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

Terms

a(0) =2a(1) =16a(2) =76a(3) =386a(4) =1474a(5) =7349a(6) =26807a(7) =121964a(8) =487068a(9) =2105087a(10) =7486505a(11) =37278746a(12) =133488216a(13) =550615531a(14) =2263230587a(15) =9856735046a(16) =35168418266a(17) =160420872009a(18) =573578559659