A242101 Number of conjugacy classes of the symmetric group S_n when conjugating only by even permutations.

1, 2, 4, 6, 8, 12, 16, 24, 32, 44, 58, 80, 104, 138, 180, 236, 302, 390, 496, 634, 800, 1010, 1264, 1586, 1970, 2448, 3024, 3734, 4582, 5622, 6862, 8372, 10168, 12336, 14912, 18010, 21672, 26052, 31226, 37384, 44632, 53226, 63318, 75238, 89202, 105630, 124832

Offset

1,2

Links

Table of n, a(n) for n=1..47.

Formula

For n >=2, a(n) = A000041(n) + A000700(n) = 2*A046682(n) [by a formula in A046682]. - Eric M. Schmidt, Aug 23 2014

Prog

(GAP) List([1..11], n->Size(OrbitsDomain(AlternatingGroup(IsPermGroup, n), SymmetricGroup(IsPermGroup, n), \^)));

Crossrefs

Cf. A242099 (by dihedral group), A000041 (by symmetric group itself), A061417 (by cyclic group).

Cf. A046682.

Sequence in context: A115746 A025610 A344181 * A131117 A332290 A332293

Adjacent sequences: A242098 A242099 A242100 * A242102 A242103 A242104

Keyword

nonn

Author

Attila Egri-Nagy, Aug 14 2014

Extensions

More terms from Eric M. Schmidt, Aug 23 2014

Status

approved