|
%I #17 Oct 22 2015 14:47:13
%S 1,1,3,4,6,7,11,16,23,30,40,58,69,95,119,151,184,240,297,361,452,554,
%T 663,817,980,1177,1402,1665,1995,2346,2774,3259,3837,4466,5222,6057,
%U 7061,8159,9450,10917,12533,14408,16570,18958,21623,24681,28123,32000,36232
%N Number of conjugacy classes in the symmetric group S_n with distinct cardinality.
%C a(n) is the number of distinct entries of row n in the triangle of refined rencontres numbers A181897. - _Tilman Piesk_, Apr 01 2012
%H Alois P. Heinz, <a href="/A073906/b073906.txt">Table of n, a(n) for n = 1..60</a>
%H <a href="/index/Gre#groups">Index entries for sequences related to groups</a>
%t Map[Length,Map[Union,Table[f[list_]:=Total[list]!/Apply[Times,list]/Apply[Times,Table[Count[list,n]!,{n,1,m}]];Map[f,Partitions[m]],{m,1,30}]]] (* _Geoffrey Critzer_, Mar 25 2013 *)
%Y Cf. A000041, A181897.
%K nonn
%O 1,3
%A _Vladeta Jovovic_, Sep 03 2002
%E a(41)-a(49) from _Alois P. Heinz_, Feb 04 2014
|
