Triangle read by rows: T(n,k)=sum((n+1-i)!*stirling2(n,n+1-i),i=1..k), n>=1, 1<=k<=n.

Terms

a(0) =1a(1) =2a(2) =3a(3) =6a(4) =12a(5) =13a(6) =24a(7) =60a(8) =74a(9) =75a(10) =120a(11) =360a(12) =510a(13) =540a(14) =541a(15) =720a(16) =2520a(17) =4080a(18) =4620a(19) =4682a(20) =4683a(21) =5040a(22) =20160a(23) =36960a(24) =45360a(25) =47166a(26) =47292a(27) =47293a(28) =40320a(29) =181440