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Volume 33 Number 3 June-July 1995

CONTENTS

Cover Page

R. S. Melham and A. G. Shannon
On Reciprocal Sums of Chebyshev Related Sequences
194
     Full text

M. A. Khan and Y. H. Harris Kwong
Some Invariant and Minimum Properties of Stirling Numbers of the Second Kind
203
     Full text

Anatoly S. Izotov
A Note on Sierpinski Numbers
206
     Full text

Clark Kimberling
Conjectures Concerning Irrational Numbers and Integers
208
     Full text

Peter Hilton, Jean Pedersen, and Luc Vrancken
On Certain Arithmetic Properties of Fibonacci and Lucas Numbers
211
     Full text

Roger Cook and David Sharpe
Sums of Arithmetic Progressions
218
     Full text

Seventh International Research Conference 221
     Full text

S. D. Balkin, D. S. Cousins, C. K. Orr and C. A. Reiter
Short Periods of Continued Fraction Convergents Modulo M: A Generalization of the Fibonacci Case
222
     Full text

T. Lengyel
The Order of the Fibonacci and Lucas Numbers
234
     Full text

Xiquan Shi
Concerning the Recursive Sequences An+k = ∑i=1kaiAain+i-1
240
     Full text

François Dubeau and Alain Pautasso
On Triangular Rectangular Numbers
244
     Full text

Krassimir T. Atanassov
Remark on a New Direction for a Generalization of the Fibonacci Sequence
249
     Full text

Piero Filipponi
Some Binomial Fiboancci Identities
251
     Full text

Lawrence Brenton and Mi-Kyung Joo
On the System of Congruences Πj≠inj ≡ 1 mod ni
258
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Alan R. Glasson
Remainder Formulas Involving Generalized Fibonacci and Lucas Polynomials
268
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Gwang-Yeon Lee and Sang-Gu Lee
A Note on Generalized Fibonacci Numbers
273
     Full text

Shiro Ando
On a System of Sequences Defined by a Recurrence Relation
279
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Sang Geun Hahn and Jun Kyo Kim
A Note on Multiplicative Partition of Bipartite Numbers
283
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