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%I #5 Mar 23 2018 20:50:51
%S 1,1,4,16,75,366,1887,10010,54493,302302,1703599,9723774,56101292,
%T 326640411,1916800425,11325242328,67316128903,402245682741,
%U 2414978550718,14560379165160,88122911824659,535188028077586,3260549998701951,19921639754064470,122041156818328779
%N G.f. A(x) satisfies: A(x) = Product_{k>=1} 1/(1 - k*x^k*A(x)^k).
%e G.f. A(x) = 1 + x + 4*x^2 + 16*x^3 + 75*x^4 + 366*x^5 + 1887*x^6 + 10010*x^7 + 54493*x^8 + 302302*x^9 + ...
%e G.f. A(x) satisfies: A(x) = 1/((1 - x*A(x)) * (1 - 2*x^2*A(x)^2) * (1 - 3*x^3*A(x)^3) * ...).
%e log(A(x)) = x + 7*x^2/2 + 37*x^3/3 + 219*x^4/4 + 1276*x^5/5 + 7687*x^6/6 + 46551*x^7/7 + 285043*x^8/8 + ... + A297329(n)*x^n/n + ...
%Y Cf. A006906, A109085, A297329, A301455, A301578.
%K nonn
%O 0,3
%A _Ilya Gutkovskiy_, Mar 23 2018
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