| Volume 55 |
Number 5
(Special Open Access Issue) |
December 2017 |
 |
Proceedings
of the 17th International Conference
on Fibonacci Numbers and Their Applications
Université de Caen-Normandie, Caen, France
June 26 to July 2, 2016
|
Edited by Christian Ballot, Peter G. Anderson, and Takao Komatsu
Jean-Paul Allouche
Some Extremalities of the Binary Fibonacci Sequence
| 1 |
Abstract |
Full text
Peter G. Anderson
Notes & Extensions for a Remarkable Continued Fraction
| 9 |
Abstract |
Full text
Christian Ballot, Clark Kimberling, and Peter J. C. Moses
Linear Recurrences Originating From Polynomial Trees
| 15 |
Abstract |
Full text
Arthur T. Benjamin and Joel Ornstein
A Bijective Proof of a Derangement Recurrence
| 28 |
Abstract |
Full text
Bruce M. Boman, Thien-Nam Dinh, Keith Decker, Brooks Emerick, Christopher Raymond, and Gilberto Schleiniger
Why do Fibonacci Numbers Appear in Patterns of Growth in Nature?
| 30 |
Abstract |
Full text
Christopher Brown
The Natural Logarithm of the Golden Section
| 42 |
Abstract |
Full text
Zvonko Cerin
On Candido Like Identities
| 45 |
Abstract |
Full text
Curtis Cooper, Steven Miller, Peter J. C. Moses, Murat Sahin, and Thotsaporn
Thanatipanonda
On Identities of Ruggles, Horadam, Howard, and Young
| 52 |
Abstract |
Full text
Paul Cull
What I Tell You K Times is True
| 66 |
Abstract |
Full text
Russell Jay Hendel
Proof and Generalization of the Cassini-Catalan-Tagiuri-Gould Identities
| 76 |
Abstract |
Full text
Virginia P. Johnson and Charles K. Cook
Areas of Triangles and Other Polygons with Vertices from VariousSequences
| 86 |
Abstract |
Full text
Tamás Lengyel
On the Rate of p-adic Convergence of Alternating Sums of Powers of Binomial
Coefficients
| 96 |
Abstract |
Full text
Ray Li and Steven J. Miller
A Collection of Central Limit Type Results in Generalized Zeckendorf
Decompositions
| 105 |
Abstract |
Full text
Frédéric Mansuy
Fibonacci words and the construction of a "Quasicrystalline"
Fivefold Structure
| 115 |
Abstract |
Full text
Steven J. Miller, Dawn Nelson, Zhao Pan, and Huanzhong Xu
On the Asymptotic Behavior of Variance of PLRS Decompositions
| 135 |
Abstract |
Full text
Augustine O. Munagi
Two Applications of the Bijection on Fibonacci Set Partitions
| 144 |
Abstract |
Full text
Claudio Pita Ruiz
Weighted Sums of Squares via Generalized Eulerian Polynomials
| 149 |
Abstract |
Full text
Gabriela N. Stănică and Pantelimon Stănică
Recurrences for Entries of Powers of Matrices
| 166 |
Abstract |
Full text
Paul K. Stockmeyer
An Exploration of Sequence A000975
| 174 |
Abstract |
Full text
Tamás Szakács
k-Order Linear Recursive Sequences and the Golden Ratio
| 186 |
Abstract |
Full text
Mohammed Taous
On the 2-Class Group of
Q(√ 5pFp ) Where Fp is a Prime Fibonacci Number
| 192 |
Abstract |
Full text
Paul Thomas Young
Congruences for Bernoulli-Lucas Sums
| 201 |
Abstract |
Full text
Clark Kimberling
Problem Proposals
| 213 |
Full text
|
