We present experimental results to
demonstrate that our approach can efficiently obtain
worst-case bounds of classical recursive algorithms
such as (i) Merge sort, Heap sort, and the
divide-and-conquer algorithm for the Closest Pair
problem, where we obtain O( n log n ) worst-case bound,
and (ii) Karatsuba's algorithm for polynomial
multiplication and Strassen's algorithm for matrix
multiplication, for which we obtain O( n$^r$ ) bounds
such that r is not an integer and is close to the
best-known bound for the respective algorithm. Besides
the ability to synthesize non-polynomial bounds, we
also show that our approach is equally capable of
obtaining polynomial worst-case bounds for classical
programs such as Quick sort and the dynamic programming
algorithm for computing Fibonacci numbers.",
acknowledgement = ack-nhfb,
articleno = "20",
fjournal = "ACM Transactions on Programming Languages and
Systems",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J783",
}
@Article{Glen:2019:MPF,
author = "Amy Glen and Jamie Simpson and W. F. Smyth",
title = "More properties of the {Fibonacci} word on an infinite
alphabet",
journal = j-THEOR-COMP-SCI,
volume = "795",
number = "??",
pages = "301--311",
day = "26",
month = nov,
year = "2019",
CODEN = "TCSCDI",
ISSN = "0304-3975 (print), 1879-2294 (electronic)",
ISSN-L = "0304-3975",
bibdate = "Wed Oct 16 07:39:37 MDT 2019",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/tcs2015.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0304397519304372",
acknowledgement = ack-nhfb,
fjournal = "Theoretical Computer Science",
journal-URL = "http://www.sciencedirect.com/science/journal/03043975",
}
@Article{Gueunet:2019:TBA,
author = "C. Gueunet and P. Fortin and J. Jomier and J. Tierny",
title = "Task-Based Augmented Contour Trees with {Fibonacci}
Heaps",
journal = j-IEEE-TRANS-PAR-DIST-SYS,
volume = "30",
number = "8",
pages = "1889--1905",
month = aug,
year = "2019",
CODEN = "ITDSEO",
DOI = "https://doi.org/10.1109/TPDS.2019.2898436",
ISSN = "1045-9219 (print), 1558-2183 (electronic)",
ISSN-L = "1045-9219",
bibdate = "Fri Aug 30 06:09:58 2019",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/ieeetranspardistsys.bib;
https://www.math.utah.edu/pub/tex/bib/multithreading.bib;
https://www.math.utah.edu/pub/tex/bib/pvm.bib",
acknowledgement = ack-nhfb,
fjournal = "IEEE Transactions on Parallel and Distributed
Systems",
journal-URL = "http://www.computer.org/portal/web/csdl/transactions/tpds",
keywords = "computation procedure; contour tree based
applications; Data analysis; data segmentation
applications; data structures; Data structures; data
visualisation; Data visualization; fast shared memory;
Fibonacci heaps; independent local tasks; intermediate
data structures; join split trees; multi-core
architecture; multi-threading; multicore computation;
OpenMP task runtime; parallel algorithm; parallel
algorithms; Parallel algorithms; parallel thanks;
Runtime; Scientific visualization; Task analysis; task
parallelism; task-based augmented contour trees;
topological data analysis; tree algorithm; trees
(mathematics)",
}
@Book{Hart-Davis:2019:FR,
author = "Adam Hart-Davis",
title = "{Fibonacci}'s Rabbits: and 49 other discoveries that
revolutionised mathematics",
publisher = "Modern Books",
address = "London, UK",
year = "2019",
ISBN = "1-912827-03-4",
ISBN-13 = "978-1-912827-03-9",
LCCN = "????",
bibdate = "Sat Feb 25 07:00:12 MST 2023",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
abstract = "The word mathematics comes from the Greek word
mathema, meaning knowledge or learning. And indeed
mathematics is at the heart of almost all processes and
patterns that occur in the modern world, yet many still
find the discipline hard to fathom.
\booktitle{Fibonacci's Rabbits} solves this problem in
bite-sized `hops', describing the 50 most critical
discoveries and revolutionary moments in the history of
mathematics from Ancient Greece to the present day.",
acknowledgement = ack-nhfb,
subject = "Leonardus; Leonardus; Pisanus; Mathematics; Popular
works; Math{\'y}ematiques; Ouvrages de vulgarisation;
Popular works; Fibonacci-Folge; Mathematics;
Fibonacci-Folge",
subject-dates = "1170--1240",
}
@Article{Kafle:2019:CPE,
author = "Bir Kafle and Florian Luca and Amanda Montejano and
L{\'a}szl{\'o} Szalay and Alain Togb{\'e}",
title = "On the {$X$}-coordinates of {Pell} equations which are
products of two {Fibonacci} numbers",
journal = j-J-NUMBER-THEORY,
volume = "203",
number = "??",
pages = "310--333",
month = oct,
year = "2019",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/j.jnt.2019.03.011",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Wed Jul 15 08:49:44 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jnumbertheory2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0022314X19301167",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
}
@Article{Kilic:2019:NGF,
author = "Emrah Kili{\c{c}} and Talha Arikan",
title = "A {\em nonlinear\/} generalization of the {Filbert}
matrix and its {Lucas} analogue",
journal = j-LIN-MULT-ALGEBRA,
volume = "67",
number = "1",
pages = "141--157",
year = "2019",
CODEN = "LNMLAZ",
DOI = "https://doi.org/10.1080/03081087.2017.1412393",
ISSN = "0308-1087 (print), 1563-5139 (electronic)",
ISSN-L = "0308-1087",
bibdate = "Sat Aug 31 13:00:54 MDT 2019",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/linmultalgebra.bib",
acknowledgement = ack-nhfb,
fjournal = "Linear and Multilinear Algebra",
journal-URL = "http://www.tandfonline.com/loi/glma20",
onlinedate = "12 Dec 2017",
}
@Article{Kuhapatanakul:2019:GFL,
author = "K. Kuhapatanakul and K. Thongsing",
title = "Generalizations of the {Fibonacci--Lucas} Relations",
journal = j-AMER-MATH-MONTHLY,
volume = "126",
number = "1",
pages = "81--81",
year = "2019",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.1080/00029890.2019.1535209",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Dec 13 17:59:06 MST 2021",
bibsource = "https://www.math.utah.edu/pub/tex/bib/amermathmonthly2010.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html;
https://www.tandfonline.com/loi/uamm20",
onlinedate = "30 Jan 2019",
}
@Article{Mabry:2019:FNI,
author = "Rick Mabry",
title = "{Fibonacci} Numbers, Integer Compositions, and Nets of
Antiprisms",
journal = j-AMER-MATH-MONTHLY,
volume = "126",
number = "9",
pages = "786--801",
year = "2019",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.1080/00029890.2019.1644124",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Dec 13 17:59:08 MST 2021",
bibsource = "https://www.math.utah.edu/pub/tex/bib/amermathmonthly2010.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html;
https://www.tandfonline.com/loi/uamm20",
onlinedate = "23 Oct 2019",
}
@Article{Marinho:2019:HPF,
author = "Andre A. Marinho and Francisco A. Brito",
title = "{Hermite} polynomials and {Fibonacci} oscillators",
journal = j-J-MATH-PHYS,
volume = "60",
number = "1",
pages = "012101",
month = jan,
year = "2019",
CODEN = "JMAPAQ",
DOI = "https://doi.org/10.1063/1.5040016",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
bibdate = "Fri Mar 1 08:15:37 MST 2019",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphys2015.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
}
@Article{Subramaniam:2019:LBT,
author = "K. B. Subramaniam",
title = "103.28 {On} a link between {Triangular} and
{Fibonacci} numbers",
journal = j-MATH-GAZ,
volume = "103",
number = "558",
pages = "489--489",
month = nov,
year = "2019",
CODEN = "MAGAAS",
DOI = "https://doi.org/10.1017/mag.2019.110",
ISSN = "0025-5572 (print), 2056-6328 (electronic)",
ISSN-L = "0025-5572",
bibdate = "Sat Dec 21 07:52:34 MST 2019",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/mathgaz2010.bib",
URL = "https://www.cambridge.org/core/journals/mathematical-gazette/article/10328-on-a-link-between-triangular-and-fibonacci-numbers/BAE56357F78DCA5BBE2CCBF593B6610A",
acknowledgement = ack-nhfb,
ajournal = "Math. Gaz.",
fjournal = "The Mathematical Gazette",
journal-URL = "http://journals.cambridge.org/action/displayIssue?jid=MAG;
http://www.m-a.org.uk/jsp/index.jsp?lnk=620",
onlinedate = "21 October 2019",
remark = "The author provides a short proof of his theorem that
``The product of any four consecutive Fibonacci numbers
is twice a triangular number.'' He also points out that
only five Fibonacci numbers: $ 1, 1, 3, 21, 51 $ are
also triangular numbers.",
}
@Article{Talebi:2019:AUB,
author = "Gholamreza Talebi and Mohammad Ali Dehghan",
title = "Approximation of upper bound for matrix operators on
the {Fibonacci} weighted sequence spaces",
journal = j-LIN-MULT-ALGEBRA,
volume = "67",
number = "8",
pages = "1717--1718",
year = "2019",
CODEN = "LNMLAZ",
DOI = "https://doi.org/10.1080/03081087.2019.1614520",
ISSN = "0308-1087 (print), 1563-5139 (electronic)",
ISSN-L = "0308-1087",
bibdate = "Sat Aug 31 13:00:57 MDT 2019",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/linmultalgebra.bib",
acknowledgement = ack-nhfb,
fjournal = "Linear and Multilinear Algebra",
journal-URL = "http://www.tandfonline.com/loi/glma20",
onlinedate = "23 May 2019",
}
@Article{Torrence:2019:PBF,
author = "Bruce Torrence",
title = "Passing the Buck and Firing {Fibonacci}: Adventures
with the Stochastic Abacus",
journal = j-AMER-MATH-MONTHLY,
volume = "126",
number = "5",
pages = "387--399",
year = "2019",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.1080/00029890.2019.1577089",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Dec 13 17:59:07 MST 2021",
bibsource = "https://www.math.utah.edu/pub/tex/bib/amermathmonthly2010.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html;
https://www.tandfonline.com/loi/uamm20",
}
@Article{Altassan:2020:E,
author = "Alaa Altassan and Florian Luca",
title = "On the equation {$ \sum_{j = 1}^k j F_j^p = F_n^q $}",
journal = j-J-NUMBER-THEORY,
volume = "217",
number = "??",
pages = "256--277",
month = dec,
year = "2020",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/j.jnt.2020.05.005",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Tue Dec 29 08:10:17 MST 2020",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jnumbertheory2020.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0022314X20301578",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
keywords = "Fibonacci numbers",
}
@Article{Chung:2020:SFW,
author = "Fan Chung and Ron Graham and Sam Spiro",
title = "Slow {Fibonacci} walks",
journal = j-J-NUMBER-THEORY,
volume = "210",
number = "??",
pages = "142--170",
month = may,
year = "2020",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/j.jnt.2019.09.016",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Wed Jul 15 08:49:48 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jnumbertheory2020.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0022314X19303488",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
}
@Article{Ddamulira:2020:PPK,
author = "Mahadi Ddamulira and Florian Luca",
title = "On the problem of {Pillai} with $k$-generalized
{Fibonacci} numbers and powers of $3$",
journal = j-INT-J-NUMBER-THEORY,
volume = "16",
number = "7",
pages = "1643--1666",
month = aug,
year = "2020",
DOI = "https://doi.org/10.1142/S1793042120500876",
ISSN = "1793-0421 (print), 1793-7310 (electronic)",
ISSN-L = "1793-0421",
bibdate = "Sat Aug 8 09:59:30 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/ijnt.bib",
URL = "https://www.worldscientific.com/doi/10.1142/S1793042120500876",
abstract = "For an integer $ k \geq 2 $, let $ \{ F_n^(k) \}_{n
\geq 2 - k} $ be the $k$-generalized Fibonacci sequence
which starts with $ 0, \ldots, 0, 1$ (a total of $k$
terms) and for which each term afterwards is the sum of
the $k$ preceding terms. In this paper, we find all
integers $c$ with at least two representations as a
difference between a $k$-generalized Fibonacci number
and a power of $3$. This paper continues the previous
work of the first author for the Fibonacci numbers, and
for the Tribonacci numbers.",
acknowledgement = ack-nhfb,
fjournal = "International Journal of Number Theory (IJNT)",
journal-URL = "https://www.worldscientific.com/worldscinet/ijnt",
}
@Article{Dekking:2020:MWB,
author = "Michel Dekking",
title = "Morphic words, {Beatty} sequences and integer images
of the {Fibonacci} language",
journal = j-THEOR-COMP-SCI,
volume = "809",
number = "??",
pages = "407--417",
day = "24",
month = feb,
year = "2020",
CODEN = "TCSCDI",
DOI = "https://doi.org/10.1016/j.tcs.2019.12.036",
ISSN = "0304-3975 (print), 1879-2294 (electronic)",
ISSN-L = "0304-3975",
bibdate = "Thu Apr 23 07:41:38 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/tcs2020.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0304397520300062",
acknowledgement = ack-nhfb,
fjournal = "Theoretical Computer Science",
journal-URL = "http://www.sciencedirect.com/science/journal/03043975",
}
@Article{Egecioglu:2020:KFC,
author = "{\"O}mer E{\u{g}}ecio{\u{g}}lu and Elif Sayg{\i} and
Z{\"u}lf{\"u}kar Sayg{\i}",
title = "$k$-{Fibonacci} Cubes: A Family of Subgraphs of
{Fibonacci} Cubes",
journal = j-INT-J-FOUND-COMP-SCI,
volume = "31",
number = "05",
pages = "639--661",
month = aug,
year = "2020",
DOI = "https://doi.org/10.1142/S0129054120500318",
ISSN = "0129-0541",
ISSN-L = "0129-0541",
bibdate = "Sun Sep 13 09:54:18 MDT 2020",
bibsource = "http://www.worldscientific.com/loi/ijfcs;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/ijfcs.bib",
URL = "https://www.worldscientific.com/doi/10.1142/S0129054120500318",
abstract = "Hypercubes and Fibonacci cubes are classical models
for interconnection networks with interesting graph
theoretic properties. We consider k -Fibonacci cubes,
which we obtain as subgraphs of Fibonacci cubes by
eliminating certain edges during the fundamental
recursion phase of their construction. These graphs
have the same number of vertices as Fibonacci cubes,
but their edge sets are determined by a parameter k .
