Triangle T(n,k) = binomial(n, k)*(k! + (n-k)!), read by rows.

Terms

a(0) =2a(1) =2a(2) =2a(3) =3a(4) =4a(5) =3a(6) =7a(7) =9a(8) =9a(9) =7a(10) =25a(11) =28a(12) =24a(13) =28a(14) =25a(15) =121a(16) =125a(17) =80a(18) =80a(19) =125a(20) =121a(21) =721a(22) =726a(23) =390a(24) =240a(25) =390a(26) =726a(27) =721a(28) =5041a(29) =5047