a(n) = Sum_{k=1..n} binomial(2*n,n+k)*A000005(k).

Terms

a(0) =1a(1) =6a(2) =29a(3) =131a(4) =572a(5) =2448a(6) =10341a(7) =43288a(8) =180003a(9) =744712a(10) =3068793a(11) =12605411a(12) =51642528a(13) =211110240a(14) =861409918a(15) =3509341245a(16) =14277424978a(17) =58017460260a(18) =235512889296a(19) =955146370152