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%I #7 Jan 11 2015 02:02:17
%S 1,1,2,4,9,20,45,102,231,524,1189,2699,6127,13910,31581,71702,162796,
%T 369622,839216,1905419,4326211,9822571,22301948,50636130,114968339,
%U 261033373,592671205,1345648489,3055268857,6936928864,15750162908
%N Row sums of triangle A167749.
%C Hankel transform is A167752.
%F G.f.: 1/(1-x/(1-x/(1-x^2/(1-x^3/(1-x^4/(1-...)))))) (continued fraction);
%F G.f.: 1/(1-x*f(x)), f(x) the g.f. of A005169.
%e G.f. = 1 + x + 2*x^2 + 4*x^3 + 9*x^4 + 20*x^5 + 45*x^6 + 102*x^7 + ...
%K easy,nonn
%O 0,3
%A _Paul Barry_, Nov 10 2009
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