OFFSET
0,3
COMMENTS
A set multipartition is intersecting if no two parts are disjoint. The weight of a set multipartition is the sum of sizes of its parts. Weight is generally not the same as number of vertices.
EXAMPLE
Non-isomorphic representatives of the a(1) = 1 through a(5) = 9 set multipartitions:
1: {{1}}
2: {{1,2}}
{{1},{1}}
3: {{1,2,3}}
{{2},{1,2}}
{{1},{1},{1}}
4: {{1,2,3,4}}
{{3},{1,2,3}}
{{1,2},{1,2}}
{{1,3},{2,3}}
{{2},{2},{1,2}}
{{1},{1},{1},{1}}
5: {{1,2,3,4,5}}
{{4},{1,2,3,4}}
{{1,4},{2,3,4}}
{{2,3},{1,2,3}}
{{2},{1,2},{1,2}}
{{3},{3},{1,2,3}}
{{3},{1,3},{2,3}}
{{2},{2},{2},{1,2}}
{{1},{1},{1},{1},{1}}
CROSSREFS
KEYWORD
nonn,more
AUTHOR
Gus Wiseman, Sep 27 2018
STATUS
approved