Expansion of Product_{k>=1} 1/(1 - Catalan(k)*x^k), where Catalan = A000108.

Terms

a(0) =1a(1) =1a(2) =3a(3) =8a(4) =26a(5) =78a(6) =271a(7) =874a(8) =3096a(9) =10537a(10) =37884a(11) =132282a(12) =484369a(13) =1723568a(14) =6362479a(15) =23042165a(16) =85706354a(17) =313629597a(18) =1175860079a(19) =4340963778a(20) =16355209663a(21) =60882536222a(22) =230370880224a(23) =862533878347