The Encyclopedia of Integer Sequences

The Encyclopedia of Integer Sequences

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by N. J. A. Sloane

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@MISC{Sloane_theencyclopedia,
    author = {N. J. A. Sloane},
    title = {The Encyclopedia of Integer Sequences},
    year = {}
}

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Abstract

This article gives a brief introduction to the On-Line Encyclopedia of Integer Sequences (or OEIS). The OEIS is a database of nearly 90,000 sequences of integers, arranged lexicographically. The entry for a sequence lists the initial terms (50 to 100, if available), a description, formulae, programs to generate the sequence, references, links to relevant web pages, and other

Citations

272	On-line Encyclopedia of Integer Sequences, published electronically at (http://www.research.att.com/∼njas/sequences - Sloane
212	On Numbers and Games - Conway - 1976
125	Gfun: a Maple package for the manipulation of generating and holonomic functions in one variable - Salvy, Zimmermann - 1994
84	Monstrous moonshine - Conway, Norton
83	Groups of homotopy spheres - Kervaire, Milnor - 1963
25	On the Existence of Similar Sublattices - Conway, Rains, et al. - 1999
24	Grandes valeurs de la fonction somme des diviseurs et hypothèse de - Robin - 1984
20	updown numbers associated with function singularities, their combinatorics and arithmetic,Duke Math.J. 63(2 - Arnold - 1990
19	An elementary problem equivalent to the Riemann hypothesis - Lagarias
18	Determinantenabschätzungen für binäre - Ehlich - 1964
17	Bach: An Eternal Golden Braid, Vintage Books - Hofstadter, Escher - 1980
15	Handbook of Number Theory I - Sandór, Mitrinović, et al. - 2006
12	How to do MONTHLY problems with your computer - Nemes, Petkovsek, et al. - 1997
11	Private communication - Knuth - 2010
11	Folding a strip of stamps - Koehler - 1968
10	A 1995 Some canonical sequences of integers Linear Algebra Appl - Bernstein, Sloane
9	folding and arch statistics - Francesco, Golinelli, et al.
9	Generalized Wythoff arrays, shuffles and interspersions, Discrete Math. 126 - Fraenkel, Kimberling - 1994
9	Classification of Hadamard matrices of order 28 - Kimura - 1994
8	Classification of Hadamard matrices of order 28 with Hall sets - Kimura - 1994
7	Finite Graphs and Networks - Busacker, Saaty - 1965
7	Meanders: a direct enumeration approach - Francesco, Golinelli, et al. - 1996
6	personal communication - Conway - 2008
5	The combinatorics of Mancala-type games - Roline, Loeb - 1995
5	Some sequences of integers - Cameron - 1989
4	Numerical analogues of Aronson’s sequence - Cloitre, Sloane, et al.
4	My favorite integer sequences, in Sequences and their Applications (Proceedings of SETA ’98), edited by - Sloane - 1999
4	Branching covering CP 2 →S 4 , hyperbolicity and projective topology ,Siberian Math.Journal - Arnold
4	The number of achiral trees - Harary, Robinson - 1975
4	Stolarsky interspersions, Ars Combinatoria 39 - Kimberling - 1995
3	Binomial self-inverse sequences and tangent coefficients - Donaghey - 1976
3	Fractal sequences and interspersions - Kimberling - 1997
3	Classification of Hadamard matrices of order 28, Discrete Math - Kimura - 1994
2	Mathematicians get an on-line fingerprint file - Cipra - 1994
2	RATE-A Mathematica guessing machine, available electronically from http://euler.univ-lyon1.fr/home/kratt/rate/rate.html - Krattenthaler
2	combinatorische Probleme [Four combinatorial problems - Schröder, Vier
2	Some crazy sequences, videotaped talk at - Conway
2	On a sequence generated by a sieving process, Riveon Lematematika 11 - David - 1957
2	Monthly 82 - Math - 1975
2	Problem 5407 - Golomb - 1966
2	Hadamard matrices of order 28 with automorphism groups of order two - Kimura - 1986
1	An algorithm to compute generalized Padé-Hermite forms - Derken - 1994
1	Geest, Home primes < 100 and beyond, published electronically at www.worldofnumbers.com/topic1.htm - De - 2003
1	What is the best way to lace your shoes?, Nature - Polster
1	Kalahari and the sequence “Sloane No - Betten - 1988
1	Ueber die analytischen Figuren, welche in der Mathematik Bäume genannt werden und ihre Anwendung auf die Theorie chemischer Verbindungen - Cayley
1	Computation of large values of π(x), preprint - Deléglise - 1996
1	On a sequence of integers generated by a sieving process - Erdős, Jabotinsky - 1958
1	Line colored trees with extendable automorphisms - Gati, Harary, et al. - 1982
1	A diagrammatic approach to the meander problem, LANL e-print hep-th/9807193 - Harris