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A293994 Number of unlabeled multiset clutters of weight n. 31

%I

%S 1,1,2,3,7,13,39,88,265

%N Number of unlabeled multiset clutters of weight n.

%C A multiset clutter is a connected antichain of finite multisets. The weight of a multiset clutter is the sum of cardinalities (counting multiplicity) of its edges.

%e Non-isomorphic representatives of the a(5) = 13 multiset clutters are:

%e ((11111)), ((11112)), ((11122)), ((11123)), ((11223)), ((11234)), ((12345)), ((11)(122)), ((11)(123)), ((12)(111)), ((12)(113)), ((12)(134)), ((13)(122)).

%Y Cf. A007716, A048143, A286520, A293607, A293993.

%K nonn,more

%O 0,3

%A _Gus Wiseman_, Oct 21 2017

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Last modified June 12 22:12 EDT 2021. Contains 344970 sequences. (Running on oeis4.)