Fibonacci Quarterly
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Volume 15 Number 1 February 1977

CONTENTS

Cover Page

C. C. Yalavigi
Residues of Generalized Fibonacci Sequences
1
     Full text

V. E. Hoggatt, Jr. and Marjorie Bicknell-Johnson
Composites and Primes Among Powers of Fibonacci Numbers, Increased or Decreased by One
2
     Full text

V. E. Hoggatt, Jr. and Marjorie Bicknell-Johnson
Divisibility by Fibonacci and Lucas Squares
3
     Full text

John W. Jameson
Letter to the Editor
8
     Full text [Part 1] [Part 2]

J. Spencer
An Elementary Proof of Kronecker's Theorem
9
     Full text

Peter J. Slater
Fibonacci Numbers in the Count of Spanning Trees
11
     Full text

W. R. Utz
The Diophantine Equation (x1 + x2 + ... + xn )2 = x31 + x32 + ... + x3n
14
     Full text [Part 1] [Part 2]

Maurice Mignotte
An Application of W. Schmidt's Theorem Transcendental Numbers and Golden Number
15
     Full text

W. E. Greig
The Reciprocal Period Law
17
     Full text

A. K. Whitford
Binet's Formula Generalized
21
     Full text [Part 1] [Part 2] [Part 3]

David Lee Hilliker
On the Multinomial Theorem
22
     Full text

H. W. Gould
A Fibonacci Formula of Lucas and its Subsequent Manifestations and Rediscoveries
25
     Full text

V. E. Hoggatt, Jr. and Marjorie Bicknell-Johnson
Numerator Polynomial Coefficient Arrays for Catalan and Related Sequence Convolution Triangles
30
     Full text

Lawrence Somer
Fibonacci-Like Groups and Periods of Fibonacci-Like Sequences
35
     Full text

Douglas A. Fults
Solution of a Certain Recurrence Relation
41
     Full text [Part 1] [Part 2] [Part 3]

Krishnaswami Alladi and V. E. Hoggatt, Jr.
On Tribonacci Numbers and Related Functions
42
     Full text

W. E. Greig
Sums of Fibonacci Reciprocals
46
     Full text

L. Carlitz
Fibonacci Notes -- 5. Zero-One Sequences Again
49
     Full text

Robert Silber
On the N-Canonical Fibonacci Representations of Order N
57
     Full text [Part 1] [Part 2]

H. W. Gould
A Rearrangement of Series Based on a Partition of the Natural Numbers
67
     Full text

M. N. S. Swamy
A Formula for Σ1nFk(x)yn-k and its Generalization to r-bonacci Polynomials
73
     Full text

L. Carlitz
Some Sums Containing the Greatest Integer Function
78
     Full text

Robert Silber
Wythoff's Nim and Fibonacci Representations
85
     Full text

Edited by Raymond E. Whitney
Advanced Problems and Solutions
89
     Full text [Part 1] [Part 2]

Edited by A. P. Hillman
Elementary Problems and Solutions
93
     Full text

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