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A319763
Number of non-isomorphic strict intersecting multiset partitions (sets of multisets) of weight n with empty intersection.
4
1, 0, 0, 0, 0, 0, 1, 2, 12, 46, 181
OFFSET
0,8
COMMENTS
A multiset partition is intersecting if no two parts are disjoint. The weight of a multiset partition 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(8) = 12 multiset partitions:
6: {{1,2},{1,3},{2,3}}
7: {{1,2},{1,3},{2,3,3}}
{{1,3},{1,4},{2,3,4}}
8: {{1,2},{1,3},{2,2,3,3}}
{{1,2},{1,3},{2,3,3,3}}
{{1,2},{1,3},{2,3,4,4}}
{{1,2},{1,3,3},{2,3,3}}
{{1,2},{1,3,4},{2,3,4}}
{{1,3},{1,4},{2,3,4,4}}
{{1,3},{1,1,2},{2,3,3}}
{{1,3},{1,2,2},{2,3,3}}
{{1,4},{1,5},{2,3,4,5}}
{{2,3},{1,2,4},{3,4,4}}
{{2,4},{1,2,3},{3,4,4}}
{{2,4},{1,2,5},{3,4,5}}
KEYWORD
nonn,more
AUTHOR
Gus Wiseman, Sep 27 2018
STATUS
approved