We obtain properties of k -Fibonacci cubes including
the number of edges, the average degree of a vertex,
the degree sequence and the number of hypercubes they
contain.",
acknowledgement = ack-nhfb,
fjournal = "International Journal of Foundations of Computer
Science (IJFCS)",
journal-URL = "http://www.worldscientific.com/loi/ijfcs",
}
@Book{Fibonacci:2020:LA,
author = "Leonardo Fibonacci and Enrico Giusti and Paolo
D'Alessandro",
title = "Liber Abbaci",
publisher = "Leo S. Olschki",
address = "Firenze, Italia",
pages = "cxvii + 822 + 22",
year = "2020",
ISBN = "88-222-6658-7",
ISBN-13 = "978-88-222-6658-3",
LCCN = "QA32 .F47 2020",
bibdate = "Mon Apr 25 08:27:46 MDT 2022",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/nuncius.bib",
acknowledgement = ack-nhfb,
author-dates = "Leonardo Fibonacci (approximately 1170--1240)",
remark = "Nella pagina contro il frontespizio: Museo Galileo,
Istituto e museo di storia della scienza;
Universit{\`a} di Pisa.",
}
@Article{Guillera:2020:WRM,
author = "Jesus Guillera",
title = "When {Ramanujan} Meets {Fibonacci} and {Lucas}",
journal = j-AMER-MATH-MONTHLY,
volume = "127",
number = "2",
pages = "159--159",
year = "2020",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.1080/00029890.2020.1682897",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Dec 13 15:45:45 MST 2021",
bibsource = "https://www.math.utah.edu/pub/tex/bib/amermathmonthly2020.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html;
https://www.tandfonline.com/loi/uamm20",
onlinedate = "06 Jan 2020",
}
@Article{Ogur:2020:SOS,
author = "Oguz Ogur",
title = "Superposition operators on sequence spaces {$
\ell_p(F) $} derived by using matrix of {Fibonacci}
numbers",
journal = j-LIN-MULT-ALGEBRA,
volume = "68",
number = "10",
pages = "2087--2098",
year = "2020",
CODEN = "LNMLAZ",
DOI = "https://doi.org/10.1080/03081087.2019.1571006",
ISSN = "0308-1087 (print), 1563-5139 (electronic)",
ISSN-L = "0308-1087",
bibdate = "Tue May 18 09:58:08 MDT 2021",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/linmultalgebra.bib",
acknowledgement = ack-nhfb,
fjournal = "Linear and Multilinear Algebra",
journal-URL = "http://www.tandfonline.com/loi/glma20",
onlinedate = "22 Jan 2019",
}
@Article{Peng:2020:AIT,
author = "Wayne Peng",
title = "{ABC} implies there are infinitely many
non--{Fibonacci--Wieferich} primes",
journal = j-J-NUMBER-THEORY,
volume = "212",
number = "??",
pages = "354--375",
month = jul,
year = "2020",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/j.jnt.2019.11.010",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Wed Jul 15 08:49:49 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jnumbertheory2020.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0022314X1930410X",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
}
@Article{Sadek:2020:PFN,
author = "Jawad Sadek and Russell Euler",
title = "104.03 {On} periods of {Fibonacci} numbers using
modular arithmetic on the {Binet} formula",
journal = j-MATH-GAZ,
volume = "104",
number = "559",
pages = "150--154",
month = mar,
year = "2020",
CODEN = "MAGAAS",
DOI = "https://doi.org/10.1017/mag.2020.18",
ISSN = "0025-5572 (print), 2056-6328 (electronic)",
ISSN-L = "0025-5572",
bibdate = "Thu May 28 17:44:25 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/mathgaz2020.bib",
URL = "https://www.cambridge.org/core/journals/mathematical-gazette/article/10403-on-periods-of-fibonacci-numbers-using-modular-arithmetic-on-the-binet-formula/30FE1AC16B389F17D16C5CBB420D9448",
acknowledgement = ack-nhfb,
ajournal = "Math. Gaz.",
fjournal = "The Mathematical Gazette",
journal-URL = "http://journals.cambridge.org/action/displayIssue?jid=MAG;
http://www.m-a.org.uk/jsp/index.jsp?lnk=620",
onlinedate = "02 March 2020",
}
@Article{Sadek:2020:UFL,
author = "Jawad Sadek and Russell Euler",
title = "104.26 {Unusual} {Fibonacci}, {Lucas} and {Pell}
congruence relations",
journal = j-MATH-GAZ,
volume = "104",
number = "561",
pages = "507--509",
month = nov,
year = "2020",
CODEN = "MAGAAS",
DOI = "https://doi.org/10.1017/mag.2020.104",
ISSN = "0025-5572 (print), 2056-6328 (electronic)",
ISSN-L = "0025-5572",
bibdate = "Wed Mar 24 15:20:11 MDT 2021",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/mathgaz2020.bib",
URL = "https://www.cambridge.org/core/journals/mathematical-gazette/article/10426-unusual-fibonacci-lucas-and-pell-congruence-relations/E22427749D42B30385C1C8CCD8D8E902",
acknowledgement = ack-nhfb,
ajournal = "Math. Gaz.",
fjournal = "The Mathematical Gazette",
journal-URL = "http://journals.cambridge.org/action/displayIssue?jid=MAG;
http://www.m-a.org.uk/jsp/index.jsp?lnk=620",
onlinedate = "08 October 2020",
}
@Article{Tengely:2020:DEF,
author = "Szabolcs Tengely and MacIej Ulas",
title = "The {Diophantine} equation {$ F_n = P(x) $}",
journal = j-INT-J-NUMBER-THEORY,
volume = "16",
number = "09",
pages = "2095--2111",
month = oct,
year = "2020",
DOI = "https://doi.org/10.1142/S1793042120501079",
ISSN = "1793-0421 (print), 1793-7310 (electronic)",
ISSN-L = "1793-0421",
bibdate = "Tue May 18 16:16:00 MDT 2021",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/ijnt.bib",
URL = "https://www.worldscientific.com/doi/10.1142/S1793042120501079",
abstract = "We consider equations of the form F_{n}= P $x$ , where
P is a polynomial with integral coefficients and F_{n}
is the n th Fibonacci number that is, F_{0}= 0 \,
F_{1}= 1 and F_{n}= F_{n \\minus 1} + F_{n \\minus 2}
for n \{$>$} 1 {\. }In particular, for each k
\{\u{2}208} {\u{2}115}_{\+} , we prove the existence of
a polynomial F_{k} \{\u{2}208} {\u{2}124} \[ x \] of
degree 2k \\minus 1 such that the Diophantine equation
F_{k} $x$ = F_{m} has infinitely many solutions in
positive integers $ x \, m $ . Moreover, we present
results of our numerical search concerning the
existence of even degree polynomials representing many
Fibonacci numbers. We also determine all integral
solutions $ n \, x $ of the Diophantine equations x 2 +
d= F_{n} for \\minus 20 \\le d \\le 20 and F_{n}= x 5
.",
acknowledgement = ack-nhfb,
fjournal = "International Journal of Number Theory (IJNT)",
journal-URL = "https://www.worldscientific.com/worldscinet/ijnt",
}
@Article{Zhao:2020:FRE,
author = "Xiao-Xin Zhao and Wen-Feng Qi and Jia-Min Zhang",
title = "Further results on the equivalence between {Galois}
{NFSRs} and {Fibonacci} {NFSRs}",
journal = j-DESIGNS-CODES-CRYPTOGR,
volume = "88",
number = "1",
pages = "153--171",
month = jan,
year = "2020",
CODEN = "DCCREC",
DOI = "https://doi.org/10.1007/s10623-019-00677-y",
ISSN = "0925-1022 (print), 1573-7586 (electronic)",
ISSN-L = "0925-1022",
bibdate = "Wed Apr 29 09:21:06 MDT 2020",
bibsource = "http://link.springer.com/journal/10623/88/1;
https://www.math.utah.edu/pub/tex/bib/designscodescryptogr.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "https://link.springer.com/article/10.1007/s10623-019-00677-y",
acknowledgement = ack-nhfb,
fjournal = "Designs, Codes and Cryptography",
journal-URL = "http://link.springer.com/journal/10623",
}
@Article{Andrade:2021:CLM,
author = "Enide Andrade and Dante Carrasco-Olivera and Cristina
Manzaneda",
title = "On circulant like matrices properties involving
{Horadam}, {Fibonacci}, {Jacobsthal} and {Pell}
numbers",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "617",
number = "??",
pages = "100--120",
day = "15",
month = may,
year = "2021",
CODEN = "LAAPAW",
DOI = "https://doi.org/10.1016/j.laa.2021.01.016",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibdate = "Fri Mar 12 08:38:32 MST 2021",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/linala2020.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0024379521000355",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795",
}
@Article{Biggs:2021:LPF,
author = "Norman Biggs",
title = "Linear Programming from {Fibonacci} to {Farkas}",
journal = j-ANN-SCIENCE,
volume = "78",
number = "1",
pages = "1--21",
year = "2021",
CODEN = "ANNSA8",
DOI = "https://doi.org/10.1080/00033790.2020.1811377",
ISSN = "0003-3790 (print), 1464-505X (electronic)",
ISSN-L = "0003-3790",
bibdate = "Sat Mar 6 08:58:37 MST 2021",
bibsource = "https://www.math.utah.edu/pub/tex/bib/annscience.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "Annals of Science",
journal-URL = "http://www.tandfonline.com/loi/tasc20",
}
@Article{Bravo:2021:CVG,
author = "Jhon J. Bravo and Jose L. Herrera and Florian Luca",
title = "Common values of generalized {Fibonacci} and {Pell}
sequences",
journal = j-J-NUMBER-THEORY,
volume = "226",
number = "??",
pages = "51--71",
month = sep,
year = "2021",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/j.jnt.2021.03.001",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Sat Sep 4 10:35:57 MDT 2021",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jnumbertheory2020.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0022314X21000767",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
}
@Article{Chow:2021:FP,
author = "Sam Chow and Tom Slattery",
title = "On {Fibonacci} partitions",
journal = j-J-NUMBER-THEORY,
volume = "225",
number = "??",
pages = "310--326",
month = aug,
year = "2021",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/j.jnt.2021.02.010",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Sat Sep 4 10:35:56 MDT 2021",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jnumbertheory2020.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0022314X21000846",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
}
@Article{Egecioglu:2021:NSC,
author = "{\"O}mer E{\u{g}}ecio{\u{g}}lu and Elif Sayg\i and
Z{\"u}lf{\"u}kar Sayg\i",
title = "The number of short cycles in {Fibonacci} cubes",
journal = j-THEOR-COMP-SCI,
volume = "871",
number = "??",
pages = "134--146",
day = "6",
month = jun,
year = "2021",
CODEN = "TCSCDI",
DOI = "https://doi.org/10.1016/j.tcs.2021.04.019",
ISSN = "0304-3975 (print), 1879-2294 (electronic)",
ISSN-L = "0304-3975",
bibdate = "Sat Sep 4 11:08:16 MDT 2021",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/tcs2020.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0304397521002395",
acknowledgement = ack-nhfb,
fjournal = "Theoretical Computer Science",
journal-URL = "http://www.sciencedirect.com/science/journal/03043975",
}
@Article{Gomez:2021:TRF,
author = "Carlos A. G{\'o}mez and Jhonny C. G{\'o}mez and
Florian Luca",
title = "Two $b$-repunits in the {Fibonacci} sequence",
journal = j-J-NUMBER-THEORY,
volume = "222",
number = "??",
pages = "393--422",
month = may,
year = "2021",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/j.jnt.2020.10.006",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Thu Mar 11 07:30:20 MST 2021",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jnumbertheory2020.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0022314X20303309",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
}
@Article{Griffiths:2021:SCF,
author = "Martin Griffiths",
title = "105.01 {On} some composite {Fibonacci} expressions",
journal = j-MATH-GAZ,
volume = "105",
number = "562",
pages = "106--108",
month = mar,
year = "2021",
CODEN = "MAGAAS",
DOI = "https://doi.org/10.1017/mag.2021.14",
ISSN = "0025-5572 (print), 2056-6328 (electronic)",
ISSN-L = "0025-5572",
bibdate = "Wed Mar 24 15:20:12 MDT 2021",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/mathgaz2020.bib",
URL = "https://www.cambridge.org/core/journals/mathematical-gazette/article/10501-on-some-composite-fibonacci-expressions/962C6CBAE91D197480CD67D200E9942F",
acknowledgement = ack-nhfb,
ajournal = "Math. Gaz.",
fjournal = "The Mathematical Gazette",
journal-URL = "http://journals.cambridge.org/action/displayIssue?jid=MAG;
http://www.m-a.org.uk/jsp/index.jsp?lnk=620",
onlinedate = "17 February 2021",
}
@Article{Hiller:2021:FBP,
author = "Josh Hiller",
title = "{Fibonacci}'s Bunny-pocalypse!",
journal = j-AMER-MATH-MONTHLY,
volume = "128",
number = "1",
pages = "78--78",
year = "2021",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.1080/00029890.2021.1835340",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Dec 13 15:45:47 MST 2021",
bibsource = "https://www.math.utah.edu/pub/tex/bib/amermathmonthly2020.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html;
https://www.tandfonline.com/loi/uamm20",
onlinedate = "15 Jan 2021",
}
@Article{Jagannathan:2021:FQC,
author = "Anuradha Jagannathan",
title = "The {Fibonacci} quasicrystal: Case study of hidden
dimensions and multifractality",
journal = j-REV-MOD-PHYS,
volume = "93",
number = "4",
pages = "045001--??",
month = apr,
year = "2021",
CODEN = "RMPHAT",
DOI = "https://doi.org/10.1103/RevModPhys.93.045001",
ISSN = "0034-6861 (print), 1538-4527 (electronic), 1539-0756",
ISSN-L = "0034-6861",
bibdate = "Fri Jan 21 16:01:46 MST 2022",
bibsource = "http://rmp.aps.org/toc/RMP/v93/i4;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/revmodphys2020.bib",
URL = "http://journals.aps.org/rmp/abstract/10.1103/RevModPhys.93.045001",
acknowledgement = ack-nhfb,
fjournal = "Reviews of Modern Physics",
journal-URL = "http://rmp.aps.org/browse",
onlinedate = "9 November 2021",
}
@Article{Kebli:2021:NIS,
author = "Salima Kebli and Omar Kihel and Jesse Larone and
Florian Luca",
title = "On the nonnegative integer solutions to the equation
{$ F_n \pm F_m = y^a $}",
journal = j-J-NUMBER-THEORY,
volume = "220",
number = "??",
pages = "107--127",
month = mar,
year = "2021",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/j.jnt.2020.08.004",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Tue Dec 29 08:10:19 MST 2020",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jnumbertheory2020.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0022314X20302559",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
keywords = "Fibonacci numbers",
}
@Article{Kumar:2021:IDS,
author = "Sachin Kumar",
title = "Image data security using {Quasigroup} combined with
{Fibonacci} {Q}-transformation",
journal = j-J-INFO-SEC-APPL,
volume = "61",
number = "??",
pages = "??--??",
month = sep,
year = "2021",
CODEN = "????",
DOI = "https://doi.org/10.1016/j.jisa.2021.102941",
ISSN = "2214-2126",
ISSN-L = "2214-2126",
bibdate = "Sun May 8 11:59:38 MDT 2022",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jinfosecappl.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S2214212621001575",
acknowledgement = ack-nhfb,
ajournal = "J. Info. Sec. Appl.",
articleno = "102941",
fjournal = "Journal of Information Security and Applications
(JISA)",
journal-URL = "http://www.sciencedirect.com/science/journal/22142126",
}
@Article{Liu:2021:SPF,
author = "Zhixin Liu and Mengyuan Xue",
title = "The sum of a prime and a {Fibonacci} number",
journal = j-INT-J-NUMBER-THEORY,
volume = "17",
number = "08",
pages = "1815--1823",
month = sep,
year = "2021",
DOI = "https://doi.org/10.1142/S1793042121500640",
ISSN = "1793-0421 (print), 1793-7310 (electronic)",
ISSN-L = "1793-0421",
bibdate = "Fri Jun 24 11:06:47 MDT 2022",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/ijnt.bib",
URL = "https://www.worldscientific.com/doi/10.1142/S1793042121500640",
acknowledgement = ack-nhfb,
fjournal = "International Journal of Number Theory (IJNT)",
journal-URL = "https://www.worldscientific.com/worldscinet/ijnt",
}
@Article{Marques:2021:ESF,
author = "R. Marques and C. Bouville and K. Bouatouch and J.
