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 A319721 Number of non-isomorphic antichains of multisets of weight n. 35
 1, 1, 4, 8, 24, 50, 148, 349, 1014, 2717, 8114 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS In an antichain, no part is a proper submultiset of any other. The weight of an antichain is the sum of sizes of its parts. Weight is generally not the same as number of vertices. LINKS Table of n, a(n) for n=0..10. Goran Kilibarda and Vladeta Jovovic, Antichains of Multisets, Journal of Integer Sequences, Vol. 7 (2004). EXAMPLE Non-isomorphic representatives of the a(1) = 1 through a(3) = 8 antichains: 1: {{1}} 2: {{1,1}} {{1,2}} {{1},{1}} {{1},{2}} 3: {{1,1,1}} {{1,2,2}} {{1,2,3}} {{1},{2,2}} {{1},{2,3}} {{1},{1},{1}} {{1},{2},{2}} {{1},{2},{3}} CROSSREFS Cf. A001055, A001970, A007716, A096827, A253249, A285572, A285573, A293993, A318099, A319616-A319646, A319719. Sequence in context: A266821 A306484 A208901 * A115641 A153334 A332871 Adjacent sequences: A319718 A319719 A319720 * A319722 A319723 A319724 KEYWORD nonn,more AUTHOR Gus Wiseman, Sep 26 2018 STATUS approved

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Last modified May 22 06:48 EDT 2024. Contains 372743 sequences. (Running on oeis4.)