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 A319759 Number of non-isomorphic intersecting multiset partitions of weight n with empty intersection. 16
 1, 0, 0, 0, 0, 0, 1, 2, 13, 49, 199 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,8 COMMENTS A multiset partition is intersecting if no two parts are disjoint. 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(6) = 1 through a(8) = 13 multiset partitions: 6: {{1,2},{1,3},{2,3}} 7: {{1,2},{1,3},{2,3,3}}    {{1,3},{1,4},{2,3,4}} 8: {{1,2},{1,3},{2,2,3,3}}    {{1,2},{1,3},{2,3,3,3}}    {{1,2},{1,3},{2,3,4,4}}    {{1,2},{1,3,3},{2,3,3}}    {{1,2},{1,3,4},{2,3,4}}    {{1,3},{1,4},{2,3,4,4}}    {{1,3},{1,1,2},{2,3,3}}    {{1,3},{1,2,2},{2,3,3}}    {{1,4},{1,5},{2,3,4,5}}    {{2,3},{1,2,4},{3,4,4}}    {{2,4},{1,2,3},{3,4,4}}    {{2,4},{1,2,5},{3,4,5}}    {{1,2},{1,3},{2,3},{2,3}} CROSSREFS Cf. A007716, A283877, A305854, A306006, A317757, A318715, A318717. Cf. A319752, A319762, A319763, A319764, A319765, A319779, A319781. Sequence in context: A330539 A005584 A072416 * A254784 A056305 A056297 Adjacent sequences:  A319756 A319757 A319758 * A319760 A319761 A319762 KEYWORD nonn,more AUTHOR Gus Wiseman, Sep 27 2018 STATUS approved

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Last modified June 2 14:21 EDT 2020. Contains 334787 sequences. (Running on oeis4.)