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

A071718

Expansion of (1+x^2*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) =10a(3) =32a(4) =104a(5) =345a(6) =1166a(7) =4004a(8) =13936a(9) =49062a(10) =174420a(11) =625328a(12) =2258416a(13) =8209045a(14) =30008790a(15) =110255100a(16) =406923360a(17) =1507973610a(18) =5608843020a(19) =20931740640a(20) =78354322800a(21) =294127079610

External references