%I #3 Mar 30 2012 16:49:26
%S 1,2,5,14,43,135,438,1458,4952,17093,59787,211444,754834,2716430,
%T 9844071,35892558,131576330,484659105,1792926015,6658407540,
%U 24814260930,92772188130,347856470880,1307806293924,4928962698072
%N Expansion of (1+x^4*C)*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