%I #3 Mar 30 2012 16:49:26
%S 1,4,14,48,166,577,2022,7147,25469,91441,330516,1201900,4394415,
%T 16145630,59583202,220763545,820933365,3062860665,11462088180,
%U 43014021480,161834455920,610326088974,2306785989804,8736538458998
%N Expansion of (1+x^4*C)*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