Triangle read by rows: T(n,k) = (n!/k!) * [x^n] x^k*(1+x+x^2)^(k*x).

Terms

a(0) =1a(1) =0a(2) =1a(3) =6a(4) =0a(5) =1a(6) =12a(7) =24a(8) =0a(9) =1a(10) =-20a(11) =60a(12) =60a(13) =0a(14) =1a(15) =540a(16) =240a(17) =180a(18) =120a(19) =0a(20) =1a(21) =-882a(22) =6300a(23) =2100a(24) =420a(25) =210a(26) =0a(27) =1a(28) =-6720a(29) =-8736