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

Sloane's Gap. Mathematical and Social Factors Explain the Distribution of Numbers in the OEIS — mentioned by pdkl95

Sun, 27 Oct 2019 09:22:20 GMT

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] several times on Numberphile. In the last few videos of that[4] playlist ("Amazing Graphs"), Sloane shares some of the particularly interesting sequences from the OEIS. [1] https://i.stack.imgur.com/vcNYb.png [2] https://arxiv.org/abs/1101.4470v2 [3] https://www.youtube.com/watch?v=_YysNM2JoFo [4]…

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Sloane's Gap. Mathematical and Social Factors Explain the Distribution of Numbers in the OEIS — mentioned by gizmo686

Wed, 19 Sep 2018 03:38:05 GMT

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

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Sloane's Gap. Mathematical and Social Factors Explain the Distribution of Numbers in the OEIS — mentioned by pdkl95

Wed, 18 May 2016 10:29:57 GMT

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

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

Thu, 31 Oct 2013 23:46:11 GMT

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 there is a downward trend as the numbers become larger. That is all expected; what isn't expected is that there seems to be a break between common numbers and uncommon numbers. A very distinct break. The theory is that social prejudices towards certain bases and certain numbers have caused mathematicians to find more…

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

Sat, 19 Oct 2013 06:00:42 GMT

Sloane's Gap.

1 point; 1 discussion reply on HN. Paper and source history. A submission is not an endorsement.