Convolution of number of partitions into distinct parts and Catalan numbers.

Terms

a(0) =1a(1) =2a(2) =4a(3) =10a(4) =25a(5) =70a(6) =209a(7) =656a(8) =2137a(9) =7155a(10) =24447a(11) =84864a(12) =298374a(13) =1060151a(14) =3800365a(15) =13727145a(16) =49910870a(17) =182522747a(18) =670896855a(19) =2477250003a(20) =9184502747a(21) =34177467134a(22) =127606759053a(23) =477890336663