Blat",
title = "Extensible Spherical {Fibonacci} Grids",
journal = j-IEEE-TRANS-VIS-COMPUT-GRAPH,
volume = "27",
number = "4",
pages = "2341--2354",
year = "2021",
CODEN = "ITVGEA",
DOI = "https://doi.org/10.1109/TVCG.2019.2952131",
ISSN = "1077-2626",
ISSN-L = "1077-2626",
bibdate = "Thu Mar 4 09:23:05 2021",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/ieeetransviscomputgraph2020.bib",
acknowledgement = ack-nhfb,
fjournal = "IEEE Transactions on Visualization and Computer
Graphics",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=2945",
}
@Article{Aldossari:2022:SAL,
author = "Haifa Aldossari and Michael Mascagni",
title = "Scrambling additive lagged-{Fibonacci} generators",
journal = j-MONTE-CARLO-METHODS-APPL,
volume = "28",
number = "3",
pages = "??--??",
month = "????",
year = "2022",
CODEN = "MCMAC6",
DOI = "https://doi.org/10.1515/mcma-2022-2115",
ISSN = "0929-9629 (print), 1569-3961 (electronic)",
ISSN-L = "0929-9629",
bibdate = "Thu Apr 25 09:47:45 MDT 2024",
bibsource = "https://www.degruyter.com/journal/key/MCMA/28/3/html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/mcma.bib",
URL = "https://www.degruyter.com/document/doi/10.1515/mcma-2022-2115/html",
acknowledgement = ack-nhfb,
fjournal = "Monte Carlo Methods and Applications",
journal-URL = "http://www.degruyter.com/view/j/mcma",
}
@Article{Baril:2022:GCF,
author = "Jean-Luc Baril and Sergey Kirgizov and Vincent
Vajnovszki",
title = "{Gray} codes for {Fibonacci} $q$-decreasing words",
journal = j-THEOR-COMP-SCI,
volume = "927",
number = "??",
pages = "120--132",
day = "26",
month = aug,
year = "2022",
CODEN = "TCSCDI",
DOI = "https://doi.org/10.1016/j.tcs.2022.06.003",
ISSN = "0304-3975 (print), 1879-2294 (electronic)",
ISSN-L = "0304-3975",
bibdate = "Thu Aug 11 08:32:36 MDT 2022",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/tcs2020.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0304397522003577",
acknowledgement = ack-nhfb,
fjournal = "Theoretical Computer Science",
journal-URL = "http://www.sciencedirect.com/science/journal/03043975",
}
@Article{Beardon:2022:FNC,
author = "A. F. Beardon",
title = "106.33 {Fibonacci} numbers and {Cassini}'s identity",
journal = j-MATH-GAZ,
volume = "106",
number = "567",
pages = "498--501",
month = nov,
year = "2022",
CODEN = "MAGAAS",
DOI = "https://doi.org/10.1017/mag.2022.125",
ISSN = "0025-5572 (print), 2056-6328 (electronic)",
ISSN-L = "0025-5572",
bibdate = "Wed Mar 8 08:42:10 MST 2023",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/mathgaz2020.bib",
URL = "https://www.cambridge.org/core/journals/mathematical-gazette/article/10633-fibonacci-numbers-and-cassinis-identity/5E7A4CD24EDA06A769F51A4989BCAEA8",
acknowledgement = ack-nhfb,
ajournal = "Math. Gaz.",
fjournal = "The Mathematical Gazette",
journal-URL = "http://journals.cambridge.org/action/displayIssue?jid=MAG;
http://www.m-a.org.uk/jsp/index.jsp?lnk=620",
onlinedate = "12 October 2022",
}
@Article{Etminaniesfahani:2022:AHA,
author = "Alireza Etminaniesfahani and Hanyu Gu and Amir
Salehipour",
title = "{ABFIA}: a hybrid algorithm based on artificial bee
colony and {Fibonacci} indicator algorithm",
journal = j-J-COMPUT-SCI,
volume = "61",
pages = "??--??",
month = may,
year = "2022",
CODEN = "????",
DOI = "https://doi.org/10.1016/j.jocs.2022.101651",
ISSN = "1877-7503 (print), 1877-7511 (electronic)",
ISSN-L = "1877-7503",
bibdate = "Tue Sep 19 13:56:09 MDT 2023",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jcomputsci.bib",
URL = "https://www.sciencedirect.com/science/article/pii/S1877750322000679",
acknowledgement = ack-nhfb,
ajournal = "J. Comput. Sci.",
articleno = "101651",
fjournal = "Journal of Computational Science",
journal-URL = "https://www.sciencedirect.com/journal/journal-of-computational-science",
}
@Article{Folkerts:2022:BRL,
author = "Menso Folkerts",
title = "Book Review: {{\booktitle{Leonardi Bigolli Pisani
vulgo Fibonacci. Liber Abbaci}} (Biblioteca di Nuncius;
vol. 79) by Enrico Giusti, Paolo d'Alessandro}",
journal = j-SUDHOFFS-ARCH,
volume = "106",
number = "1",
pages = "123--125",
month = "",
year = "2022",
CODEN = "SUARAH",
ISSN = "0039-4564",
ISSN-L = "0039-4564",
bibdate = "Thu May 30 06:52:05 MDT 2024",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/sudhoffs-arch.bib",
URL = "https://www.jstor.org/stable/48743367",
acknowledgement = ack-nhfb,
fjournal = "{Sudhoffs Archiv: Zeitschrift f{\"u}r
Wissenschaftsgeschichte}",
journal-URL = "http://www.jstor.org/journal/sudharch",
}
@Article{Freguglia:2022:NEL,
author = "Paolo Freguglia",
title = "A New Edition of {Leonardo Fibonacci}'s
{{\booktitle{Liber Abbaci}}}",
journal = j-NUNCIUS,
volume = "37",
number = "1",
pages = "207--213",
month = feb,
year = "2022",
CODEN = "????",
ISSN = "0394-7394 (print), 1825-3911 (electronic)",
ISSN-L = "0394-7394",
bibdate = "Mon Apr 25 08:16:30 MDT 2022",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/nuncius.bib",
URL = "https://brill.com/view/journals/nun/37/1/article-p207_8.xml",
acknowledgement = ack-nhfb,
fjournal = "Nuncius",
journal-URL = "http://booksandjournals.brillonline.com/content/journals/18253911",
}
@Article{Hall:2022:BRF,
author = "Peter Hall",
title = "Book Review: {{\booktitle{Fibonacci's rabbits}} by
Adam Hart-Davis, pp. 176, \pounds 12.99 (paper), ISBN
978-1-912827-03-9, Modern Books (2019)}",
journal = j-MATH-GAZ,
volume = "106",
number = "565",
pages = "191--191",
month = mar,
year = "2022",
CODEN = "MAGAAS",
DOI = "https://doi.org/10.1017/mag.2022.55",
ISSN = "0025-5572 (print), 2056-6328 (electronic)",
ISSN-L = "0025-5572",
bibdate = "Mon Jul 18 08:23:47 MDT 2022",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/mathgaz2020.bib",
URL = "https://www.cambridge.org/core/journals/mathematical-gazette/article/fibonaccis-rabbits-by-adam-hartdavis-pp-176-1299-paper-isbn-9781-912827039-modern-books-2019/D1C56DFBA72389E0E70A458F2FCA27F5",
acknowledgement = ack-nhfb,
ajournal = "Math. Gaz.",
fjournal = "The Mathematical Gazette",
journal-URL = "http://journals.cambridge.org/action/displayIssue?jid=MAG;
http://www.m-a.org.uk/jsp/index.jsp?lnk=620",
onlinedate = "24 February 2022",
}
@Article{Hare:2022:GFS,
author = "Kevin Hare and J. C. Saunders",
title = "Generalised {Fibonacci} sequences constructed from
balanced words",
journal = j-J-NUMBER-THEORY,
volume = "231",
number = "??",
pages = "349--377",
month = feb,
year = "2022",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/j.jnt.2021.05.008",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Tue Jan 18 09:59:45 MST 2022",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jnumbertheory2020.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0022314X21001931",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
}
@Article{Jahannia:2022:CZL,
author = "Marieh Jahannia and Morteza Mohammad-Noori and Narad
Rampersad and Manon Stipulanti",
title = "Closed {Ziv--Lempel} factorization of the $m$-bonacci
words",
journal = j-THEOR-COMP-SCI,
volume = "918",
number = "??",
pages = "32--47",
day = "29",
month = may,
year = "2022",
CODEN = "TCSCDI",
DOI = "https://doi.org/10.1016/j.tcs.2022.03.019",
ISSN = "0304-3975 (print), 1879-2294 (electronic)",
ISSN-L = "0304-3975",
bibdate = "Thu May 5 10:05:43 MDT 2022",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/tcs2020.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0304397522001621",
acknowledgement = ack-nhfb,
fjournal = "Theoretical Computer Science",
journal-URL = "http://www.sciencedirect.com/science/journal/03043975",
}
@Article{Javaheri:2022:DFN,
author = "Mohammad Javaheri and Stephanie Cambrea",
title = "The Distribution of {Fibonacci} Numbers Modulo
Primes",
journal = j-AMER-MATH-MONTHLY,
volume = "129",
number = "1",
pages = "75--79",
year = "2022",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.1080/00029890.2022.1993733",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Wed Apr 27 06:48:35 MDT 2022",
bibsource = "https://www.math.utah.edu/pub/tex/bib/amermathmonthly2020.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html;
https://www.tandfonline.com/loi/uamm20",
onlinedate = "30 Nov 2021",
}
@Article{Sporn:2022:FFC,
author = "Howard Sporn",
title = "{Fibonacci} Fraction Circles",
journal = j-MATH-GAZ,
volume = "106",
number = "565",
pages = "1--8",
month = mar,
year = "2022",
CODEN = "MAGAAS",
DOI = "https://doi.org/10.1017/mag.2022.2",
ISSN = "0025-5572 (print), 2056-6328 (electronic)",
ISSN-L = "0025-5572",
bibdate = "Sat Apr 9 08:52:20 MDT 2022",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/mathgaz2020.bib",
URL = "https://www.cambridge.org/core/journals/mathematical-gazette/article/fibonacci-fraction-circles/40C40BE93CB0477893321A2F62FCA713",
acknowledgement = ack-nhfb,
ajournal = "Math. Gaz.",
fjournal = "The Mathematical Gazette",
journal-URL = "http://journals.cambridge.org/action/displayIssue?jid=MAG;
http://www.m-a.org.uk/jsp/index.jsp?lnk=620",
onlinedate = "24 February 2022",
}
@Article{Sporn:2022:FLH,
author = "Howard Sporn",
title = "{Fibonacci--Lucas} hyperbolas",
journal = j-MATH-GAZ,
volume = "106",
number = "566",
pages = "242--246",
month = jul,
year = "2022",
CODEN = "MAGAAS",
DOI = "https://doi.org/10.1017/mag.2022.64",
ISSN = "0025-5572 (print), 2056-6328 (electronic)",
ISSN-L = "0025-5572",
bibdate = "Mon Jul 18 07:47:31 MDT 2022",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/mathgaz2020.bib",
URL = "https://www.cambridge.org/core/journals/mathematical-gazette/article/fibonaccilucas-hyperbolas/0B51B37A75BC9B51020FDF631AA6169C",
acknowledgement = ack-nhfb,
ajournal = "Math. Gaz.",
fjournal = "The Mathematical Gazette",
journal-URL = "http://journals.cambridge.org/action/displayIssue?jid=MAG;
http://www.m-a.org.uk/jsp/index.jsp?lnk=620",
onlinedate = "22 June 2022",
}
@Article{Barrows:2023:TCE,
author = "Sara Barrows and Emily Noye and Sarah Uttormark and
Matthew Wright",
title = "Three's A Crowd: an Exploration of Subprime
{Tribonacci} Sequences",
journal = j-COLLEGE-MATH-J,
volume = "54",
number = "5",
pages = "464--475",
year = "2023",
CODEN = "????",
DOI = "https://doi.org/10.1080/07468342.2023.2263109",
ISSN = "0746-8342 (print), 1931-1346 (electronic)",
ISSN-L = "0746-8342",
bibdate = "Thu Oct 10 07:40:38 MDT 2024",
bibsource = "https://www.math.utah.edu/pub/tex/bib/collegemathj.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.tandfonline.com/doi/full/10.1080/07468342.2023.2263109",
acknowledgement = ack-nhfb,
fjournal = "College Mathematics Journal",
journal-URL = "https://maa.tandfonline.com/loi/ucmj20;
https://www.jstor.org/journal/collmathj",
}
@Article{Bonomo:2023:SF,
author = "John P. Bonomo and Montana Ferita",
title = "A Small Fib",
journal = j-COLLEGE-MATH-J,
volume = "54",
number = "4",
pages = "274--289",
year = "2023",
CODEN = "????",
DOI = "https://doi.org/10.1080/07468342.2023.2225397",
ISSN = "0746-8342 (print), 1931-1346 (electronic)",
ISSN-L = "0746-8342",
bibdate = "Fri Oct 13 08:08:41 MDT 2023",
bibsource = "https://www.math.utah.edu/pub/tex/bib/collegemathj.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.tandfonline.com/doi/full/10.1080/07468342.2023.2225397",
abstract = "The problem of finding a Fibonacci sequence which
contains a specified number and has the smallest second
element is investigated.",
acknowledgement = ack-nhfb,
fjournal = "College Mathematics Journal",
journal-URL = "https://maa.tandfonline.com/loi/ucmj20;
https://www.jstor.org/journal/collmathj",
}
@Article{He:2023:FVW,
author = "B. He and Y. L. Mao and A. Togb{\'e}",
title = "A {Fibonacci} Version of {Wolstenholme}'s Harmonic
Series Congruence",
journal = j-AMER-MATH-MONTHLY,
volume = "130",
number = "1",
pages = "83--85",
year = "2023",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.1080/00029890.2022.2128165",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Fri Aug 25 08:24:35 MDT 2023",
bibsource = "https://www.math.utah.edu/pub/tex/bib/amermathmonthly2020.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html;
https://www.tandfonline.com/loi/uamm20",
onlinedate = "13 Oct 2022",
}
@Article{Shallit:2023:NFP,
author = "Jeffrey Shallit",
title = "Note on a {Fibonacci} parity sequence",
journal = j-CRYPTOGR-COMMUN,
volume = "15",
number = "2",
pages = "309--315",
month = mar,
year = "2023",
CODEN = "????",
DOI = "https://doi.org/10.1007/s12095-022-00592-5",
ISSN = "1936-2447 (print), 1936-2455 (electronic)",
ISSN-L = "1936-2447",
bibdate = "Fri Apr 19 08:38:08 MDT 2024",
bibsource = "https://www.math.utah.edu/pub/tex/bib/cryptogrcommun.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "https://link.springer.com/article/10.1007/s12095-022-00592-5",
acknowledgement = ack-nhfb,
ajournal = "Cryptogr. Commun.",
fjournal = "Cryptography and Communications",
journal-URL = "http://link.springer.com/journal/12095",
}
@Article{Shi:2023:DSE,
author = "Zhengyuan Shi and Cheng Chen and Gangqiang Yang and
Hailiang Xiong and Fudong Li and Honggang Hu and Zhiguo
Wan",
title = "Design Space Exploration of {Galois} and {Fibonacci}
Configuration Based on {Espresso} Stream Cipher",
journal = j-TRETS,
volume = "16",
number = "3",
pages = "43:1--43:??",
month = sep,
year = "2023",
CODEN = "????",
DOI = "https://doi.org/10.1145/3567428",
ISSN = "1936-7406 (print), 1936-7414 (electronic)",
ISSN-L = "1936-7406",
bibdate = "Sat Aug 19 07:37:30 MDT 2023",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/trets.bib",
URL = "https://dl.acm.org/doi/10.1145/3567428",
abstract = "Fibonacci and Galois are two different kinds of
configurations in stream ciphers. Although many
transformations between two configurations have been
proposed, there is no sufficient analysis of their FPGA
performance. Espresso stream cipher provides an
\ldots{}",
acknowledgement = ack-nhfb,
ajournal = "ACM Trans. Reconfigurable Technol. Syst.",
articleno = "43",
fjournal = "ACM Transactions on Reconfigurable Technology and
Systems (TRETS)",
journal-URL = "https://dl.acm.org/loi/trets",
}
@Article{Stewart:2023:SIR,
author = "Se{\'a}n M. Stewart",
title = "107.01 {A} simple integral representation of the
