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

Authors
  • Gauvrit, Nicolas
  • Delahaye, Jean-Paul
  • Zenil, Hector
Type
Preprint
Publication Date
Jun 01, 2011
Submission Date
Jan 24, 2011
Source
arXiv
License
Yellow
External links

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.

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