A Handbook of Integer Sequences

PrefaceAcknowledgmentsAbbreviationsChapter 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 SupplementsChapter 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 SequencesChapter 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 PhysicsThe Main Table of SequencesBibliographyIndex