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

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =49a(5) =1a(6) =1a(7) =841a(8) =841a(9) =1a(10) =1a(11) =11881a(12) =47881a(13) =11881a(14) =1a(15) =1a(16) =161281a(17) =1799281a(18) =1799281a(19) =161281a(20) =1a(21) =1a(22) =2217601a(23) =55560961a(24) =154344961a(25) =55560961a(26) =2217601a(27) =1a(28) =1a(29) =31570561