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A218914 Number of distinct orders of subgroups of the alternating group. 1
1, 1, 1, 2, 5, 9, 15, 22, 38, 59, 89, 115, 180, 226 (list; graph; refs; listen; history; text; internal format)
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

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Last modified July 31 05:19 EDT 2021. Contains 346367 sequences. (Running on oeis4.)