Triangle that arise in the study of Galois polynomials.

Terms

a(0) =1a(1) =-1a(2) =8a(3) =4a(4) =-76a(5) =264a(6) =-33a(7) =1248a(8) =-9735a(9) =22080a(10) =456a(11) =-32088a(12) =440448a(13) =-2085096a(14) =3715440a(15) =-9460a(16) =1216600a(17) =-26297700a(18) =205444800a(19) =-704121000a(20) =1087450320a(21) =274800a(22) =-64995600a(23) =2073673920a(24) =-23974142160a(25) =129203087760a(26) =-354403429920a(27) =500558083200