{Fibonacci} numbers",
journal = j-MATH-GAZ,
volume = "107",
number = "568",
pages = "120--123",
month = mar,
year = "2023",
CODEN = "MAGAAS",
DOI = "https://doi.org/10.1017/mag.2023.15",
ISSN = "0025-5572 (print), 2056-6328 (electronic)",
ISSN-L = "0025-5572",
bibdate = "Wed Mar 8 08:42:12 MST 2023",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/mathgaz2020.bib",
URL = "https://www.cambridge.org/core/journals/mathematical-gazette/article/10701-a-simple-integral-representation-of-the-fibonacci-numbers/ADCAC1613B42D6660E37932E748B1A28",
acknowledgement = ack-nhfb,
ajournal = "Math. Gaz.",
fjournal = "The Mathematical Gazette",
journal-URL = "http://journals.cambridge.org/action/displayIssue?jid=MAG;
http://www.m-a.org.uk/jsp/index.jsp?lnk=620",
onlinedate = "16 February 2023",
remark = "The given formula is $ F_n = (n / 2^n) \int_{-1}^{+1}
(1 + x \sqrt {5})^{n - 1} \, d x $.",
}
@Article{Tuenter:2023:SCA,
author = "Hans J. H. Tuenter",
title = "In Search of {Comrade Agronomof}: Some {Tribonacci}
History",
journal = j-AMER-MATH-MONTHLY,
volume = "130",
number = "8",
pages = "708--719",
year = "2023",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.1080/00029890.2023.2231796",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Tue Oct 17 10:37:46 MDT 2023",
bibsource = "https://www.math.utah.edu/pub/tex/bib/amermathmonthly2020.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html;
https://www.tandfonline.com/loi/uamm20",
onlinedate = "25 Sep 2023",
}
@Article{Turner:2023:LSD,
author = "Holly-Anne Turner and Matthew Humpage and Hans Kerp
and Alexander J. Hetherington",
title = "Leaves and sporangia developed in rare non-{Fibonacci}
spirals in early leafy plants",
journal = j-SCIENCE,
volume = "380",
number = "6650",
pages = "1188--1192",
day = "16",
month = jun,
year = "2023",
CODEN = "SCIEAS",
DOI = "https://doi.org/10.1126/science.adg4014",
ISSN = "0036-8075 (print), 1095-9203 (electronic)",
ISSN-L = "0036-8075",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "https://www.science.org/doi/10.1126/science.adg4014",
fjournal = "Science",
journal-URL = "http://www.sciencemag.org/archive/",
}
@Article{Berczes:2024:CNW,
author = "Attila B{\'e}rczes and Istv{\'a}n Pink and Paul Thomas
Young",
title = "{Cullen} numbers and {Woodall} numbers in generalized
{Fibonacci} sequences",
journal = j-J-NUMBER-THEORY,
volume = "262",
number = "??",
pages = "86--102",
month = sep,
year = "2024",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/j.jnt.2024.03.006",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Wed May 29 11:20:50 MDT 2024",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jnumbertheory2020.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0022314X24000799",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
}
@Article{Blasiyus:2024:PIF,
author = "Hannah Blasiyus and D. K. Sheena Christy",
title = "Palindromes in involutive {Fibonacci} arrays",
journal = j-J-SUPERCOMPUTING,
volume = "80",
number = "15",
pages = "22520--22547",
month = oct,
year = "2024",
CODEN = "JOSUED",
DOI = "https://doi.org/10.1007/s11227-024-06299-z",
ISSN = "0920-8542 (print), 1573-0484 (electronic)",
ISSN-L = "0920-8542",
bibdate = "Tue Aug 13 06:33:54 MDT 2024",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jsuper2020.bib",
URL = "https://link.springer.com/article/10.1007/s11227-024-06299-z",
acknowledgement = ack-nhfb,
ajournal = "J. Supercomputing",
fjournal = "The Journal of Supercomputing",
journal-URL = "http://link.springer.com/journal/11227",
}
@Article{Chow:2024:VFP,
author = "Sam Chow and Owen Jones",
title = "On the variance of the {Fibonacci} partition
function",
journal = j-J-NUMBER-THEORY,
volume = "257",
number = "??",
pages = "341--353",
month = apr,
year = "2024",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/j.jnt.2023.11.004",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Wed Mar 20 10:08:33 MDT 2024",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jnumbertheory2020.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0022314X23002329",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
}
@Article{Dvorakova:2024:UBA,
author = "L'ubom{\'\i}ra Dvo{\v{r}}{\'a}kov{\'a} and Edita
Pelantov{\'a}",
title = "An upper bound on asymptotic repetition threshold of
balanced sequences via colouring of the {Fibonacci}
sequence",
journal = j-THEOR-COMP-SCI,
volume = "995",
number = "??",
pages = "??--??",
day = "12",
month = may,
year = "2024",
CODEN = "TCSCDI",
DOI = "https://doi.org/10.1016/j.tcs.2024.114490",
ISSN = "0304-3975 (print), 1879-2294 (electronic)",
ISSN-L = "0304-3975",
bibdate = "Mon Mar 25 15:31:51 MDT 2024",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/tcs2020.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0304397524001051",
acknowledgement = ack-nhfb,
articleno = "114490",
fjournal = "Theoretical Computer Science",
journal-URL = "http://www.sciencedirect.com/science/journal/03043975",
}
@Article{G:2024:IFW,
author = "Manohara G. and Kumbinarasaiah S.",
title = "An innovative {Fibonacci} wavelet collocation method
for the numerical approximation of {Emden--Fowler}
equations",
journal = j-APPL-NUM-MATH,
volume = "201",
number = "??",
pages = "347--369",
month = jul,
year = "2024",
CODEN = "ANMAEL",
DOI = "https://doi.org/10.1016/j.apnum.2024.03.016",
ISSN = "0168-9274 (print), 1873-5460 (electronic)",
ISSN-L = "0168-9274",
bibdate = "Thu May 2 14:47:08 MDT 2024",
bibsource = "https://www.math.utah.edu/pub/tex/bib/applnummath.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0168927424000771",
acknowledgement = ack-nhfb,
fjournal = "Applied Numerical Mathematics: Transactions of IMACS",
journal-URL = "http://www.sciencedirect.com/science/journal/01689274",
}
@Article{Garcia:2024:SSP,
author = "Jonathan Garc{\'\i}a and Carlos A. G{\'o}mez and
Florian Luca",
title = "Solving {Skolem}'s problem for the $k$-generalized
{Fibonacci} sequence with negative indices",
journal = j-J-NUMBER-THEORY,
volume = "257",
number = "??",
pages = "273--299",
month = apr,
year = "2024",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/j.jnt.2023.10.017",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Wed Mar 20 10:08:33 MDT 2024",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jnumbertheory2020.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0022314X23002184",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
}
@Article{Grantham:2024:FPP,
author = "Jon Grantham and Andrew Granville",
title = "{Fibonacci} primes, primes of the form $ 2^n - k $ and
beyond",
journal = j-J-NUMBER-THEORY,
volume = "261",
number = "??",
pages = "190--219",
month = aug,
year = "2024",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/j.jnt.2024.02.002",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Fri May 10 07:14:17 MDT 2024",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jnumbertheory2020.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0022314X24000544",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
}
@Article{Kulikov:2024:ACE,
author = "V. L. Kulikov and E. F. Olekhova and V. I. Oseledets",
title = "On Absolute Continuity of the {Erd{\H{o}}s} Measure
for the {Golden Ratio}, {Tribonacci} Numbers, and
Second-Order {Markov} Chains",
journal = j-THEORY-PROBAB-APPL,
volume = "69",
number = "2",
pages = "265--280",
month = "????",
year = "2024",
CODEN = "TPRBAU",
DOI = "https://doi.org/10.1137/S0040585X97T991908",
ISSN = "0040-585X (print), 1095-7219 (electronic)",
ISSN-L = "0040-585X",
bibdate = "Sat Aug 24 12:14:08 MDT 2024",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/TVP/69/2;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/theoryprobabappl2020.bib",
URL = "https://epubs.siam.org/doi/10.1137/S0040585X97T991908",
acknowledgement = ack-nhfb,
fjournal = "Theory of Probability and its Applications",
journal-URL = "http://epubs.siam.org/tvp",
}
@Article{Manohara:2024:FWC,
author = "G. Manohara and S. Kumbinarasaiah",
title = "{Fibonacci} wavelet collocation method for the
numerical approximation of fractional order
{Brusselator} chemical model",
journal = j-J-MATH-CHEM,
volume = "62",
number = "10",
pages = "2651--2681",
month = nov,
year = "2024",
CODEN = "JMCHEG",
DOI = "https://doi.org/10.1007/s10910-023-01521-4",
ISSN = "0259-9791 (print), 1572-8897 (electronic)",
ISSN-L = "0259-9791",
bibdate = "Tue Oct 29 12:50:53 MDT 2024",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jmathchem.bib",
URL = "https://link.springer.com/article/10.1007/s10910-023-01521-4",
acknowledgement = ack-nhfb,
ajournal = "J. Math. Chem.",
fjournal = "Journal of Mathematical Chemistry",
journal-URL = "http://link.springer.com/journal/10910",
}
@Article{Pan:2024:EBG,
author = "Yingyin Pan and Jianghua Zhong and Dongdai Lin",
title = "The equivalence between {Galois} and {Fibonacci}
{NFSRs}",
journal = j-THEOR-COMP-SCI,
volume = "1003",
number = "??",
pages = "??--??",
day = "1",
month = jul,
year = "2024",
CODEN = "TCSCDI",
DOI = "https://doi.org/10.1016/j.tcs.2024.114620",
ISSN = "0304-3975 (print), 1879-2294 (electronic)",
ISSN-L = "0304-3975",
bibdate = "Tue May 28 06:40:04 MDT 2024",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/tcs2020.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0304397524002354",
acknowledgement = ack-nhfb,
articleno = "114620",
fjournal = "Theoretical Computer Science",
journal-URL = "http://www.sciencedirect.com/science/journal/03043975",
}
@Article{Pan:2024:GCJ,
author = "Yingyin Pan and Jianghua Zhong and Dongdai Lin",
title = "Generalized cycle joining method and its application
to the construction of long-period {Galois} {NFSRs}",
journal = j-DESIGNS-CODES-CRYPTOGR,
volume = "92",
number = "12",
pages = "4287--4311",
month = dec,
year = "2024",
CODEN = "DCCREC",
DOI = "https://doi.org/10.1007/s10623-024-01500-z",
ISSN = "0925-1022 (print), 1573-7586 (electronic)",
ISSN-L = "0925-1022",
bibdate = "Sat Nov 23 14:26:10 MST 2024",
bibsource = "https://www.math.utah.edu/pub/tex/bib/designscodescryptogr.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "https://link.springer.com/article/10.1007/s10623-024-01500-z",
acknowledgement = ack-nhfb,
ajournal = "Designs, Codes, and Cryptogr.",
fjournal = "Designs, Codes and Cryptography",
journal-URL = "http://link.springer.com/journal/10623",
keywords = "Fibonacci NFSR; Galois NFSR; Nonlinear feedback shift
registers (NFSRs)",
}
@Article{Singh:2024:IVF,
author = "Manpal Singh and S. Das and Rajeev",
title = "An innovative {Vieta--Fibonacci} wavelet collocation
method for the numerical solution of three-component
{Brusselator} reaction diffusion system of fractional
order",
journal = j-J-MATH-CHEM,
volume = "62",
number = "7",
pages = "1558--1594",
month = aug,
year = "2024",
CODEN = "JMCHEG",
DOI = "https://doi.org/10.1007/s10910-024-01621-9",
ISSN = "0259-9791 (print), 1572-8897 (electronic)",
ISSN-L = "0259-9791",
bibdate = "Mon Aug 5 16:44:15 MDT 2024",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/jmathchem.bib",
URL = "https://link.springer.com/article/10.1007/s10910-024-01621-9",
acknowledgement = ack-nhfb,
ajournal = "J. Math. Chem.",
fjournal = "Journal of Mathematical Chemistry",
journal-URL = "http://link.springer.com/journal/10910",
}
@Book{Graham:1989:CM,
author = "Ronald L. Graham and Donald E. Knuth and Oren
Patashnik",
title = "Concrete Mathematics",
publisher = pub-AW,
address = pub-AW:adr,
pages = "xiii + 625",
year = "1989",
ISBN = "0-201-14236-8",
ISBN-13 = "978-0-201-14236-5",
LCCN = "QA39.2 .G7331 1989",
MRclass = "00A05 (00-01 05-01 68-01 68Rxx)",
MRnumber = "91f:00001",
MRreviewer = "Volker Strehl",
bibdate = "Wed Dec 15 08:01:55 1993",
bibsource = "https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/hash.bib;
https://www.math.utah.edu/pub/tex/bib/master.bib;
https://www.math.utah.edu/pub/tex/bib/sigact.bib;
https://www.math.utah.edu/pub/tex/bib/texbook2.bib",
acknowledgement = ack-nhfb,
keywords = "computer science -- mathematics; mathematics",
remark-1 = "Second printing, revised, January 1989. Third
printing, revised, May 1989. Fourth printing, revised,
January 1990. Fifth printing, revised, July 1990. Sixth
printing, revised, October 1990. Seventh printing,
revised, December 1991. Eighth printing, revised,
October 1992.",
remark-2 = "See translations
\cite{Knuth:1990:JTS,Knuth:1991:JTS,Knuth:1992:MD,Knuth:1992:xx,Knuth:1993:KS,Knuth:199x:xxc}.",
shorttableofcontents = "1: Recurrent Problems / 1 \\
2: Sums / 21 \\
3: Integer Functions / 67 \\
4: Number Theory / 102 \\
5: Binomial Coefficients / 153 \\
6: Special Numbers / 243 \\
7: Generating Functions / 306 \\
8: Discrete Probability / 367 \\
9: Asymptotics / 425 \\
A: Answers to Exercises / 483 \\
B: Bibliography / 578 \\
C: Credits for Exercises / 601 \\
Index / 606 \\
List of Tables / 624",
tableofcontents = "1: Recurrent Problems / 1 \\
1.1 The Tower of Hanoi / 1 \\
1.2 Lines in the Plane / 4 \\
1.3 The Josephus Problem / 8 \\
Exercises / 17 \\
2: Sums / 21 \\
2.1 Notation / 21 \\
2.2 Sums and Recurrences / 25 \\
2.3 Manipulation of Sums / 30 \\
2.4 Multiple Sums / 34 \\
2.5 General Methods / 41 \\
2.6 Finite and Infinite Calculus / 47 \\
2.7 Infinite Sums / 56 \\
Exercises / 62 \\
3: Integer Functions / 67 \\
3.1 Floors and Ceilings / 67 \\
3.2 Floor/Ceiling Applications / 70 \\
3.3 Floor/Ceiling Recurrences / 78 \\
3.4 `mod': The Binary Operation / 81 \\
3.5 Floor/Ceiling Sums / 86 \\
Exercises / 95 \\
4: Number Theory / 102 \\
4.1 Divisibility / 102 \\
4.2 Primes / 105 \\
4.3 Prime Examples / 107 \\
4.4 Factorial Factors / 111 \\
4.5 Relative Primality / 115 \\
4.6 `mod': The Congruence Relation / 123 \\
4.7 Independent Residues / 126 \\
4.8 Additional Applications / 129 \\
4.9 Phi and Mu / 133 \\
Exercises / 144 \\
5: Binomial Coefficients / 153 \\
5.1 Basic Identities / 153 \\
5.2 Basic Practice / 172 \\
5.3 Tricks of the Trade / 186 \\
5.4 Generating Functions / 196 \\
5.5 Hypergeometric Functions / 204 \\
5.6 Hypergeometric Transformations / 216 \\
5.7 Partial Hypergeometric Sums / 223 \\
