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

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =2a(5) =2a(6) =6a(7) =6a(8) =6a(9) =6a(10) =24a(11) =24a(12) =25a(13) =24a(14) =24a(15) =120a(16) =120a(17) =125a(18) =125a(19) =120a(20) =120a(21) =720a(22) =720a(23) =743a(24) =745a(25) =743a(26) =720a(27) =720a(28) =5040a(29) =5040