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A319077 Number of non-isomorphic strict multiset partitions (sets of multisets) of weight n with empty intersection. 7
1, 0, 1, 3, 12, 37, 130, 428, 1481, 5091, 17979 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

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(2) = 1 through a(4) = 12 strict multiset partitions with empty intersection:

2: {{1},{2}}

3: {{1},{2,2}}

   {{1},{2,3}}

   {{1},{2},{3}}

4: {{1},{2,2,2}}

   {{1},{2,3,3}}

   {{1},{2,3,4}}

   {{1,1},{2,2}}

   {{1,2},{3,3}}

   {{1,2},{3,4}}

   {{1},{2},{1,2}}

   {{1},{2},{2,2}}

   {{1},{2},{3,3}}

   {{1},{2},{3,4}}

   {{1},{3},{2,3}}

   {{1},{2},{3},{4}}

CROSSREFS

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

Cf. A319748, A319755, A319778, A319781, A319790.

Sequence in context: A290930 A264423 A240193 * A008907 A048246 A320203

Adjacent sequences:  A319074 A319075 A319076 * A319078 A319079 A319080

KEYWORD

nonn,more

AUTHOR

Gus Wiseman, Sep 27 2018

STATUS

approved

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Last modified June 19 05:33 EDT 2019. Contains 324218 sequences. (Running on oeis4.)