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.

A113546 Let S(n)=sigma(n)/3. Numbers k such that S(S(k))=k, 1/3-sociable number of order 1 or 2.

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%I A113546 #40 Feb 16 2025 08:32:59
%S A113546 120,672,7680,8184,523776,1100190,1124352,14913024,16149760,459818240,
%T A113546 775898880,874897408,1476304896,51001180160
%N A113546 Let S(n)=sigma(n)/3. Numbers k such that S(S(k))=k, 1/3-sociable number of order 1 or 2.
%C A113546 a(1), a(2), a(5) and a(10) are 3-perfect numbers (A005820). [Corrected by _Mauro Fiorentini_, Jul 21 2015]
%C A113546 a(4) = S(a(3)).
%C A113546 a(15) > 1.5*10^11. - _Giovanni Resta_, Jul 21 2015
%H A113546 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/SociableNumbers.html">Sociable Numbers</a>
%o A113546 (PARI) isok(n) = (type(s=sigma(n)/3) == "t_INT") && (sigma(s)/3 == n); \\ _Michel Marcus_, Feb 20 2014
%Y A113546 A005820 is a subsequence.
%Y A113546 Cf. A113286 (1/4-sociable numbers of order 1 or 2).
%K A113546 nonn,more
%O A113546 1,1
%A A113546 _Yasutoshi Kohmoto_, Jan 27 2006
%E A113546 a(6)-a(9) from _Michel Marcus_, Feb 20 2014
%E A113546 a(10)-a(12) from _Michel Marcus_, Feb 24 2014
%E A113546 a(13)-a(14) from _Giovanni Resta_, Jul 22 2015