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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 | Erratum (Original published version)
     Full text (Revised version)

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

Proceedings

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

Edited by Karl Dilcher

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