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

Author

Gus Wiseman, Sep 27 2018

Keywords

• nonn
• more

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.

Examples

			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.