Triangle T, read by rows, where g.f. of row n of matrix power T^n = (n^3 + y)*y^(n-1) for n>=0.

Terms

a(0) =1a(1) =1a(2) =1a(3) =-2a(4) =4a(5) =1a(6) =42a(7) =-36a(8) =9a(9) =1a(10) =-2448a(11) =1584a(12) =-216a(13) =16a(14) =1a(15) =297120a(16) =-165600a(17) =18000a(18) =-800a(19) =25a(20) =1a(21) =-64276200a(22) =32619600a(23) =-3132000a(24) =114000a(25) =-2250a(26) =36a(27) =1a(28) =22435915320a(29) =-10679785200