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%I
%S 1,0,1,1,2,4,7,14,27,52,102,198,387,755,1474,2879,5622,10982,21450,
%T 41900,81847,159880,312315,610086,1191768,2328054,4547732,8883767,
%U 17354001,33900200,66222412,129362318,252703135,493643580,964309346
%N Diagonal sums of A167749.
%C Hankel transform is A167753.
%F G.f.: 1/(1-x^2/(1-x/(1-x^2/(1-x^3/(1-x^4/(1-...)))))) (continued fraction);
%F G.f.: 1/(1-x^2*f(x)), f(x) the g.f. of A005169.
%e G.f. = 1 + x^2 + x^3 + 2*x^4 + 4*x^5 + 7*x^6 + 14*x^7 + 27*x^8 + 52*x^9 + ...
%K easy,nonn
%O 0,5
%A _Paul Barry_, Nov 10 2009
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