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 A319560 Number of non-isomorphic strict T_0 multiset partitions of weight n. 14
 1, 1, 2, 6, 15, 40, 121, 353, 1107, 3550, 11818 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS In a multiset partition, two vertices are equivalent if in every block the multiplicity of the first is equal to the multiplicity of the second. The T_0 condition means that there are no equivalent vertices. The weight of a multiset partition is the sum of sizes of its parts. Weight is generally not the same as number of vertices. LINKS EXAMPLE Non-isomorphic representatives of the a(1) = 1 through a(4) = 15 multiset partitions: 1: {{1}} 2: {{1,1}}    {1},{2}} 3: {{1,1,1}}    {{1,2,2}}    {{1},{1,1}}    {{1},{2,2}}    {{2},{1,2}}    {{1},{2},{3}} 4: {{1,1,1,1}}    {{1,2,2,2}}    {{1},{1,1,1}}    {{1},{1,2,2}}    {{1},{2,2,2}}    {{1},{2,3,3}}    {{2},{1,2,2}}    {{1,1},{2,2}}    {{1,2},{2,2}}    {{1,3},{2,3}}    {{1},{2},{1,2}}    {{1},{2},{2,2}}    {{1},{2},{3,3}}    {{1},{3},{2,3}}    {{1},{2},{3},{4}} CROSSREFS Cf. A007716, A007718, A049311, A053419, A056156, A059201, A283877, A316980. Cf. A319557, A319558, A319559, A319564, A319565, A319566, A319567. Sequence in context: A062106 A206000 A316981 * A061322 A004664 A074446 Adjacent sequences:  A319557 A319558 A319559 * A319561 A319562 A319563 KEYWORD nonn,more AUTHOR Gus Wiseman, Sep 23 2018 STATUS approved

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Last modified June 21 06:55 EDT 2021. Contains 345358 sequences. (Running on oeis4.)