%I #3 Mar 30 2012 16:49:26
%S 1,2,5,15,48,159,539,1859,6500,22984,82042,295222,1069776,3900225,
%T 14296455,52656315,194777340,723281460,2695246950,10075695330,
%U 37776123840,142010723790,535172997294,2021412800430,7651226309768
%N 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.
%K nonn
%O 0,2
%A _N. J. A. Sloane_, Jun 06 2002