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E.g.f.: exp(exp(x)/(2-exp(3*x))^(1/3)-1).
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%I #6 Jun 26 2022 05:55:20

%S 1,2,14,166,2742,57734,1475078,44279414,1526285814,59383786278,

%T 2573408251366,122892818420310,6411057873364822,362707216829623046,

%U 22117095828202632262,1445932369337590029622,100884144820332079749302,7481824780607157773071590

%N E.g.f.: exp(exp(x)/(2-exp(3*x))^(1/3)-1).

%C Exponential transform of A124214.

%F a(n) ~ 3^(n + 1/8) * exp(4*n^(1/4) / (3^(3/4) * log(2)^(1/4)) - n - 1) * n^(n - 3/8) / (2*log(2)^(n + 1/8)). - _Vaclav Kotesovec_, Jun 26 2022

%Y Cf.: A124214.

%K nonn

%O 0,2

%A _Karol A. Penson_, Oct 19 2006