Exercises / 230 \\
6: Special Numbers / 243 \\
6.1 Stirling Numbers / 243 \\
6.2 Eulerian Numbers / 253 \\
6.3 Harmonic Numbers / 258 \\
6.4 Harmonic Summation / 265 \\
6.5 Bernoulli Numbers / 269 \\
6.6 Fibonacci Numbers / 276 \\
6.7 Continuants / 287 \\
Exercises / 295 \\
7: Generating Functions / 306 \\
7.1 Domino Theory and Change / 306 \\
7.2 Basic Maneuvers / 317 \\
7.3 Solving Recurrences / 323 \\
7.4 Special Generating Functions / 336 \\
7.5 Convolutions / 339 \\
7.6 Exponential Generating Functions / 350 \\
7.7 Dirichlet Generating Functions / 356 \\
Exercises / 357 \\
8: Discrete Probability / 367 \\
8.1 Definitions / 367 \\
8.2 Mean and Variance / 373 \\
8.3 Probability Generating Functions / 380 \\
8.4 Flipping Coins / 387 \\
8.5 Hashing / 397 \\
Exercises / 413 \\
9: Asymptotics / 425 \\
9.1 A Hierarchy / 426 \\
9.2 0 Notation / 429 \\
9.3 0 Manipulation / 436 \\
9.4 Two Asymptotic Tricks / 449 \\
9.5 Euler's Summation Formula / 455 \\
9.6 Final Summations / 462 \\
Exercises / 475 \\
A: Answers to Exercises / 483 \\
B: Bibliography / 578 \\
C: Credits for Exercises / 601 \\
Index / 606 \\
List of Tables / 624",
}
@Book{Graham:1994:CM,
author = "Ronald L. Graham and Donald E. Knuth and Oren
Patashnik",
title = "Concrete Mathematics",
publisher = pub-AW,
address = pub-AW:adr,
edition = "Second",
pages = "xiii + 657",
year = "1994",
ISBN = "0-201-55802-5",
ISBN-13 = "978-0-201-55802-9",
LCCN = "QA39.2 .G733 1994",
MRclass = "68-01 (00-01 00A05 05-01 68Rxx)",
MRnumber = "97d:68003",
bibdate = "Wed Jul 6 14:39:36 1994",
bibsource = "https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
https://www.math.utah.edu/pub/bibnet/subjects/han-wri-mat-sci-2ed.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/master.bib;
https://www.math.utah.edu/pub/tex/bib/texbook2.bib",
acknowledgement = ack-nhfb,
keywords = "computer science -- mathematics; mathematics",
shorttableofcontents = "1: Recurrent Problems / 1 \\
2: Sums / 21 \\
3: Integer Functions / 67 \\
4: Number Theory / 102 \\
5: Binomial Coefficients / 153 \\
6: Special Numbers / 257 \\
7: Generating Functions / 320 \\
8: Discrete Probability / 381 \\
9: Asymptotics / 439 \\
A: Answers to Exercises / 497 \\
B: Bibliography / 604 \\
C: Credits for Exercises / 632 \\
Index / 637 \\
List of Tables / 657",
tableofcontents = "1: Recurrent Problems / 1 \\
1.1 The Tower of Hanoi / 1 \\
1.2 Lines in the Plane / 4 \\
1.3 The Josephus Problem / 8 \\
Exercises / 17 \\
2: Sums / 21 \\
2.1 Notation / 21 \\
2.2 Sums and Recurrences / 25 \\
2.3 Manipulation of Sums / 30 \\
2.4 Multiple Sums / 34 \\
2.5 General Methods / 41 \\
2.6 Finite and Infinite Calculus / 47 \\
2.7 Infinite Sums / 56 \\
Exercises / 62 \\
3: Integer Functions / 67 \\
3.1 Floors and Ceilings / 67 \\
3.2 Floor/Ceiling Applications / 70 \\
3.3 Floor/Ceiling Recurrences / 78 \\
3.4 `mod': The Binary Operation / 81 \\
3.5 Floor/Ceiling Sums / 86 \\
Exercises / 95 \\
4: Number Theory / 102 \\
4.1 Divisibility / 102 \\
4.2 Primes / 105 \\
4.3 Prime Examples / 107 \\
4.4 Factorial Factors / 111 \\
4.5 Relative Primality / 115 \\
4.6 `mod': The Congruence Relation / 123 \\
4.7 Independent Residues / 126 \\
4.8 Additional Applications / 129 \\
4.9 Phi and Mu / 133 \\
Exercises / 144 \\
5: Binomial Coefficients / 153 \\
5.1 Basic Identities / 153 \\
5.2 Basic Practice / 172 \\
5.3 Tricks of the Trade / 186 \\
5.4 Generating Functions / 196 \\
5.5 Hypergeometric Functions / 204 \\
5.6 Hypergeometric Transformations / 216 \\
5.7 Partial Hypergeometric Sums / 223 \\
5.8 Mechanical Summation / 229 \\
Exercises / 242 \\
6: Special Numbers / 257 \\
6.1 Stirling Numbers / 257 \\
6.2 Eulerian Numbers / 267 \\
6.3 Harmonic Numbers / 272 \\
6.4 Harmonic Summation / 279 \\
6.5 Bernoulli Numbers / 283 \\
6.6 Fibonacci Numbers / 290 \\
6.7 Continuants / 301 \\
Exercises / 309 \\
7: Generating Functions / 320 \\
7.1 Domino Theory and Change / 320 \\
7.2 Basic Maneuvers / 331 \\
7.3 Solving Recurrences / 337 \\
7.4 Special Generating Functions / 350 \\
7.5 Convolutions / 353 \\
7.6 Exponential Generating Functions / 364 \\
7.7 Dirichlet Generating Functions / 370 \\
Exercises / 371 \\
8: Discrete Probability / 381 \\
8.1 Definitions / 381 \\
8.2 Mean and Variance / 387 \\
8.3 Probability Generating Functions / 394 \\
8.4 Flipping Coins / 401 \\
8.5 Hashing / 411 \\
Exercises / 427 \\
9: Asymptotics / 439 \\
9.1 A Hierarchy / 440 \\
9.2 O Notation / 443 \\
9.3 O Manipulation / 450 \\
9.4 Two Asymptotic Tricks / 463 \\
9.5 Euler's Summation Formula / 469 \\
9.6 Final Summations / 476 \\
Exercises / 489 \\
A: Answers to Exercises / 497 \\
B: Bibliography / 604 \\
C: Credits for Exercises / 632 \\
Index / 637 \\
List of Tables / 657",
}
@Book{Knuth:1997:FA,
author = "Donald E. Knuth",
title = "Fundamental Algorithms",
volume = "1",
publisher = pub-AW,
address = pub-AW:adr,
edition = "Third",
pages = "xix + 650",
year = "1997",
ISBN = "0-201-89683-4",
ISBN-13 = "978-0-201-89683-1",
LCCN = "QA76.6 .K64 1997",
bibdate = "Fri Jul 11 15:41:22 1997",
bibsource = "https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/master.bib;
https://www.math.utah.edu/pub/tex/bib/texbook2.bib",
price = "US\$49.50",
series = "The Art of Computer Programming",
acknowledgement = ack-nhfb,
keywords = "computer algorithms; electronic digital computers --
programming",
tableofcontents = "1: Basic Concepts / 1 \\
1.1. Algorithms / 1 \\
1.2. Mathematical Preliminaries / 10 \\
1.2.1. Mathematical Induction / 11 \\
1.2.2. Numbers, Powers, and Logarithms / 21 \\
1.2.3. Sums and Products / 27 \\
1.2.4. Integer Functions and Elementary Number Theory /
39 \\
1.2.5. Permutations and Factorials / 45 \\
1.2.6. Binomial Coefficients / 52 \\
1.2.7. Harmonic Numbers / 75 \\
1.2.8. Fibonacci Numbers / 79 \\
1.2.9. Generating Functions / 87 \\
1.2.10. Analysis of an Algorithm / 96 \\
* 1.2.11. Asymptotic Representations / 107 \\
*1.2.11.1. The $O$-notation / 107 \\
*1.2.11.2. Euler's summation formula / 111 \\
*1.2.11.3. Some asymptotic calculations / 116 \\
1.3. MIX / 124 \\
1.3.1. Description of MIX / 124 \\
1.3.2. The MIX Assembly Language / 144 \\
1.3.3. Applications to Permutations / 164 \\
1.4. Some Fundamental Programming Techniques / 186 \\
1.4.1. Subroutines / 186 \\
1.4.2. Coroutines / 193 \\
1.4.3. Interpretive Routines / 200 \\
1.4.3.1. A MIX simulator / 202 \\
*1.4.3.2. Trace routines / 212 \\
1.4.4. Input and Output / 215 \\
1.4.5. History and Bibliography / 229 \\
2: Information Structures / 232 \\
2.1. Introduction / 232 \\
2.2. Linear Lists / 238 \\
2.2.1. Stacks, Queues, and Deques / 238 \\
2.2.2. Sequential Allocation / 244 \\
2.2.3. Linked Allocation / 254 \\
2.2.4. Circular Lists / 273 \\
2.2.5. Doubly Linked Lists / 280 \\
2.2.6. Arrays and Orthogonal Lists / 298 \\
2.3. Trees / 308 \\
2.3.1. Traversing Binary Trees / 318 \\
2.3.2. Binary Tree Representation of Trees / 334 \\
2.3.3. Other Representations of Trees / 348 \\
2.3.4. Basic Mathematical Properties of Trees / 362 \\
2.3.4.1. Free trees / 363 \\
2.3.4.2. Oriented trees / 372 \\
*2.3.4.3. The ``infinity lemma'' / 382 \\
*2.3.4.4. Enumeration of trees / 386 \\
2.3.4.5. Path length / 399 \\
*2.3.4.6. History and bibliography / 406 \\
2.3.5. Lists and Garbage Collection / 408 \\
2.4. Multilinked Structures / 424 \\
2.5. Dynamic Storage Allocation / 435 \\
2.6. History and Bibliography / 457 \\
Answers to Exercises / 466 \\
Appendix A: Tables of Numerical Quantities / 619 \\
1. Fundamental Constants (decimal) / 619 \\
2. Fundamental Constants (octal) / 620 \\
3. Harmonic Numbers, Bernoulli Numbers, Fibonacci
Numbers / 621 \\
Appendix B: Index to Notations / 623 \\
Appendix C: Index to Algorithms and Theorems / 628 \\
Index and Glossary / 630",
}
@Book{Stewart:2011:ML,
author = "Ian Stewart",
title = "Mathematics of life",
publisher = pub-BASIC-BOOKS,
address = pub-BASIC-BOOKS:adr,
pages = "viii + 358",
year = "2011",
ISBN = "0-465-02238-3, 0-465-02440-8 (e-book)",
ISBN-13 = "978-0-465-02238-0, 978-0-465-02440-7 (e-book)",
LCCN = "QH323.5 .S742 2011",
bibdate = "Sat Oct 14 16:16:53 MDT 2017",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
z3950.loc.gov:7090/Voyager",
URL = "http://www.loc.gov/catdir/enhancements/fy1115/2011925563-b.html;
http://www.loc.gov/catdir/enhancements/fy1115/2011925563-d.html",
acknowledgement = ack-nhfb,
author-dates = "1945--",
subject = "Biomathematics; Popular works; Biology",
tableofcontents = "Mathematics and biology \\
Creatures small and smaller \\
Long list of life \\
Florally finding Fibonacci \\
The origin of species \\
In a monastery garden \\
The molecule of life \\
The book of life \\
Taxonomist, taxonomist, spare that tree \\
Virus from the Fourth Dimension \\
Hidden wiring \\
Knots and folds \\
Spots and stripes \\
Lizard games \\
Networking opportunities \\
The paradox of the plankton \\
What is life? \\
Is anybody out there? \\
The Sixth Revolution",
}
@Book{Hillman:1966:ATP,
author = "Abraham P. Hillman and Gerald L. Alexanderson",
booktitle = "Algebra through problem solving",
title = "Algebra through problem solving",
publisher = pub-ALLYN-BACON,
address = pub-ALLYN-BACON:adr,
pages = "vii + 129",
year = "1966",
LCCN = "QA157 .H6",
bibdate = "Fri Oct 21 12:29:51 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
z3950.loc.gov:7090/Voyager",
series = "The Allyn and Bacon series: topics in contemporary
mathematics.",
acknowledgement = ack-nhfb,
subject = "Algebra; Problems, exercises, etc",
}
@Book{Jarden:1966:RSC,
author = "Dov Jarden",
booktitle = "Recurring sequences; a collection of papers",
title = "Recurring sequences; a collection of papers",
publisher = "Riveon Lematematika",
address = "Jerusalem, Israel",
edition = "Second",
pages = "137",
year = "1966",
LCCN = "QA246.5 .J3 1966",
bibdate = "Fri Oct 21 12:27:01 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
z3950.loc.gov:7090/Voyager",
note = "Includes numerous new factorizations of Fibonacci and
Lucas numbers, by John Brillhart.",
price = "Il18.00",
acknowledgement = ack-nhfb,
remark = "Original edition 1958.",
subject = "Recurrent sequences (Mathematics)",
}
@Book{Dudeney:1967:PCP,
author = "Henry Ernest Dudeney and Martin Gardner",
booktitle = "536 puzzles and curious problems",
title = "536 puzzles and curious problems",
publisher = "Scribner",
address = "New York, NY, USA",
pages = "xii + 488",
year = "1967",
LCCN = "????",
bibdate = "Fri Oct 21 14:18:25 MDT 2011",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
author-dates = "1857--1930",
subject = "Mathematical recreations; Puzzles",
}
@Book{Ore:1967:INT,
author = "{\O}ystein {\O}re",
booktitle = "Invitation to number theory",
title = "Invitation to number theory",
volume = "20",
publisher = pub-RANDOM-HOUSE,
address = pub-RANDOM-HOUSE:adr,
pages = "viii + 129",
year = "1967",
LCCN = "QA241 .O68",
bibdate = "Fri Oct 21 13:02:36 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
z3950.loc.gov:7090/Voyager",
series = "New mathematical library",
abstract = "Discusses and gives examples of various number
theories and how they function within the science of
mathematics.",
acknowledgement = ack-nhfb,
author-dates = "1899--1968",
subject = "Number theory",
}
@Book{Trigg:1967:MQ,
author = "Charles W. Trigg",
booktitle = "Mathematical quickies",
title = "Mathematical quickies",
publisher = pub-MCGRAW-HILL,
address = pub-MCGRAW-HILL:adr,
pages = "xi + 210",
year = "1967",
LCCN = "QA95 .T75",
bibdate = "Fri Oct 21 12:35:59 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
subject = "Mathematical recreations",
}
@Book{Gies:1969:LPN,
author = "Joseph Gies and Frances Gies",
booktitle = "{Leonard of Pisa} and the new mathematics of the
{Middle Ages}",
title = "{Leonard of Pisa} and the new mathematics of the
{Middle Ages}",
publisher = "Crowell",
address = "New York, NY, USA",
pages = "127",
year = "1969",
LCCN = "QA29.F5 G5",
bibdate = "Thu Jan 31 05:53:57 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
z3950.loc.gov:7090/Voyager",
note = "Illustrated by Enrico Arno.",
acknowledgement = ack-nhfb,
subject = "Fibonacci, Leonardo; Mathematics, Medieval",
subject-dates = "ca. 1170--ca. 1240",
}
@Book{Hoggatt:1969:FLN,
author = "Verner E. {Hoggatt, Jr.}",
booktitle = "{Fibonacci} and {Lucas} numbers",
title = "{Fibonacci} and {Lucas} numbers",
publisher = pub-HOUGHTON-MIFFLIN,
address = pub-HOUGHTON-MIFFLIN:adr,
pages = "iv + 92",
year = "1969",
LCCN = "QA241 .H57",
bibdate = "Fri Oct 21 12:51:20 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
z3950.loc.gov:7090/Voyager",
series = "Houghton Mifflin mathematics enrichment series;
Houghton Mifflin modern mathematics series.",
acknowledgement = ack-nhfb,
subject = "Fibonacci numbers; Lucas numbers",
}
@Book{Huntley:1970:DPS,
author = "H. E. Huntley",
booktitle = "The divine proportion: a study in mathematical
beauty",
title = "The divine proportion: a study in mathematical
beauty",
publisher = pub-DOVER,
address = pub-DOVER:adr,
pages = "xii + 186",
year = "1970",
ISBN = "0-486-22254-3",
ISBN-13 = "978-0-486-22254-7",
LCCN = "QA466 .H85 1970",
bibdate = "Fri Apr 27 07:57:58 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
z3950.loc.gov:7090/Voyager",
URL = "http://www.loc.gov/catdir/description/dover032/70093195.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
remark = "On page 154, the author states: ``If a beam of light
is incident upon two sheets of glass in contact, part
of the light will be transmitted, part absorbed, and
the remainder reflected. There will be multiple
reflections. The number of different paths followed
within the glass before the ray emerges depends on the
number of reflections which the ray undergoes. The
number of emergent rays is a {\em Fibonacci number}.''
A full-page figure on page 155 shows the reflected rays
in the familiar sequence $ 1, 2, 3, 5, \ldots $.",
subject = "Golden section",
}
@Book{Li:1971:CGD,
author = "H. Y. Li and Sibley S. Morrill",
booktitle = "{I ching} games of {Duke Tan of Chou} and {C. C.
T'ung}",
title = "{I ching} games of {Duke Tan of Chou} and {C. C.
