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Volume 36 Number 1 February 1998

CONTENTS

Cover Page

Referees 2
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Michael Drmota & Johannes Gajdosik
The Parity of the Sum-of-Digits-Function of Generalized Zeckendorf Representations
3
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Larry Ericksen
The Pascal-De Moivre Triangles
20
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E. R. Suryanarayan
The Brahmagupta Polynomials in Two Complex Variables
34
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James E. Voss
Divisibility Tests in N
43
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A. J. Reuben & A. G. Shannon
Ellipses, Cardioides, and Penrose Tiles
45
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Eighth International Conference Announcement 55
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Wayne L. McDaniel
Pronic Fibonacci Numbers
56
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Wayne L. McDaniel
Pronic Lucas Numbers
60
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Piero Filipponi
Combinatorial Expressions for Lucas Numbers
63
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Albert V. Carlin
A Layman's View of Music of the Spheres
65
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Piero Filipponi
A Note on Two Theorems of Melham and Shannon
66
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Zhizheng Zhang
A Class of Sequences and the Aitken Transformation
68
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Harald Riede
Asymptotic Estimation of a Sum of Digits
72
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Naotaka Imada
A Sparse Matrix and the Catalan Numbers
76
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Edited by Stanley Rabinowitz
Elementary Problems and Solutions
85
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Edited by Raymond E. Whitney
Advanced Problems and Solutions
91
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