Fibonacci Quarterly
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Volume 43 Number 3 August 2005

CONTENTS

B. Srinivasa Rao
Heptagonal Numbers in the Pell Sequence and Diophantine Equations
2x2 = y2(5y - 3)2 ± 2
194
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Gospava B. Djordjević
Some Properties of the Sequences Cn,3 = Cn-1,3 + Cn-3,3 + r
202
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Guodong Liu and Hui Luo
Some Identities Involving Bernoulli Numbers
208
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Prerna Bihani, Wendy Pusser Sheppard and Paul Thomas Young
p-Adic Interpolation of the Fibonacci Sequence Via Hypergeometric Functions
213
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Fred J. Rispoli
Fibonacci Polytopes and Their Applications
227
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Emanuele Munarini
Generalized q-Fibonacci Numbers
234
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Hei-Chi Chan
The Asymptotic Growth Rate of Random Fibonacci Type Sequences
243
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Sergey Kitaev and Toufik Mansour
Linear Recurrences and Chebyshev Polynomials
256
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Jeffrey Shallit
The Mathematics of Per Nørgård's Rhythmic Infinity System
262
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Sandi Klavžar and Petra Žigert
Fibonacci Cubes are the Resonance Graphs of Fibonaccenes
269
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Elementary Problems and Solutions
(Edited by Russ Euler and Jawad Sadek)
277
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Advanced Problems and Solutions
(Edited by Florian Luca)
283
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