Fibonacci Quarterly
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Volume 50 Number 1 February 2012

CONTENTS

Fibonacci Conference Announcement 2
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Referees 3
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Jason I. Brown, Karl Dilcher, and Dante V. Manna
Series Representations of Theta Functions in Terms of a Sequence of Polynomials
5
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Larry Ericksen and Peter G. Anderson
Patterns in Differences Between Rows in k-Zeckendorf Arrays
11
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Joseph S. Ozbolt
A New Sequence Derived From a Combination of Cubes with Volume Fn3
19
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Wenchang Chu and Nadia N. Li
Subsequences of Fibonacci and Lucas Polynomials with Geometric Subscripts
27
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Diego Marques
The Order of Appearance of Integers at Most One Away From Fibonacci Numbers
36
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Kantaphon Kuhapatanakul
Some Connections Between a Generalized Tribonacci Triangle and a Generalized Fibonacci Sequence
44
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Brian Curtin, Ena Salter Michael, and David Stone
Lucas' Hyperbolas for Fibonacci Vectors
51
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Michael A. Nyblom
Sophie Germain Primes and the Exceptional Values of the Equal-Sum-And-Product Problem
58
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N. Gauthier
Polynomial Forms for Alternating Sums of Products of Binomial-Catalan Numbers
62
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David Terr
Some Interesting Infinite Families of Primitive Pythagorean Triples
68
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Elementary Problems and Solutions
(Edited by Russ Euler and Jawad Sadek)
82
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Advanced Problems and Solutions
(Edited by Florian Luca)
89
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