T(n,k) = 0!*1!*2!*...*(k-1)! *(n*k)! *k*(k-1)*n*(n-1) / 2*n!*(n+1)!*...*(n+k-1)!

Terms

a(0) =0a(1) =0a(2) =0a(3) =0a(4) =4a(5) =0a(6) =0a(7) =30a(8) =30a(9) =0a(10) =0a(11) =168a(12) =756a(13) =168a(14) =0a(15) =0a(16) =840a(17) =16632a(18) =16632a(19) =840a(20) =0a(21) =0a(22) =3960a(23) =360360a(24) =1729728a(25) =360360a(26) =3960a(27) =0a(28) =0a(29) =18018