Fibonacci Quarterly
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Volume 10 Number 6 December 1972

CONTENTS

Cover Page

I. McCausland
A Simple Optimal Control Sequence in Terms of Fibonacci Numbers
561
     Full text [Part 1] [Part 2]

A. P. Hillman and V. E. Hoggatt, Jr.
A Proof of Gould's Pascal Hexagon Conjecture
565
     Full text [Part 1] [Part 2]

Janos Galambos
A Constructive Uniqueness Theorem on Representing Integers
569
     Full text [Part 1] [Part 2]

Rodney T. Hansen
Generating Identities for Fibonacci and Lucas Triples
571
     Full text

H. W. Gould
A New Greatest Common Divisor Property of the Binomial Coefficients
579
     Full text [Part 1] [Part 2] Errata

L. R. Shenton
Linear Difference Equations and Generalized Continuants Part I: Algebraic Developments
585
     Full text [Part 1] [Part 2]

L. Carlitz and D. P. Roselle
Triangular Arrays Subject to MacMahon's Conditions
591
     Full text [Part 1] [Part 2]

Verner E. Hoggatt, Jr. and Marjorie Bicknell
Convolution Triangles
599
     Full text

Hwa S. Hahn
A Counting Function of Integral n-Triples
609
     Full text [Part 1] [Part 2]

H. W. Gould
Some Combinatorial Identities of Bruckman -- A Systematic Treatment with Relation to the Older Literature
613
     Full text | Errata

Edited by Raymond E. Whitney
Advanced Problems and Solutions
629
     Full text

Brother Alfred Brousseau
A Primer for the Fibonacci Numbers Part X: On the Representation of Integers
647
     Full text

W. E. Sharp
Fibonacci Drainage Patterns
643
     Full text [Part 1] [Part 2]

Edgar Karst
More About Magic Squares Consisting of Different Primes
651
     Full text

Errata 656
     Full text

Brother Alfred Brousseau
A Note on the Number of Fibonacci Sequences
657
     Full text

Basil Davis
Fibonacci Numbers in Physics
659
     Full text [Part 1] [Part 2]

Reuven Peleg
An Old Fibonacci Formula and Stopping Rules
661
     Full text | Letter to the Editor

Announcement 662
     Full text

Edited by A. P. Hillman
Elementary Problems and Solutions
663
     Full text

Volume Index 667
     Full text