Fourth column of PE^3.

Terms

a(0) =0a(1) =0a(2) =0a(3) =1a(4) =12a(5) =120a(6) =1140a(7) =10815a(8) =104496a(9) =1037484a(10) =10627560a(11) =112508550a(12) =1231481460a(13) =13933510734a(14) =162864103584