Triangle T(n,k) = n!/(n - k)! + n!/k! - n! read by rows, 0 <= k <= n.

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =2a(5) =1a(6) =1a(7) =3a(8) =3a(9) =1a(10) =1a(11) =4a(12) =0a(13) =4a(14) =1a(15) =1a(16) =5a(17) =-40a(18) =-40a(19) =5a(20) =1a(21) =1a(22) =6a(23) =-330a(24) =-480a(25) =-330a(26) =6a(27) =1a(28) =1a(29) =7