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%I #2 Mar 30 2012 18:37:17
%S 1,1,2,5,20,158,2474,77743,4991796,594667388,146257399827,
%T 66417454104711,61463521228604767,107733377143686790760,
%U 375280556077116698219547,2553688433304747933172133639
%N G.f.: A(x) = exp( Sum_{n>=1} (1 + C(2n-1,n-1)*x)^n * x^n/n ).
%e G.f.: A(x) = 1 + x + 2*x^2 + 5*x^3 + 20*x^4 + 158*x^5 + 2474*x^6 +...
%e log(A(x)) = (1+x)*x + (1+3*x)^2*x^2/2 + (1+10*x)^3*x^3/3 + (1+35*x)^4*x^4/4 +...
%e log(A(x)) = x + 3*x^2/2 + 10*x^3/3 + 59*x^4/4 + 676*x^5/5 + 13782*x^6/6 +...
%o (PARI) {a(n)=polcoeff(exp(sum(m=1,n+1,(1+binomial(2*m-1,m-1)*x+x*O(x^n))^m*x^m/m)),n)}
%Y Cf. A159321 (log), A001700, A158872 (variant).
%K nonn
%O 0,3
%A _Paul D. Hanna_, Apr 15 2009
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