Fibonacci Quarterly
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Volume 10 Number 3 April 1972

CONTENTS

Cover Page

John C. Higgins
Subsemigroups of the Additive Positive Integers
225
     Full text

C. C. Yalavigi
Properties of Tribonacci Numbers
231
     Full text

Brother Alfred Brousseau
Note on the Characteristic Number of a Sequence of Fibonacci Squares
247
     Full text

P. Erdös and R. L. Graham
On Sums of Fibonacci Numbers
249
     Full text

John Ivie
A General Q-Matrix
255
     Full text [Part 1] [Part 2]

Leslie E. Blumenson
A Characterization of Fibonacci Numbers Suggested by a Problem in Cancer Research
262
     Full text [Part 1] [Part 2] Errata

Robert M. Giuli
Linear Homogeneous Difference Equations
265
     Full text [Part 1] [Part 2]

V. E. Hoggatt, Jr.
Generalized Fibonacci Numbers in Pascal's Pyramid
271
     Full text [Part 1] [Part 2]

J. L. Brown, Jr. and R. L. Duncan
Modulo One Uniform Distribution of Certain Fibonacci-Related Sequences
277
     Full text [Part 1] [Part 2]

L. Carlitz
Note on Summation Formulas
281
     Full text [Part 1] [Part 2]

Edited by Raymond E. Whitney
Advanced Problems and Solutions
283
     Full text

Joseph S. Madachy
Some New Narcissistic Numbers
295
     Full text

Rolf A. Deininger
Fibonacci Numbers and Water Pollution Control
299
     Full text [Part 1] [Part 2]

J. Wlodarski
A Number Game
301
     Full text

Brother Alfred Brousseau
Fibonacci Numbers and Geometry
303
     Full text [Part 1] [Part 2]

Hugo Norden
Proportions and the Composer
319
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M. S. Klamkin
A Number Problem
324
     Full text

Beverly Ross
A Lucas Number Counting Problem
325
     Full text

Corrigenda 328
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Edited by A. P. Hillman
Elementary Problems and Solutions
329
     Full text