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%I #5 Jun 22 2017 11:23:58
%S 1,4,14,49,173,616,2210,7982,29002,105944,388892,1433797,5307365,
%T 19717440,73496730,274797330,1030334910,3873215640,14595139140,
%U 55120449930,208601520114,790972319472,3004615788884,11432740177564
%N Expansion of (1+x^3*C^4)*C^4, where C = (1-(1-4*x)^(1/2))/(2*x) is g.f. for Catalan numbers, A000108.
%H Harvey P. Dale, <a href="/A071741/b071741.txt">Table of n, a(n) for n = 0..1000</a>
%t With[{c=(1-Sqrt[1-4x])/(2x)},CoefficientList[Series[(1+x^3*c^4)c^4,{x,0,30}],x]] (* _Harvey P. Dale_, Jun 22 2017 *)
%K nonn
%O 0,2
%A _N. J. A. Sloane_, Jun 06 2002
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