A218914 - OEIS

%I #13 Jan 20 2018 17:44:11

%S 1,1,1,2,5,9,15,22,38,59,89,115,180,226

%N Number of distinct orders of subgroups of the alternating group.

%H L. Naughton and G. Pfeiffer, <a href="http://arxiv.org/abs/1211.1911">Integer sequences realized by the subgroup pattern of the symmetric group</a>, arXiv:1211.1911 and <a href="https://cs.uwaterloo.ca/journals/JIS/VOL16/Naughton/naughton2.html">J. Int. Seq. 16 (2013) #13.5.8</a>

%H Liam Naughton, <a href="http://www.maths.nuigalway.ie/~liam/CountingSubgroups.g">CountingSubgroups.g</a>

%H Liam Naughton and Goetz Pfeiffer, <a href="http://schmidt.nuigalway.ie/tomlib/">Tomlib, The GAP table of marks library</a>

%o (GAP) Size(DuplicateFreeList(List(ConjugacyClassesSubgroups(G), x->Size(Representative(x)))));

%K nonn,more

%O 0,4

%A _Liam Naughton_, Nov 09 2012