Fibonacci Quarterly
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Volume 57 Number 1 February 2019

CONTENTS

Fibonacci Conference Announcement 2
     Full text (Open)

Sajed Haque and Jeffrey Shallit
A Class of Exponential Sequences with Shift-Invariant Discriminators
3
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Peter J. Larcombe and Eric J. Fennessey
A Non-Linear Recurrence Identity Class for Terms of a Generalized Linear Recurrence Sequence of Degree Three
10
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Roger C. Alperin
A-Cassini Polynomial Sequences and Applications
14
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Laurent Habsieger
Explicit Bounds for the Diophantine Equation A!B! = C!
21
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Arthur T. Benjamin, Joshua Crouch, and James A. Sellers
Unified Tiling Proofs of a Family of Fibonacci Identities
29
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Ryan Zielinski
Faulhaber and Bernoulli
32
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Atsanon Wadsanthat and Chatchawan Panraksa
Distribution of Cycle Lengths of a Quadratic Map Over Finite Fields of Characteristic 2
35
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Juan B. Gil and Aaron Worley
Generalized Metallic Means
45
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Lenny Jones and Lawrence Somer
Primefree Shifted Binary Linear Recurrence Sequences
51
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Sergiy Koshkin
Non-classical Linear Divisibility Sequences and Cyclotomic Polynomials
68
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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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