Triangle read by rows: T(n,k) = k*(n-1)!*n^(n-k-1)/(n-k)!, 1 <= k <= n.

Terms

a(0) =1a(1) =1a(2) =1a(3) =3a(4) =4a(5) =2a(6) =16a(7) =24a(8) =18a(9) =6a(10) =125a(11) =200a(12) =180a(13) =96a(14) =24a(15) =1296a(16) =2160a(17) =2160a(18) =1440a(19) =600a(20) =120a(21) =16807a(22) =28812a(23) =30870a(24) =23520a(25) =12600a(26) =4320a(27) =720a(28) =262144a(29) =458752