swMATH ID: 7248
Software Authors: Sloane, Neil J. A.; The OEIS Foundation Inc.
Description: The On-Line Encyclopedia of Integer Sequence. The main use for the OEIS is to identify a number sequence that you have come across, perhaps in your work, while reading a book, or in a quiz, etc. For example, you discover what you think may be a new algorithm for checking that a file of medical records is in the correct order. (Perhaps you are a computer scientist or someone working in information science.) To handle files of 1, 2, 3, 4, ... records, your algorithm takes 0, 1, 3, 5, 9, 11, 14, 17, 25, ... steps. How can you check if someone has discovered this algorithm before? You decide to ask the OEIS if this sequence has appeared before in the scientific literature. You go the OEIS web site, enter the numbers you have calculated, and click ”Submit”. The reply tells you that this is sequence A3071, which is the number of steps needed for ”sorting by list merging”, a well-known algorithm. The entry directs you to Section 5.3.1 of Volume 3 of D. E. Knuth, ”The Art of Computer Programming”, where you find your algorithm described. The entry even gives an explicit formula for the nth term. You decide not to apply for a patent! The OEIS web site includes a list of well over 3000 books and articles that have acknowledged help from the OEIS.
Homepage: http://oeis.org/?language=english
Related Software: SageMath; GAP; Mathematica; DLMF; Maple; Magma; nauty; GitHub; gfun; Sage-Combinat; Macaulay2; MathOverflow; Traces; BinaryTrees; FindStat; PARI/GP; OPQ; AARON; GJsqfree; GJSAW
Cited in: 4,442 Publications
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Cited by 4,873 Authors