T'ung}",
publisher = "Cadleon Press",
address = "San Francisco, CA, USA",
pages = "138",
year = "1971",
ISBN = "0-9600310-2-2",
ISBN-13 = "978-0-9600310-2-3",
LCCN = "GV1507.T3 L5",
bibdate = "Fri Oct 21 13:10:39 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
remark = "Seven green and 15 white puzzle pieces in pocket.",
subject = "Tangrams",
}
@Book{Shaw:1972:MML,
author = "Li-kung Shaw",
booktitle = "A mathematical model of life and living",
title = "A mathematical model of life and living",
publisher = "Libreria Inglesa",
address = "Buenos Aires, Argentina",
edition = "Second",
pages = "????",
year = "1972\slash 1974",
LCCN = "BD431 .S545 1972",
bibdate = "Fri Oct 21 13:07:39 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
remark = "Vol. 3 lacks edition statement. First edition
published under title: A mathematical model of human
life.",
subject = "Life; Human behavior; Mathematical models;
Communities",
tableofcontents = "vol. 1. Basic theories \\
vol. 2. Applications \\
vol 3. Theory of plants and other essays",
}
@Proceedings{Bauer:1979:PCI,
editor = "Friedrich Ludwig Bauer and M. Broy",
booktitle = "{Program construction: international summer school}",
title = "{Program construction: international summer school}",
volume = "69",
publisher = pub-SV,
address = pub-SV:adr,
pages = "vii + 651",
year = "1979",
CODEN = "LNCSD9",
DOI = "????",
ISBN = "0-387-09251-X",
ISBN-13 = "978-0-387-09251-5",
ISSN = "0302-9743 (print), 1611-3349 (electronic)",
ISSN-L = "0302-9743",
LCCN = "QA76.6 .P75117",
bibdate = "Fri Apr 12 07:21:18 1996",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/dijkstra-edsger-w.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/lncs.bib",
note = "``The international summer school took place from July
26 to August 6, 1978, in Marktoberdorf \ldots{} and was
sponsored by the NATO Scientific Affairs Division under
the 1978 Advanced Study Institutes programme.''",
series = ser-LNCS,
URL = "http://link.springer-ny.com/link/service/series/0558/tocs/t0069.htm;
http://www.springerlink.com/content/978-0-387-09251-5;
http://www.springerlink.com/openurl.asp?genre=issue&issn=0302-9743&volume=69",
acknowledgement = ack-nhfb,
keywords = "electronic digital computers --- programming ---
addresses, essays, lectures",
}
@Proceedings{IEEE:1981:PSC,
editor = "{IEEE}",
key = "IEEE CA5 '81",
booktitle = "Proceedings: 5th Symposium on Computer Arithmetic: May
18--19, 1981, University of Michigan, Ann Arbor,
Michigan",
title = "Proceedings: 5th Symposium on Computer Arithmetic: May
18--19, 1981, University of Michigan, Ann Arbor,
Michigan",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "vii + 278",
year = "1981",
LCCN = "QA 76.6 S985t 1981",
bibdate = "Sat Feb 24 15:01:45 MST 1996",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "IEEE catalog number 81CH1630-C.",
acknowledgement = ack-nhfb,
keywords = "ARITH-5; Computer arithmetic and logic units ---
Congresses.; Electronic digital computers ---
Programming --- Congresses.; Floating-point arithmetic
Congresses.",
xxISBN = "(none)",
}
@Book{Gies:1983:LPN,
author = "Joseph Gies and Frances Gies and Enrico Arno",
booktitle = "{Leonard of Pisa} and the new mathematics of the
{Middle Ages}",
title = "{Leonard of Pisa} and the new mathematics of the
{Middle Ages}",
publisher = "New Classics Library",
address = "Gainesville, GA, USA",
pages = "127",
year = "1983",
ISBN = "0-317-57849-9",
ISBN-13 = "978-0-317-57849-2",
LCCN = "????",
bibdate = "Fri Oct 21 16:38:34 MDT 2011",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
subject = "Fibonacci, Leonardo; Mathematics; History",
subject-dates = "ca. 1170--ca. 1240",
}
@Proceedings{IEEE:1984:ASF,
editor = "{IEEE}",
booktitle = "25th annual Symposium on Foundations of Computer
Science, October 24--26, 1984, Singer Island, Florida",
title = "25th annual Symposium on Foundations of Computer
Science, October 24--26, 1984, Singer Island, Florida",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "xii + 518",
year = "1984",
CODEN = "ASFPDV",
ISBN = "0-8186-8591-3, 0-8186-0591-X (paperback),
0-8186-4591-1 (microfiche)",
ISBN-13 = "978-0-8186-8591-0, 978-0-8186-0591-8 (paperback),
978-0-8186-4591-4 (microfiche)",
ISSN = "0272-5428",
LCCN = "QA 76 S979 1984",
bibdate = "Thu Dec 3 07:11:18 MST 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "IEEE catalog no. 84CH2085-9.",
acknowledgement = ack-nhfb,
keywords = "electronic data processing --- congresses; electronic
digital computers --- programming --- congresses;
machine theory --- congresses",
}
@Book{Fibonacci:1987:BS,
author = "Leonardo Fibonacci and L. E. Sigler",
booktitle = "The book of squares",
title = "The book of squares",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "xx + 124",
year = "1987",
ISBN = "0-12-643130-2",
ISBN-13 = "978-0-12-643130-8",
LCCN = "QA32 .F4813 1987",
bibdate = "Fri Oct 21 12:37:31 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
z3950.loc.gov:7090/Voyager",
note = "Annotated translation into modern English of
\booktitle{Liber quadratorum}.",
URL = "http://www.loc.gov/catdir/description/els032/86017336.html;
http://www.loc.gov/catdir/toc/els031/86017336.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
author-dates = "ca. 1170--ca. 1240",
subject = "Mathematics; Early works to 1800; Number theory;
Fibonacci, Leonardo; Mathematics, Medieval; Sources",
subject-dates = "ca. 1170--ca. 1240",
}
@Proceedings{Gonnet:1989:PAI,
editor = "Gaston H. Gonnet",
booktitle = "{Proceedings of the ACM-SIGSAM 1989 International
Symposium on Symbolic and Algebraic Computation: ISSAC
'89 / July 17--19, 1989, Portland, Oregon}",
title = "{Proceedings of the ACM-SIGSAM 1989 International
Symposium on Symbolic and Algebraic Computation: ISSAC
'89 / July 17--19, 1989, Portland, Oregon}",
publisher = pub-ACM,
address = pub-ACM:adr,
pages = "399",
year = "1989",
ISBN = "0-89791-325-6",
ISBN-13 = "978-0-89791-325-6",
LCCN = "QA76.95.I59 1989",
bibdate = "Thu Sep 26 06:21:35 MDT 1996",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/issac.bib",
note = "ACM order number: 505890. English and French.",
price = "US\$29.00",
abstract = "The following topics were dealt with: differential
equations; linear difference equations; functional
equivalence; series solutions; factorization; Las Vegas
primality test; matrix algebra; rational mappings;
Knuth--Bendix procedure and Buchberger algorithm;
symbolic algebra; lockup tables; derivations
polynomials; Pad{\'e}--Hermite Forms; $p$-adic
approximations; nonlinear equations; defect;
Sturm--Habicht sequence; MINION; REDUCE; code
optimization; IRENA; MACSYMA; GENCRAY; AIPI; Fourier
series; functions; integration; education; stability;
normal forms; curves; geometry; root isolation;
triangle inequalities; parallel algorithms; rewriting
systems; and theorem proving.",
acknowledgement = ack-nhfb,
classification = "C1110 (Algebra); C1120 (Analysis); C4100 (Numerical
analysis); C4200 (Computer theory); C7310
(Mathematics)",
confdate = "17--19 July 1989",
conflocation = "Portland, OR, USA",
confsponsor = "ACM",
keywords = "AIPI; algebra --- data processing --- congresses;
Buchberger algorithm; Code optimization; computational
complexity --- congresses; Curves; Defect; Derivations;
Differential equations; Education; Factorization;
Fourier series; Functional equivalence; Functions;
GENCRAY; Geometry; Integration; IRENA; Knuth--Bendix
procedure; Las Vegas primality test; Linear difference
equations; Lockup tables; MACSYMA; Matrix algebra;
MINION; Nonlinear equations; Normal forms; P-adic
approximations; Pad{\'e}--Hermite Forms; Parallel
algorithms; Polynomials; Rational mappings; REDUCE;
Rewriting systems; Root isolation; Series solutions;
Stability; Sturm--Habicht sequence; Symbolic algebra;
Theorem proving, mathematics --- data processing ---
congresses; Triangle inequalities",
pubcountry = "USA",
thesaurus = "Algebra; Computation theory; Functions; Mathematics
computing; Numerical analysis; Series [mathematics];
Symbol manipulation",
}
@Book{Schaake:1989:NCP,
author = "A. G. (Albertus Georg) Schaake and J. C. Turner",
booktitle = "A new chapter for {Pythagorean} triples",
title = "A new chapter for {Pythagorean} triples",
publisher = "Dept. of Mathematics and Statistics, University of
Waikato",
address = "Hamilton, NZ",
pages = "155",
year = "1989",
ISBN = "0-908830-03-3",
ISBN-13 = "978-0-908830-03-9",
LCCN = "QA460.P8 S33 1989",
bibdate = "Fri Oct 21 13:13:49 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
subject = "Pythagorean theorem; Continued fractions",
}
@Book{Vajda:1989:FLN,
author = "S. Vajda",
booktitle = "{Fibonacci} and {Lucas} numbers, and the golden
section: theory and applications",
title = "{Fibonacci} and {Lucas} numbers, and the golden
section: theory and applications",
publisher = pub-ELLIS-HORWOOD,
address = pub-ELLIS-HORWOOD:adr,
pages = "189",
year = "1989",
ISBN = "0-7458-0715-1, 0-470-21508-9 (Halsted Press)",
ISBN-13 = "978-0-7458-0715-7, 978-0-470-21508-1 (Halsted Press)",
LCCN = "QA241 .V24 1989",
bibdate = "Fri Oct 21 12:51:20 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
z3950.loc.gov:7090/Voyager",
price = "US\$25.00",
series = "Ellis Horwood series in mathematics and its
applications",
acknowledgement = ack-nhfb,
subject = "Lucas numbers; Fibonacci numbers; Golden section",
}
@Proceedings{Bergum:1992:AFN,
editor = "Gerald E. Bergum and A. F. Horadam and Andreas N.
Philippou",
booktitle = "{Applications of Fibonacci numbers: proceedings of the
Fifth International Conference on Fibonacci numbers and
their applications, the University of St. Andrews,
Scotland, July 20--24, 1992}",
title = "{Applications of Fibonacci numbers: proceedings of the
Fifth International Conference on Fibonacci numbers and
their applications, the University of St. Andrews,
Scotland, July 20--24, 1992}",
publisher = pub-KLUWER,
address = pub-KLUWER:adr,
pages = "xxxiv + 625",
year = "1992",
ISBN = "0-7923-2491-9",
ISBN-13 = "978-0-7923-2491-1",
LCCN = "????",
bibdate = "Sat Feb 7 17:19:37 MST 2015",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/tex/bib/computstatdataanal1990.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
meetingname = "International Conference on Fibonacci Numbers and
Their Applications (5th: 1992: University of St.
Andrews, Scotland)",
}
@Proceedings{Burr:1992:UEN,
editor = "Stefan A. Burr",
booktitle = "{The unreasonable effectiveness of number theory:
American Mathematical Society short course, August
6--7, 1991, Orono, Maine}",
title = "{The unreasonable effectiveness of number theory:
American Mathematical Society short course, August
6--7, 1991, Orono, Maine}",
volume = "46",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "x + 156",
year = "1992",
ISBN = "0-8218-5501-8",
ISBN-13 = "978-0-8218-5501-0",
LCCN = "QA241 .U67 1992",
bibdate = "Thu Aug 05 06:26:07 2004",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/marsaglia-george.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
series = "Proceedings of symposia in applied mathematics",
acknowledgement = ack-nhfb,
bookpages = "x + 156",
tableofcontents = "The unreasonable effectiveness of number theory in
physics, communication and music / Manfred R. Schroeder
[1--20] \\
The reasonable and unreasonable effectiveness of number
theory in statistical mechanics / George E. Andrews
[21--34]\\
Number theory and dynamical systems / J. C. Lagarias
[35--72] \\
The mathematics of random number generators / George
Marsaglia [73--90] \\
Cyclotomy and cyclic codes / Vera Pless [91--104] \\
Number theory in computer graphics / M. Douglas McIlroy
[105--122]",
}
@Book{Luneburg:1992:LPL,
author = "Heinz L{\"u}neburg",
booktitle = "{Leonardi Pisani Liber Abbaci oder Lesevergn{\"u}gen
eines Mathematikers}. ({German}) [{Leonardi Pisani
Liber Abbaci} or a mathematician's reading pleasure]",
title = "{Leonardi Pisani Liber Abbaci oder Lesevergn{\"u}gen
eines Mathematikers}. ({German}) [{Leonardi Pisani
Liber Abbaci} or a mathematician's reading pleasure]",
publisher = "BI-Wiss.-Verl.",
address = "Mannheim, Germany",
pages = "340",
year = "1992",
ISBN = "3-411-15461-6",
ISBN-13 = "978-3-411-15461-6",
LCCN = "????",
bibdate = "Fri Oct 21 12:23:15 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
z3950.gbv.de:20011/gvk",
URL = "http://www.gbv.de/dms/hbz/toc/ht004250215.PDF;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
http://www.zentralblattmath.org/zmath/en/search/?an=0755.01015",
acknowledgement = ack-nhfb,
language = "German",
}
@Proceedings{Swain:1992:PWS,
editor = "James J. Swain",
booktitle = "{Proceedings of the Winter Simulation Conference.
Crystal Gateway Marriott Hotel, Arlington, Virginia,
December 13--16, 1992}",
title = "{Proceedings of the Winter Simulation Conference.
Crystal Gateway Marriott Hotel, Arlington, Virginia,
December 13--16, 1992}",
volume = "24",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "xxx + 1410",
year = "1992",
ISBN = "0-7803-0797-6 (softbound), 0-7803-0798-4 (casebound),
0-7803-0799-2 (microfiche)",
ISBN-13 = "978-0-7803-0797-1 (softbound), 978-0-7803-0798-8
(casebound), 978-0-7803-0799-5 (microfiche)",
LCCN = "T57.62 .W787 1992",
bibdate = "Mon Dec 26 10:27:47 MST 2011",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "IEEE catalog number 92CH3202-9.",
acknowledgement = ack-nhfb,
bookpages = "xxx + 1410",
}
@Proceedings{Bergum:1993:AFN,
editor = "Gerald E. Bergum and Andreas N. Philippou and A. F.
Horadam",
booktitle = "{Applications of Fibonacci numbers: proceedings of
``The Fifth International Conference of Fibonacci
Numbers and Their Applications'', The University of St.
Andrews, Scotland, July 20--July 24, 1992}",
title = "{Applications of Fibonacci numbers: proceedings of
``The Fifth International Conference of Fibonacci
Numbers and Their Applications'', The University of St.
Andrews, Scotland, July 20--July 24, 1992}",
publisher = pub-KLUWER,
address = pub-KLUWER:adr,
pages = "xxxiv + 625",
year = "1993",
ISBN = "0-7923-2491-9",
ISBN-13 = "978-0-7923-2491-1",
LCCN = "QA241 .I58 1992",
bibdate = "Thu Dec 1 11:08:47 MST 2011",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
meetingname = "International Conference on Fibonacci Numbers and
Their Applications (5th: 1992: University of St.
Andrews)",
subject = "Fibonacci numbers; Congresses; Number theory",
tableofcontents = "Contributions from cascaded combinations to the
naming of special permutations / Cecil O. Alford,
Daniel C. Fielder \\
Multidimensional golden means / Peter G. Anderson \\
A necessary and sufficient condition that rays of a
star configuration on Pascal's triangle cover its
center with respect to GCD and LCM / Shiro Ando,
Daihachiro Sato \\
An extension of an old classical Diophantine problem /
Joseph Arkin, David C. Arney, Frank R. Giordano, Rickey
A. Kolb and Gerald E. Bergum \\
Fourier analysis in finite nilpotent groups / Huseyin
Aydin, Geoff C. Smith \\
Wall and Vinson revisited / Huseyin Aydin, Ramszan
Dikici, Geoff C. Smith \\
Integer sided triangles whose ratio of altitude to base
is an integer / Gerald E. Bergum, Charles K. Cook \\
Designer decimals: fractions which contain second order
recursion sequences in their decimal expansions,
reading left to right or right to left / Marjorie
Bicknell-Johnson \\
Semigroup presentations and number sequences / Colin M.
Campbell, Edmund F. Robertson and Richard M. Thomas \\
Counting the number of solutions of congruences /
Umberto Cerruti \\
On the number overlapping success runs in a sequence of
independent Bernoulli trials / O. Chryssaphinou, S.
Papastavridis and T. Tsapelas \\
Embedding Fibonacci words into Fibonacci word patterns
/ Wai-Fong Chuan \\
On sums of cubes of Fibonacci numbers / Stuart Clary,
Paul D. Hemenway \\
Arithmetic sequences and second order recurrences /
Graeme L. Cohen, Calvin Long, Timothy Langtry and A. G.
Shannon \\
DFF and DFFz triangles and their mathematical
properties / Arnaldo D'Amico, Giuseppe Ferri and Marco
Faccio \\
On a class of iterative recurrence relations / Karl
Dilcher \\
Discrete operational calculi for two-sided sequences /
Ivan H. Dimovski, Virginia S. Kiryakova \\
Transformations of Fibonacci-Lucas identities / L. A.
G. Dresel \\
Fibonacci numbers and continued fraction expansions /
Michael Drmota \\
The Zeckendorf representation of $F_{kn} / F_n$ / Piero
Filipponi, Herta T. Freitag \\
Integration sequences of Fibonacci and Lucas
polynomials / Piero Filipponi, Alwyn F. Horadam \\
Fractal patterns derived from rational binomial
coefficients / Dan Flath, Rhodes Peele \\
Hausdorff dimension in Pascal's triangle / Dan Flath,
Rhodes Peele \\
Chaos, elliptic curves and all that / Matthew Fletcher,
Geoff C. Smith \\
Co-related sequences satisfying the general second
order recurrence relation / H. T. Freitag, G. M.
Phillips \\
Totient functions on the Euler number tree / H. Garcia,
J. C. Turner and A. G. Schaake \\
On the moments of the sum-of-digits function / P. J.
Grabner, P. Kirschenhofer, H. Prodinger and R. F. Tichy
\\
Problems on Fibonacci and B-adic tree representations
by regular k-gons / Heiko Harborth \\
Two-distance sets and the golden ratio / Heiko
Harborth, Lothar Piepmeyer \\
A Fibonacci problem classification scheme useful to
undergraduate pedagogy / Russel Jay Hendel \\
Zeckendorf representations of positive and negative
integers by Pell numbers / A. F. Horadam \\
Pell-type number generators of Pythagorean triples / A.
F. Horadam, A. G. Shannon \\
Balance morphology of a binary tree / Yasuichi Horibe
\\
N{\"o}rlund's number $B_n(?^n)$ / F. T. Howard \\
On Stirling-type pairs and extended
Gegenbauer-Humbert-Fibonacci polynomials / Leetsch C.
Hsu \\
A sequence arising from reflections in multiple glass
plates / Naotaka Imada \\
Diophantine representation of non-Fibonacci numbers /
James P. Jones \\
On some problems related to the Fibonacci group / Ann
Chi Kim \\
Congruence properties of Fibonacci numbers and
Fibonacci coefficients modulo P2 / William A. Kimball,
William A. Webb \\
Orderings of the set of all positive Fibonacci
sequences / Clark Kimberling \\
Some results concerning the reciprocal sum of prime
divisors of a Lucas number / Peter Kiss \\
Rational numbers with predictable Engel product
expansions / Arnold Knopfmacher \\
Two families of orthogonal polynomial systems related
to Fibonacci chains / Wolfdieter Lang \\
On the formation of higher order higher dimensional
line-sequential vector spaces / Jack Y. Lee \\
Generalized diagonal sums in Pascal's triangle /
Muhammad Ali McBeth, David Singmaster \\
Generalized Fibonacci pseudoprimes and probable primes
/ Winifried B. M{\"u}ller, Alan Oswald \\
A Cholesky decomposition in matching insulin profiles /
R. L. Ollerton, A. G. Shannon and D. R. Owens \\
A generalization of the Fibonacci sequence / S. P.
Pethe, C. N. Phadte \\
How to advance on a stairway by coin flippings / Helmut
Prodinger \\
Fibonacci sequence and its generalizations hidden in
algorithms for generating Morse codes / Shuichi Sato
\\
On matrix representations of generalized Fibonacci
numbers and their applications / Shuichi Sato \\
The elements of Enteger geometry / A. G. Schaake, J. C.
Turner \\
Generalized exponential and trigonometric functions /
John C. Sjoberg \\
Divisibility of terms in Lucas sequences by their
subscripts / Lawrence Somer \\
Upper Bounds for frequencies of elements in
second-order recurrences over a finite field / Lawrence
Somer \\
On the convergence of quotients of some recursive
sequences / Lea Terracini \\
Two distribution problems for polynomials / Robert R.
Tichy \\
Using matrix techniques to establish properties of
$k$-order linear recursive sequences / Marcellus E.
