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A319762
Number of non-isomorphic intersecting set multipartitions (multisets of sets) of weight n with empty intersection.
4
1, 0, 0, 0, 0, 0, 1, 1, 4, 9, 24
OFFSET
0,9
COMMENTS
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.
EXAMPLE
Non-isomorphic representatives of the a(6) = 1 through a(9) = 9 set multipartitions:
6: {{1,2},{1,3},{2,3}}
7: {{1,3},{1,4},{2,3,4}}
8: {{1,2},{1,3,4},{2,3,4}}
{{1,4},{1,5},{2,3,4,5}}
{{2,4},{1,2,5},{3,4,5}}
{{1,2},{1,3},{2,3},{2,3}}
9: {{1,3},{1,4,5},{2,3,4,5}}
{{1,5},{1,6},{2,3,4,5,6}}
{{2,5},{1,2,6},{3,4,5,6}}
{{1,2,3},{2,4,5},{3,4,5}}
{{1,3,5},{2,3,6},{4,5,6}}
{{1,2},{1,3},{1,4},{2,3,4}}
{{1,2},{1,3},{2,3},{1,2,3}}
{{1,3},{1,4},{1,4},{2,3,4}}
{{1,3},{1,4},{3,4},{2,3,4}}
KEYWORD
nonn,more
AUTHOR
Gus Wiseman, Sep 27 2018
STATUS
approved