Handbook of Integer Sequences (eBook)

N.J.A. Sloane (Autor)

eBook Download: PDF

2014 | 1. Auflage
220 Seiten
Elsevier Science (Verlag)
9781483264677 (ISBN)

Infos

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.

Inhalt

Front Cover 1
A Handbook of Integer Sequences 4
Copyright Page 5
Table of Contents 8
Dedication 6
PREFACE 10
ACKNOWLEDGMENTS 12
ABBREVIATIONS 14
CHAPTER I. DESCRIPTION OF THE BOOK 16
1.1 DESCRIPTION OF A TYPICAL ENTRY 16
1.2 ARRANGEMENT 17
1.3 NUMBER OF TERMS GIVEN 17
1.4 REFERENCES 17
1.5 WHAT SEQUENCES ARE INCLUDED? 18
1.6 HOW ARE ARRAYS OF NUMBERS TREATED? 19
1.7 SUPPLEMENTS 19
CHAPTER II. HOW TO HANDLE A STRANGE SEQUENCE 20
2.1 HOW TO SEE IF A SEQUENCE IS IN THE TABLE 20
2.2 IF THE SEQUENCE IS NOT IN THE TABLE 20
2.3 FINDING THE NEXT TERM 21
2.4 LOOK FOR A RECURRENCE 21
CHAPTER IIII. LLUSTRATED DESCRIPTION OF SOME 
26 
3.1 GRAPHS AND TREES 26
3.2 RELATIONS 29
3.3 GEOMETRIES 31
3.4 COMBINATIONS AND FIGURATE NUMBERS 32
3.5 CATALAN NUMBERS AND DISSECTIONS 33
3.6 NECKLACES AND IRREDUCIBLE POLYNOMIALS 36
3.7 KNOTS 36
3.8 STAMPS 37
3.9 POLYOMINOES 37
3.10 BOOLEAN FUNCTIONS 38
3.11 PÓLYA COUNTING THEORY 38
3.12 PARTITIONS 39
3.13 PERMUTATIONS 41
3.14 SEQUENCES FROM NUMBER THEORY 44
3.15 PUZZLE SEQUENCES 45
3.16 SEQUENCES FROM LATTICE STUDIES IN PHYSICS 46
THE MAIN TABLE OF SEQUENCES 48
SEQUENCES BEGINNING 1, 2, 0 AND 1, 2, 1 48
SEQUENCES BEGINNING 1, 2, 3 58
SEQUENCES BEGINNING 1, 2, 4 71
SEQUENCES BEGINNING 1, 2, 5 81
SEQUENCES BEGINNING 1, 
92 
SEQUENCES BEGINNING 1, 2, 8 THROUGH 1, 2, 10 94
SEQUENCES BEGINNING 1, 2, 11, 1, 2, 
98 
SEQUENCES BEGINNING 1, 3 104
SEQUENCES BEGINNING 1, 4 130
SEQUENCES BEGINNING 1, 5 145
SEQUENCES BEGINNING 1, 
155 
SEQUENCES BEGINNING 1, 7 163
SEQUENCES BEGINNING 1, 
173 
SEQUENCES BEGINNING 1, 10 THROUGH 1, 19 176
SEQUENCES BEGINNING 1, 20 THROUGH 1, 49 189
SEQUENCES BEGINNING 1, 
196 
BIBLIOGRAPHY 202
INDEX 214

Produkt-Details

• Erscheint lt. Verlag: 10.5.2014
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Themenwelt: Technik
• ISBN-13: 9781483264677 / 9781483264677