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

A071737

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

Terms

    a(0) =1a(1) =4a(2) =14a(3) =49a(4) =172a(5) =607a(6) =2156a(7) =7709a(8) =27742a(9) =100436a(10) =365636a(11) =1337866a(12) =4917998a(13) =18155165a(14) =67280520a(15) =250215045a(16) =933566550a(17) =3493585920a(18) =13109631540a(19) =49318717470a(20) =185974763520a(21) =702820113918

External references