This encyclopedia contains more than 5000 integer sequences, over half of which have never before been catalogued. Because the sequences are presented in the most natural form, and arranged for easy reference, this book is easier to use than the authors earlier classic A Handbook of Integer Sequences . The Encyclopedia gives the name, mathematical description, and citations to literature for each sequence. Following sequences of particular interest, thereare essays on their origins, uses, and connections to related sequences (all cross-referenced). A valuable new feature to this text
The initial chapters are both amusing and enlightening. They serve as a delightful introduction to the subject and a short course on how to identify and work with integer sequences. This encyclopedia brings Sloanes ground-breaking Handbook up to date, more than doubling its size, and linking both the old and the new material to an extensive bibliography (over 25 pages long), of current and classic references. An index to all the sequences in the book is also available separately on disk in Macintosh and IBM formats.

lgli/The Encyclopedia of Integer Sequences(1995,1e)N. J.A. Sloane, Simon Plouffe_0125586302.pdf

lgrsnf/The Encyclopedia of Integer Sequences(1995,1e)N. J.A. Sloane, Simon Plouffe_0125586302.pdf

zlib/Chemistry/N. J.A. Sloane, Simon Plouffe/The Encyclopedia of Integer Sequences_17814095.pdf

Morgan Kaufmann Publishers

Brooks/Cole

United States, United States of America

San Diego, CA, cop. 1995

{"edition":"1","isbns":["0125586329","9780125586320"],"last_page":587,"publisher":"Academic Press"}

