%I #3 Mar 30 2012 16:49:26
%S 1,3,9,28,91,304,1036,3586,12571,44538,159222,573648,2080766,7592438,
%T 27850010,102638190,379859835,1411205250,5260849110,19673751960,
%U 73784984490,277457327160,1045879727568,3951343037220,14959393005886
%N Expansion of (1+x^4*C^4)*C^3, 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