Triangle read by rows, n>=1, 1<=k<=n, T(n,k) = k*binomial(n,k)^3*(n^2+n-k*n-k+k^2)/((n-k+1)^2*n).

Terms

a(0) =1a(1) =4a(2) =4a(3) =9a(4) =36a(5) =9a(6) =16a(7) =168a(8) =168a(9) =16a(10) =25a(11) =550a(12) =1400a(13) =550a(14) =25a(15) =36a(16) =1440a(17) =7500a(18) =7500a(19) =1440a(20) =36a(21) =49a(22) =3234a(23) =30135a(24) =61250a(25) =30135a(26) =3234a(27) =49a(28) =64a(29) =6496