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

Terms

a(0) =0a(1) =0a(2) =0a(3) =0a(4) =2a(5) =0a(6) =0a(7) =18a(8) =6a(9) =0a(10) =0a(11) =192a(12) =72a(13) =48a(14) =0a(15) =0a(16) =2500a(17) =960a(18) =720a(19) =540a(20) =0a(21) =0a(22) =38880a(23) =15000a(24) =11520a(25) =9720a(26) =7680a(27) =0a(28) =0a(29) =705894