The Encyclopedia of Integer Sequences (Hardcover)

~ (Author), Simon Plouffe (Author) "It is the fate of those who toil at the lower employments of life, to be driven rather by the fear of evil, than attracted..." (more)
Key Phrases: percolation series, hexagonal polyominoes, order maximal independent sets, Generalized Stirling, Coefficients of Legendre, Coefficients of Chebyshev (more...)

Editorial Reviews

Review

In spite of the large number of published mathematical tables, until the appearance of the first authors A Handbook of Integer Sequences in 1974 there was no table of sequences of integers. The 1974 book remedied this situation to a certain extent, and the present work is a greatly expanded version of that book. The main table contains 5488 sequences of integers (compared with 2372 in the first book), collected from all branches of mathematics and science. The sequences arearranged in numerical order, and for each one a brief description and a reference is given.
An invaluable tool. I shall say no more about this marvelous reference except that every recreational mathematician should buy a copy forthwith.
--MARTIN GARDNER in Scientific American
There are twice as many sequences as there were in Sloanes Handbook and those who have the Handbook will want The Encyclopedia....Many people who have searched in vain for some of the sequences missing from the Handbook will be quick to get copies of this new and expanded version to track down these missing sequences.
--RICHARD K. GUY, University of Calgary
What's the next whole number in this sequence: 2, 4, 7, 11, 16, 22, 29? The answer can be found in one of more than 5,000 entries in The Encyclopedia of Integer Sequences.
--SCIENCE NEWS
The number of sequences cataloged here is more than double the tally of the previous incarnation....If libraries shelve this book in the reference section, they should consider aquiring a second copy for circulation. The book will likely be in high demand, not just by researchers, but by browsers at all levels who will especially appreciate the entertaining commentaries interspersed every few pages throughout the encyclopedia. Highly recommended for all academic libraries.
--CHOICE
"Incomparable, eccentric, yet very useful. Contains thousands of 'well-defined and interesting' infinite integer sequences together with references for each. Sequences are arranged lexicographically and (to minimize errors) typeset from computer tape. If you ever wondered what comes after 1,2,4,8,18,71...this is the place to look it up."
--American Mathematical Monthly -- Review

Review

In spite of the large number of published mathematical tables, until the appearance of the first authors A Handbook of Integer Sequences<$> in 1974 there was no table of sequences of integers. The 1974 book remedied this situation to a certain extent, and the present work is a greatly expanded version of that book. The main table contains 5488 sequences of integers (compared with 2372 in the first book), collected from all branches of mathematics and science. The sequences arearranged in numerical order, and for each one a brief description and a reference is given.
An invaluable tool. I shall say no more about this marvelous reference except that every recreational mathematician should buy a copy forthwith.
--MARTIN GARDNER in Scientific American<$>
There are twice as many sequences as there were in Sloanes Handbook<$> and those who have the Handbook<$> will want The Encyclopedia<$>....Many people who have searched in vain for some of the sequences missing from the Handbook<$> will be quick to get copies of this new and expanded version to track down these missing sequences.
--RICHARD K. GUY, University of Calgary
What's the next whole number in this sequence: 2, 4, 7, 11, 16, 22, 29? The answer can be found in one of more than 5,000 entries in The Encyclopedia of Integer Sequences.<$>
--SCIENCE NEWS
The number of sequences cataloged here is more than double the tally of the previous incarnation....If libraries shelve this book in the reference section, they should consider aquiring a second copy for circulation. The book will likely be in high demand, not just by researchers, but by browsers at all levels who will especially appreciate the entertaining commentaries interspersed every few pages throughout the encyclopedia. Highly recommended for all academic libraries.
--CHOICE
"Incomparable, eccentric, yet very useful. Contains thousands of 'well-defined and interesting' infinite integer sequences together with references for each. Sequences are arranged lexicographically and (to minimize errors) typeset from computer tape. If you ever wondered what comes after 1,2,4,8,18,71...this is the place to look it up."
--American Mathematical Monthly

See all Editorial Reviews

Product Details

• Hardcover: 587 pages
• Publisher: Academic Press; 1st edition (April 11, 1995)
• Language: English
• ISBN-10: 0125586302
• ISBN-13: 978-0125586306
• Product Dimensions: 9.3 x 6.3 x 1.2 inches
• Shipping Weight: 2.4 pounds (View shipping rates and policies)
• Average Customer Review: 4.0 out of 5 stars  See all reviews (4 customer reviews)
• Amazon.com Sales Rank: #1,270,914 in Books (See Bestsellers in Books)

Customer Reviews

Most Helpful Customer Reviews

16 of 16 people found the following review helpful:

5.0 out of 5 stars My God!, December 13, 1999

By	Sen Peng Eu "ESP=Math+Music+Literature" (Kaohsiung, Taiwan) - See all my reviews (REAL NAME)

Since combinatorics is my major, this book fulfills my dream. It contains over 5000 sequences, from famous Fibonacci to notorious 1,3,6,11,17,25,... (Perfect ruler,general term still unknown ), to nonsense 1,11,21,1211,111221,..(every term describe the former term). Nearly every important integer sequence in mathematics get a line here, with references. This is a dream book for combinatorics specialists, a must for high-school teachers while doing some short essays with gifted students, a fun book for mathematics fans, especially those like mathematical games.

10 of 10 people found the following review helpful:

5.0 out of 5 stars The book is a compilation of all important sequences in math, April 10, 1997

By A Customer

This is a compilation of 5488 sequences in more than 8000 references. Each sequence comes with a description, formula, generating function (if known). It is an essential reference book for all researchers in mathematics in general. There are 2 parts, the first part consist of 3 chapters that explain how to 'crack' a sequence and what are the main methods for doing so. The second part is the huge list of all the sequences. The book comes with a diskette and an comprehensive index + complete bibliography. An enthusiastic reader once said that : 'There is the Old Testament, the New Testament and the Encyclopedia of Integer Sequences.'

3 of 3 people found the following review helpful:

5.0 out of 5 stars Searching for the book vs. the disk?, January 8, 2004

By	tmk (California, United States) - See all my reviews

The Encyclopedia of Integer Sequences is available in three formats. Sellers often incorrectly match the ISBN to the format. It may be helpful to know the ISBN, rather than to rely on the results of a search by Title/Author.

Hardcover Book: ISBN 0125586302
Macintosh Disk: ISBN 0125586310
MSDOS/IBM Disk: ISBN 0125586329

Also, use the price as a clue to which item you will be receiving - the book sells for $70+, the disk for under $20.