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A319760
Number of non-isomorphic intersecting strict multiset partitions (sets of multisets) of weight n.
8
1, 1, 2, 5, 11, 26, 68, 162, 423, 1095, 2936
OFFSET
0,3
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(1) = 1 through a(4) = 11 strict multiset partitions:
1: {{1}}
2: {{1,1}}
{{1,2}}
3: {{1,1,1}}
{{1,2,2}}
{{1,2,3}}
{{1},{1,1}}
{{2},{1,2}}
4: {{1,1,1,1}}
{{1,1,2,2}}
{{1,2,2,2}}
{{1,2,3,3}}
{{1,2,3,4}}
{{1},{1,1,1}}
{{1},{1,2,2}}
{{2},{1,2,2}}
{{3},{1,2,3}}
{{1,2},{2,2}}
{{1,3},{2,3}}
KEYWORD
nonn,more
AUTHOR
Gus Wiseman, Sep 27 2018
STATUS
approved