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Number of asymmetric types of (3,n)-hypergraphs under action of symmetric group S_3.
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%I #7 May 10 2013 12:44:29

%S 1,8,29,82,198,426,841,1556,2726,4568,7373,11522,17507,25958,37658,

%T 53582,74924,103130,139938,187426,248044,324678,420698,540014,687141,

%U 867274,1086343,1351108,1669234,2049376,2501275,3035866,3665362

%N Number of asymmetric types of (3,n)-hypergraphs under action of symmetric group S_3.

%F G.f.: (1/(1-x)^8-3/(1-x)^4/(1-x^2)^2+2/(1-x)^2/(1-x^3)^2)/6.

%e There are 8 asymmetric (3,3)-hypergraphs: {{1,2},{1,2},{1,3}}, {{1},{1,2},{1,2,3}}, {{1},{1,2},{1,2}}, {{1},{1},{1,2}}, {{1},{1,2},{2,3}}, {{1},{2},{1,3}}, {{1},{1},{2}}, {0,{1},{1,2}}.

%Y Cf. A002727.

%K nonn

%O 2,2

%A _Vladeta Jovovic_, Jul 09 2000

%E More terms from _James A. Sellers_, Jul 11 2000