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%I #7 Jan 11 2015 01:25:55
%S 1,2,5,16,64,308,1727,11008,78244,611060,5184338,47366320,462782080,
%T 4807659368,52853722811,612426360832,7453621425532,94997205901940,
%U 1264555335831662,17540102647480336,252979919852470672
%N Expansion of 1/(1-2x-x^2/(1-4x-3x^2/(1-6x-5x^2/(1-8x-7x^2/(1-...))))) (continued fraction).
%C Hankel transform is A057863. First column of A178121.
%F G.f.: 1/(Q(0)-x) where Q(k) = 1 - x*(2*k+1)/( 1 - x/Q(k+1) ); (continued fraction ). - _Sergei N. Gladkovskii_, Mar 22 2013
%e G.f. = 1 + 2*x + 5*x^2 + 16*x^3 + 64*x^4 + 308*x^5 + 1727*x^6 + 11008*x^7 + ...
%K easy,nonn
%O 0,2
%A _Paul Barry_, May 20 2010
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