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%I #4 Jun 18 2018 08:58:26
%S 1,1,1,2,3,5,10,16,30,57
%N Number of non-isomorphic intersecting set-systems of weight n.
%C An intersecting set-system S is a finite set of finite nonempty sets (edges), any two of which have a nonempty intersection. The weight of S is the sum of cardinalities of its elements. Weight is generally not the same as number of vertices.
%e Non-isomorphic representatives of the a(6) = 10 set-systems:
%e {{1,2,3,4,5,6}}
%e {{5},{1,2,3,4,5}}
%e {{1,5},{2,3,4,5}}
%e {{3,4},{1,2,3,4}}
%e {{1,2,5},{3,4,5}}
%e {{1,3,4},{2,3,4}}
%e {{3},{2,3},{1,2,3}}
%e {{4},{1,4},{2,3,4}}
%e {{1,2},{1,3},{2,3}}
%e {{1,4},{2,4},{3,4}}
%Y Cf. A007716, A034691, A048143, A049311, A116540, A283877, A293606, A293607, A304867, A305999, A305854-A305857, A306005-A306008.
%K nonn,more
%O 0,4
%A _Gus Wiseman_, Jun 16 2018
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