Fibonacci Quarterly
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Volume 15 Number 2 April 1977

CONTENTS

Cover Page

H. C. Williams
Properties of Some Functions Similar to Lucas Functions
97
     Full text

Harvey J. Hinden
Phi Again: A Relationship Between the Golden Ratio and the Limit of a Ratio of Modified Bessel Functions
112
     Full text [Part 1] [Part 2]

Gerald E. Bergum and Verner E. Hoggatt, Jr.
Limits of Quotients for the Convolved Fibonacci Sequence and Related Sequences
113
     Full text

B. J. Cerimele
Summation of Multiparameter Harmonic Series
116
     Full text [Part 1] [Part 2] [Part 3] [Part 4]

V. E. Hoggatt, Jr. and Marjorie Bicknell-Johnson
Fibonacci Convolution Sequences
117
     Full text

E. A. Parberry
Two Recursion Relations for F(F(n))
122
     Full text [Part 1] [Part 2]

Donald B. Small
A Matrix Sequence Associated with a Continued Fraction Expansion of a Number
123
     Full text

Verner E. Hoggatt, Jr. and Marjorie Bicknell-Johnson
Generalized Lucas Sequences
131
     Full text

Stanley Bezuszka and Lou D'Angelo
An Application of Tribonacci Numbers
140
     Full text

Joseph Mandelson
Amateur Interests in the Fibonacci Series IV Calculation of Group Sizes of Residues of Moduli
145
     Full text

C. C. Yalavigi and H. V. Krishna
Periodic Lengths of the Generalized Fibonacci Sequence Modulo p
150
     Full text

Krishnaswami Alladi and A. G. Shannon
On a Property of Consecutive Farey-Fibonacci Fractions
153
     Full text

Doron Zeilberger
Sums of Products Involving Fibonacci Sequences
155
     Full text

Walter Gerdes
Convergent Generalized Fibonacci Sequences
156
     Full text

O. R. Ainsworth
On Generating Functions
161
     Full text

K. Joseph Davis
A Result in Analytic Number Theory
164
     Full text

V. E. Hoggatt, Jr.
Additive Partition I
166
     Full text

Barry Powell
Proof of a Special Case of Dirichlet's Theorem
167
     Full text

Ronald Evans
Diophantine Equations Involving the Greatest Integer Function
170
     Full text

Avery A. Morton
The Fibonacci Series and the Periodic Table of Elements
173
     Full text

W. E. Greig
On Fibonacci and Triangular Numbers
176
     Full text

Chi-Leung Lau
The Periodic Generating Sequence
178
     Full text

V. E. Hoggatt, Jr.
Additive Partition II
182
     Full text

Denton Hewgill
A Relationship Between Pascal's Triangle and Fermat's Numbers
183
     Full text

Edited by Raymond E. Whitney
Advanced Problems and Solutions
185
     Full text [Part 1] [Part 2]

Edited by A. P. Hillman
Elementary Problems and Solutions
189
     Full text

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