The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A319789 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A319789

Number of intersecting multiset partitions of strongly normal multisets of size n.
(history; published version)

#6 by Susanna Cuyler at Fri Sep 28 15:24:45 EDT 2018

STATUS

proposed

approved

#5 by Gus Wiseman at Thu Sep 27 23:33:06 EDT 2018

STATUS

editing

proposed

#4 by Gus Wiseman at Thu Sep 27 23:32:54 EDT 2018

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.

#3 by Gus Wiseman at Thu Sep 27 23:32:03 EDT 2018

CROSSREFS

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

#2 by Gus Wiseman at Thu Sep 27 18:41:56 EDT 2018

NAME

allocated for Gus WisemanNumber of intersecting multiset partitions of strongly normal multisets of size n.

DATA

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

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.

EXAMPLE

The a(1) = 1 through a(3) = 6 multiset partitions:

1: {{1}}

2: {{1,1}}

{{1,2}}

{{1},{1}}

3: {{1,1,1}}

{{1,1,2}}

{{1,2,3}}

{{1},{1,1}}

{{1},{1,2}}

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

CROSSREFS

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

KEYWORD

allocated

nonn,more

AUTHOR

Gus Wiseman, Sep 27 2018

STATUS

approved

editing

#1 by Gus Wiseman at Thu Sep 27 18:41:56 EDT 2018

NAME

allocated for Gus Wiseman

KEYWORD

allocated

STATUS

approved