101 Mansour, Toufik
58 Shattuck, Mark A.
51 Barry, Paul
37 Sloane, Neil James Alexander
33 Shallit, Jeffrey O.
32 Merca, Mircea
30 Rinaldi, Simone
28 Baril, Jean-Luc
27 Kitaev, Sergey
27 Luca, Florian
24 Ramírez, José Luis
23 Prodinger, Helmut
23 Zeilberger, Doron
22 Ferrari, Luca
22 Shapiro, Louis W.
22 Tenner, Bridget Eileen
21 Ma, Shi-Mei
21 Novelli, Jean-Christophe
20 Belbachir, Hacene
20 Thibon, Jean-Yves
19 Giraudo, Samuele
19 Munagi, Augustine O.
18 Kimberling, Clark H.
18 Munarini, Emanuele
17 Allouche, Jean-Paul Simon
17 Dilcher, Karl
17 Morales, Alejandro Henry
16 Cheon, Gi-Sang
16 Flórez, Rigoberto
16 Pinzani, Renzo
15 Knopfmacher, Arnold
15 Mező, István
15 Pak, Igor
15 Sun, Zhi-Wei
15 Yeh, Yeong-Nan
14 Deutsch, Emeric
14 Došlić, Tomislav
14 Elizalde, Sergi
14 Hetyei, Gábor
14 Hivert, Florent
14 Pudwell, Lara K.
14 Remmel, Jeffrey Brian
14 Sellers, James Allen
13 Billey, Sara C.
13 Ericksen, Larry
13 Eu, Sen-Peng
13 Griffiths, Martin
13 Kirgizov, Sergey
13 Ricci, Paolo Emilio
13 Schork, Matthias
13 Shevelev, Vladimir Samuil
13 Wagner, Stephan G.
12 Bagdasar, Ovidiu Dumitru
12 Barbero, Stefano
12 Callan, David
12 Goy, Taras P.
12 Han, Guo-Niu
12 Murru, Nadir
12 Panova, Greta
12 Pergola, Elisa
12 Rowland, Eric S.
11 Andrews, George Eyre
11 Barcucci, Elena
11 Bényi, Beáta
11 Bernini, Antonio
11 Bouvel, Mathilde
11 Cerruti, Umberto
11 Chen, William Yong-Chuan
11 Janjić, Milan
11 Klavžar, Sandi
11 Komatsu, Takao
11 Marques, Diego
11 Sapounakis, Aristidis
11 Silimbani, Matteo
11 Tóth, László
11 Tsikouras, Panagiotis
11 Vatter, Vincent Russell
11 Yang, Shengliang
10 Baake, Michael
10 Ballantine, Cristina M.
10 Barnabei, Marilena
10 Blecher, Aubrey
10 Bonetti, Flavio
10 Borwein, Jonathan Michael
10 Claesson, Anders
10 Disanto, Filippo
10 Fu, Tung-Shan
10 Gil, Juan B.
10 Marberg, Eric
10 Ruskey, Frank
10 Sondow, Jonathan D.
10 Sun, Yidong
10 Tasoulas, Ioannis
10 Wanless, Ian M.
9 Andrica, Dorin
9 Barequet, Gill
9 Čerin, Zvonko Tomislav
9 Dekking, Frederik Michel
9 Frosini, Andrea
9 Gulliver, Thomas Aaron
...and 4,773 more Authors
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Cited in 556 Serials

1,026 Journal of Integer Sequences
207 Discrete Mathematics
145 The Electronic Journal of Combinatorics
114 Integers
105 European Journal of Combinatorics
94 Journal of Combinatorial Theory. Series A
90 Discrete Applied Mathematics
82 Advances in Applied Mathematics
79 Theoretical Computer Science
67 Linear Algebra and its Applications
56 Journal of Algebraic Combinatorics
53 Annals of Combinatorics
47 Séminaire Lotharingien de Combinatoire
47 The Ramanujan Journal
46 Journal of Number Theory
42 Journal of Algebra
40 Journal of High Energy Physics
37 The Australasian Journal of Combinatorics
36 Graphs and Combinatorics
28 American Mathematical Monthly
28 Advances in Mathematics
28 Journal of Difference Equations and Applications
24 The Fibonacci Quarterly
23 International Journal of Number Theory
22 Mathematics of Computation
22 Proceedings of the American Mathematical Society
22 Transactions of the American Mathematical Society
21 SIAM Journal on Discrete Mathematics
20 Experimental Mathematics
19 Order
18 Applied Mathematics and Computation
17 Information Processing Letters
17 Journal of Symbolic Computation
17 Discrete & Computational Geometry
16 The Mathematical Intelligencer
16 Semigroup Forum
16 Designs, Codes and Cryptography
15 Algorithmica
14 Acta Arithmetica
14 Aequationes Mathematicae
14 Journal of Statistical Mechanics: Theory and Experiment
14 Algebraic Combinatorics
13 Journal of Mathematical Analysis and Applications
13 Journal of Statistical Physics
13 Rocky Mountain Journal of Mathematics
13 Monatshefte für Mathematik
13 Discrete Mathematics and Theoretical Computer Science. DMTCS
13 Journal of Physics A: Mathematical and Theoretical
12 The Mathematical Gazette
12 Mediterranean Journal of Mathematics
12 Applicable Analysis and Discrete Mathematics
12 Ars Mathematica Contemporanea
11 Communications in Mathematical Physics
11 Journal of Mathematical Sciences (New York)
11 Congressus Numerantium
11 The College Mathematics Journal
11 DML. Discrete Mathematics Letters
10 Journal of Pure and Applied Algebra
