A242101 - OEIS

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

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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.