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Volume 12 Number 4 December 1974

CONTENTS

Cover Page

L. Carlitz
Fibonacci Notes -- 3: q-Fibonacci Numbers
317
     Full text

Warren Page
P.Q M-Cycles, a Generalized Number Problem
323
     Full text

Charles W. Trigg
The Apollonius Problem
326
     Full text

A. G. Shannon
Some Properties of a Fundamental Recursive Sequence of Arbitrary Order
327
     Full text

Paul Erdös
Letter to the Editor
335
     Full text

C. A. Church, Jr.
Lattice Paths and Fibonacci and Lucas Numbers
336
     Full text

A. J. W. Hilton
On the Partition of Haradam's Generalized Sequences into Generalized Fibonacci and Generalized Lucas Sequences
339
     Full text

Errata 345
     Full text

I. J. Good
A Reciprocal Series of Fibonacci Numbers
346
     Full text

Norris Goodwin
Power Series and Cyclic Decimals
347
     Full text

A. F. Horadam
On Generating Functions for Powers of a Generalized Sequence of Numbers
348
     Full text [Part 1] [Part 2] [Part 3] [Part 4]

Paul A. Catlin
A Lower Bound for the Period of the Fibonacci Series Modulo M
349
     Full text

A. G. Shannon, A. F. Horadam and S. N. Collings
Some Congruences for Fibonacci Numbers
351
     Full text

Daniel C. Fielder
Fibonacci Numbers in Tree Counts for Sector and Related Graphs
355
     Full text

M. J. Hodel
Combinatorial Interpretation of an Analog of Generalized Binomial Coefficients
360
     Full text

Murray Hochberg
On the Set of Divisor of a Number
363
     Full text

Paul A. Catlin
On the Multiplication of Recurrences
365
     Full text

David Zeitlin
A Note on Fermat's Last Theorem
368
     Full text [Part 1] [Part 2]

L. Carlitz
A q-Identity
369
     Full text

R. C. Grimson
The Evaluation of Certain Arithmetic Sums
373
     Full text

Marcellus E. Waddill
Matrices and Generalized Fibonacci Sequences
381
     Full text

Charles W. Trigg
Antimagic Squares Derived from the Third-Order Magic Square
387
     Full text

Emanuel Vegh
Concerning an Equivalence Relation for Matrices
391
     Full text

H. W. Gould
Some Sequences Generated by Spiral Sieving Methods
393
     Full text

Edited by Raymond E. Whitney
Advanced Problems and Solutions
398
     Full text

Edited by A. P. Hillman
Elementary Problems and Solutions
403
     Full text

Volume Index 407
     Full text