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%I #5 Mar 30 2012 18:59:28
%S 1,1,2,5,15,52,205,917,4658,26817,173899,1257916,10036409,87351977,
%T 821268402,8273013085,88696718215,1006586902196,12037812901733,
%U 151136735414301,1985815346287906
%N Expansion of 1/(1-x/(1-x/(1-x/(1-2x/(1-x/(1-4x/(1-x/(1-6x/(1-... (continued fraction).
%C Hankel transform is A186002.
%F G.f.: 1/(1-x/(1-x*g(x))), g(x) the g.f. of A004211.
%F G.f.: 1/(1-x-x^2/(1-2x-2x^2/(1-3x-4x^2/(1-5x-6x^2/(1-7x-8x^2/(1-.... (continued fraction).
%F a(n)=if(n=0,1,a(n-1)+sum{i=0..n-2, A004211(i)*a(n-1-i)}.
%K nonn,easy
%O 0,3
%A _Paul Barry_, Feb 09 2011
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