Triangle sequence:t(n,m)=(2 n - Binomial[n, m] + m! + (-m + n)!).

Terms

a(0) =1a(1) =3a(2) =3a(3) =6a(4) =4a(5) =6a(6) =12a(7) =6a(8) =6a(9) =12a(10) =32a(11) =11a(12) =6a(13) =11a(14) =32a(15) =130a(16) =30a(17) =8a(18) =8a(19) =30a(20) =130a(21) =732a(22) =127a(23) =23a(24) =4a(25) =23a(26) =127a(27) =732a(28) =5054a(29) =728