Fibonacci Quarterly
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Volume 22 Number 1 February 1984

CONTENTS

Cover Page

V. E. Hoggatt, Jr. and Marjorie Bicknell-Johnson
Additive Partition of the Positive Integers and Generalized Fibonacci Representations
2
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Gerald E. Bergum
Addenda to Geometry of a Generalized Simson's Formula
22
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Alain J. Phares
General Solution of a Fibonacci-Like Recursion Relation and Applications
29
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Eduard Fuchs
Partitions, Compositions and Cyclomatic Number of Function Lattices
42
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H. J. J. te Riele
Rules for Constructing Hyperperfect Numbers
50
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S. Pethe
On Lucas Polynomials and Some Summation Formulas for Chebychev Polynomial Sequences via Them
61
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Oreste W. Lombardi and Margaret A. Lombardi
The Golden Mean in the Solar System
70
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Kenji Nagasaka
Distribution Property of Recursive Sequences Defined by un+1 ≡ un + un-1 (Mod m)
76
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Fibonacci Research Conference Announcement 82
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Acknowledgments 83
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Edited by A. P. Hillman, Gloria C. Padilla, and Charles R. Wall
Elementary Problems and Solutions
84
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Edited by Raymond E. Whitney
Advanced Problems and Solutions
89
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Back Cover