A319781 - OEIS

A319781

Number of multiset partitions of integer partitions of n with empty intersection. Number of relatively prime factorizations of Heinz numbers of integer partitions of n.

1, 0, 0, 1, 3, 9, 21, 48, 103, 214, 436, 863, 1689

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OFFSET

0,5

COMMENTS

The Heinz number of an integer partition (y_1, ..., y_k) is prime(y_1) * ... * prime(y_k).

LINKS

Table of n, a(n) for n=0..12.

EXAMPLE

The a(3) = 1 through a(5) = 9 multiset partitions:

3: {{1},{2}}

4: {{1},{3}}

{{2},{1,1}}

{{1},{1},{2}}

5: {{1},{4}}

{{2},{3}}

{{3},{1,1}}

{{1},{2,2}}

{{1},{1},{3}}

{{1},{2},{2}}

{{2},{1,1,1}}

{{1},{2},{1,1}}

{{1},{1},{1},{2}}

CROSSREFS

Cf. A007716, A049311, A281116, A283877, A316980, A317752, A317755, A317757, A318715.

Cf. A319775, A319779, A319778, A319783.

Sequence in context: A267226 A273845 A090984 * A006813 A274230 A056823

Adjacent sequences: A319778 A319779 A319780 * A319782 A319783 A319784

KEYWORD

nonn,more

AUTHOR

Gus Wiseman, Sep 27 2018

STATUS

approved