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A323787
Number of non-isomorphic multiset partitions of strict multiset partitions of weight n.
17
1, 1, 4, 14, 56, 219, 1001, 4588
OFFSET
0,3
COMMENTS
The weight of an atom is 1, and the weight of a multiset is the sum of weights of its elements, counting multiplicity.
EXAMPLE
Non-isomorphic representatives of the a(1) = 1 through a(3) = 14 multiset partitions:
{{1}} {{11}} {{111}}
{{12}} {{112}}
{{1}{2}} {{123}}
{{1}}{{2}} {{1}{11}}
{{1}{12}}
{{1}{23}}
{{2}{11}}
{{1}}{{11}}
{{1}}{{12}}
{{1}}{{23}}
{{1}{2}{3}}
{{2}}{{11}}
{{1}}{{2}{3}}
{{1}}{{2}}{{3}}
KEYWORD
nonn,more
AUTHOR
Gus Wiseman, Jan 27 2019
STATUS
approved