Fibonacci Quarterly
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Volume 44 Number 1 February 2006

CONTENTS

Referees 2
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Feng-Zhen Zhao and Tianming Wang
Errata for "Some identities involving the powers of the generalized Fibonacci numbers"
3
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Lawrence Somer
Lucas sequences {Uk} for which U2p and Up are pseudoprimes for almost all primes p
7
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Sean Bradley, Patrick Brewer, and Christopher Brazfield
Generalized arithmetic triangles via convolution
13
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Michael D. Hirschhorn
Coupled second--order recurrences
20
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Michael D. Hirschhorn
Coupled third--order recurrences
26
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Haixing Zhao and Xueliang Li
On the Fibonacci numbers of trees
32
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Ching-Hua Chang and Chung-Wei Ha
On identities involving Bernoulli and Euler polynomials
39
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John M. Holte
Fractal dimension of arithmetical structures of generalized binomial coefficients modulo a prime
46
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Deidra A. Coleman, Christopher J. Dugan, Robert A. McEwen, Clifford A. Reiter, and Tran T. Tang
Periods of (q,r)-Fibonacci sequences and elliptic curves
59
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Neville Robbins
On sums of three squares
71
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Hei-Chi Chan
The asymptotic growth rate of random Fibonacci type sequences II
73
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Elementary Problems and Solutions
(Edited by Russ Euler and Jawad Sadek)
85
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Advanced Problems and Solutions
(Edited by Florian Luca)
91
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