

A319790


Number of nonisomorphic connected multiset partitions of weight n with empty intersection.


4



1, 0, 0, 0, 1, 5, 32, 134, 588, 2335, 9335
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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) = 5 connected 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}}
{{1},{2},{2},{1,2}}


CROSSREFS

Cf. A007716, A007718, A049311, A056156, A283877, A317752, A317755, A317757.
Cf. A319077, A319748, A319755, A319778, A319781, A319791.
Sequence in context: A184536 A089574 A077207 * A273623 A001589 A271903
Adjacent sequences: A319787 A319788 A319789 * A319791 A319792 A319793


KEYWORD

nonn,more


AUTHOR

Gus Wiseman, Sep 27 2018


STATUS

approved



