Number triangle T(n,k) = (-1)^(n-k)*[k<=n]*Product_{i=k+1..n} Sum_{j=0..i-1} A078008(j-1).

Terms

a(0) =1a(1) =-1a(2) =1a(3) =1a(4) =-1a(5) =1a(6) =-3a(7) =3a(8) =-3a(9) =1a(10) =15a(11) =-15a(12) =15a(13) =-5a(14) =1a(15) =-165a(16) =165a(17) =-165a(18) =55a(19) =-11a(20) =1a(21) =3465a(22) =-3465a(23) =3465a(24) =-1155a(25) =231a(26) =-21a(27) =1a(28) =-148995a(29) =148995