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Volume 58 Number 1 February 2020

CONTENTS

Fibonacci Conference Announcement 2
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Asim Patra and G. K. Panda
Positive Integer Solutions of Some Diophantine Equations Involving Lucas-Balancing Numbers
3
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Mahadi Ddamulira
On the x-Coordinates of Pell Equations That Are Products of Two Lucas Numbers
18
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F. Michel Dekking
Base Phi Representations and Golden Mean Beta-Expansions
38
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César Bautista-Ramos, Carlos Guillén-Galván, and Paulino Gómez-Salgado
Independence Polynomials of Fibonacci Trees Are Log-Concave
49
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Lawrence Somer and Michal Křížek
Iteration of Certain Arithmetical Functions of Particular Lucas Sequences
55
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Rigoberto Flórez and Robinson A. Higuita
Another Proof for Partial Strong Divisibility Property of Lucas-Type Polynomials
70
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João Lita da Silva
On Some Linear Recurrences
73
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Saralee Aursukaree, Tammatada Khemaratchatakumthorn, and Prapanpong Pongsriiam
Corrigendum to Generalizations of Hermite's Identity and Applications
80
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Elementary Problems and Solutions
(Edited by Harris Kwong)
81
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Advanced Problems and Solutions
(Edited by Florian Luca)
89
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Paul Bruckman Prize 96
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