Waddill",
}
@Book{Anonymous:1995:FNS,
author = "Anonymous",
booktitle = "The {Fibonacci} Number Series",
title = "The {Fibonacci} Number Series",
volume = "302",
publisher = pub-PROJECT-GUTENBERG,
address = pub-PROJECT-GUTENBERG:adr,
year = "1995",
bibdate = "Sun Jan 24 10:00:27 MST 1999",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
series = ser-PROJECT-GUTENBERG,
URL = "ftp://uiarchive.cso.uiuc.edu/pub/etext/gutenberg/etext95/fibns10.zip",
acknowledgement = ack-nhfb # " and " # ack-st,
subject = "Mathematical constants.",
}
@Proceedings{Niederreiter:1995:MCQ,
editor = "Harald Niederreiter and Peter Jau-Shyong Shiue",
booktitle = "{Monte Carlo and quasi-Monte Carlo methods in
scientific computing: proceedings of a conference at
the University of Nevada, Las Vegas, Nevada, USA, June
23--25, 1994}",
title = "{Monte Carlo and quasi-Monte Carlo methods in
scientific computing: proceedings of a conference at
the University of Nevada, Las Vegas, Nevada, USA, June
23--25, 1994}",
volume = "106",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xiv + 372",
year = "1995",
ISBN = "0-387-94577-6 (softcover)",
ISBN-13 = "978-0-387-94577-4 (softcover)",
LCCN = "Q183.9 .M66 1995",
bibdate = "Tue Dec 20 15:35:55 MST 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
z3950.loc.gov:7090/Voyager",
series = "Lecture notes in statistics",
acknowledgement = ack-nhfb,
bookpages = "xiv + 372",
subject = "Science; Data processing; Congresses; Monte Carlo
method",
tableofcontents = "\\
Preface \\
Contributors \\
Conference Participants \\
Modified Monte Carlo Methods Using Quasi-Random
Sequences / Russel E. Caflisch, Bradley Moskowitz 1 \\
Simulated Annealing: Folklore, Facts, and Directions /
Bennett L. Fox 17 \\
Two Approaches to the Initial Transient Problem / Peter
W. Glynn 49 \\
Tables of (T,M,S)-Net and (T,S)-Sequence Parameters /
Gary L. Mullen, Arijit Mahalanabis, Harald Niederreiter
58 \\
New Developments in Uniform Pseudorandom Number and
Vector Generation / Harald Niederreiter 87 \\
Quasi-Monte Carlo Methods for Particle Transport
Problems / Jerome Spanier 121 \\
Non-Adaptive Coverings for Optimization of Gaussian
Random Fields / James M. Calvin 149 \\
The Method of Fundamental Solutions and the Quasi-Monte
Carlo Method for Poisson's Equation / C. S. Chen 158
\\
Implementation of a Distributed Pseudorandom Number
Generator / Jian Chen, Paula Whitlock 168 \\
On the Lattice Test for Inversive Congruential
Pseudorandom Numbers / Wun-Seng Chou, Harald
Niederreiter 186 \\
Discrepancy Lower Bound in Two Dimensions / Henri Faure
198 \\
Stable Estimators for Self-Adjusting Simulations /
Bennett L. Fox, George W. Heine 205 \\
A Comparison of Random and Quasirandom Points for
Multidimensional Quadrature / Fred J. Hickernell 213
\\
A Simulation Study of a Change-Point Poisson Process
Based on Two Well-known Test Statistics / Chih-Hsiang
Ho 228 \\
A Quasi-Monte Carlo Algorithm for the Global
Illumination Problem in the Radiosity Setting /
Alexander Keller 239 \\
Multivariate Walsh Series, Digital Nets and Quasi-Monte
Carlo Integration / Gerhard Larcher, Wolfgang Ch.
Schmid 252 \\
Parallel Pseudorandom Number Generation Using Additive
Lagged-Fibonacci Recursions / Michael Mascagni, M. L.
Robinson, Daniel V. Pryor, Steven A. Cuccaro 263 \\
Quasirandom Diffusion Monte Carlo / Bradley Moskowitz
278 \\
Randomly Permuted (t,m,s)-Nets and (t,s)-Sequences /
Art B. Owen 299 \\
Quantum Monte Carlo Simulation: Algorithm and
Applications / Tao Pang 318 \\
A Coupled Monte Carlo/Explicit Euler Method for the
Numerical Simulation of a Forest Fire Spreading Model /
Antonini Puppin Macedo, Antonio C. P. Brasil, Jr. 333
\\
Microcanonical Monte Carlo / O. Schapiro, D. H. E.
Gross, A. Ecker 346 \\
Computational Investigations of Low-Discrepancy Point
Sets II / Tony T. Warnock 354 \\
Estimates for the Volume of Points of (0,s)-Sequences
in Base [actual symbol not reproducible] / Yi-Jun Xiao
362",
}
@Proceedings{ACM:1996:FCP,
editor = "{ACM}",
booktitle = "FCRC '96: Conference proceedings of the 1996
International Conference on Supercomputing:
Philadelphia, Pennsylvania, {USA}, May 25--28, 1996",
title = "{FCRC} '96: Conference proceedings of the 1996
International Conference on Supercomputing:
Philadelphia, Pennsylvania, {USA}, May 25--28, 1996",
publisher = pub-ACM,
address = pub-ACM:adr,
pages = "xii + 406",
year = "1996",
ISBN = "0-89791-803-7",
ISBN-13 = "978-0-89791-803-9",
LCCN = "QA76.5 I61 1996",
bibdate = "Wed Mar 18 12:33:29 MST 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "ACM order number 415961.",
acknowledgement = ack-nhfb,
keywords = "Supercomputers --- Congresses.",
}
@Proceedings{Blau:1996:VPA,
editor = "Brian Blau and others",
booktitle = "Visual proceedings: the art and interdisciplinary
programs of SIGGRAPH 96: SIGGRAPH 96, August 4--9,
1996, New Orleans, LA",
title = "Visual proceedings: the art and interdisciplinary
programs of {SIGGRAPH} 96: {SIGGRAPH} 96, August 4--9,
1996, New Orleans, {LA}",
publisher = pub-ACM,
address = pub-ACM:adr,
pages = "238",
year = "1996",
ISBN = "0-89791-784-7",
ISBN-13 = "978-0-89791-784-1",
ISSN = "1069-5419",
LCCN = "T385 .S54 1996b",
bibdate = "Mon Oct 04 23:23:08 1999",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
series = j-COMP-GRAPHICS,
URL = "http://info.acm.org/pubs/contents/proceedings/graph/",
acknowledgement = ack-nhfb,
}
@Proceedings{Broy:1996:DPD,
editor = "M. Broy",
booktitle = "{Deductive program design: Proceedings of the NATO
Advanced Study Institute on Deductive Program Design,
held in Marktoberdorf, Germany, July 26--August 7,
1994}",
title = "{Deductive program design: Proceedings of the NATO
Advanced Study Institute on Deductive Program Design,
held in Marktoberdorf, Germany, July 26--August 7,
1994}",
volume = "152",
publisher = pub-SV,
address = pub-SV:adr,
pages = "viii + 467",
year = "1996",
ISBN = "3-540-60947-4 (hardcover)",
ISBN-13 = "978-3-540-60947-6 (hardcover)",
LCCN = "QA76.9.D5 D38 1996",
bibdate = "Tue Mar 17 10:33:47 MDT 2015",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/dijkstra-edsger-w.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
z3950.loc.gov:7090/Voyager",
series = "NATO ASI series. Series F, Computer and systems
sciences",
URL = "http://www.loc.gov/catdir/enhancements/fy0812/96010788-d.html",
acknowledgement = ack-nhfb,
subject = "Electronic data processing; Distributed processing;
Congresses; System design; Logic, Symbolic and
mathematical",
}
@Book{Conway:1996:BN,
author = "John H. Conway and Richard K. Guy",
booktitle = "The Book of Numbers",
title = "The Book of Numbers",
publisher = pub-COPERNICUS,
address = pub-COPERNICUS:adr,
pages = "ix + 310",
year = "1996",
ISBN = "0-387-97993-X",
ISBN-13 = "978-0-387-97993-9",
LCCN = "QA241 .C6897 1996",
bibdate = "Mon Dec 06 15:47:43 1999",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/master.bib",
price = "US\$35.00",
acknowledgement = ack-nhfb,
}
@Book{Dunlap:1997:GRF,
author = "R. A. Dunlap",
booktitle = "The golden ratio and {Fibonacci} numbers",
title = "The golden ratio and {Fibonacci} numbers",
publisher = pub-WORLD-SCI,
address = pub-WORLD-SCI:adr,
pages = "vii + 162",
year = "1997",
ISBN = "981-02-3264-0",
ISBN-13 = "978-981-02-3264-1",
LCCN = "QA466 .D86 1997",
bibdate = "Fri Oct 21 12:39:59 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
subject = "Golden section; Fibonacci numbers",
}
@Book{Stakhov:1999:IFC,
author = "Alexei Stakhov and Vinancio Massingue and Anna
Sluchenkova",
booktitle = "Introduction into {Fibonacci} coding and
cryptography",
title = "Introduction into {Fibonacci} coding and
cryptography",
publisher = "Osnova",
address = "Kharkov State University, Kharkov, Russia",
pages = "????",
year = "1999",
ISBN = "????",
ISBN-13 = "????",
LCCN = "????",
bibdate = "Thu Jun 17 07:10:53 2004",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.goldenmuseum.com/1502EMU_engl.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
remark = "The Web page notes that this was a limited edition; I
cannot find it in any online library catalogs.",
}
@Book{Koshy:2001:FLN,
author = "Thomas Koshy",
booktitle = "{Fibonacci} and {Lucas} numbers with applications",
title = "{Fibonacci} and {Lucas} numbers with applications",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "xvi + 652",
year = "2001",
ISBN = "0-471-39969-8 (hardcover)",
ISBN-13 = "978-0-471-39969-8 (hardcover)",
LCCN = "QA246.5 .K67 2001",
bibdate = "Fri Oct 21 12:41:10 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
z3950.loc.gov:7090/Voyager",
series = "Pure and applied mathematics: a Wiley-Interscience
series of texts, monographs, and tracts",
URL = "http://www.loc.gov/catdir/bios/wiley043/2001017506.html;
http://www.loc.gov/catdir/description/wiley036/2001017506.html;
http://www.loc.gov/catdir/toc/onix07/2001017506.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
remark = "``A Wiley-Interscience publication.''.",
subject = "Fibonacci numbers; Lucas numbers",
}
@Book{Hilton:2002:MVR,
author = "Peter Hilton and Derek Allan Holton and Jean
Pedersen",
booktitle = "Mathematical vistas: from a room with many windows",
title = "Mathematical vistas: from a room with many windows",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xiv + 335",
year = "2002",
ISBN = "0-387-95064-8",
ISBN-13 = "978-0-387-95064-8",
LCCN = "QA93 .H533 2002",
bibdate = "Fri Oct 21 12:51:20 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
z3950.loc.gov:7090/Voyager",
series = "Undergraduate texts in mathematics",
URL = "http://www.loc.gov/catdir/enhancements/fy0812/00056268-d.html;
http://www.loc.gov/catdir/toc/fy022/00056268.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
author-dates = "1923--2010",
subject = "Mathematics; Popular works",
tableofcontents = "Machine generated contents note: 1 Paradoxes in
Mathematics 1 \\
1.1 Introduction: Don't Believe Everything You See and
Hear 1 \\
1.2 Are Things Equal to the Same Thing Equal to One \\
Another? (Paradox 1) 4 \\
1.3 Is One Student Better Than Another? (Paradox 2)6
\\
1.4 Do Averages Measure Prowess? (Paradox 3) 8 \\
1.5 May Procedures Be Justified Exclusively by
Statistical \\
Tests? (Paradox 4) 11 \\
1.6 A Basic Misunderstanding --- and a Salutary Paradox
\\
About Sailors and Monkeys (Paradox 5) 14 \\
References 20 \\
2 Not the Last of Fermat 23 \\
2.1 Introduction: Fermat's Last Theorem (FLT) 23 \\
2.2 Something Completely Different 24 \\
2.3 Diophantus 26 \\
2.4 Enter Pierre de Fermat 27 \\
2.5 Flashback to Pythagoras 28 \\
2.6 Scribbles in Margins 32 \\
2.7 n = 433 \\
2.8 Euler Enters the Fray 36 \\
2.9 I Had to Solve It 40 \\
References 46 \\
3 Fibonacci and Lucas Numbers: Their Connections and
\\
Divisibility Properties 49 \\
3.1 Introduction: A Number Trick and Its Explanation 49
\\
3.2 A First Set of Results on the Fibonacci and Lucas
Indices 54 \\
3.3 On Odd Lucasian Numbers 56 \\
3.4 A Theorem on Least Common Multiples 62 \\
3.5 The Relation Between the Fibonacci and Lucas
Indices 63 \\
3.6 On Polynomial Identities Relating Fibonacci and \\
Lucas Numbers 64 \\
References 69 \\
4 Paper-Folding, Polyhedra-Building, and Number Theory
71 \\
4.1 Introduction: Forging the Link Between Geometric
\\
Practice and Mathematical Theory 71 \\
4.2 What Can Be Done Without Euclidean Tools 73 \\
4.3 Constructing All Quasi-Regular Polygons 93 \\
4.4 How to Build Some Polyhedra (Hands-On Activities)
95 \\
4.5 The General Quasi-Order Theorem 114 \\
References 124 \\
5 Are Four Colors Really Enough? 127 \\
5.1 Introduction: A Schoolboy Invention 127 \\
5.2 The Four-Color Problem 127 \\
5.3 Graphs 130 \\
5.4 Touring with Euler 136 \\
5.5 Why Graphs? 138 \\
5.6 Another Concept 142 \\
5.7 Planarity 144 \\
5.8 The End 148 \\
5.9 Coloring Edges 149 \\
5.10 A Beginning? 153 \\
References 157 \\
6 From Binomial to Trinomial Coefficients and Beyond
159 \\
6.1 Introduction and Warm-Up 159 \\
6.2 Analogues of the Generalized Star of David Theorems
177 \\
6.3 Extending the Pascal Tetrahedron and the \\
Pascal m-simplex 188 \\
6.4 Some Variants and Generalizations 190 \\
6.5 The Geometry of the 3-Dimensional Analogue of the
\\
Pascal Hexagon 193 \\
References 198 \\
7 Catalan Numbers 199 \\
7.1 Introduction: Three Ideas About the Same
Mathematics 199 \\
7.2 A Fourth Interpretation 208 \\
7.3 Catalan Numbers 215 \\
7.4 Extending the Binomial Coefficients 218 \\
7.5 Calculating Generalized Catalan Numbers 220 \\
7.6 Counting p-Good Paths 223 \\
7.7 A Fantasy- and the Awakening 227 \\
References 233 \\
8 Symmetry 235 \\
8.1 Introduction: A Really Big Idea 235 \\
8.2 Symmetry in Geometry 239 \\
8.3 Homologues 254 \\
8.4 The P 61ya Enumeration Theorem 257 \\
8.5 Even and Odd Permutations 263 \\
References 269 \\
9 Parties 271 \\
9.1 Introduction: Cliques and Anticliques 271 \\
9.2 Ramsey and Erd{\H{o}}s 275 \\
9.3 Further Progress 277 \\
9.4 N(r, r) 281 \\
9.5 Even More Ramsey 283 \\
9.6 Birthdays and Coincidences 285 \\
9.7 Come to the Dance 287 \\
9.8 Philip Hall 290 \\
9.9 Back to Graphs 292 \\
9.10 Epilogue 295 \\
References 297",
}
@Book{Sigler:2002:FLA,
author = "L. E. (Laurence E.) Sigler",
booktitle = "{Fibonacci}'s {Liber Abaci}: a Translation into Modern
{English} of {Leonardo Pisano}'s {Book of
Calculation}",
title = "{Fibonacci}'s {Liber Abaci}: a Translation into Modern
{English} of {Leonardo Pisano}'s {Book of
Calculation}",
publisher = pub-SV,
address = pub-SV:adr,
pages = "viii + 636",
year = "2002",
ISBN = "0-387-95419-8",
ISBN-13 = "978-0-387-95419-6",
LCCN = "QA32 .F4713 2002",
bibdate = "Tue Jun 10 11:44:26 2003",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "This historically-important book is the first English
translation of the original Latin edition of 1202, on
the 800th anniversary of the book that introduced to
Europe the Hindu numerals 0 through 9, the word zero,
the notion of an algorithm, and the subject of
algebra.",
price = "US\$99.00",
series = "Sources and studies in the history of mathematics and
physical sciences",
acknowledgement = ack-nhfb,
remark = "First English of the original Latin, 800 years later.
