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

Terms

a(0) =1a(1) =0a(2) =2a(3) =0a(4) =-4a(5) =16a(6) =0a(7) =6a(8) =-96a(9) =216a(10) =0a(11) =-8a(12) =384a(13) =-2592a(14) =4096a(15) =0a(16) =10a(17) =-1280a(18) =19440a(19) =-81920a(20) =100000a(21) =0a(22) =-12a(23) =3840a(24) =-116640a(25) =983040a(26) =-3000000a(27) =2985984a(28) =0a(29) =14