

A319077


Number of nonisomorphic strict multiset partitions (sets of multisets) of weight n with empty intersection.


9



1, 0, 1, 3, 12, 37, 130, 428, 1481, 5091, 17979
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OFFSET

0,4


COMMENTS

The weight of a multiset partition is the sum of sizes of its parts. Weight is generally not the same as number of vertices.


LINKS

Table of n, a(n) for n=0..10.


EXAMPLE

Nonisomorphic representatives of the a(2) = 1 through a(4) = 12 strict multiset partitions with empty intersection:
2: {{1},{2}}
3: {{1},{2,2}}
{{1},{2,3}}
{{1},{2},{3}}
4: {{1},{2,2,2}}
{{1},{2,3,3}}
{{1},{2,3,4}}
{{1,1},{2,2}}
{{1,2},{3,3}}
{{1,2},{3,4}}
{{1},{2},{1,2}}
{{1},{2},{2,2}}
{{1},{2},{3,3}}
{{1},{2},{3,4}}
{{1},{3},{2,3}}
{{1},{2},{3},{4}}


CROSSREFS

Cf. A007716, A049311, A281116, A283877, A316980, A317752, A317755, A317757, A318715.
Cf. A319748, A319755, A319778, A319781, A319790.
Sequence in context: A290930 A264423 A240193 * A008907 A048246 A320203
Adjacent sequences: A319074 A319075 A319076 * A319078 A319079 A319080


KEYWORD

nonn,more


AUTHOR

Gus Wiseman, Sep 27 2018


STATUS

approved



