A319752 Number of non-isomorphic intersecting multiset partitions of weight n.

1, 1, 3, 6, 16, 35, 94, 222, 584, 1488, 3977

Offset

0,3

Comments

A multiset partition is intersecting if no two parts are disjoint. 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(4) = 16 multiset partitions:
  {{1,1,1,1}}
  {{1,1,2,2}}
  {{1,2,2,2}}
  {{1,2,3,3}}
  {{1,2,3,4}}
  {{1},{1,1,1}}
  {{1},{1,2,2}}
  {{2},{1,2,2}}
  {{3},{1,2,3}}
  {{1,1},{1,1}}
  {{1,2},{1,2}}
  {{1,2},{2,2}}
  {{1,3},{2,3}}
  {{1},{1},{1,1}}
  {{2},{2},{1,2}}
  {{1},{1},{1},{1}}

Crossrefs

Cf. A007716, A049311, A283877, A305854, A306006, A316980, A319616.

Cf. A319755, A319759, A319760, A319765, A319779, A319787, A319789.

Sequence in context: A049311 A068590 A327736 * A130095 A293993 A072824

Adjacent sequences: A319749 A319750 A319751 * A319753 A319754 A319755

Keyword

nonn,more

Author

Gus Wiseman, Sep 27 2018

Status

approved