Triangle read by rows: T(n,k) = Sum_{j=0..k} (-1)^j * binomial(k,j) * (1-j)^n.

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =1a(5) =2a(6) =1a(7) =1a(8) =0a(9) =6a(10) =1a(11) =1a(12) =2a(13) =-12a(14) =24a(15) =1a(16) =1a(17) =0a(18) =30a(19) =-120a(20) =120a(21) =1a(22) =1a(23) =2a(24) =-60a(25) =480a(26) =-1080a(27) =720a(28) =1a(29) =1