Fibonacci Quarterly | Books & Tables
Fibonacci Association

Generalized Pascal Triangles and Pyramids

Their Fractals, Graphs, and Applications

by Boris A. Bondarenko

Translated by Richard C. Bollinger

Published 1993 by the Fibonacci Association

You may download the entire volume, [Part 1] (size 4.2 Mb), [Part 2] (size 5 Mb), for free, or individual chapters below.

CONTENTS

Title Page

Table of Contents i
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Translator's Preface v
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Preface vi
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Chapter 1:
Pascal Triangles and Their Planar and Spatial Generalizations
1
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Chapter 2:
Divisibility and the Distribution Modulo p and Its Powers, of Binomial, Trinomial, and Multinomial Coefficients
57
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Chapter 3:
Divisibility and the Distribution Modulo p of Generalized Binomial Coefficients, Fibonacci, Lucas, and Other Sequences
105
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Chapter 4:
Fractal Pascal and Other Arithmetic Triangles
126
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Chapter 5:
Generalized Arithmetic Graphs and Their Properties
140
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Chapter 6:
Matrices and Determinants of Binomial and Generalized Binomial Coefficients and Other Numbers
161
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Chapter 7:
Combinatorial Algorithms for the Construction of Generalized-Homogeneous Polynomials. Some Classes of Nonorthogonal Polynomials
170
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References 215
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Appendix 242
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