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OEIS

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; Mathematica; GAP; DLMF; Maple; Magma; GitHub; nauty; gfun; MathOverflow; Sage-Combinat; Macaulay2; Traces; Walnut; BinaryTrees; PARI/GP; SIGMA; FindStat; R; HERB
Cited in: 5,384 Documents
all top 5

Cited by 5,874 Authors

108 Mansour, Toufik
65 Shattuck, Mark A.
53 Barry, Paul
46 Shallit, Jeffrey Outlaw
38 Merca, Mircea
38 Sloane, Neil James Alexander
35 Baril, Jean-Luc
33 Ramírez, José Luis
32 Rinaldi, Simone
31 Kitaev, Sergey
31 Prodinger, Helmut
29 Luca, Florian
26 Zeilberger, Doron
25 Novelli, Jean-Christophe
24 Ma, Shi-Mei
24 Sun, Zhi-Wei
24 Tenner, Bridget Eileen
23 Thibon, Jean-Yves
22 Belbachir, Hacene
22 Ferrari, Luca
22 Giraudo, Samuele
22 Komatsu, Takao
22 Shapiro, Louis W.
21 Ballantine, Cristina M.
21 Munagi, Augustine O.
20 Morales, Alejandro Henry
19 Dilcher, Karl
19 Kimberling, Clark H.
19 Munarini, Emanuele
18 Allouche, Jean-Paul Simon
18 Pinzani, Renzo
18 Soykan, Yüksel
18 Yang, Shengliang
17 Došlić, Tomislav
17 Flórez, Rigoberto
17 Goy, Taras P.
17 Yeh, Yeong-Nan
16 Cheon, Gi-Sang
16 Claesson, Anders
16 Elizalde, Sergi
16 He, Tian-Xiao
16 Kirgizov, Sergey
16 Knopfmacher, Arnold
16 Mező, István
16 Pak, Igor
16 Sellers, James Allen
15 Andrews, George Eyre
15 Bényi, Beáta
15 Callan, David
15 Deutsch, Emeric
15 Eu, Sen-Peng
15 Hetyei, Gábor
15 Hivert, Florent
15 Pudwell, Lara K.
15 Schork, Matthias
15 Wagner, Stephan G.
14 Barequet, Gill
14 Billey, Sara C.
14 Bouvel, Mathilde
14 Gil, Juan B.
14 Han, Guo-Niu
14 Lin, Zhicong
14 Remmel, Jeffrey Brian
14 Rowland, Eric S.
14 Yang, Lin
13 Barbero, Stefano
13 Barcucci, Elena
13 Bernini, Antonio
13 Ericksen, Larry
13 Griffiths, Martin
13 Murru, Nadir
13 Ricci, Paolo Emilio
13 Shevelev, Vladimir Samuil
13 Silimbani, Matteo
13 Sun, Yidong
13 Tóth, László
12 Bagdasar, Ovidiu Dumitru
12 Barnabei, Marilena
12 Bonetti, Flavio
12 Campbell, John Maxwell
12 Cerruti, Umberto
12 Chen, William Yong-Chuan
12 Defant, Colin
12 Dekking, Frederik Michel
12 Marberg, Eric
12 Németh, László
12 Panova, Greta
12 Pergola, Elisa
12 Pongsriiam, Prapanpong
12 Rampersad, Narad
12 Sapounakis, Aristidis
12 Sokal, Alan D.
12 Tasoulas, Ioannis
12 Togbé, Alain
12 Zeng, Jiang
12 Zhu, Baoxuan
11 Asinowski, Andrei
11 Blecher, Aubrey
11 Frosini, Andrea
11 Fu, Tung-Shan
...and 5,774 more Authors
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Cited in 618 Serials

