Expansion of (1+x^3*C)*C^3, where C = (1-(1-4*x)^(1/2))/(2*x) is g.f. for Catalan numbers, A000108.

A071728

Expansion of (1+x^3*C)*C^3, where C = (1-(1-4*x)^(1/2))/(2*x) is g.f. for Catalan numbers, A000108.

Terms

    a(0) =1a(1) =3a(2) =9a(3) =29a(4) =94a(5) =311a(6) =1049a(7) =3597a(8) =12506a(9) =43992a(10) =156298a(11) =560082a(12) =2021980a(13) =7347281a(14) =26851465a(15) =98633085a(16) =363961890a(17) =1348553940a(18) =5015206350a(19) =18714132390a(20) =70045890660a(21) =262915076190a(22) =989394563274

External references