cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A319762 Number of non-isomorphic intersecting set multipartitions (multisets of sets) of weight n with empty intersection.

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%I A319762 #5 Sep 28 2018 15:22:11
%S A319762 1,0,0,0,0,0,1,1,4,9,24
%N A319762 Number of non-isomorphic intersecting set multipartitions (multisets of sets) of weight n with empty intersection.
%C A319762 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 A319762 Non-isomorphic representatives of the a(6) = 1 through a(9) = 9 set multipartitions:
%e A319762 6: {{1,2},{1,3},{2,3}}
%e A319762 7: {{1,3},{1,4},{2,3,4}}
%e A319762 8: {{1,2},{1,3,4},{2,3,4}}
%e A319762    {{1,4},{1,5},{2,3,4,5}}
%e A319762    {{2,4},{1,2,5},{3,4,5}}
%e A319762    {{1,2},{1,3},{2,3},{2,3}}
%e A319762 9: {{1,3},{1,4,5},{2,3,4,5}}
%e A319762    {{1,5},{1,6},{2,3,4,5,6}}
%e A319762    {{2,5},{1,2,6},{3,4,5,6}}
%e A319762    {{1,2,3},{2,4,5},{3,4,5}}
%e A319762    {{1,3,5},{2,3,6},{4,5,6}}
%e A319762    {{1,2},{1,3},{1,4},{2,3,4}}
%e A319762    {{1,2},{1,3},{2,3},{1,2,3}}
%e A319762    {{1,3},{1,4},{1,4},{2,3,4}}
%e A319762    {{1,3},{1,4},{3,4},{2,3,4}}
%Y A319762 Cf. A007716, A049311, A281116, A283877, A305854, A306006, A316980, A317757, A318715, A318717.
%Y A319762 Cf. A319752, A319759, A319763, A319764, A319765, A319779, A319781.
%K A319762 nonn,more
%O A319762 0,9
%A A319762 _Gus Wiseman_, Sep 27 2018