# 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} }

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

Sloane's Gap. Do Mathematical and Social Factors Explain the Distribution of Numbers in the OEIS ?

- Mathematics
- 2011

The Online Encyclopedia of Integer Sequences (OEIS) is a catalog of integer sequences. We are particularly interested in the number of occurrences of N(n) of an integer n in the database. This number…

The encyclopedia of integer sequences

- Computer Science
- 1995

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.

Disquisitiones Arithmeticae and online sequence A108345

- Mathematics
- 2010

Let g be the element that is the sum of x^(n^2) for n >= 0 of A=Z/2[[x]], and let B consist of all n for which the coefficient of x^n in 1/g is 1. (The elements of B are the entries 0, 1, 2, 3, 5, 7,…

Some enumerative results related to ascent sequences

- MathematicsDiscret. Math.
- 2014

Autocorrelation of Strings A comment on entries A 005434 and A 045690 of the Encyclopedia of Integer Sequences Eric Rivals LIRMM

- Computer Science
- 2006

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.

Eight hateful sequences

- Art
- 2008

In his July 1974 Scientific American column, Martin Gardner mentioned the Handbook of Integer Sequences, which then contained 2372 sequences. Today the On-Line Encyclopedia of Integer Sequences (the…

Experimental methods applied to the computation of integer sequences

- Computer Science, Mathematics
- 2009

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.

Fibonacci-like sequences and shift spaces in symbolic dynamics

- Computer Science
- 2008

How many of these problems may be expressed and solved in terms of Fibonacci-like recurrent relations in a simple, intuitive and amenable way are shown and the limit ratios of such sequences to the topological entropy of the corresponding shift space are related.

On Hultman numbers

- Mathematics
- 2007

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…

Seven Staggering Sequences

- Mathematics
- 2009

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…

## References

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The encyclopedia of integer sequences

- Computer Science
- 1995

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.

Arithmetical properties of permutations of integers

- Mathematics
- 1983

For the finite case let a1 , a 2 , . . ., an be a permutation of the integers 1, 2, . . ., n and for the infinite case let a 1 , a2 , . . ., ai , . . . be a permutation of all positive integers .…

The First 50 Million Prime Numbers

- Mathematics
- 1977

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…

What Is Enumerative Combinatorics

- Mathematics
- 1986

The basic problem of enumerative combinatorics is that of counting the number of elements of a finite set. Usually are given an infinite class of finite sets S i where i ranges over some index set I…

Handbook of Number Theory I

- Mathematics
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Preface. Basic Symbols. Basic Notations. I. Euler's phi-function. II. The arithmetical function d(n), its generalizations and its analogues. III. Sum-of-divisors function, generalizations, analogues…

Plane nets in crystal chemistry

- GeologyPhilosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences
- 1980

In the present paper we consider not only the simplest periodic nets (such as arise from the equivalent circle packings of Niggli, Fejes Toth and others) but also less regular ones, ignored by…

Relations between hypersurface cross ratios, and a combinatorial formula for partitions of a polygon, for permanent preponderance, and for non-associative products

- Mathematics
- 1948

This note improves, in two respects, the results of §3.6 of my paper The hyper surface cross ratio. There it is shown that the number cn of independent hypersurface cross ratios that can be formed of…

Pi, Euler numbers, and asymptotic expansions

- Mathematics
- 1989

Gregory’s series for π, truncated at 500,000 terms, gives to forty places
$$4\sum\limits_{k = 1}^{500.000} {\frac{{{{\left( { - 1} \right)}^{k - 1}}}}{{2k - 1}}} =…

GFUN: a Maple package for the manipulation of generating and holonomic functions in one variable

- MathematicsTOMS
- 1994

We describe the GFUN package which contains functions for manipulating sequences, linear recurrences, or differential equations and generating functions of various types. This article is intended…