Array read by antidiagonals: T(m,n) = m * Sum(1<=i<=m) (m+n-2+i)!

Terms

a(0) =1a(1) =2a(2) =16a(3) =6a(4) =60a(5) =450a(6) =24a(7) =288a(8) =2592a(9) =23616a(10) =120a(11) =1680a(12) =17640a(13) =184800a(14) =2045400a(15) =720a(16) =11520a(17) =138240a(18) =1635840a(19) =20188800a(20) =263727360a(21) =5040a(22) =90720a(23) =1224720a(24) =16148160a(25) =219769200a(26) =3137732640a(27) =47249833680a(28) =40320a(29) =806400