Number T(n,k) of set partitions of [n] having exactly k triples (t,t+1,t+2) such that t+i is in block b+i for some b; triangle T(n,k), n>=0, 0<=k<=max(0,n-2), read by rows.

A271206

Number T(n,k) of set partitions of [n] having exactly k triples (t,t+1,t+2) such that t+i is in block b+i for some b; triangle T(n,k), n>=0, 0<=k<=max(0,n-2), read by rows.

Terms

    a(0) =1a(1) =1a(2) =2a(3) =4a(4) =1a(5) =10a(6) =4a(7) =1a(8) =28a(9) =18a(10) =5a(11) =1a(12) =89a(13) =77a(14) =30a(15) =6a(16) =1a(17) =315a(18) =345a(19) =164a(20) =45a(21) =7a(22) =1a(23) =1233a(24) =1617a(25) =919a(26) =299a(27) =63a(28) =8a(29) =1

External references