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%I #5 Sep 28 2018 15:21:49
%S 1,1,2,3,6,9,19,30,60,107,212
%N Number of non-isomorphic intersecting set multipartitions (multisets of sets) of weight n.
%C A set multipartition is intersecting if no two parts are disjoint. The weight of a set multipartition is the sum of sizes of its parts. Weight is generally not the same as number of vertices.
%e Non-isomorphic representatives of the a(1) = 1 through a(5) = 9 set multipartitions:
%e 1: {{1}}
%e 2: {{1,2}}
%e {{1},{1}}
%e 3: {{1,2,3}}
%e {{2},{1,2}}
%e {{1},{1},{1}}
%e 4: {{1,2,3,4}}
%e {{3},{1,2,3}}
%e {{1,2},{1,2}}
%e {{1,3},{2,3}}
%e {{2},{2},{1,2}}
%e {{1},{1},{1},{1}}
%e 5: {{1,2,3,4,5}}
%e {{4},{1,2,3,4}}
%e {{1,4},{2,3,4}}
%e {{2,3},{1,2,3}}
%e {{2},{1,2},{1,2}}
%e {{3},{3},{1,2,3}}
%e {{3},{1,3},{2,3}}
%e {{2},{2},{2},{1,2}}
%e {{1},{1},{1},{1},{1}}
%Y Cf. A007716, A049311, A283877, A305854, A306006, A316980, A319616.
%Y Cf. A319748, A319752, A319759, A319760, A319765, A319779, A319787, A319789.
%K nonn,more
%O 0,3
%A _Gus Wiseman_, Sep 27 2018
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