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%I #7 Dec 10 2015 08:45:09
%S 1,4,16,63,244,934,3549,13428,50694,191216,721259,2722073,10282610,
%T 38886330,147243585,558279000,2119599270,8058312360,30677134380,
%U 116937340494,446317079712,1705563385196,6525404350306,24994411455928
%N Expansion of (1+x*C^4)*C^3, where C = (1-(1-4*x)^(1/2))/(2*x) is g.f. for Catalan numbers, A000108.
%F Conjecture: (n+6) *(8587*n^2 +62958*n +61667) *a(n) +(8587*n^3 -377960*n^2 -2268967*n -1091596) *a(n-1) -2 *(2*n-1) *(42935*n^2 -14497*n -123334) *a(n-2)=0. - _R. J. Mathar_, Dec 10 2015
%K nonn
%O 0,2
%A _N. J. A. Sloane_, Jun 06 2002
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