0,4

The weight of a set multipartition is the sum of sizes of its parts. Weight is generally not the same as number of vertices.

Table of n, a(n) for n=0..10.

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}}

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

nonn,more

Gus Wiseman, Sep 27 2018

approved