Square array T(n,k) read by antidiagonals: T(n,k) = Product_{1<=i<=j<=k} (n+i+j-1)/(i+j-1).

Terms

a(0) =2a(1) =3a(2) =4a(3) =4a(4) =10a(5) =8a(6) =5a(7) =20a(8) =35a(9) =16a(10) =6a(11) =35a(12) =112a(13) =126a(14) =32a(15) =7a(16) =56a(17) =294a(18) =672a(19) =462a(20) =64a(21) =8a(22) =84a(23) =672a(24) =2772a(25) =4224a(26) =1716a(27) =128a(28) =9a(29) =120