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A327017
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Number of non-isomorphic multiset partitions of weight n where every vertex, as a multiset of weight 1, is the multiset-meet of some subset of the edges.
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1
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1, 1, 2, 4, 9, 19, 49, 115, 310, 830, 2383
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OFFSET
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0,3
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COMMENTS
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The multiset-meet of a collection of multisets has as underlying set the intersection of their underlying sets and as multiplicities the minima of their multiplicities.
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LINKS
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EXAMPLE
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Non-isomorphic representatives of the a(1) = 1 through a(5) = 19 multiset partitions:
{1} {1}{1} {1}{11} {1}{111} {1}{1111}
{1}{2} {1}{1}{1} {1}{1}{11} {1}{1}{111}
{1}{2}{2} {1}{2}{12} {1}{11}{11}
{1}{2}{3} {1}{2}{22} {1}{12}{22}
{1}{1}{1}{1} {1}{2}{122}
{1}{1}{2}{2} {1}{2}{222}
{1}{2}{2}{2} {1}{1}{1}{11}
{1}{2}{3}{3} {1}{1}{2}{22}
{1}{2}{3}{4} {1}{2}{2}{12}
{1}{2}{2}{22}
{1}{2}{3}{23}
{1}{2}{3}{33}
{1}{1}{1}{1}{1}
{1}{1}{2}{2}{2}
{1}{2}{2}{2}{2}
{1}{2}{2}{3}{3}
{1}{2}{3}{3}{3}
{1}{2}{3}{4}{4}
{1}{2}{3}{4}{5}
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CROSSREFS
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Cf. A007716, A059523, A326961, A326965, A326967, A326972, A326974, A326976, A326977, A326979, A327012.
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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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