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A323792
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Number of non-isomorphic weight-n multisets of sets of sets.
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9
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OFFSET
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0,3
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COMMENTS
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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.
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LINKS
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EXAMPLE
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Non-isomorphic representatives of the a(1) = 1 through a(3) = 11 multiset partitions:
{{1}} {{12}} {{123}}
{{1}{2}} {{1}{12}}
{{1}}{{1}} {{1}{23}}
{{1}}{{2}} {{1}}{{12}}
{{1}}{{23}}
{{1}{2}{3}}
{{1}}{{1}{2}}
{{1}}{{2}{3}}
{{1}}{{1}}{{1}}
{{1}}{{1}}{{2}}
{{1}}{{2}}{{3}}
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CROSSREFS
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Cf. A007716, A049311, A050326, A050343, A255906, A283877, A306186, A316980, A318564, A318565, A318566.
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KEYWORD
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nonn,more
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AUTHOR
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STATUS
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approved
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