%I #3 Mar 30 2012 16:49:26
%S 1,4,14,48,166,578,2029,7182,25623,92078,333064,1211896,4433175,
%T 16294856,60155235,222950730,829284435,3094726590,11583668940,
%U 43478013360,163606061280,617094776844,2332666266954,8835573652892
%N Expansion of (1+x^4*C^2)*C^4, 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