Table by antidiagonals of T(n,k) = 2*n*T(n,k-1) - n^2*T(n,k-2) + T(n,k-4) starting with T(n,1) = 1.

Terms

a(0) =1a(1) =2a(2) =1a(3) =3a(4) =4a(5) =1a(6) =4a(7) =12a(8) =6a(9) =1a(10) =6a(11) =32a(12) =27a(13) =8a(14) =1a(15) =10a(16) =81a(17) =108a(18) =48a(19) =10a(20) =1a(21) =17a(22) =200a(23) =406a(24) =256a(25) =75a(26) =12a(27) =1a(28) =28a(29) =488