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

• Published in 2011
• Added on 2013-10-17

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.

Links

• http://arxiv.org/abs/1101.4470
• http://arxiv.org/pdf/1101.4470v2

Other information

BibTeX entry

@article{Gauvrit2011,
	key = {Gauvrit2011},
	type = {article},
	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},
	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 = {},
	date_added = {2013-10-17},
	date_published = {2011-01-01},
	urls = {http://arxiv.org/abs/1101.4470,http://arxiv.org/pdf/1101.4470v2},
	collections = {Easily explained,Probability and statistics,The act of doing maths,Integerology},
	url = {http://arxiv.org/abs/1101.4470 http://arxiv.org/pdf/1101.4470v2},
	urldate = {2013-10-17},
	month = {jan},
	year = 2011,
	archivePrefix = {arXiv},
	eprint = {1101.4470},
	primaryClass = {math.PR}
}