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arXiv:1101.4470math.PR

Sloane's Gap. Mathematical and Social Factors Explain the Distribution of Numbers in the OEIS

Nicolas Gauvrit, Jean-Paul Delahaye, Hector Zenil

Abstract

The Online Encyclopedia of Integer Sequences (OEIS) is made up of thousands of numerical sequences considered particularly interesting by some mathematicians. The graphic representation of the frequency with which a number n as a function of n appears in that database shows that the underlying function decreases fast, and that the points are distributed in a cloud, seemingly split into two by a clear zone that will be referred to here as "Sloane's Gap". The decrease and general form are explained by mathematics, but an explanation of the gap requires further considerations.

arXiv comments
Journal reference
DOI
Subjects
math.PRProbability

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Linked by 3 identifiable commenters in 4 comments across 4 threads, from Oct 2013 to Oct 2019. Found in 1 HN submission from Oct 2013 to Oct 2013. Open submission discussions.

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Discussed in comments4 threads

  1. The On-Line Encyclopedia of Integer Sequences 1 comment

    • When you plot the "importance" N(n) of the positive integers, where N(n) = The number of occurrences of n in the OEIS an interesting anomaly appears[1]. The "importance" of the integers fall into two clusters, separated by Sloane's Gap[2][3]. Also, Neil Sloane appeared[4]…

      pdkl95View on HNParent context

  2. The On-Line Encyclopedia of Integer Sequences [pdf] 1 comment

    • That first "rejected" sequence is actually pretty close to something quiet interesting. https://arxiv.org/pdf/1101.4470.pdf

      gizmo686View on HNParent context

  3. Pictures from the On-Line Encyclopedia of Integer Sequences 1 comment

    • My favorite OEIS-related picture is Sloane's Gap. http://arxiv.org/abs/1101.4470 Numberphile has a video about it: https://www.youtube.com/watch?v=_YysNM2JoFo

      pdkl95View on HNParent context

  4. The On-Line Encyclopedia of Integer Sequences 1 comment

    • If you make a plot of how many different sequences a particular number appears in in this database, a rather interesting pattern emerges. Some numbers appear frequently, as you would expect (primes, numbers 1 off from prime, etc) while others appear infrequently, but in general…

      jlgrecoView on HNParent context

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