A323788 - OEIS

A323788

Number of non-isomorphic weight-n sets of multisets of multisets.

1, 1, 5, 19, 88, 391, 1995, 10281

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,3

COMMENTS

Also the number of non-isomorphic strict multiset partitions of multiset partitions of weight n.

All sets and multisets must be finite, and only the outermost may be empty.

The weight of an atom is 1, and the weight of a multiset is the sum of weights of its elements, counting multiplicity.

LINKS

EXAMPLE

Non-isomorphic representatives of the a(1) = 1 through a(3) = 19 multiset partitions:

{{1}{1}} {{123}}

{{1}{2}} {{1}{11}}

{{1}}{{2}} {{1}{12}}

{{1}{23}}

{{2}{11}}

{{1}{1}{1}}

{{1}{1}{2}}

{{1}{2}{3}}

{{1}}{{1}{1}}

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

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

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

CROSSREFS

KEYWORD

nonn,more

AUTHOR

Gus Wiseman, Jan 27 2019

STATUS

approved