Number of set partitions of [n] such that j is member of block b only if b = 1 or at least one of j-1, ..., j-10 is member of a block >= b-1.

A287673

Number of set partitions of [n] such that j is member of block b only if b = 1 or at least one of j-1, ..., j-10 is member of a block >= b-1.

Terms

    a(0) =1a(1) =1a(2) =2a(3) =5a(4) =15a(5) =52a(6) =203a(7) =877a(8) =4140a(9) =21147a(10) =115975a(11) =678570a(12) =4213597a(13) =27644436a(14) =190898290a(15) =1382887161a(16) =10477990158a(17) =82819430415a(18) =681282289857

External references