A319787 Number of intersecting multiset partitions of normal multisets of size n.

1, 1, 3, 8, 27, 95, 373, 1532, 6724

Offset

0,3

Comments

A multiset is normal if it spans an initial interval of positive integers.

A multiset partition is intersecting iff no two parts are disjoint.

Links

Table of n, a(n) for n=0..8.

Example

The a(1) = 1 through a(3) = 8 multiset partitions:
1: {{1}}
2: {{1,1}}
   {{1,2}}
   {{1},{1}}
3: {{1,1,1}}
   {{1,2,2}}
   {{1,1,2}}
   {{1,2,3}}
   {{1},{1,1}}
   {{2},{1,2}}
   {{1},{1,2}}
   {{1},{1},{1}}

Crossrefs

Cf. A007716, A049311, A283877, A305854, A306006, A316980, A317752.

Cf. A319755, A319759, A319760, A319765, A319779, A319787, A319782, A319784, A319789.

Sequence in context: A330783 A148843 A340334 * A148844 A145760 A102318

Adjacent sequences: A319784 A319785 A319786 * A319788 A319789 A319790

Keyword

nonn,more

Author

Gus Wiseman, Sep 27 2018

Status

approved