Fibonacci Quarterly
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Volume 54 Number 1 February 2016

CONTENTS

Fibonacci Conference Announcement 2
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Clark Kimberling and László Szalay
t-sion of Two Polynomial Sequences and Factorization Properties
3
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Mahadi Ddamulira, Florian Luca, and Mihaja Rakotomalala
Fibonacci Numbers Which are Products of Two Pell Numbers
11
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R. S. Melham
On a Classical Fibonacci Identity of Aurifeuille
19
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David Treeby
Hidden Formulas in Fibonacci Tilings
23
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R. S. Melham
More New Algebraic Identities and the Fibonacci Summations Derived From Them
31
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Daniel López-Aguayo and Florian Luca
Sylvester’s Theorem and the Non-Integrality of a Certain Binomial Sum
44
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R. S. Melham
On a Generalized Pell Equation Studied by Euler and Sadek
49
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Jeremy F. Alm and Taylor Herald
A Note on Prime Fibonacci Sequences
55
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Amin Witno
Niven Repunits in General Bases
59
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Michael A. Brilleslyper, Nathan Wakefield, A. J. Wallerstein, and Bradley Warner
Comparing the Growth of the Prime Numbers to the Natural Numbers
65
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David Garth and Joseph Palmer
Self-Similar Sequences and Generalized Wythoff Arrays
72
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Tom Edgar
Extending Some Fibonacci-Lucas Relations
79
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Elementary Problems and Solutions
(Edited by Russ Euler and Jawad Sadek)
80
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Advanced Problems and Solutions
(Edited by Florian Luca)
87
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Book Review: The Magic of Math: Solving for x and Figuring out Why
(Reviewed by Peter G. Anderson)
94
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Mathematics Books for Sale 96
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