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The On-Line Encyclopedia of Integer Sequences
Abstract
The On-Line Encyclopedia of Integer Sequences (or OEIS) is a database of some 130000 number sequences. It is freely available on the Web (http://www.research.att.com/~njas/sequences/) and is widely used. There are several ways in which it benefits research: 1 It serves as a dictionary, to tell the user what is known about a particular sequence. There are hundreds of papers which thank the OEIS for assistance in this way. 1 The associated Sequence Fans mailing list is a worldwide network which has evolved into a powerful machine for tackling new problems. 1 As a direct source of new theorems, when a sequence arises in two different contexts. 1 As a source of new research, when one sees a sequence in the OEIS that cries out to be analyzed. The 40-year history of the OEIS recapitulates the story of modern computing, from punched cards to the internet. The talk will be illustrated with numerous examples, emphasizing new sequences that have arrived in the past few months. Many open problems will be mentioned. Because of the profusion of books and journals, volunteers play an important role in maintaining the database. If you come across an interesting number sequence in a book, journal or web site, please send it and the reference to the OEIS. (You do not need to be the author of the sequence to do this.) There is a web site for sending in "Comments" or "New sequences". Several new features have been added to the OEIS in the past year. Thanks to the work of Russ Cox, searches are now performed at high speed, and thanks to the work of Debby Swayne, there is a button which displays plots of each sequence. Finally, a "listen" button enables one to hear the sequence played on a musical instrument (try Recamaan's sequence A005132!).
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In the citing paper
“This is the well-known ruler sequence, which is sequence A007814 in Sloane's Encyclopedia [9].”
From Avoiding squares and overlaps over the natural numbers (2009) · cites this paper as [9]
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Citations
Cited by
Using the Student's t-test with extremely small sample sizes
de Winter, J. C. F. (2013) · University of Massachusetts Amherst · doi:10.7275/e4r6-dj05 · Cited by 992
Matrix product states represent ground states faithfully
Verstraete, F., & Cirac, J. I. (2006) · Physical Review B · doi:10.1103/physrevb.73.094423 · Cited by 730
A modified split-radix fft with fewer arithmetic operations
Johnson, S. G., & Frigo, M. (2007) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2006.882087 · Cited by 380
Avoiding squares and overlaps over the natural numbers
Guay-Paquet, M., & Shallit, J. (2009) · Discrete Mathematics · doi:10.1016/j.disc.2009.06.004 · Cited by 13
Avoiding 5/4-Powers on the Alphabet of Nonnegative Integers
Rowland, E., & Stipulanti, M. (2020) · The Electronic Journal of Combinatorics · doi:10.37236/9581 · Cited by 3
Metadata
- Authors
- Sloane, N. J. A.
- Venue
- Lecture Notes in Computer Science
- Publisher
- Springer Berlin Heidelberg
- Published
- 2007-08-14
- Pages
- 130-130
- ISSN
- 0302-9743 (ISSN-L)
- 1611-3349
- OpenAlex
- W2126209209
- Cited by
- 3,225
- References
- 0
- Type
- conference abstract
- Language
- en
- Open access
- closed
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- Sloane, N. J. A. (2007). The On-Line Encyclopedia of Integer Sequences. Lecture Notes in Computer Science. https://doi.org/10.1007/978-3-540-73086-6_12
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
