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Volume 57 Number 5
(Special Open Access Issue)
December 2019

Proceedings

of the 18th International Conference
on Fibonacci Numbers and Their Applications

Dalhousie University, Halifax, Nova Scotia, Canada
July 1-7, 2018

Edited by Karl Dilcher


CONTENTS

Marjorie Bicknell-Johnson
Conference Report
i
     Full text

Paul Baird-Smith, Alyssa Epstein, Kristen Flint, and Steven J. Miller
The Generalized Zeckendorf Game
1
     Abstract | Full text

Matthew Blair, Rigoberto Flórez, and Antara Mukherjee
Matrices in the Hosoya Triangle
15
     Abstract | Full text

Bruce M. Boman, Yihan Ye, Keith Decker, Christopher Raymond, and Gilberto Schleiniger
Geometric Branching Patterns based on p-Fibonacci Sequences: Self-similarity Across Different Degrees of Branching and Multiple Dimensions
29
     Abstract | Full text

Curtis Cooper
Some High Degree Generalized Fibonacci Identities
42
     Abstract | Full text

Kenneth Edwards and Michael A. Allen
A new combinatorial interpretation of the Fibonacci numbers squared
48
     Abstract | Full text

Russell Jay Hendel
Proof of the Tagiuri Histogram Conjecture
54
     Abstract | Full text

Burghard Herrmann
How Integer Sequences Find Their Way Into Areas Outside Pure Mathematics
67
     Abstract | Full text

Andreas M. Hinz and Paul K. Stockmeyer
Discovering Fibonacci Numbers, Fibonacci Words, and a Fibonacci Fractal in the Tower of Hanoi
72
     Abstract | Full text

Lin Jiu and Christophe Vignat
Connection Coefficients for Higher-order Bernoulli and Euler Polynomials: A Random Walk Approach
84
     Abstract | Full text

Clark Kimberling and Peter J. C. Moses
Linear Complementary Equations and Systems
96
     Abstract | Full text

Sam Northshield
Re3counting the Rationals
111
     Abstract | Full text

Prapanpong Pongsriiam
Fibonacci and Lucas Numbers which have Exactly Three Prime Factors and Some Unique Properties of F18 and L18
130
     Abstract | Full text

Thotsaporn "Aek" Thanatipanonda
Statistics of Domino Tilings on a Rectangular Board
145
     Abstract | Full text

Paul Thomas Young
Global series for zeta functions
154
     Abstract | Full text

Clark Kimberling (Editor)
Problem Section
170
     Full text