10 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
10 Journal of Discrete Mathematical Sciences & Cryptography
9 International Journal of Mathematical Education in Science and Technology
9 Journal of Mathematical Biology
9 Journal of Mathematical Physics
9 Chaos, Solitons and Fractals
9 Mathematics Magazine
9 Results in Mathematics
9 Discrete Mathematics, Algorithms and Applications
9 Combinatorial Theory
8 Bulletin of the Australian Mathematical Society
8 Journal of Statistical Planning and Inference
8 Mathematische Zeitschrift
8 Combinatorica
8 Journal de Théorie des Nombres de Bordeaux
8 Filomat
8 Journal of Mathematical Chemistry
8 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
8 SIAM Journal on Applied Algebra and Geometry
8 Electronic Research Archive
7 Nuclear Physics. B
7 Colloquium Mathematicum
7 Czechoslovak Mathematical Journal
7 Applied Mathematics Letters
7 Expositiones Mathematicae
7 Boletín de la Sociedad Matemática Mexicana. Third Series
7 Central European Journal of Mathematics
7 Advances in Difference Equations
7 Mathematics in Computer Science
7 Asian-European Journal of Mathematics
7 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
7 International Journal of Advances in Applied Mathematics and Mechanics
6 Indian Journal of Pure & Applied Mathematics
6 Israel Journal of Mathematics
6 Mathematical Notes
6 Journal of the Korean Mathematical Society
6 Quaestiones Mathematicae
6 Acta Applicandae Mathematicae
6 Elemente der Mathematik
6 Journal of Knot Theory and its Ramifications
6 Turkish Journal of Mathematics
6 Finite Fields and their Applications
...and 456 more Serials
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Cited in 61 Fields

2,433 Combinatorics (05-XX)
1,976 Number theory (11-XX)
474 Computer science (68-XX)
245 Group theory and generalizations (20-XX)
221 Linear and multilinear algebra; matrix theory (15-XX)
201 Special functions (33-XX)
158 Order, lattices, ordered algebraic structures (06-XX)
154 Convex and discrete geometry (52-XX)
145 Probability theory and stochastic processes (60-XX)
129 Associative rings and algebras (16-XX)
123 Quantum theory (81-XX)
120 Algebraic geometry (14-XX)
88 Information and communication theory, circuits (94-XX)
82 Numerical analysis (65-XX)
76 Dynamical systems and ergodic theory (37-XX)
67 Operations research, mathematical programming (90-XX)
67 Biology and other natural sciences (92-XX)
66 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
61 Nonassociative rings and algebras (17-XX)
60 Commutative algebra (13-XX)
60 Statistical mechanics, structure of matter (82-XX)
58 General and overarching topics; collections (00-XX)
52 Geometry (51-XX)
49 Real functions (26-XX)
45 Functions of a complex variable (30-XX)
44 Manifolds and cell complexes (57-XX)
42 Category theory; homological algebra (18-XX)
42 Harmonic analysis on Euclidean spaces (42-XX)
39 Mathematical logic and foundations (03-XX)
37 Sequences, series, summability (40-XX)
34 Difference and functional equations (39-XX)
33 Ordinary differential equations (34-XX)
33 Statistics (62-XX)
31 Approximations and expansions (41-XX)
29 Integral transforms, operational calculus (44-XX)
24 Algebraic topology (55-XX)
23 History and biography (01-XX)
23 Mathematics education (97-XX)
21 Functional analysis (46-XX)
21 Differential geometry (53-XX)
20 Field theory and polynomials (12-XX)
20 General topology (54-XX)
19 Relativity and gravitational theory (83-XX)
18 Partial differential equations (35-XX)
15 Measure and integration (28-XX)
14 Topological groups, Lie groups (22-XX)
14 Systems theory; control (93-XX)
12 General algebraic systems (08-XX)
12 Operator theory (47-XX)
11 Mechanics of particles and systems (70-XX)
10 Global analysis, analysis on manifolds (58-XX)
8 Several complex variables and analytic spaces (32-XX)
5 Integral equations (45-XX)
4 Calculus of variations and optimal control; optimization (49-XX)
4 Fluid mechanics (76-XX)
3 \(K\)-theory (19-XX)
3 Abstract harmonic analysis (43-XX)
1 Potential theory (31-XX)
1 Mechanics of deformable solids (74-XX)
1 Optics, electromagnetic theory (78-XX)
1 Classical thermodynamics, heat transfer (80-XX)

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