| Volume 58 |
Number 5
(Special Open Access Issue) |
December 2020 |
 |
Proceedings
of the 19th International Conference
on Fibonacci Numbers and Their Applications
Online Conference
July 21 - 23, 2020
 |
|
Editors-in-Chief: Steven J. Miller and Lejla Smajlović
Editors: Thomas Martinez, Zenan Šabanac, and Lamija
Šćeta
Marjorie Bicknell-Johnson
Conference Report
| 1 |
Full text
Santiago Alzate, Oscar Correa, and Rigoberto Flórez
Fibonacci Identities from Jordan Identities
| 2 |
Abstract |
Full text
Peter G. Anderson
The Fibonacci Word as a 2-adic Number and its Continued Fraction
| 21 |
Abstract |
Full text
Bob Bastasz
Lyndon Words of a Second-Order Recurrence
| 25 |
Abstract |
Full text
Arthur T. Benjamin, John Lentfer, and Thomas C. Martinez
Counting on Euler and Bernoulli Number Identities
| 30 |
Abstract |
Full text
Matthew Blair, Rigoberto Flórez, Antara Mukherjee, and José L.
Ramírez
Matrices in the Determinant Hosoya Triangle
| 34 |
Abstract |
Full text
Elżbieta Bołdyriew, Anna Cusenza, Linglong Dai, Pei Ding, Aidan Dunkelberg,
John Haviland, Kate Huffman, Dianhui Ke, Daniel Kleber, Jason kuretski, John
Lentfer, Tianhao Luo, Steven J. Miller, Clayton Mizgerd, Vashisth Tiwari,
Jingkai Ye, Yunhao Zhang, Xiaoyan Zheng, and Weiduo Zhu
Extending Zeckendorf's Theorem to a Non-constant Recurrence and the Zeckendorf
Game on this Non-constant Recurrence Relation
| 55 |
Abstract |
Full text
Elżbieta Bołdyriew, John Haviland, Phúc Lâm, John
Lentfer, Steven J. Miller, and Fernando Trejos Suárez
An Introduction to Completeness of Positive Linear Recurrence Sequences
| 77 |
Abstract |
Full text
Bruce M. Boman
Geometric Capitulum Patterns Based on Fibonacci p-Proportions
| 91 |
Abstract |
Full text
Zakariae Bouazzaoui
On Periods of Fibonacci Sequences and Real Quadratic p-rational Fields
| 103 |
Abstract |
Full text
Spiros D. Dafnis
On the Relation Between Fibonacci and Lucas Numbers
| 111 |
Abstract |
Full text
Daniel Duverney and Yohei Tachiya
Linear Independence of Infinite Products Generated by the Lucas Numbers
| 115 |
Abstract |
Full text
Kenneth Edwards and Michael A. Allen
A New Combinatorial Interpretation of the Fibonacci Numbers Cubed
| 128 |
Abstract |
Full text
Russell Jay Hendel
Recursive Triangles Appearing Embedded in Recursive Families
| 135 |
Abstract |
Full text
Burghard Herrmann
The Continued Fraction Pendulum
| 144 |
Abstract |
Full text
Ruoci Li, Xiaonan Li, Steven J. Miller, Clayton Mizgerd, Chenyang Sun, Dong Xia,
and Zhyi Zhou
Deterministic Zeckendorf Games
| 152 |
Abstract |
Full text
Augustine O. Munagi
An Identity for Inverse-Conjugate Compositions
| 161 |
Abstract |
Full text
Kouichi Nakagawa
A Triangle with Sides Lengths of a Rational Power of the Plastic Constant
| 166 |
Abstract |
Full text
Sam Northshield
Topographs; Conway and Otherwise
| 172 |
Abstract |
Full text
R. L. Ollerton and A. G. Shannon
A Note on Brousseau's Summation Problem
| 190 |
Abstract |
Full text
Genki Shibukawa
New Identities for Some Symmetric Polynomials, and a
Higher Order Analogue of the Fibonacci and Lucas Numbers
| 200 |
Abstract |
Full text
Anitha Srinivasan
The Markoff-Fibonacci Numbers
| 222 |
Abstract |
Full text
Kai Wang
Girard-Waring Type Formula for a Generalized Fibonacci Sequence
| 229 |
Abstract |
Full text
Steven J. Miller (Editor)
Problem Section
| 236 |
Full text
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