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Volume 54 Number 4 November 2016

CONTENTS

Thanks and Welcome 290
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Jose Arnaldo B. Dris and Florian Luca
A Note on Odd Perfect Numbers
291
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R. S. Melham
New Identities Satisfied by Powers of Fibonacci and Lucas Numbers
296
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Ronald P. Nordgren
On Franklin and Complete Magic Square Matrices
304
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Zai-Qiao Bai and Steven R. Finch
Fibonacci and Lucas Representations
319
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David Treeby
Further Physical Derivations of Fibonacci Summations
327
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Alex Bramham and Martin Griffiths
Combinatorial Interpretations of Some Convolution Identities
335
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Aram Tangboonduangjit and Thotsaporn Thanatipanonda
Determinants of Rising Powers of Second Order Linear Recurrence Entries by Means of the Desnanot-Jacobi Identity
340
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Helmut Prodinger
Additional Results on Some Recent Infinite Sums
344
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Minerva Catral, Pari L. Ford, Pamela E. Harris, Steven J. Miller, and Dawn Nelson
Legal Decompositions Arising From Non-Positive Linear Recurrences
348
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Elementary Problems and Solutions
(Edited by Russ Euler and Jawad Sadek)
366
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Advanced Problems and Solutions
(Edited by Florian Luca)
373
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Paul Bruckman Prize 380
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Volume Index
381
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