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

Terms

a(0) =1a(1) =2a(2) =7a(3) =6a(4) =26a(5) =127a(6) =24a(7) =126a(8) =746a(9) =5167a(10) =120a(11) =744a(12) =5166a(13) =41066a(14) =368047a(15) =720a(16) =5160a(17) =41064a(18) =368046a(19) =3669866a(20) =40284847a(21) =5040a(22) =41040a(23) =368040a(24) =3669864a(25) =40284846a(26) =482671466a(27) =6267305647a(28) =40320a(29) =367920