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.

1, 2, 5, 15, 48, 159, 539, 1859, 6500, 22984, 82042, 295222, 1069776, 3900225, 14296455, 52656315, 194777340, 723281460, 2695246950, 10075695330, 37776123840, 142010723790, 535172997294, 2021412800430, 7651226309768