Volume 51 Number 2 May 2013

CONTENTS

 John B. Cosgrave and Karl Dilcher Pairs of Reciprocal Quadratic Congruences Involving Primes 98
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 Florian Luca and Aynur Yalçiner L-Functions of Elliptic Curves and Fibonacci Numbers 112
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 A. Schinzel A Property of Lehmer Numbers 119
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 Michael D. Hirschhorn and Vasile Sinescu Elementary Algebra in Ramanujan’s Lost Notebook 123
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 Alexander Collins, Charles Dedrickson, and Hua Wang Binary Words, n-Color Compositions and Bisection of the Fibonacci Numbers 130
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 Christian Avart A Result About Cycles in Ducci Sequences 137
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 Romeo Meštrović A Lucas Type Theorem Modulo Prime Powers 142
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 John Estes, William Staton, and Bing Wei Independent Sets of Cardinality s of Maximal Outerplanar Graphs 147
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 Brandon Avila and Yongyi Chen On Moduli For Which the Lucas Numbers Contain a Complete Residue System 151
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 Emrah Kılıç and Helmut Prodinger Variants of the Filbert Matrix 153
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 Michael D. Hirschhorn The Asymptotic Behavior of ${\prod }_{k=0}^{n}\left(\begin{array}{c}n\\ k\end{array}\right)$ 163
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 Peter J. Larcombe and Ovidiu D. Bagdasar On a Result of Bunder Involving Horadam Sequences: A Proof and Generalization 174
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 Elementary Problems and Solutions (Edited by Russ Euler and Jawad Sadek) 177
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 Advanced Problems and Solutions (Edited by Florian Luca) 186
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