A319789 - OEIS

A319789

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

1, 1, 3, 6, 17, 40, 122, 330, 1032

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OFFSET

0,3

COMMENTS

A multiset is normal if it spans an initial interval of positive integers, and strongly normal if in addition its multiplicities are weakly decreasing. 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) = 6 multiset partitions:

1: {{1}}

2: {{1,1}}

{{1},{1}}

3: {{1,1,1}}

{{1},{1,1}}

{{1},{1,2}}

{{1},{1},{1}}

CROSSREFS

Cf. A007716, A283877, A305854, A306006, A316980, A317755.

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

Sequence in context: A027415 A280088 A151503 * A007718 A297972 A275057

Adjacent sequences: A319786 A319787 A319788 * A319790 A319791 A319792

KEYWORD

nonn,more

AUTHOR

Gus Wiseman, Sep 27 2018

STATUS

approved