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A242101 Number of conjugacy classes of the symmetric group S_n when conjugating only by even permutations. 1

%I

%S 1,2,4,6,8,12,16,24,32,44,58,80,104,138,180,236,302,390,496,634,800,

%T 1010,1264,1586,1970,2448,3024,3734,4582,5622,6862,8372,10168,12336,

%U 14912,18010,21672,26052,31226,37384,44632,53226,63318,75238,89202,105630,124832

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

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

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

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

%Y Cf. A046682.

%K nonn

%O 1,2

%A _Attila Egri-Nagy_, Aug 14 2014

%E More terms from _Eric M. Schmidt_, Aug 23 2014

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Last modified December 7 17:41 EST 2019. Contains 329847 sequences. (Running on oeis4.)