cp's OEIS Frontend

A319775 Number of non-isomorphic multiset partitions of weight n with empty intersection and no part containing all the vertices.

%I A319775 #5 Sep 28 2018 15:23:40
%S A319775 1,0,1,4,16,52,185,625,2226,7840,28405
%N A319775 Number of non-isomorphic multiset partitions of weight n with empty intersection and no part containing all the vertices.
%C A319775 The weight of a multiset partition is the sum of sizes of its parts. Weight is generally not the same as number of vertices.
%e A319775 Non-isomorphic representatives of the a(2) = 1 through a(4) = 16 multiset partitions:
%e A319775 2: {{1},{2}}
%e A319775 3: {{1},{2,2}}
%e A319775    {{1},{2,3}}
%e A319775    {{1},{2},{2}}
%e A319775    {{1},{2},{3}}
%e A319775 4: {{1},{2,2,2}}
%e A319775    {{1},{2,3,3}}
%e A319775    {{1},{2,3,4}}
%e A319775    {{1,1},{2,2}}
%e A319775    {{1,2},{3,3}}
%e A319775    {{1,2},{3,4}}
%e A319775    {{1},{1},{2,2}}
%e A319775    {{1},{1},{2,3}}
%e A319775    {{1},{2},{2,2}}
%e A319775    {{1},{2},{3,3}}
%e A319775    {{1},{2},{3,4}}
%e A319775    {{1},{3},{2,3}}
%e A319775    {{1},{1},{2},{2}}
%e A319775    {{1},{2},{2},{2}}
%e A319775    {{1},{2},{3},{3}}
%e A319775    {{1},{2},{3},{4}}
%Y A319775 Cf. A007716, A281116, A283877, A316980, A317752, A317755, A317757.
%Y A319775 Cf. A319778, A319779, A319781, A319783.
%K A319775 nonn,more
%O A319775 0,4
%A A319775 _Gus Wiseman_, Sep 27 2018