A129065 with v=x instead of v=1: recursive polynomial coefficient triangle.

Terms

a(0) =1a(1) =1a(2) =4a(3) =0a(4) =-1a(5) =36a(6) =0a(7) =-17a(8) =4a(9) =576a(10) =0a(11) =-380a(12) =148a(13) =-15a(14) =14400a(15) =0a(16) =-11804a(17) =5908a(18) =-1015a(19) =56a(20) =518400a(21) =0a(22) =-496944a(23) =290928a(24) =-65120a(25) =6116a(26) =-185a(27) =25401600a(28) =0a(29) =-27460656