A Handbook of Integer Sequences - 1st Edition - ISBN: 9780126485509, 9781483264677

A Handbook of Integer Sequences

1st Edition

Authors: N.J.A. Sloane
eBook ISBN: 9781483264677
Imprint: Academic Press
Published Date: 28th December 1973
Page Count: 220
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Description

A Handbook of Integer Sequences contains a main table of 2300 sequences of integers that are collected from all branches of mathematics and science.

This handbook describes how to use the main table and provides methods for analyzing and describing unknown and important sequences. This compilation also serves as an index to the literature for locating references on a particular problem and quickly finds numbers such as 712, number of partitions of 30, 18th Catalan number, or expansion of ? to 60 decimal places. Other topics include the method of differences, self-generating sequences, polyominoes, permutations, and puzzle sequences.

This publication is a good source for students and researchers who are confronted with strange and important sequences.

Table of Contents


Preface

Acknowledgments

Abbreviations

Chapter 1 Description of the Book

1.1 Description of a Typical Entry

1.2 Arrangement

1.3 Number of Terms Given

1.4 References

1.5 What Sequences Are Included?

1.6 How Are Arrays of Numbers Treated?

1.7 Supplements

Chapter 2 How to Handle a Strange Sequence

2.1 How to See if a Sequence Is in the Table

2.2 If the Sequence Is Not in the Table

2.3 Finding the Next Term

2.4 Look for a Recurrence

2.4.1 Method of Differences

2.4.2 Other Methods of Attack

2.4.3 Factorizing

2.4.4 Self-Generating Sequences

Chapter 3 Illustrated Description of Some Important Sequences

3.1 Graphs and Trees

3.2 Relations

3.3 Geometries

3.4 Combinations and Figurate Numbers

3.5 Catalan Numbers and Dissections

3.6 Necklaces and Irreducible Polynomials

3.7 Knots

3.8 Stamps

3.9 Polyominoes

3.10 Boolean Functions

3.11 Póly a Counting Theory

3.12 Partitions

3.13 Permutations

3.14 Sequences from Number Theory

3.15 Puzzle Sequences

3.16 Sequences from Lattice Studies in Physics

The Main Table of Sequences

Bibliography

Index

Details

No. of pages:
220
Language:
English
Copyright:
© Academic Press 1973
Published:
Imprint:
Academic Press
eBook ISBN:
9781483264677

About the Author

N.J.A. Sloane