A218938 Number of supersolvable conjugacy classes of subgroups of the alternating group.

1, 1, 1, 2, 4, 7, 14, 22, 70, 122, 225, 395, 1240, 2185

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-> IsSupersolvableGroup(Representative(x)));

Crossrefs

Sequence in context: A176450 A263345 A181655 * A018567 A079488 A054160

Adjacent sequences: A218935 A218936 A218937 * A218939 A218940 A218941

Keyword

nonn,more

Author

Liam Naughton, Nov 12 2012

Status

approved