Interesting Esoterica

Sloane's Gap: Do Mathematical and Social Factors Explain the Distribution of Numbers in the OEIS?

Article by Gauvrit, Nicolas and Delahaye, Jean-Paul and Zenil, Hector
  • Published in 2011
  • Added on
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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BibTeX entry

@article{Gauvrit2011,
	title = {Sloane's Gap: Do Mathematical and Social Factors Explain the Distribution of Numbers in the OEIS?},
	author = {Gauvrit, Nicolas and Delahaye, Jean-Paul and Zenil, Hector},
	url = {http://arxiv.org/abs/1101.4470 http://arxiv.org/pdf/1101.4470v2},
	urldate = {2013-10-17},
	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.},
	comment = {},
	month = {jan},
	year = 2011,
	archivePrefix = {arXiv},
	eprint = {1101.4470},
	primaryClass = {math.PR},
	collections = {Easily explained,Probability and statistics,The act of doing maths}
}