Triangle T(n,m) = coefficient of x^n in expansion of x^m*(x+1)^(m*x) = sum(n>=m, T(n,m) x^n*m!/n!).

Terms

a(0) =1a(1) =0a(2) =1a(3) =6a(4) =0a(5) =1a(6) =-12a(7) =24a(8) =0a(9) =1a(10) =100a(11) =-60a(12) =60a(13) =0a(14) =1a(15) =-540a(16) =960a(17) =-180a(18) =120a(19) =0a(20) =1a(21) =4158a(22) =-6300a(23) =4620a(24) =-420a(25) =210a(26) =0a(27) =1a(28) =-33600a(29) =71904