a(n) = n! * [x^n] (exp(x)+x)^n.

Terms

a(0) =1a(1) =2a(2) =10a(3) =87a(4) =1096a(5) =18045a(6) =365796a(7) =8793337a(8) =244327616a(9) =7701562377a(10) =271493172100