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 A323794 Number of non-isomorphic weight-n multisets of sets of multisets. 9
 1, 1, 5, 17, 77, 318, 1561, 7667 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Also the number of non-isomorphic set multipartitions of multiset partitions of weight n. All sets and multisets must be finite, and only the outermost may be empty. The weight of an atom is 1, and the weight of a multiset is the sum of weights of its elements, counting multiplicity. LINKS Table of n, a(n) for n=0..7. EXAMPLE Non-isomorphic representatives of the a(1) = 1 through a(3) = 17 multiset partitions: {{1}} {{11}} {{111}} {{12}} {{112}} {{1}{2}} {{123}} {{1}}{{1}} {{1}{11}} {{1}}{{2}} {{1}{12}} {{1}{23}} {{2}{11}} {{1}}{{11}} {{1}}{{12}} {{1}}{{23}} {{1}{2}{3}} {{2}}{{11}} {{1}}{{1}{2}} {{1}}{{2}{3}} {{1}}{{1}}{{1}} {{1}}{{1}}{{2}} {{1}}{{2}}{{3}} CROSSREFS Cf. A007716, A049311, A283877, A306186, A316980, A317791, A318565, A318566. Cf. A323787, A323788, A323789, A323790, A323791, A323792, A323793, A323795. Sequence in context: A149741 A149742 A149743 * A151479 A330800 A293458 Adjacent sequences: A323791 A323792 A323793 * A323795 A323796 A323797 KEYWORD nonn,more AUTHOR Gus Wiseman, Jan 28 2019 STATUS approved

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Last modified April 12 14:01 EDT 2024. Contains 371635 sequences. (Running on oeis4.)