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

A071739

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

Terms

    a(0) =1a(1) =2a(2) =5a(3) =15a(4) =48a(5) =159a(6) =539a(7) =1859a(8) =6500a(9) =22984a(10) =82042a(11) =295222a(12) =1069776a(13) =3900225a(14) =14296455a(15) =52656315a(16) =194777340a(17) =723281460a(18) =2695246950a(19) =10075695330a(20) =37776123840a(21) =142010723790a(22) =535172997294

External references