Triangle, read by rows, T(n, k) = (-1)^k * (n-k+1)^(n+2) * binomial(n+1, k).

Terms

a(0) =1a(1) =8a(2) =-2a(3) =81a(4) =-48a(5) =3a(6) =1024a(7) =-972a(8) =192a(9) =-4a(10) =15625a(11) =-20480a(12) =7290a(13) =-640a(14) =5a(15) =279936a(16) =-468750a(17) =245760a(18) =-43740a(19) =1920a(20) =-6a(21) =5764801a(22) =-11757312a(23) =8203125a(24) =-2293760a(25) =229635a(26) =-5376a(27) =7a(28) =134217728a(29) =-322828856