This book introduced to Europe the Hindu numerals 0
through 9, the word zero, the notion of an algorithm
(named after the Persian scholar Abu 'Abd Allah
Muhammad ibn Musa al-Khwarizmi (ca. 780--850)), and the
subject of algebra, which comes from the title of
al-Khwarizmi's book, {\em Hisab Al-Jabr wal Mugabalah}
({\em Book of Calculations, Restoration and
Reduction\/}).",
}
@Book{Benjamin:2003:PRC,
author = "Arthur Benjamin and Jennifer J. Quinn",
booktitle = "Proofs that really count: the art of combinatorial
proof",
title = "Proofs that really count: the art of combinatorial
proof",
volume = "27",
publisher = pub-MATH-ASSOC-AMER,
address = pub-MATH-ASSOC-AMER:adr,
pages = "xiv + 194",
year = "2003",
ISBN = "0-88385-333-7",
ISBN-13 = "978-0-88385-333-7",
LCCN = "QA164.8 .B46 2003",
bibdate = "Fri Oct 21 12:43:11 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
z3950.loc.gov:7090/Voyager",
series = "Dolciani mathematical expositions",
URL = "http://www.loc.gov/catdir/description/cam051/2003108524.html;
http://www.loc.gov/catdir/toc/cam051/2003108524.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
subject = "Combinatorial enumeration problems",
}
@Proceedings{Teuscher:2004:ATL,
editor = "Christof Teuscher",
booktitle = "{Alan Turing}: life and legacy of a great thinker",
title = "{Alan Turing}, life and legacy of a great thinker",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xxviii + 542",
year = "2004",
DOI = "https://doi.org/10.1007/978-3-662-05642-4",
ISBN = "3-540-20020-7 (hardcover), 3-642-05744-6 (print),
3-662-05642-9 (e-book)",
ISBN-13 = "978-3-540-20020-8 (hardcover), 978-3-642-05744-1
(print), 978-3-662-05642-4 (e-book)",
LCCN = "QA29.T8 A57 2004",
MRclass = "68-06 (01A60 68-03 68Q05)",
MRnumber = "2106942 (2007c:68001)",
MRreviewer = "Herbert J. Bernstein",
bibdate = "Fri Nov 29 15:45:42 MST 2013",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/t/turing-alan-mathison.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
z3950.loc.gov:7090/Voyager",
note = "Foreword by Douglas Hofstadter. Papers from the
Conference ``Turing Day: Computing Science 90 Years
from the Birth of Alan Mathison Turing'' held at the
{\'E}cole Polytechnique F{\'e}d{\'e}rale de Lausanne,
Lausanne, June 28, 2002.",
acknowledgement = ack-nhfb,
subject = "Turing, Alan Mathison; Mathematicians; Great Britain;
Biography",
subject-dates = "1912--1954",
}
@Book{Posamentier:2007:FFN,
author = "Alfred S. Posamentier and Ingmar Lehmann",
booktitle = "The Fabulous {Fibonacci} Numbers",
title = "The Fabulous {Fibonacci} Numbers",
publisher = "Prometheus Books",
address = "Amherst, NY, USA",
pages = "385",
year = "2007",
ISBN = "1-59102-475-7",
ISBN-13 = "978-1-59102-475-0",
LCCN = "QA241 .P665 2007",
bibdate = "Thu Nov 8 21:18:29 MST 2007",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/master.bib;
z3950.loc.gov:7090/Voyager",
URL = "http://www.loc.gov/catdir/toc/ecip073/2006035406.html",
acknowledgement = ack-nhfb,
subject = "Fibonacci numbers",
tableofcontents = "A history and introduction to the Fibonacci numbers
\\
The Fibonacci numbers in nature \\
The Fibonacci numbers and the Pascal triangle \\
The Fibonacci numbers and the golden ratio \\
The Fibonacci numbers and continued fractions \\
A potpourri of the Fibonacci number applications \\
The Fibonacci numbers found in art and architecture \\
The Fibonacci numbers and musical form \\
The famous Binet formula for finding a particular
Fibonacci number \\
The Fibonacci numbers and fractals",
}
@Proceedings{Storer:2007:DPD,
editor = "James A. (James Andrew) Storer and Martin Cohn",
key = "DCC 2007",
booktitle = "{DCC 2007: Proceedings: Data Compression Conference:
27--29 March 2007, Snowbird, Utah}",
title = "{DCC 2007: Proceedings: Data Compression Conference:
27--29 March 2007, Snowbird, Utah}",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "????",
year = "2007",
DOI = "https://doi.org/10.1109/DCC.2007.27",
ISBN = "0-7695-2791-4",
ISBN-13 = "978-0-7695-2791-8",
ISSN = "1068-0314",
LCCN = "????",
bibdate = "Tue Feb 5 05:59:46 MST 2013",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/tex/bib/datacompression.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
note = "IEEE Computer Society Order Number P2791.",
URL = "http://ieeexplore.ieee.org/servlet/opac?punumber=4148731",
acknowledgement = ack-nhfb,
series-URL = "http://ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1000177",
}
@Proceedings{IEEE:2008:PAI,
editor = "{IEEE}",
booktitle = "{Proceedings of the 49th Annual IEEE Symposium on
Foundations of Computer Science: October 25--23, 2008,
Philadelphia, Pennsylvania, USA}",
title = "{Proceedings of the 49th Annual IEEE Symposium on
Foundations of Computer Science: October 25--23, 2008,
Philadelphia, Pennsylvania, USA}",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "xvi + 835",
year = "2008",
ISBN = "0-7695-3436-8",
ISBN-13 = "978-0-7695-3436-7",
ISSN = "0272-5428",
LCCN = "QA76 .S95 2008",
bibdate = "Thu May 6 08:34:02 MDT 2010",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/focs2000.bib;
melvyl.cdlib.org:210/CDL90",
note = "IEEE Computer Society order number P3436.",
URL = "http://ieeexplore.ieee.org/servlet/opac?punumber=4690923",
acknowledgement = ack-nhfb,
meetingname = "Symposium on Foundations of Computer Science (49th:
2008: Philadelphia, Pa.)",
subject = "electronic data processing; congresses; machine
theory",
}
@Proceedings{Jeffrey:2008:PAM,
editor = "David Jeffrey",
booktitle = "{Proceedings of the 21st annual meeting of the
International Symposium on Symbolic Computation, ISSAC
2008, July 20--23, 2008, Hagenberg, Austria}",
title = "{Proceedings of the 21st annual meeting of the
International Symposium on Symbolic Computation, ISSAC
2008, July 20--23, 2008, Hagenberg, Austria}",
publisher = pub-ACM,
address = pub-ACM:adr,
pages = "x + 338",
year = "2008",
ISBN = "1-59593-904-0",
ISBN-13 = "978-1-59593-904-3",
LCCN = "????",
bibdate = "Fri Jun 20 08:53:37 2008",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/issac.bib",
acknowledgement = ack-nhfb,
}
@Proceedings{Storer:2008:DDC,
editor = "James A. (James Andrew) Storer and Michael W.
Marcellin",
key = "DCC 2008",
booktitle = "{DCC 2008: 2008 Data Compression Conference: March
25--27, 2008, Snowbird, Utah: proceedings}",
title = "{DCC 2008: 2008 Data Compression Conference: March
25--27, 2008, Snowbird, Utah: proceedings}",
publisher = pub-IEEE,
address = pub-IEEE:adr,
year = "2008",
DOI = "https://doi.org/10.1109/DCC.2008.112",
ISBN = "0-7695-3121-0",
ISBN-13 = "978-0-7695-3121-2",
ISSN = "1068-0314",
LCCN = "QA76.9.D33 D372 2008; QA76.9.D33 INTERNET",
bibdate = "Mon Jan 28 15:18:26 MST 2013",
bibsource = "clavis.ucalgary.ca:2200/UNICORN;
https://www.math.utah.edu/pub/tex/bib/datacompression.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4483271",
acknowledgement = ack-nhfb,
meetingname = "Data Compression Conference (2008: Snowbird, Utah)",
series-URL = "http://ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1000177",
subject = "Data compression (Computer science); Congresses",
}
@Book{Vajda:2008:FLN,
author = "S. Vajda",
booktitle = "{Fibonacci} and {Lucas} numbers, and the golden
section: theory and applications",
title = "{Fibonacci} and {Lucas} numbers, and the golden
section: theory and applications",
publisher = pub-DOVER,
address = pub-DOVER:adr,
edition = "{Dover}",
pages = "189",
year = "2008",
ISBN = "0-486-46276-5 (paperback)",
ISBN-13 = "978-0-486-46276-9 (paperback)",
LCCN = "QA241 .V24 2008",
bibdate = "Fri Oct 21 12:51:20 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
z3950.loc.gov:7090/Voyager",
URL = "http://www.loc.gov/catdir/enhancements/fy0739/2007031399-d.html;
http://www.loc.gov/catdir/toc/fy1001/2007031399.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
remark = "This Dover edition, first published in 2008, is an
unabridged republication of the work originally
published in 1989 by Ellis Horwood Limited, Chichester,
England \cite{Vajda:1989:FLN}.",
subject = "Lucas numbers; Fibonacci numbers; Golden section",
}
@Book{Koshy:2009:CNA,
author = "Thomas Koshy",
booktitle = "{Catalan} numbers with applications",
title = "{Catalan} numbers with applications",
publisher = pub-OXFORD,
address = pub-OXFORD:adr,
pages = "xiv + 422",
year = "2009",
ISBN = "0-19-533454-X (hardcover)",
ISBN-13 = "978-0-19-533454-8 (hardcover)",
LCCN = "QA431 .K726 2009",
bibdate = "Fri Oct 21 12:45:15 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
z3950.loc.gov:7090/Voyager",
URL = "http://www.loc.gov/catdir/toc/ecip0825/2008033798.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
subject = "Catalan numbers (Mathematics)",
}
@Book{Stakhov:2009:MHE,
author = "A. P. (Alekse{\'\i} Petrovich) Stakhov and Scott
Anthony Olsen",
booktitle = "The mathematics of harmony: from {Euclid} to
contemporary mathematics and computer science",
title = "The mathematics of harmony: from {Euclid} to
contemporary mathematics and computer science",
volume = "22",
publisher = pub-WORLD-SCI,
address = pub-WORLD-SCI:adr,
pages = "xlix + 694",
year = "2009",
ISBN = "981-277-582-X (hardcover)",
ISBN-13 = "978-981-277-582-5 (hardcover)",
LCCN = "QA246.5 .S73 2009",
bibdate = "Fri Oct 21 12:51:20 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
z3950.loc.gov:7090/Voyager",
note = "",
series = "K and E series on knots and everything",
acknowledgement = ack-nhfb,
subject = "Fibonacci numbers; Golden section; Mathematics;
History; Computer science",
tableofcontents = "Three ``key'' problems of mathematics on the stage
of its origin \\
Classical golden mean, Fibonacci numbers, and platonic
solids \\
The golden section \\
Fibonacci and Lucas numbers \\
Regular polyhedrons \\
Mathematics of harmony \\
Generalizations of Fibonacci numbers and the golden
mean \\
Hyperbolic Fibonacci and Lucas functions \\
Fibonacci and golden matrices \\
Application in computer science \\
Algorithmic measurement theory \\
Fibonacci computers \\
Codes of the golden proportion \\
Ternary mirror-symmetrical arithmetic \\
A new coding theory based on a matrix approach \\
Dirac's principle of mathematical beauty and the
mathematics of harmony: clarifying the origins and
development of mathematics \\
Appendix: Museum of harmony and the golden section",
}
@Book{Devlin:2011:MNF,
author = "Keith J. Devlin",
booktitle = "The man of numbers: {Fibonacci}'s arithmetic
revolution",
title = "The man of numbers: {Fibonacci}'s arithmetic
revolution",
publisher = pub-WALKER,
address = pub-WALKER:adr,
pages = "viii + 183 + 8",
year = "2011",
ISBN = "0-8027-7812-7 (hardcover)",
ISBN-13 = "978-0-8027-7812-3 (hardcover)",
LCCN = "QA29.F5 D48 2011",
bibdate = "Sat Jul 16 09:27:27 MDT 2011",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/master.bib",
acknowledgement = ack-nhfb,
subject = "Fibonacci, Leonardo; mathematicians; biography;
Fibonacci numbers; mathematics in nature",
subject-dates = "ca. 1170--ca. 1240",
tableofcontents = "Your days are numbered \\
A bridge of numbers \\
A child of Pisa \\
A mathematical journey \\
Sources \\
Liber abbaci \\
Fame \\
The Fibonacci aftermath \\
Whose revolution? \\
Fibonacci's legacy: in stone, parchment, and rabbits",
}
@Proceedings{ACM:2012:SPA,
editor = "{ACM}",
booktitle = "{STOC'12: Proceedings of the 2012 ACM International
Symposium on Theory of Computing: May 19--22, 2012, New
York, NY, USA}",
title = "{STOC'12: Proceedings of the 2012 ACM International
Symposium on Theory of Computing: May 19--22, 2012, New
York, NY, USA}",
publisher = pub-ACM,
address = pub-ACM:adr,
pages = "1292 (est.)",
year = "2012",
ISBN = "1-4503-1245-4",
ISBN-13 = "978-1-4503-1245-5",
LCCN = "????",
bibdate = "Thu Nov 08 19:12:21 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/stoc.bib;
https://www.math.utah.edu/pub/tex/bib/stoc2010.bib;
z3950.gbv.de:20011/gvk",
URL = "http://www.gbv.de/dms/tib-ub-hannover/63314455x.",
acknowledgement = ack-nhfb,
remark = "43rd annual STOC meeting.",
}
@Book{Gorroochurn:2012:CPP,
author = "Prakash Gorroochurn",
booktitle = "Classic Problems of Probability",
title = "Classic Problems of Probability",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "xi + 314",
year = "2012",
DOI = "https://doi.org/10.1002/9781118314340",
ISBN = "1-118-06325-2 (paperback), 1-118-31432-8,
1-118-31433-6 (e-book), 1-118-31434-4 (e-book),
1-118-31431-X (e-book)",
ISBN-13 = "978-1-118-06325-5 (paperback), 978-1-118-31432-6,
978-1-118-31433-3 (e-book), 978-1-118-31434-0 (e-book),
978-1-118-31431-9 (e-book)",
LCCN = "QA273.A4",
bibdate = "Mon Feb 25 05:50:42 2013",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/tex/bib/benfords-law.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
acknowledgement = ack-nhfb,
tableofcontents = "Front Matter / i?-xi \\
Chapter 1: Cardano and Games of Chance (1564) / 1--8
\\
Chapter 2: Galileo and a Discovery Concerning Dice
(1620) / 9--12 \\
Chapter 3: The Chevalier de M{\'e}r{\'e} Problem I: The
Problem of Dice (1654) / 13--19 \\
Chapter 4: The Chevalier de M{\'e}r{\'e} Problem II:
The Problem of Points (1654) / 20--38 \\
Chapter 5: Huygens and the Gambler's Ruin (1657) /
39--48 \\
Chapter 6: The Pepys--Newton Connection (1693) / 49--53
\\
Chapter 7: Rencontres with Montmort (1708) / 54--61 \\
Chapter 8: Jacob Bernoulli and his Golden Theorem
(1713) / 62--80 \\
Chapter 9: De Moivre's Problem (1730) / 81--88 \\
Chapter 10: De Moivre, Gauss, and the Normal Curve
(1730, 1809) / 89--107 \\
Chapter 11: Daniel Bernoulli and the St. Petersburg
Problem (1738) / 108--118 \\
Chapter 12: d'Alembert and the ?Croix ou Pile? Article
(1754) / 119--123 \\
Chapter 13: d'Alembert and the Gambler's Fallacy (1761)
/ 124--128 \\
Chapter 14: Bayes, Laplace, and Philosophies of
Probability (1764, 1774) / 129--155 \\
Chapter 15: Leibniz's Error (1768) / 156--158 \\
Chapter 16: The Buffon Needle Problem (1777) / 159--168
\\
Chapter 17: Bertrand's Ballot Problem (1887) / 169--174
\\
Chapter 18: Bertrand's Strange Three Boxes (1889) /
175--178 \\
Chapter 19: Bertrand's Chords (1889) / 179--185 \\
Chapter 20: Three Coins and a Puzzle from Galton (1894)
/ 186--188 \\
Chapter 21: Lewis Carroll's Pillow Problem No. 72
(1894) / 189--193 \\
Chapter 22: Borel and a Different Kind of Normality
(1909) / 194--198 \\
Chapter 23: Borel's Paradox and Kolmogorov's Axioms
(1909, 1933) / 199--207 \\
Chapter 24: Of Borel, Monkeys, and the New Creationism
(1913) / 208--214 \\
Chapter 25: Kraitchik's Neckties and Newcomb's Problem
(1930, 1960) / 215--223 \\
Chapter 26: Fisher and the Lady Tasting Tea (1935) /
224--232 \\
Chapter 27: Benford and the Peculiar Behavior of the
First Significant Digit (1938) / 233--239 \\
Chapter 28: Coinciding Birthdays (1939) / 240--246 \\
Chapter 29: L{\'e}vy and the Arc Sine Law (1939) /
247--252 \\
Chapter 30: Simpson's Paradox (1951) / 253--259 \\
Chapter 31: Gamow, Stern, and Elevators (1958) /
260--263 \\
Chapter 32: Monty Hall, Cars, and Goats (1975) /
264--270 \\
Chapter 33: Parrondo's Perplexing Paradox (1996) /
271--276 \\
Bibliography / 277--295 \\
Photo Credits / 296--298 \\
Index / 299--314",
}
