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 3921 articles , 8 standard articles )

Showing results 1 to 20 of 3921.
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  1. Acan, Hüseyin; Chakraborty, Sankardeep; Jo, Seungbum; Satti, Srinivasa Rao: Succinct encodings for families of interval graphs (2021)
  2. Acu, Ana-Maria; Buscu, Ioan Cristian; Rasa, Ioan: A sequence of Appell polynomials and the associated Jakimovski-Leviatan operators (2021)
  3. Agoh, Takashi: A new property of Appell sequences and its application (2021)
  4. Agoh, Takashi; Alzer, Horst: Mean value inequalities for Motzkin numbers (2021)
  5. Ahmed, Chwas; Martin, Paul; Mazorchuk, Volodymyr: On the number of principal ideals in (d)-tonal partition monoids (2021)
  6. Ahmia, Moussa; Rezig, Boualam: Two-Motzkin-like numbers and Stieltjes moment sequences (2021)
  7. Alexandersson, Per; González-Serrano, Luis Angel; Maximenko, Egor A.; Moctezuma-Salazar, Mario Alberto: Symmetric polynomials in the symplectic alphabet and the change of variables (z_j = x_j + x_j^-1) (2021)
  8. Alkan, Altug; Booker, Andrew R.; Luca, Florian: On a recursively defined sequence involving the prime counting function (2021)
  9. Allen, Edward E.; Riley, Katherine; Weselcouch, Michael: Multivariable Lucas polynomials and lucanomials (2021)
  10. Allouche, J.-P.: The zeta-regularized product of odious numbers (2021)
  11. Allouche, J.-P.; Han, G.-N.; Shallit, J.: On some conjectures of P. Barry (2021)
  12. AL-Tarimshawy, Ali Sltan Ali; Siemons, J.: Singular graphs with dihedral group action (2021)
  13. Anderson, Gradin; Humphries, Stephen P.; Nicholson, Nathan: Strong Gelfand pairs of symmetric groups (2021)
  14. Andrica, Dorin; Bagdasar, Ovidiu: On some new arithmetic properties of the generalized Lucas sequences (2021)
  15. Andrica, Dorin; Bagdasar, Ovidiu: On (k)-partitions of multisets with equal sums (2021)
  16. Apostolakis, Nikos: Non-crossing trees, quadrangular dissections, ternary trees, and duality-preserving bijections (2021)
  17. Archibald, Margaret; Blecher, Aubrey; Knopfmacher, Arnold: Alphabetic points in compositions and words (2021)
  18. Asgarli, Shamil; Freidin, Brian: On the proportion of transverse-free plane curves (2021)
  19. Askgaard, Jens: On the additive period length of the Sprague-Grundy function of certain Nim-like games (2021)
  20. Auli, Juan S.; Elizalde, Sergi: Wilf equivalences between vincular patterns in inversion sequences (2021)

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