Fibonacci Quarterly
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Volume 45 Number 2 May 2007

CONTENTS

Florian Luca and Laszlo Szalay
Fibonacci numbers of the form pa ± pb + 1
98
     Abstract | Full text

Augustine O. Munagi
Combinations with successions and Fibonacci numbers
104
     Abstract | Full text

Ron Brown and Jonathan L. Merzel
The number of Ducci sequences with given period
115
     Abstract | Full text

Ronald Evans and Jonathan Pearlman
Nonexistence of odd perfect numbers of a certain form
122
     Abstract | Full text

Russell Jay Hendel
Factorizations of ∑j=in+i-1Faj-b
128
     Abstract | Full text

Guodong Liu
Some computational formulas for Nörlund numbers
133
     Abstract | Full text

Philip Matchett Wood
Bijective proofs for Fibonacci identities related to Zeckendorf's theorem
138
     Abstract | Full text

Ming Wu and Hao Pan
Sums of products of Bernoulli numbers of the second kind
146
     Abstract | Full text

Daniel Eloff, Blair K. Spearman and Kenneth S. Williams
A number field with infinitely many normal integral bases
151
     Abstract | Full text

Greg Brockman and Ryan J. Zerr
Asymptotic behavior of certain Ducci sequences
155
     Abstract | Full text

Rong Ma and Wenpeng Zhang
Several identities involving the Fibonacci numbers and Lucas numbers
164
     Abstract | Full text

Brian Curtin, Ena Salter and David Stone
Some formulae for the Fibonacci numbers
171
     Abstract | Full text

Elementary Problems and Solutions
(Edited by Russ Euler and Jawad Sadek)
181
     Full text

Advanced Problems and Solutions
(Edited by Florian Luca)
187
     Full text