Fibonacci Quarterly
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Volume 20 Number 1 February 1982

CONTENTS

Cover Page

L. C. Botten
On the Use of Fibonacci Recurrence Relations in the Design of Long Wavelength Filters and Interferometers
1
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Michael Creutz & R. M. Sternheimer
On the Convergence of Iterated Exponentiation -- III
7
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Steve Ligh & Pat Jones
Generalized Fermat and Mersenne Numbers
12
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Helmut Prodinger & Robert F. Tichy
Fibonacci Numbers of Graphs
16
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Neville Robbins
Some Identities and Divisibility Properties of Linear Second-Order Recursion Sequences
21
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L. C. Eggan, Peter C. Eggan & J. L. Selfridge
Polygonal Products of Polygonal Numbers and the Pell Equation
24
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A. N. Philippou & A. A. Muwafi
Waiting for the Kth Consecutive Success and the Fibonacci Sequence of Order K
28
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William A. Webb
The Length of the Four-Number Game
33
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Robert Guy
Sums of Consecutive Integers
36
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A. G. Shannon & A. F. Horadam
Concerning a Paper by L. G. Wilson
38
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K. Joseph Davis
A Generalization of the Dirichlet Product
41
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A. F. Horadam & A. G. Shannon
Combinatorial Aspects of an Infinite Pattern of Integers
44
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Jim Flanigan
One-Pile Time and Size Dependent Take-Away Games
51
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P. V. Satyanarayana Murthy
Fibonacci-Cayley Numbers
59
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P. V. Satyanarayana Murthy
Generalizations of Some Problems on Fibonacci Numbers
65
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Mark E. Kidwell & Clifford M. Hurvich
A Variant of the Fibonacci Polynomials Which Arises in the Gambler's Ruin Problem
66
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Dan Kalman
Generalized Fibonacci Numbers by Matrix Methods
73
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J. O. Shallit
Explicit Descriptions of Some Continued Fractions
77
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Graeme L. Cohen
The Nonexistence of Quasiperfect Numbers of Certain Forms
81
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Wayne L. McDaniel
Representations of Every Integer as the Difference of Powerful Numbers
85
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Acknowledgments 88
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Edited by A. P. Hillman
Elementary Problems and Solutions
89
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Edited by Raymond E. Whitney
Advanced Problems and Solutions
93
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