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%I #4 Dec 30 2023 16:11:54
%S 1,1,4,11,36,119,407,1418,5018,17971,64989,236915,869518,3209735,
%T 11907644,44368636,165957615,622880402,2345005449,8852862717,
%U 33505203060,127096279124,483127286394,1840030664115,7020349647422
%N Expansion of 1/((1-xc(x)-x^2c(x)^2)(1-x^2c(x))) with c(x) the g.f. of A000108.
%C Diagonal sums of A109267.
%F G.f.: (2-x-x*sqrt(1-4x))(sqrt(1-4x)-x)/(2(1-4x-x^2)(1-x+x^3))
%K easy,nonn
%O 0,3
%A _Paul Barry_, Jun 24 2005
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