Fibonacci Quarterly
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Volume 41 Number 1 February 2003

CONTENTS

Cover Page

Referees 2
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Takao Komatsu
The Interval Associated with a Fibonacci Number
3
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Feng-Zhen Zhao and Tianming Wang
Some Identities Involving the Powers of the Generalized Fibonacci Numbers
7
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Nathan D. Cahill, John R. D'Errico, and John P. Spence
Complex Factorizations of the Fibonacci and Lucas Numbers
13
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K. T. Atanassov, R. Knott, K. Ozeki, A. G. Shannon, and L. Szalay
Inequalities among Related Pairs of Fibonacci Numbers
20
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Xinghua Wang and Leetsch C. Hsu
A Summation Formula for Power Series Using Eulerian Fractions
23
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Johann Cigler
q-Fibonacci Polynomials
31
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Paul Thomas Young
On Lacunary Recurrences
41
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Chizhong Zhou
Applications of Matrix Theory to Congruence Properties of kth-Order F-L Sequences
48
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R. S. Melham
On Some Reciprocal Sums of Brousseau: An Alternative Approach to That of Carlitz
59
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J. C. Turner
Some Fractals in Goldpoint Geometry
63
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Tamás Lengyel
Divisibility Properties by Multisection
72
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F. T. Howard
The Sum of the Squares of Two Generalized Fibonacci Numbers
80
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Edited by Russ Euler & Jawad Sadek
Elementary Problems and Solutions
85
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Edited by Raymond E. Whitney
Advanced Problems and Solutions
91
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