A319775 Number of non-isomorphic multiset partitions of weight n with empty intersection and no part containing all the vertices.

1, 0, 1, 4, 16, 52, 185, 625, 2226, 7840, 28405

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

Non-isomorphic representatives of the a(2) = 1 through a(4) = 16 multiset partitions:
2: {{1},{2}}
3: {{1},{2,2}}
   {{1},{2,3}}
   {{1},{2},{2}}
   {{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},{1},{2,2}}
   {{1},{1},{2,3}}
   {{1},{2},{2,2}}
   {{1},{2},{3,3}}
   {{1},{2},{3,4}}
   {{1},{3},{2,3}}
   {{1},{1},{2},{2}}
   {{1},{2},{2},{2}}
   {{1},{2},{3},{3}}
   {{1},{2},{3},{4}}

Crossrefs

Cf. A007716, A281116, A283877, A316980, A317752, A317755, A317757.

Cf. A319778, A319779, A319781, A319783.

Sequence in context: A100774 A336994 A107767 * A220936 A232399 A087972

Adjacent sequences: A319772 A319773 A319774 * A319776 A319777 A319778

Keyword

nonn,more

Author

Gus Wiseman, Sep 27 2018

Status

approved