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

Terms

a(0) =0a(1) =0a(2) =1a(3) =0a(4) =2a(5) =4a(6) =0a(7) =9a(8) =12a(9) =36a(10) =0a(11) =64a(12) =72a(13) =144a(14) =432a(15) =0a(16) =625a(17) =640a(18) =1080a(19) =2160a(20) =6400a(21) =0a(22) =7776a(23) =7500a(24) =11520a(25) =19440a(26) =38400a(27) =112500a(28) =0a(29) =117649