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 A319565 Number of non-isomorphic connected strict T_0 multiset partitions of weight n. 20
 1, 1, 1, 4, 8, 21, 62, 175, 553, 1775, 6007 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 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) = 8 multiset partitions: 1:      {{1}} 2:     {{1,1}} 3:    {{1,1,1}}       {{1,2,2}}      {{1},{1,1}}      {{2},{1,2}} 4:   {{1,1,1,1}}      {{1,2,2,2}}     {{1},{1,1,1}}     {{1},{1,2,2}}     {{2},{1,2,2}}     {{1,2},{2,2}}     {{1,3},{2,3}}    {{1},{2},{1,2}} CROSSREFS Cf. A007716, A007718, A049311, A056156, A059201, A283877, A316980. Cf. A319557, A319558, A319559, A319560, A319564, A319566, A319567. Sequence in context: A097076 A003608 A248423 * A129794 A064503 A050482 Adjacent sequences:  A319562 A319563 A319564 * A319566 A319567 A319568 KEYWORD nonn,more AUTHOR Gus Wiseman, Sep 23 2018 STATUS approved

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Last modified June 21 10:02 EDT 2021. Contains 345358 sequences. (Running on oeis4.)