A293994 Number of unlabeled multiset clutters of weight n.

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

Offset

0,3

Comments

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.

Links

Table of n, a(n) for n=0..8.

Example

Non-isomorphic representatives of the a(5) = 13 multiset clutters are:
((11111)), ((11112)), ((11122)), ((11123)), ((11223)), ((11234)), ((12345)), ((11)(122)), ((11)(123)), ((12)(111)), ((12)(113)), ((12)(134)), ((13)(122)).

Crossrefs

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

Sequence in context: A345247 A013917 A371181 * A196419 A056893 A051130

Adjacent sequences: A293991 A293992 A293993 * A293995 A293996 A293997

Keyword

nonn,more

Author

Gus Wiseman, Oct 21 2017

Status

approved