Proceedings of the 20th International Conference on Fibonacci Numbers and Their Applications University of Sarajevo July 25 - 29, 2022

Editors-in-Chief: Steven J. Miller and Lejla Smajlović
Editors: Thomas Martinez, Zenan Šabanac, and Lamija Šćeta

Marjorie Bicknell-Johnson Conference Report

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List of Speakers and Talks

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Michael A. Allen and Kenneth Edwards Fence Tiling Derived Identities Involving the Metallonacci Numbers Squared or Cubed

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Benjamin Baily, Justine Dell, Irfan Durmić, Henry L. Fleischmann, Faye Jackson, Isaac Mijares, Steven J. Miller, Ethan Pesikoff, Luke Reifenberg, Alicia Smith Reina, and Yingzi Yang The Bergman Game

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Amine Belkhir, Elif Tan, and Mehmet Dağlı Some Combinatorial Aspects of Bi-periodic Incomplete Horadam Sequences

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Arthur T. Benjamin and Daniela Elizondo Counting on Hosoya's Triangle

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Hsin-Yun Ching, Rigoberto Flórez, F. Luca, Antara Mukherjee, and J. C. Saunders Primes and Composites in the Determinant Hosoya Triangle

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Hao Cui, Xiaoyu Cui, Sophia C. Davis, Irfan Durmić, Qingcheng Hu, Lisa Liu, Steven J. Miller, Fengping Ren, Alicia Smith Reina, and Eliel Sosis Sums of Reciprocals of Recurrence Relations

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Robert Dougherty-Bliss The Meta-C-Finite Ansatz

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Emily Evans and Russell Jay Hendel An Infinite 2-Dimensional Array Associated With Electric Circuits

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Russell Jay Hendel A System of Four Simultaneous Recursions: Generalization of the Ledin-Shannon-Ollerton Identity

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Brian Hopkins and Aram Tangboonduangjit Verifying and Generalizing Arndt's Compositions

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Sergey Kirgizov ℚ-bonacci Words and Numbers

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Sergey Kirgizov and José L. Ramírez Polyominoes and Graphs Built From Fibonacci Words

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Bahar Kuloğlu, Engin Özkan, and Anthony G. Shannon The Narayana Sequence in Finite Groups

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Thomas C. Martinez, Steven J. Miller, Clayton Mizgerd, and Chenyang Sun Generalizing Zeckendorf's Theorem to Homogeneous Linear Recurrences, I

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Thomas C. Martinez, Steven J. Miller, Clayton Mizgerd, Jack Murphy, and Chenyang Sun Generalizing Zeckendorf's Theorem to Homogeneous Linear Recurrences, II

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aBa Mbirika and Jürgen Spilker GCD of Sums of k Consecutive Squares of Generalized Fibonacci Numbers

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Steven J. Miller, Eliel Sosis, and Jingkai Ye Winning Strategies for Generalized Zeckendorf Games

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Steven J. Miller, Fei Peng, Tudor Popescu, and Nawapan Wattanawanichkul Walking to Infinity on the Fibonacci Sequence

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Sam Northshield Some Generalizations of a Formula of Reznick

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Prasanta Kumar Ray and Kisan Bhoi On the Diophantine equation Nn = xa ± xb + 1

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Raphael Schumacher The Self-Counting Flow

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Lejla Smajlović, Zenan Šabanac, and Lamija Šćeta On the Generalized Tribonacci Zeta Function

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Lejla Smajlović, Zenan Šabanac, and Lamija Šćeta On the Hurwitz-Type Zeta Function Associated to the Lucas Sequence

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Earth Sonrod, Kate Tanner, and Colin Leyner Some Properties of the Fibonacci-Pascal Triangle

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Pagdame Tiebekabe and Ismaïla Diouf On the Diophantine equation Fn1 + Fn2 + Fn3 + Fn4 + Fn5 = 2a

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Steven J. Miller (Editor) Problem Section

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Mathematics books for sale (as a fundraiser)

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