A218914 Number of distinct orders of subgroups of the alternating group.

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

Offset

0,4

Links

Table of n, a(n) for n=0..13.

L. Naughton and G. Pfeiffer, Integer sequences realized by the subgroup pattern of the symmetric group, arXiv:1211.1911 and J. Int. Seq. 16 (2013) #13.5.8

Liam Naughton, CountingSubgroups.g

Liam Naughton and Goetz Pfeiffer, Tomlib, The GAP table of marks library

Prog

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

Crossrefs

Sequence in context: A007982 A011904 A308265 * A047809 A014126 A019450

Adjacent sequences: A218911 A218912 A218913 * A218915 A218916 A218917

Keyword

nonn,more

Author

Liam Naughton, Nov 09 2012

Status

approved