Triangle T(n, k) = binomial(n, k)*( n!/k! if floor(n/2) >= k otherwise n!/(n-k)! ), read by rows.

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =4a(5) =2a(6) =6a(7) =18a(8) =18a(9) =6a(10) =24a(11) =96a(12) =72a(13) =96a(14) =24a(15) =120a(16) =600a(17) =600a(18) =600a(19) =600a(20) =120a(21) =720a(22) =4320a(23) =5400a(24) =2400a(25) =5400a(26) =4320a(27) =720a(28) =5040a(29) =35280