T(i,j) = (-1)^(i+j)*(i+1)*binomial(i,j)*2^(i-j)*4^j.

Terms

a(0) =1a(1) =-4a(2) =8a(3) =12a(4) =-48a(5) =48a(6) =-32a(7) =192a(8) =-384a(9) =256a(10) =80a(11) =-640a(12) =1920a(13) =-2560a(14) =1280a(15) =-192a(16) =1920a(17) =-7680a(18) =15360a(19) =-15360a(20) =6144a(21) =448a(22) =-5376a(23) =26880a(24) =-71680a(25) =107520a(26) =-86016a(27) =28672a(28) =-1024a(29) =14336