| Volume 52 |
Number 5
(Special Open Access Issue) |
December 2014 |
 |
Proceedings
of the 16th International Conference
on Fibonacci Numbers and Their Applications
Rochester Institute of Technology, Rochester, New York
July 20-27, 2014
|
Edited by Peter G. Anderson, Christian Ballot, and
William Webb
Marjorie Bicknell-Johnson
The Fibonacci Association: Historical Snapshots
| 1 |
Full text
Clark Kimberling, Problem Editor
Problem Proposals
| 5 |
Full text
Peter G. Anderson
More Properties of the Zeckendorf Array
| 15 |
Full text
Krassimir T. Atanassov, Daryl R. DeFord, and Anthony G. Shannon
Pulsated Fibonacci Recurrences
| 22 |
Full text
Arthur T. Benjamin and Elizabeth Reiland
Combinatorial Proofs of Fibonomial Identities
| 28 |
Full text
Andrew Best, Patrick Dynes, Xixi Edelsbrunner, Brian McDonald, Steven J. Miller, Kimsy Tor, Caroline Turnage-Butterbaugh, and Madeleine Weinstein
Benford Behavior of Zeckendorf Decompositions
| 35 |
Full text
Andrew Best, Patrick Dynes, Xixi Edelsbrunner, Brian McDonald, Steven J. Miller, Kimsy Tor, Caroline Turnage-Butterbaugh, and Madeleine Weinstein
Gaussian Behavior of the Number of Summands in Zeckendorf Decompositions
in Small Intervals
| 47 |
Full text
Daniel Birmajer, Juan B. Gil, and Michael D. Weiner
Convolutions of Tribonacci, Fuss-Catalan, and Motzkin Sequences
| 54 |
Full text
Jens-P. Bode and Heiko Harborth
Steinhaus Triangles with Generalized Pascal Addition
| 61 |
Full text
Minerva Catral, Pari Ford, Pamela Harris, Steven J. Miller, and Dawn Nelson
Generalizing Zeckendorf's Theorem: The Kentucky Sequence
| 68 |
Full text
Curtis Cooper
Algebraic Statements Similar to Those in Ramanujan's "Lost Notebook"
| 91 |
Full text
Daryl DeFord
Enumerating Distinct Chessboard Tilings
| 102 |
Full text
M. Cetin Firengiz and Naim Tuglu
On the q-Seidel Matrix
| 117 |
Full text
Russell Jay Hendel
A Cayley-Hamilton and Circulant Approach to Jump Sums
| 124 |
Full text
Clark Kimberling and Peter J. C. Moses
The Infinite Fibonacci Tree and Other Trees Generated by Rules
| 136 |
Full text
Takao Komatsu, Zuzana Masáková, and Edita Pelantová
Higher-Order Identities for Fibonacci Numbers
| 150 |
Full text
Florian Luca and Pantelimon Stănică
On Fibonacci Numbers which are Elliptic Korselt Numbers
| 164 |
Full text
Sam Northshield
Three Analogues of Stern's Diatomic Sequence
| 168 |
Full text
G. K. Panda and A. K. Panda
Balancing-like Sequences Associated with Integral Standard Deviations of
Consecutive Natural Numbers
| 187 |
Full text
Pantelimon Stănică
Normic Continued Fractions in Totally and Tamely Ramified Extensions
of Local Fields
| 193 |
Full text
William Webb and Nathan Hamlin
Compositions and Recurrences
| 201 |
Full text
Paul Thomas Young
Symmetries of Stirling Number Series
| 205 |
Full text
Yifan Zhang and George Grossman
Diophantine Triples and the Extendibility of {1, 2, 5}, {1, 5, 10}
| 212 |
Full text
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