Volume 20 
Number 1 
February 1982 
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 and R. M. Sternheimer
On the Convergence of Iterated Exponentiation  III
 7 
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Steve Ligh and Pat Jones
Generalized Fermat and Mersenne Numbers
 12 
Full text
Helmut Prodinger and Robert F. Tichy
Fibonacci Numbers of Graphs
 16 
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Neville Robbins
Some Identities and Divisibility Properties of Linear SecondOrder Recursion Sequences
 21 
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L. C. Eggan, Peter C. Eggan, and J. L. Selfridge
Polygonal Products of Polygonal Numbers and the Pell Equation
 24 
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A. N. Philippou and 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 FourNumber Game
 33 
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Robert Guy
Sums of Consecutive Integers
 36 
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A. G. Shannon and 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 and A. G. Shannon
Combinatorial Aspects of an Infinite Pattern of Integers
 44 
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Jim Flanigan
OnePile Time and Size Dependent TakeAway Games
 51 
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P. V. Satyanarayana Murthy
FibonacciCayley 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 and 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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Full text
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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