Triangle read by rows: T(n,k) = k!*binomial(n-1,k-1)*Stirling2(n,k), 1 <= k <= n.

Terms

a(0) =1a(1) =1a(2) =2a(3) =1a(4) =12a(5) =6a(6) =1a(7) =42a(8) =108a(9) =24a(10) =1a(11) =120a(12) =900a(13) =960a(14) =120a(15) =1a(16) =310a(17) =5400a(18) =15600a(19) =9000a(20) =720a(21) =1a(22) =756a(23) =27090a(24) =168000a(25) =252000a(26) =90720a(27) =5040a(28) =1a(29) =1778