1,099 Journal of Integer Sequences
236 Discrete Mathematics
176 The Electronic Journal of Combinatorics
127 Integers
120 Journal of Combinatorial Theory. Series A
116 European Journal of Combinatorics
109 Advances in Applied Mathematics
99 Discrete Applied Mathematics
93 Theoretical Computer Science
81 Linear Algebra and its Applications
65 Séminaire Lotharingien de Combinatoire
62 Annals of Combinatorics
61 Journal of Algebraic Combinatorics
55 Journal of Number Theory
54 The Ramanujan Journal
53 Journal of High Energy Physics
50 Journal of Algebra
46 The Australasian Journal of Combinatorics
41 Graphs and Combinatorics
38 The Fibonacci Quarterly
36 American Mathematical Monthly
36 Journal of Difference Equations and Applications
33 Journal of Physics A: Mathematical and Theoretical
32 Advances in Mathematics
31 Enumerative Combinatorics and Applications
28 Mathematics of Computation
28 Experimental Mathematics
27 Proceedings of the American Mathematical Society
26 International Journal of Number Theory
25 Order
25 SIAM Journal on Discrete Mathematics
23 Transactions of the American Mathematical Society
22 Discrete & Computational Geometry
21 Journal of Symbolic Computation
20 The Mathematical Intelligencer
20 Quaestiones Mathematicae
20 Discrete Mathematics and Theoretical Computer Science. DMTCS
20 Algebraic Combinatorics
19 Journal of Mathematical Analysis and Applications
19 Applied Mathematics and Computation
18 Information Processing Letters
18 Aequationes Mathematicae
17 Monatshefte für Mathematik
17 Semigroup Forum
17 Algorithmica
17 Designs, Codes and Cryptography
17 Journal of Statistical Mechanics: Theory and Experiment
16 International Journal of Advances in Applied Mathematics and Mechanics
16 Combinatorial Theory
15 Mathematics Magazine
15 Mediterranean Journal of Mathematics
15 The College Mathematics Journal
14 Journal of Statistical Physics
14 Rocky Mountain Journal of Mathematics
14 Acta Arithmetica
13 The Mathematical Gazette
13 Journal of Mathematical Sciences (New York)
13 Applicable Analysis and Discrete Mathematics
13 Ars Mathematica Contemporanea
13 DML. Discrete Mathematics Letters
12 Communications in Mathematical Physics
12 Journal of Pure and Applied Algebra
12 Results in Mathematics
11 Bulletin of the Australian Mathematical Society
11 Indian Journal of Pure & Applied Mathematics
11 Journal of Mathematical Physics
11 Mathematische Zeitschrift
11 Journal of Knot Theory and its Ramifications
11 Congressus Numerantium
11 Journal of Discrete Mathematical Sciences & Cryptography
11 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
11 Discrete Mathematics, Algorithms and Applications
10 International Journal of Mathematical Education in Science and Technology
10 Journal of Mathematical Biology
10 Nuclear Physics. B
10 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
10 Boletín de la Sociedad Matemática Mexicana. Third Series
10 SIAM Journal on Applied Algebra and Geometry
10 Electronic Research Archive
9 Chaos, Solitons and Fractals
9 Random Structures & Algorithms
9 Computational Geometry
9 Journal de Théorie des Nombres de Bordeaux
9 Finite Fields and their Applications
9 Journal of Mathematical Chemistry
9 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
9 Involve
9 Asian-European Journal of Mathematics
9 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
9 The Art of Discrete and Applied Mathematics
8 Journal of Statistical Planning and Inference
8 Expositiones Mathematicae
8 Filomat
8 Journal of Mathematics and the Arts
8 Journal of Mathematics and Music
8 RAIRO. Theoretical Informatics and Applications
8 PUMP Journal of Undergraduate Research
8 Prikladnaya Diskretnaya Matematika
7 Israel Journal of Mathematics
7 Linear and Multilinear Algebra
...and 518 more Serials
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Cited in 62 Fields

2,967 Combinatorics (05-XX)
2,347 Number theory (11-XX)
587 Computer science (68-XX)
297 Group theory and generalizations (20-XX)
272 Linear and multilinear algebra; matrix theory (15-XX)
237 Special functions (33-XX)
207 Convex and discrete geometry (52-XX)
204 Order, lattices, ordered algebraic structures (06-XX)
190 Probability theory and stochastic processes (60-XX)
159 Associative rings and algebras (16-XX)
158 Quantum theory (81-XX)
153 Algebraic geometry (14-XX)
101 Information and communication theory, circuits (94-XX)
95 Numerical analysis (65-XX)
94 Dynamical systems and ergodic theory (37-XX)
88 Commutative algebra (13-XX)
88 Statistical mechanics, structure of matter (82-XX)
85 Operations research, mathematical programming (90-XX)
85 Biology and other natural sciences (92-XX)
80 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
74 Nonassociative rings and algebras (17-XX)
70 Geometry (51-XX)
69 General and overarching topics; collections (00-XX)
59 Functions of a complex variable (30-XX)
59 Manifolds and cell complexes (57-XX)
57 Real functions (26-XX)
56 Category theory; homological algebra (18-XX)
53 Mathematical logic and foundations (03-XX)
49 Statistics (62-XX)
47 Difference and functional equations (39-XX)
46 Harmonic analysis on Euclidean spaces (42-XX)
43 Ordinary differential equations (34-XX)
43 Sequences, series, summability (40-XX)
38 Approximations and expansions (41-XX)
32 Integral transforms, operational calculus (44-XX)
31 Functional analysis (46-XX)
30 Algebraic topology (55-XX)
29 History and biography (01-XX)
26 Mathematics education (97-XX)
25 Field theory and polynomials (12-XX)
25 Relativity and gravitational theory (83-XX)
23 Partial differential equations (35-XX)
22 Differential geometry (53-XX)
22 General topology (54-XX)
20 Measure and integration (28-XX)
19 Operator theory (47-XX)
18 Topological groups, Lie groups (22-XX)
16 Systems theory; control (93-XX)
14 General algebraic systems (08-XX)
14 Mechanics of particles and systems (70-XX)
12 Global analysis, analysis on manifolds (58-XX)
11 Several complex variables and analytic spaces (32-XX)
7 Abstract harmonic analysis (43-XX)
6 Integral equations (45-XX)
6 Fluid mechanics (76-XX)
5 \(K\)-theory (19-XX)
5 Calculus of variations and optimal control; optimization (49-XX)
2 Potential theory (31-XX)
2 Optics, electromagnetic theory (78-XX)
2 Classical thermodynamics, heat transfer (80-XX)
1 Mechanics of deformable solids (74-XX)
1 Geophysics (86-XX)

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