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.

A181949 Weighted sum of all cyclic subgroups of the Symmetric Group.

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%I A181949 #10 Jul 03 2018 02:25:11
%S A181949 1,3,10,43,231,1531,11068,89895,820543,8484871,95647476,1186289083,
%T A181949 15648402355,221728356123,3354790995676,53999879550991,
%U A181949 936289020367263,17163114699673615,328827078340587148,6630244432204704771,139769193881466850051,3092293682224076627683
%N A181949 Weighted sum of all cyclic subgroups of the Symmetric Group.
%C A181949 Sum of the orders of all cyclic subgroups of the Sym_n.
%C A181949 The identity permutation is counted for each subgroup, i.e. A051625(n) times.
%C A181949 Each permutation is counted several times according to its conjugacy class.
%F A181949 a(n) = Sum_{k=1..A000793(n)} k*A074881(n, k). - _Andrew Howroyd_, Jul 02 2018
%e A181949 a(4) = 1*1 + 2*3 + 2*6 + 3*4 + 4*3 = 1+6+12+12+12 = 43.
%Y A181949 Cf. A000793, A051625, A074881.
%K A181949 nonn,easy
%O A181949 1,2
%A A181949 _Olivier Gérard_, Apr 03 2012
%E A181949 a(9)-a(22) from _Andrew Howroyd_, Jul 02 2018