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%I #7 May 30 2016 12:35:49
%S 1,2,5,13,36,102,294,855,2502,7352,21670,64021,189489,561680,1666955,
%T 4952243,14725010,43815836,130462322,388670993,1158491411,3454558976,
%U 10305303341,30752447207,91798204811,274101391202,818652308999
%N Expansion of (1-x-2x^2+sqrt(1-2x-3x^2))/(2(1-x)(1-2x-3x^2)).
%C Row sums of A116407. Binomial transform of A116406.
%F Conjecture: n*a(n) +2*(-3*n+2)*a(n-1) +2*(4*n-5)*a(n-2) +6*(n-2)*a(n-3) +9*(-n+2)*a(n-4)=0. - _R. J. Mathar_, Nov 11 2014
%F a(n) ~ 3^n/4 * (1 + 3*sqrt(3/(Pi*n))/2). - _Vaclav Kotesovec_, May 30 2016
%Y Cf. A116410.
%K easy,nonn
%O 0,2
%A _Paul Barry_, Feb 13 2006
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