A318532 Number of finite sets of set partitions of {1,...,n} such that any two have meet {{1},...,{n}} and join {{1,...,n}}.
2, 4, 11, 51, 635, 15591
Offset: 1
Examples
The a(3) = 11 sets of set partitions: 0 {{1,2,3}} {{1,3},{2}} {{1,2},{3}} {{1},{2,3}} {{1},{2},{3}} {{1,2},{3}} {{1,3},{2}} {{1},{2,3}} {{1,3},{2}} {{1},{2,3}} {{1,2},{3}} {{1},{2},{3}} {{1,2,3}} {{1},{2,3}} {{1,2},{3}} {{1,3},{2}}