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 A301578 G.f. A(x) satisfies: A(x) = Product_{k>=1} (1 + k*x^k*A(x)^k). 2

%I

%S 1,1,3,12,48,211,970,4594,22311,110473,555561,2829918,14570666,

%T 75708835,396481070,2090558864,11089276706,59135014252,316836936662,

%U 1704764660218,9207671377450,49904141524184,271325301723223,1479427708380368,8088057338101442,44325245804200151

%N G.f. A(x) satisfies: A(x) = Product_{k>=1} (1 + k*x^k*A(x)^k).

%e G.f. A(x) = 1 + x + 3*x^2 + 12*x^3 + 48*x^4 + 211*x^5 + 970*x^6 + 4594*x^7 + 22311*x^8 + 110473*x^9 + ...

%e G.f. A(x) satisfies: A(x) = (1 + x*A(x)) * (1 + 2*x^2*A(x)^2) * (1 + 3*x^3*A(x)^3) * (1 + 4*x^4*A(x)^4) * ...

%e log(A(x)) = x + 5*x^2/2 + 28*x^3/3 + 137*x^4/4 + 726*x^5/5 + 3896*x^6/6 + 21071*x^7/7 + 115089*x^8/8 + ... + A297322(n)*x^n/n + ...

%Y Cf. A022629, A181315, A297322, A301456, A301577.

%K nonn

%O 0,3

%A _Ilya Gutkovskiy_, Mar 23 2018

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Last modified July 15 22:48 EDT 2019. Contains 325061 sequences. (Running on oeis4.)