Fibonacci Quarterly
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Volume 49 Number 2 May 2011

CONTENTS

Fibonacci Conference Announcement 98
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Arthur T. Benjamin and Jacob N. Scott
Third and Fourth Binomial Coefficients
99
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Jean-Marc Deshouillers and Florian Luca
On the Distribution of the Euler Functions with Fibonacci Numbers
102
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Michael D. Hirschhorn
Factorization of Lens Sequences
110
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Murat Kolo\u{g}lu, Gene S. Kopp, Steven J. Miller, and Yinghui Wang
On the Number of Summands in Zeckendorf Decompositions
116
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Dhiraj Holden
Results on the 3x+1 and 3x+d Conjectures
131
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Paul K. Romano and Harry McLaughlin
On Non-Linear Recursive Sequences and Benford's Law
134
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Wenchang Chu and Nadia N. Li
Power Sums of Pell and Pell-Lucas Polynomials
139
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Vincent Russo and Loren Schwiebert
Beatty Sequences, Fibonacci Numbers, and the Golden Ratio
151
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Christian Avart
A Characterization of Converging Ducci Sequences Over Z2
155
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H. W. Gould and Jocelyn Quaintance
Inverting A Finite Series with Constant Coefficients
158
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Wayne L. McDaniel
An Easy Determination of the Fibonacci and Pell Squares
166
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Jishe Feng
Some New Remarks About the Dying Rabbit Problem
171
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Jeff Bergart
A Fibonacci "Whack'' Alongside the Head: My Journey into the World of Book Collecting
177
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Elementary Problems and Solutions
(Edited by Russ Euler and Jawad Sadek)
180
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Advanced Problems and Solutions
(Edited by Florian Luca)
187
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