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
Keywords
Crossrefs
Programs
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GAP
List([1..11], n->Size(OrbitsDomain(AlternatingGroup(IsPermGroup, n), SymmetricGroup(IsPermGroup, n), \^)));
Formula
For n >=2, a(n) = A000041(n) + A000700(n) = 2*A046682(n) [by a formula in A046682]. - Eric M. Schmidt, Aug 23 2014
Extensions
More terms from Eric M. Schmidt, Aug 23 2014