login
A327017
Number of non-isomorphic multiset partitions of weight n where every vertex, as a multiset of weight 1, is the multiset-meet of some subset of the edges.
1
1, 1, 2, 4, 9, 19, 49, 115, 310, 830, 2383
OFFSET
0,3
COMMENTS
The multiset-meet of a collection of multisets has as underlying set the intersection of their underlying sets and as multiplicities the minima of their multiplicities.
EXAMPLE
Non-isomorphic representatives of the a(1) = 1 through a(5) = 19 multiset partitions:
{1} {1}{1} {1}{11} {1}{111} {1}{1111}
{1}{2} {1}{1}{1} {1}{1}{11} {1}{1}{111}
{1}{2}{2} {1}{2}{12} {1}{11}{11}
{1}{2}{3} {1}{2}{22} {1}{12}{22}
{1}{1}{1}{1} {1}{2}{122}
{1}{1}{2}{2} {1}{2}{222}
{1}{2}{2}{2} {1}{1}{1}{11}
{1}{2}{3}{3} {1}{1}{2}{22}
{1}{2}{3}{4} {1}{2}{2}{12}
{1}{2}{2}{22}
{1}{2}{3}{23}
{1}{2}{3}{33}
{1}{1}{1}{1}{1}
{1}{1}{2}{2}{2}
{1}{2}{2}{2}{2}
{1}{2}{2}{3}{3}
{1}{2}{3}{3}{3}
{1}{2}{3}{4}{4}
{1}{2}{3}{4}{5}
KEYWORD
nonn,more
AUTHOR
Gus Wiseman, Aug 15 2019
STATUS
approved