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 A319789 Number of intersecting multiset partitions of strongly normal multisets of size n. 8
 1, 1, 3, 6, 17, 40, 122, 330, 1032 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS A multiset is normal if it spans an initial interval of positive integers, and strongly normal if in addition its multiplicities are weakly decreasing. A multiset partition is intersecting iff no two parts are disjoint. LINKS Table of n, a(n) for n=0..8. EXAMPLE The a(1) = 1 through a(3) = 6 multiset partitions: 1: {{1}} 2: {{1,1}} {{1,2}} {{1},{1}} 3: {{1,1,1}} {{1,1,2}} {{1,2,3}} {{1},{1,1}} {{1},{1,2}} {{1},{1},{1}} CROSSREFS Cf. A007716, A283877, A305854, A306006, A316980, A317755. Cf. A319755, A319759, A319760, A319765, A319779, A319787, A319782, A319784, A319787. Sequence in context: A027415 A280088 A151503 * A007718 A297972 A275057 Adjacent sequences: A319786 A319787 A319788 * A319790 A319791 A319792 KEYWORD nonn,more AUTHOR Gus Wiseman, Sep 27 2018 STATUS approved

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Last modified May 24 18:59 EDT 2024. Contains 372781 sequences. (Running on oeis4.)