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.

References in zbMATH (referenced in 2990 articles , 7 standard articles )

Showing results 1 to 20 of 2990.
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  1. Cai, Fangfang; Hou, Qing-Hu; Sun, Yidong; Yang, Arthur L. B.: Combinatorial identities related to (2 \times2) submatrices of recursive matrices (2020)
  2. Campbell, John M.; D’Aurizio, Jacopo; Sondow, Jonathan: Hypergeometry of the parbelos (2020)
  3. Frati, Fabrizio; Patrignani, Maurizio; Roselli, Vincenzo: LR-drawings of ordered rooted binary trees and near-linear area drawings of outerplanar graphs (2020)
  4. Jelínek, Vít; Kantor, Ida; Kynčl, Jan; Tancer, Martin: On the growth of the Möbius function of permutations (2020)
  5. Spaen, Quico; Thraves Caro, Christopher; Velednitsky, Mark: The dimension of valid distance drawings of signed graphs (2020)
  6. Acosta, Jarib R.; Caicedo, Yadira; Poveda, Juan P.; Ramírez, José L.; Shattuck, Mark: Some new restricted (n)-color composition functions (2019)
  7. Ahmia, Moussa; Belbachir, Hacène: (Q)-total positivity and strong (q)-log-convexity for some generalized triangular arrays (2019)
  8. Akgün, Özgür; Gent, Ian; Kitaev, Sergey; Zantema, Hans: Solving computational problems in the theory of word-representable graphs (2019)
  9. Alexandersson, Per; Jordan, Linus: Enumeration of border-strip decompositions and Weil-Petersson volumes (2019)
  10. Alexandersson, Per; Linusson, Svante; Potka, Samu: The cyclic sieving phenomenon on circular Dyck paths (2019)
  11. Álvarez, V.; Armario, J. A.; Falcón, R. M.; Frau, M. D.; Gudiel, F.; Güemes, M. B.; Osuna, A.: Generating binary partial Hadamard matrices (2019)
  12. Alzer, Horst: On Engel’s inequality for Bell numbers (2019)
  13. Amano, Kazuyuki; Haruyama, Yoshinobu: On the number of p4-tilings by an (n)-omino (2019)
  14. Amato, Gianluca; Hasler, Maximilian F.; Melfi, Giuseppe; Parton, Maurizio: Primitive abundant and weird numbers with many prime factors (2019)
  15. Anderson, Nicole; Breunig, Michael; Goryl, Kyle; Lewis, Hannah; Riehl, Manda; Scanlan, McKenzie: Properties of RNA secondary structure matching models (2019)
  16. Archer, Kassie; Gregory, Adam; Pennington, Bryan; Slayden, Stephanie: Pattern restricted quasi-Stirling permutations (2019)
  17. Archibald, Margaret; Blecher, Aubrey; Knopfmacher, Arnold: Distinct (r)-tuples in integer partitions (2019)
  18. Aronov, Boris; Dujmović, Vida; Morin, Pat; Ooms, Aurélien; Schultz Xavier da Silveira, Luís Fernando: More Turán-type theorems for triangles in convex point sets (2019)
  19. Auli, Juan S.; Elizalde, Sergi: Consecutive patterns in inversion sequences. II: Avoiding patterns of relations (2019)
  20. Bajorska-Harapińska, Beata; Smoleń, Barbara; Wituła, Roman: On quaternion equivalents for quasi-Fibonacci numbers, shortly quaternaccis (2019)

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