A218935 Number of cyclic conjugacy classes of subgroups of the alternating group.

1, 1, 1, 2, 3, 4, 6, 8, 12, 17, 23, 29, 40, 52

Offset

0,4

Links

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

Liam Naughton and Goetz 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) List(ConjugacyClassesSubgroups(AlternatingGroup(n)), x-> IsCyclic(Representative(x)));

Crossrefs

Sequence in context: A336613 A018261 A306201 * A018438 A342338 A221942

Adjacent sequences: A218932 A218933 A218934 * A218936 A218937 A218938

Keyword

nonn,more

Author

Liam Naughton, Nov 12 2012

Status

approved