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A319748 Number of non-isomorphic set multipartitions (multisets of sets) of weight n with empty intersection. 8
1, 0, 1, 3, 10, 25, 72, 182, 502, 1332, 3720 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

The weight of a set multipartition 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) = 10 set multipartitions:

  {{1},{2}}   {{1},{2,3}}     {{1},{2,3,4}}

             {{1},{2},{2}}    {{1,2},{3,4}}

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

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

                             {{1},{2},{3,4}}

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

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

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

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

                            {{1},{2},{3},{4}}

CROSSREFS

Cf. A007716, A049311, A281116, A283877, A316980, A317752, A317755, A317757, A319616.

Cf. A319077, A319751, A319755, A319778, A319781, A319791.

Sequence in context: A026985 A319919 A027227 * A027228 A026950 A095052

Adjacent sequences:  A319745 A319746 A319747 * A319749 A319750 A319751

KEYWORD

nonn,more

AUTHOR

Gus Wiseman, Sep 27 2018

STATUS

approved

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Last modified June 24 05:39 EDT 2019. Contains 324318 sequences. (Running on oeis4.)