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

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =0a(5) =1a(6) =1a(7) =-3a(8) =-3a(9) =1a(10) =1a(11) =-17a(12) =-20a(13) =-17a(14) =1a(15) =1a(16) =-95a(17) =-112a(18) =-112a(19) =-95a(20) =1a(21) =1a(22) =-599a(23) =-694a(24) =-708a(25) =-694a(26) =-599a(27) =1a(28) =1a(29) =-4319