Triangle read by rows: t(n,k)= k! + (1-k!)*(n - k)!, 0<=k<=n.

Terms

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