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 A319752 Number of non-isomorphic intersecting multiset partitions of weight n. 29
 1, 1, 3, 6, 16, 35, 94, 222, 584, 1488, 3977 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 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(4) = 16 multiset partitions:   {{1,1,1,1}}   {{1,1,2,2}}   {{1,2,2,2}}   {{1,2,3,3}}   {{1,2,3,4}}   {{1},{1,1,1}}   {{1},{1,2,2}}   {{2},{1,2,2}}   {{3},{1,2,3}}   {{1,1},{1,1}}   {{1,2},{1,2}}   {{1,2},{2,2}}   {{1,3},{2,3}}   {{1},{1},{1,1}}   {{2},{2},{1,2}}   {{1},{1},{1},{1}} CROSSREFS Cf. A007716, A049311, A283877, A305854, A306006, A316980, A319616. Cf. A319755, A319759, A319760, A319765, A319779, A319787, A319789. Sequence in context: A049311 A068590 A327736 * A130095 A293993 A072824 Adjacent sequences:  A319749 A319750 A319751 * A319753 A319754 A319755 KEYWORD nonn,more AUTHOR Gus Wiseman, Sep 27 2018 STATUS approved

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Last modified June 19 20:27 EDT 2021. Contains 345145 sequences. (Running on oeis4.)