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 A319781 Number of multiset partitions of integer partitions of n with empty intersection. Number of relatively prime factorizations of Heinz numbers of integer partitions of n. 16
 1, 0, 0, 1, 3, 9, 21, 48, 103, 214, 436, 863, 1689 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 COMMENTS The Heinz number of an integer partition (y_1, ..., y_k) is prime(y_1) * ... * prime(y_k). LINKS EXAMPLE The a(3) = 1 through a(5) = 9 multiset partitions: 3: {{1},{2}} 4: {{1},{3}}    {{2},{1,1}}    {{1},{1},{2}} 5: {{1},{4}}    {{2},{3}}    {{3},{1,1}}    {{1},{2,2}}    {{1},{1},{3}}    {{1},{2},{2}}    {{2},{1,1,1}}    {{1},{2},{1,1}}    {{1},{1},{1},{2}} CROSSREFS Cf. A007716, A049311, A281116, A283877, A316980, A317752, A317755, A317757, A318715. Cf. A319775, A319779, A319778, A319783. Sequence in context: A267226 A273845 A090984 * A006813 A274230 A056823 Adjacent sequences:  A319778 A319779 A319780 * A319782 A319783 A319784 KEYWORD nonn,more AUTHOR Gus Wiseman, Sep 27 2018 STATUS approved

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Last modified August 13 19:30 EDT 2020. Contains 336451 sequences. (Running on oeis4.)