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 2397 articles , 7 standard articles )

Showing results 1 to 20 of 2397.
Sorted by year (citations)

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  1. Bevan, David; Homberger, Cheyne; Tenner, Bridget Eileen: Prolific permutations and permuted packings: downsets containing many large patterns (2018)
  2. Castro, Francis N.; González, Oscar E.; Medina, Luis A.: Generalized exponential sums and the power of computers (2018)
  3. Feltrin, Guglielmo: Positive subharmonic solutions to superlinear ODEs with indefinite weight (2018)
  4. Mu, Yan-Ping; Sun, Zhi-Wei: Telescoping method and congruences for double sums (2018)
  5. Rubinchik, Mikhail; Shur, Arseny M.: EERTREE: an efficient data structure for processing palindromes in strings (2018)
  6. Wilson, A.T.: Torus link homology and the nabla operator (2018)
  7. Adamyk, K.L.M.; Holmes, E.; Mayfield, G.R.; Moritz, D.J.; Scheepers, M.; Tenner, B.E.; Wauck, H.C.: Sorting permutations: games, genomes, and cycles (2017)
  8. Alexeev, Nikita; Tikhomirov, Alexander: Singular values distribution of squares of elliptic random matrices and type B Narayana polynomials (2017)
  9. Alkauskas, Giedrius: The modular group and words in its two generators (2017)
  10. Alm, Jeremy F.: 401 and beyond: improved bounds and algorithms for the Ramsey algebra search (2017)
  11. Amburg, Ilya; Dasaratha, Krishna; Flapan, Laure; Garrity, Thomas; Lee, Chansoo; Mihaila, Cornelia; Neumann-Chun, Nicholas; Peluse, Sarah; Stoffregen, Matthew: Stern sequences for a family of multidimensional continued fractions: TRIP-Stern sequences (2017)
  12. Amoud, Ammar; Bultel, Jean-Paul; Chouria, Ali; Luque, Jean-Gabriel; Mallet, Olivier: Word Bell polynomials (2017)
  13. Apagodu, Moa; Applegate, David; Sloane, N.J.A.; Zeilberger, Doron: Analysis of the gift exchange problem (2017)
  14. Ayyer, Arvind; Prasad, Amritanshu; Spallone, Steven: Representations of symmetric groups with non-trivial determinant (2017)
  15. Balchin, Scott; Rust, Dan: Computations for symbolic substitutions (2017)
  16. Ballantine, Cristina; Merca, Mircea: New convolutions for the number of divisors (2017)
  17. Ballot, Christian: On functions expressible as words on a pair of Beatty sequences (2017)
  18. Baril, Jean-Luc; Kirgizov, Sergey: The pure descent statistic on permutations (2017)
  19. Baril, Jean-Luc; Kirgizov, Sergey; Vajnovszki, Vincent: Patterns in treeshelves (2017)
  20. Bašić, Bojan: The existence of $n$-flimsy numbers in a given base (2017)

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