# The On-Line Encyclopedia of Integer Sequences

@article{Sloane1994TheOE,
title={The On-Line Encyclopedia of Integer Sequences},
author={N. J. A. Sloane},
journal={Electron. J. Comb.},
year={1994},
volume={1}
}
• N. Sloane
• Published 24 December 2003
• Computer Science
• Electron. J. Comb.
The On-Line Encyclopedia of Integer Sequences (or OEIS) is a database of some 130000 number sequences. It is freely available on the Web (http://www.research.att.com/~njas/sequences/) and is widely used. There are several ways in which it benefits research: 1 It serves as a dictionary, to tell the user what is known about a particular sequence. There are hundreds of papers which thank the OEIS for assistance in this way. 1 The associated Sequence Fans mailing list is a worldwide network…
5,740 Citations
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Any word of length n has a non-empty set of periods, which is a subset of [0, n − 1], which can be denoted as a set, but also as a binary vector oflength n indexed from 0 until n −1 in which an entry equals 1 if an integer is a period of the word and 0 otherwise.
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The experimental method is applied to certain problems in number theory and combinatorics to understand certain integer sequences, and the recurrence an=an-1 +gcdn,an- 1 , which is shown to generate primes in a certain sense.
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On Hultman numbers
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Finding a sequence of transpositions that transforms a given permutation into the identity permutation and is of the shortest possible length is an important problem in bioinformatics. Here, a
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When my "Handbook of Integer Sequences" came out in 1973, Philip Morrison gave it an enthusiastic review in the Scientific American and Martin Gardner was kind enough to say in his Mathematical Games

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This book presents methods for Computer Investigation of Sequences, a method for hand analysis of sequences, and some of the methods used in this work, as well as suggestions for further study.
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I would like to tell you today about a subject which, although I have not worked in it myself, has always extraordinarily captivated me, and which has fascinated mathematicians from the earliest
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