cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A113286 Numbers k such that S(S(k))=k, with S(n)=sigma(n)/4: 1/4-sociable numbers of order 1 or 2.

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%I A113286 #32 Feb 16 2025 08:32:59
%S A113286 30240,32760,859320,898560,2096640,2178540,2234232,23569920,45532800,
%T A113286 54996480,61281792,142990848,422688000,436205952,1379454720
%N A113286 Numbers k such that S(S(k))=k, with S(n)=sigma(n)/4: 1/4-sociable numbers of order 1 or 2.
%C A113286 a(1) and a(2) are 4-perfect numbers (A027687). a(4) = S(a(3)).
%C A113286 a(6), a(8), a(9), a(12), and a(15) are also 4-perfect numbers (A027687). - _Michel Marcus_, Feb 23 2014
%H A113286 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/SociableNumbers.html">Sociable Numbers</a>
%o A113286 (PARI) isok(n) = (type(s= sigma(n)/4) == "t_INT") && (sigma(s)/4 == n); \\ _Michel Marcus_, Feb 20 2014
%Y A113286 A027687 is a subsequence.
%Y A113286 Cf. A113546 (1/3-sociable numbers).
%Y A113286 Cf. A355279 (1/4-sociable numbers of order 1 or 3).
%K A113286 nonn,more
%O A113286 1,1
%A A113286 _Yasutoshi Kohmoto_, Jan 27 2006
%E A113286 a(5)-a(15) added by _Michel Marcus_, Feb 24 2014