Fibonacci Quarterly
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Volume 52 Number 1 February 2014

CONTENTS

Fibonacci Conference Announcement 2
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Mohamed Taoufiq Damir, Bernadette Faye, Florian Luca, and Amadou Tall
Members of Lucas Sequences Whose Euler Function Is a Power of 2
3
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Michael D. Hirschhorn
The Number of Differenct Parts in the Partitions of n
10
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Neville Robbins
On Tribonacci Numbers and 3-Regular Compositions
16
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M. A. Khan and Harris Kwong
On Sums of Products of Fibonacci-Type Recurrences
20
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Esther M. García-Caballero, Samuel G. Moreno, and Michael P. Prophet
New Viète-Like Infinite Products of Nested Radicals with Fibonacci and Lucas Numbers
27
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Mihai Caragiu, Alexandru Zaharescu, and Mohammad Zaki
On Ducci Sequences with Primes
32
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H. Sedaghat
Zero-Avoiding Solutions of the Fibonacci Recurrence Modulo A Prime
39
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Kyle Fox, William B. Kinnersley, Daniel McDonald, Nathan Orlow, and Gregory J. Puleo
Spanning Paths in Fibonacci-Sum Graphs
46
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Takao Komatsu
Some Generalized Fibonacci Identities Including Powers and Binomial Coefficients
50
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Linus Lindroos, Andrew Sills, and Hua Wang
Odd Fibbinary Numbers and the Golden Ratio
61
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Burghard Herrmann
The Golden Sequence
66
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Ana Paula Chaves and Diego Marques
A Diophantine Equation Related to the Sum of Squares of Consecutive k-Generalized Fibonacci Numbers
70
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Peter J. Larcombe and Eric J. Fennessey
A Non-Linear Identity for A Particular Class of Polynomial Families
75
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Elementary Problems and Solutions
(Edited by Russ Euler and Jawad Sadek)
80
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Advanced Problems and Solutions
(Edited by Florian Luca)
87
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