Title Page
Contents
Preface
Abbreviations
Chapter 1. Descrption of the book
1.1 Descrption of a typical entry
1.2 Arrangement of table
1.3 Number of terms given
1.4 References
1.5 What sequences are included?
1.6 The figures
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 Recurrences and generating functions
2.5 Analysis of differences
2.6 Other methods for hand analysis
2.7 Transformations of sequences
2.8 Methods for computer investigation of sequences
2.9 The on-line versions of the Encyclopedia
2.10 The floppy disk
Chapter 3. Further topics
3.1 Applications
3.2 History
3.3 Differences from the 1973 book
3.4 Future plans
3.5 Acknowledgments
The table of sequences
SEQUENCES OF 0's AND 1's [M0000]
SEQUENCES BEGINNING ..., 2, 0, ... [M0004]
SEQUENCES BEGINNING ..., 2, 1, ... [M0040]
Figure M0062. ALIQUOT SEQUENCES
Figure M0126. LINUS AND SALLY SEQUENCES
Figure M0180. NON-ATTACKING QUEENS.
SEQUENCES BEGINNING ..., 2, 2, ... [M0185]
Figure M0240. ERROR-CORRECTING CODES
Figure M0320. SERIES-REDUCED TREES
SEQUENCES BEGINNING ..., 2, 3, ... [M0394]
Figure M0436. SELF-GENERATING SEQUENCES
Figure M0500. EULER TOTIENT FUNCTION
Figure M0557. ULAM SEQUENCES
Figure M0663. PARTITIONS
Figure M0692. FIBONACCI AND LUCAS NUMBERS
Figure M0791. TREES
Figure M0847. KNOTS
SEQUENCES BEGINNING ..., 2, 4, ... [M0928]
Figure M0982. ORCHARD PROBLEM
Figure M1040. LIGHT-BULB GAME
Figure M1041. SLICING A PANCAKE
Figure M1141. RNA MOLECULES
Figure M1197. GEOMETRIES
Figure M1253. GRAPHS
SEQUENCES BEGINNING ..., 2, 5, ... [M1311]
Figure M1332. BEATTY SEQUENCES
Figure M1369. UNCROSSED KNIGHT'S TOURS
Figure M1459. CATALAN NUMBERS
Figure M1495. PARTIALLY ORDERED SETS
SEQUENCES BEGINNING ..., 2, 6, ... [M1556]
Figure M1645. PASCALS TRIANGLE
Figure M1722. MULTIPLICATIVE ENCODING OF ARRAYS
SEQUENCES BEGINNING ..., 2, 7, ... [M1727]
SEQUENCES BEGINNING ..., 2, 8, ... [M1822]
Figure M1845. POLYOMINOES
SEQUENCES BEGINNING ..., 2, 9, ... [M1910]
Figure M1937. DERANGEMENTS
SEQUENCES BEGINNING ..., 2, 10, ..., ..., 2, 11, ... [M1958]
Figure M2051. HARD SEQUENCES
SEQUENCES BEGINNING ..., 3, 0, ...TO..., 3, 3, ... [M2192]
Figure M2209. SPHERE-PACKING PROBLEM
Figure M2218. DECIMAL EXPANSIONS
SEQUENCES BEGINNING ..., 3, 4, ...TO..., 3, 7, ... [M2297]
Figure M2336. THETA SERIES OF HEXAGONAL LATTICE
Figure M2375. DISSECTIONS
Figure M2497. CELLULAR AUTOMATA
Figure M2535. POLYGONAL NUMBERS
Figure M2540. GOLOMB RULERS
Figure M2566. PLANAR PARTITIONS
Figure M2629. OUR FAVORITE SEQUENCES
Figure M2671. MAPPINGS ON AN n-SET
SEQUENCES BEGINNING ..., 3, 8, ...TO..., 3, 12, ... [M2709]
Figure M2817. TOPOLOGIES (See Fig. M3032.) Only 8 terms of this sequence are known.
SEQUENCES BEGINNING ..., 3, 13, ...,..., 3, 14, ... [M2938]
Figure M3032. RELATIONS
Figure M3097. CONTINUED FRACTIONS
SEQUENCES BEGINNING ..., 4, 0, ...TO..., 4, 12, ... [M3183]
Figure M3218. THETA SERIES
Figure M3224. ATTACKING KNIGHTS
Figure M3382. PYRAMIDAL NUMBERS
Figure M3416. EULER'S TRIANGLE
SEQUENCES BEGINNING ..., 4, 13, ...,..., 4, 14, ... [M3460]
SEQUENCES BEGINNING ... 5, ... [M3727]
Figure M3736. HADAMARD MATRICES
Figure M3826. CENTERED POLYGONAL NUMBERS
Figure M3860. NECKLACES, POLYNOMIALS
Figure M3987. QUARTERING A CHESSBOARD
Figure M4019. EULER, TANGENT, GENOCCHI NUMBERS
SEQUENCES BEGINNING ... 6, ... [M4040]
Figure M4189. BERNOULLI NUMBERS
Figure M4299. HARMONIC NUMBERS
SEQUENCES BEGINNING ..., 7, ... [M4319]
SEQUENCES BEGINNING ..., 8, ... AND ..., 9, ... [M4466]
Figure M4482. SQUARING A SQUARE
Figure M4587. FOLDING STAMPS, MEANDERS
SEQUENCES BEGINNING ..., 10, ...TO..., 13, ... [M4674]
Figure M4730. PERMUTATIONS, STIRLING NUMBERS OF 1ST KIND
Figure M4822. DISALLOWED SEQUENCES
SEQUENCES BEGINNING ..., 14, ...TO..., 24, ... [M4921]
Figure M4981. STIRLING NUMBERS OF 2ND KIND, BELL NUMBERS
Figure M5140. 24-CELL
SEQUENCES BEGINNING ..., 25, ... ONWARDS
Figure M5405. SILLY SEQUENCES
Bibliography [AABB]
[AMN]
[BAMS]
[BO47]
[CaRo91]
[CO89]
[DE87]
[EG80]
[FPSAC]
[GK68]
[GU58]
[Henr67]
[IDM]
[jm]
[Kimu94b]
[LE77]
[Lunn74]
[MO68]
[NMT]
[PE79]
[PoRu94]
[rhb]
[SA81]
[SIAJ]
[ST70]
[TO72]
[WIEN]
Index
A, B
C
D
E
F
G
H
I, J
K, L
M
N, O, P
Q, R
S
T
U, V, W
X, Y, Z, 1-3

"The encyclopedia of integer sequences contains more than 5,000 integer sequences, arranged for easy reference, with more than half never before been catalogued. In addition to having more than double the material of Sloane's A Handbook of Integer Sequences, this encyclopedia gives the name, mathematical description, and citations to literature for each sequence. It includes essays on origins, uses, and connections, with interesting diagrams or illustrations. More than a table, this is an introduction to the field, showing readers how to identify and work with sequences. It includes an extensive bibliography of current and classical references. An index to all the sequences in the book is also available separately on disk in Macintosh and IBM formats."--Book cover

Gives the name, mathematical description, and citations to literature for each sequence. This book contains essays on the origins, uses, and connections to related sequences (all cross-referenced) of sequences of particular interest. It presents a short course on how to identify and work with integer sequences.

Contains more than 5000 integer sequences, providing the name, mathematical description, and citations. This encyclopedia includes a number of diagrams and illustrations related to selected sequences. It is extensively cross-referenced. It also lists a bibliography.

2021-10-26