a(n) = Sum_{k=0..n} A000108(k) * A000009(k).

Terms

a(0) =1a(1) =2a(2) =4a(3) =14a(4) =42a(5) =168a(6) =696a(7) =2841a(8) =11421a(9) =50317a(10) =218277a(11) =923709a(12) =4043889a(13) =17416089a(14) =76253769a(15) =338014584a(16) =1469460024a(17) =6395962044a(18) =28367342244a(19) =123799554504a(20) =543903261384