Fibonacci Quarterly
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Volume 51 Number 1 February 2013

CONTENTS

In Memoriam: Joanne Catan 2
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Lawrence Somer and Michal Křížek
Easy Criteria to Determine if a Prime Divides Certain Second-Order Recurrences
3
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Olivia Beckwith, Amanda Bower, Louis Gaudet, Rachel Insoft, Shiyu Li, Steven J. Miller, and Philip Tosteson
The Average Gap Distribution For Generalized Zeckendorf Decompositions
13
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Ovidiu D. Bagdasar and Peter J. Larcombe
On the Characterization of Periodic Complex Horadam Sequences
28
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Diego Marques
The Order of Appearance of the Product of Consecutive Lucas Numbers
38
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Constantinos Georghiou, Andreas N. Philippou, and Abolfazl Saghafi
On the Modes of the Poisson Distribution of Order k
44
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Kantaphon Kuhapatanakul and Rattanapol Wasutharat
Expressions for the Products of the Second Order Linear Recurrences
49
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Joseph B. Dence and Thomas P. Dence
On Inverse Relations for General Lucas Sequences of Polynomials
55
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Mark Shattuck
Combinatorial Proofs of Determinant Formulas for the Fibonacci and Lucas Polynomials
63
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A. Schinzel
On Divisibility by (ak-bk)/(a-b)
72
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Diego Marques, James A. Sellers, and Pavel Trojovský
On Divisibility Properties of Certain Fibonomial Coefficients by a Prime
78
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Elementary Problems and Solutions
(Edited by Russ Euler and Jawad Sadek)
84
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Advanced Problems and Solutions
(Edited by Florian Luca)
91
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