

A319793


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


0



1, 0, 0, 0, 1, 4, 24, 96, 412, 1607, 6348
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OFFSET

0,6


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(4) = 1 through a(5) = 4 multiset partitions:
4: {{1},{2},{1,2}}
5: {{1},{2},{1,2,2}}
{{1},{1,2},{2,2}}
{{2},{3},{1,2,3}}
{{2},{1,3},{2,3}}


CROSSREFS

Cf. A007716, A007718, A056156, A281116, A283877, A316980, A317752, A317755, A317757, A319616.
Cf. A319077, A319748, A319755, A319778, A319781, A319791.
Sequence in context: A119878 A054603 A100381 * A091143 A119920 A100738
Adjacent sequences: A319790 A319791 A319792 * A319794 A319795 A319796


KEYWORD

nonn,more


AUTHOR

Gus Wiseman, Sep 27 2018


STATUS

approved



