%I #3 Mar 30 2012 16:49:26
%S 1,4,14,49,172,607,2156,7709,27742,100436,365636,1337866,4917998,
%T 18155165,67280520,250215045,933566550,3493585920,13109631540,
%U 49318717470,185974763520,702820113918,2661438889896,10097446604434
%N Expansion of (1+x^3*C^3)*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