Triangle read by rows: T(n,m)=2*Binomial[n, m] - (m! - n! + (-m + n)!).

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =4a(5) =1a(6) =1a(7) =9a(8) =9a(9) =1a(10) =1a(11) =25a(12) =32a(13) =25a(14) =1a(15) =1a(16) =105a(17) =132a(18) =132a(19) =105a(20) =1a(21) =1a(22) =611a(23) =724a(24) =748a(25) =724a(26) =611a(27) =1a(28) =1a(29) =4333