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 3084 articles , 7 standard articles )

Showing results 1 to 20 of 3084.
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  1. Agoh, Takashi: On generalized Euler numbers and polynomials related to values of the Lerch zeta function (2020)
  2. Asinowski, Andrei; Bacher, Axel; Banderier, Cyril; Gittenberger, Bernhard: Analytic combinatorics of lattice paths with forbidden patterns, the vectorial kernel method, and generating functions for pushdown automata (2020)
  3. Au, Yu Hin (Gary); Bagherzadeh, Fatemeh; Bremner, Murray R.: Enumeration and asymptotic formulas for rectangular partitions of the hypercube (2020)
  4. Bača, M.; López, S. C.; Muntaner-Batle, F. A.; Semaničová-Feňovčíková, A.: New constructions for the (n)-queens problem (2020)
  5. Belbachir, Hacène; Igueroufa, Oussama: Congruence properties for (\mathrmbi^s)nomial coefficients and like extended Ram and Kummer theorems under suitable hypothesis (2020)
  6. Bousquet-Mélou, Mireille; Price, Andrew Elvey: The generating function of planar Eulerian orientations (2020)
  7. Braun, Benjamin; Davis, Brian: Antichain simplices (2020)
  8. Bravo, Jhon J.; Herrera, Jose L.; Ramírez, José L.: Combinatorial interpretation of generalized Pell numbers (2020)
  9. Cai, Fangfang; Hou, Qing-Hu; Sun, Yidong; Yang, Arthur L. B.: Combinatorial identities related to (2 \times2) submatrices of recursive matrices (2020)
  10. Campbell, John M.; D’Aurizio, Jacopo; Sondow, Jonathan: Hypergeometry of the parbelos (2020)
  11. Cerbai, Giulio; Cioni, Lapo; Ferrari, Luca: Stack sorting with increasing and decreasing stacks (2020)
  12. Cerbai, Giulio; Claesson, Anders; Ferrari, Luca: Stack sorting with restricted stacks (2020)
  13. Chauve, Cedric; Ponty, Yann; Wallner, Michael: Counting and sampling gene family evolutionary histories in the duplication-loss and duplication-loss-transfer models (2020)
  14. Chikhi, Rayan; Jovičić, Vladan; Kratsch, Stefan; Medvedev, Paul; Milanič, Martin; Raskhodnikova, Sofya; Varma, Nithin: Bipartite graphs of small readability (2020)
  15. Chudnovsky, Maria; Goedgebeur, Jan; Schaudt, Oliver; Zhong, Mingxian: Obstructions for three-coloring graphs without induced paths on six vertices (2020)
  16. Clausen, Michael: Linear time Fourier transforms of (S_n-k)-invariant functions on the symmetric group (S_n) (2020)
  17. Durell, Cassandra; Forcey, Stefan: Level-1 phylogenetic networks and their balanced minimum evolution polytopes (2020)
  18. Durham, Samuel; Richmond, Tom: Connected subsets of an (n\times2) rectangle (2020)
  19. Feuilloley, Laurent: How long it takes for an ordinary node with an ordinary id to output? (2020)
  20. Frati, Fabrizio; Patrignani, Maurizio; Roselli, Vincenzo: LR-drawings of ordered rooted binary trees and near-linear area drawings of outerplanar graphs (2020)

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