Binomial transform of A006497.

Terms

a(0) =2a(1) =5a(2) =19a(3) =80a(4) =343a(5) =1475a(6) =6346a(7) =27305a(8) =117487a(9) =505520a(10) =2175139a(11) =9359135a(12) =40270258a(13) =173273885a(14) =745558651a(15) =3207971600a(16) =13803182047a(17) =59391995435a(18) =255550431034