Table T(n,k) = n!*k^n, read by upwards antidiagonals.

Terms

a(0) =1a(1) =0a(2) =1a(3) =0a(4) =1a(5) =1a(6) =0a(7) =2a(8) =2a(9) =1a(10) =0a(11) =6a(12) =8a(13) =3a(14) =1a(15) =0a(16) =24a(17) =48a(18) =18a(19) =4a(20) =1a(21) =0a(22) =120a(23) =384a(24) =162a(25) =32a(26) =5a(27) =1a(28) =0a(29) =720