Triangle read by rows: expansion of p(t) = (1 + t)^x/(1 + (1 + t)^n) with weight factor 2^(n+1)*n!.

Terms

a(0) =1a(1) =-1a(2) =2a(3) =4a(4) =-12a(5) =4a(6) =30a(7) =88a(8) =-60a(9) =8a(10) =-1344a(11) =224a(12) =752a(13) =-224a(14) =16a(15) =-16920a(16) =-31232a(17) =0a(18) =4320a(19) =-720a(20) =32a(21) =2977920a(22) =-430848a(23) =-371264a(24) =-10560a(25) =19840a(26) =-2112a(27) =64a(28) =53267760a(29) =104934912