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.

A181955 Weighted sum of all cyclic subgroups of prime order in the Alternating group.

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%I A181955 #15 Jul 03 2018 16:57:27
%S A181955 0,0,3,18,90,390,2205,10878,45318,256350,5530305,55869330,865551258,
%T A181955 9892489698,78223384785,470010394350,24530527675230,409760923017198,
%U A181955 10595007772540113,160826214447439770,1585844008081570650,16787211082925012730,1362379219330719093273
%N A181955 Weighted sum of all cyclic subgroups of prime order in the Alternating group.
%C A181955 Sum of p for all p-subgroups in Alt_n.
%H A181955 Andrew Howroyd, <a href="/A181955/b181955.txt">Table of n, a(n) for n = 1..200</a>
%F A181955 a(n) = A181954(n) - 2*A001465(n). - _Andrew Howroyd_, Jul 03 2018
%o A181955 (PARI) a(n)={sum(p=2, n, if(isprime(p), sum(k=1, n\p, if(p>2||k%2==0, n!/(k!*(n-k*p)!*p^k)))*p/(p-1)))} \\ _Andrew Howroyd_, Jul 03 2018
%Y A181955 Cf. A181951 (number of such subgroups).
%Y A181955 Cf. A181954 (symmetric case).
%Y A181955 Cf. A001465.
%K A181955 nonn
%O A181955 1,3
%A A181955 _Olivier Gérard_, Apr 03 2012
%E A181955 Terms a(9) and beyond from _Andrew Howroyd_, Jul 03 2018