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A242101 Number of conjugacy classes of the symmetric group S_n when conjugating only by even permutations. 1
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 (list; graph; refs; listen; history; text; internal format)
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: A001013 A115746 A025610 * A131117 A181821 A241882

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

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Last modified November 19 20:42 EST 2019. Contains 329323 sequences. (Running on oeis4.)