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 A319755 Number of non-isomorphic intersecting set multipartitions (multisets of sets) of weight n. 15
 1, 1, 2, 3, 6, 9, 19, 30, 60, 107, 212 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS A set multipartition is intersecting if no two parts are disjoint. The weight of a set multipartition 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(5) = 9 set multipartitions: 1: {{1}} 2: {{1,2}}    {{1},{1}} 3: {{1,2,3}}    {{2},{1,2}}    {{1},{1},{1}} 4: {{1,2,3,4}}    {{3},{1,2,3}}    {{1,2},{1,2}}    {{1,3},{2,3}}    {{2},{2},{1,2}}    {{1},{1},{1},{1}} 5: {{1,2,3,4,5}}    {{4},{1,2,3,4}}    {{1,4},{2,3,4}}    {{2,3},{1,2,3}}    {{2},{1,2},{1,2}}    {{3},{3},{1,2,3}}    {{3},{1,3},{2,3}}    {{2},{2},{2},{1,2}}    {{1},{1},{1},{1},{1}} CROSSREFS Cf. A007716, A049311, A283877, A305854, A306006, A316980, A319616. Cf. A319748, A319752, A319759, A319760, A319765, A319779, A319787, A319789. Sequence in context: A011962 A060172 A193196 * A003243 A320160 A055873 Adjacent sequences:  A319752 A319753 A319754 * A319756 A319757 A319758 KEYWORD nonn,more AUTHOR Gus Wiseman, Sep 27 2018 STATUS approved

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Last modified June 16 14:56 EDT 2019. Contains 324152 sequences. (Running on oeis4.)