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E.g.f. satisfies A(x) = log(1 + x)/(1 - A(x))^3.
3

%I #18 Sep 09 2024 09:34:22

%S 0,1,5,74,1704,54474,2225394,110786976,6506273544,440368208280,

%T 33752787590136,2889747086330400,273333159994125984,

%U 28307010099549881088,3185660442523728449664,387117483236717961052800,50518567433159392237036416,7046383438320021239186859264

%N E.g.f. satisfies A(x) = log(1 + x)/(1 - A(x))^3.

%H <a href="/index/Res#revert">Index entries for reversions of series</a>

%F a(n) = Sum_{k=1..n} (4*k-2)!/(3*k-1)! * Stirling1(n,k).

%F E.g.f.: Series_Reversion( exp(x * (1 - x)^3) - 1 ). - _Seiichi Manyama_, Sep 09 2024

%o (PARI) a(n) = sum(k=1, n, (4*k-2)!/(3*k-1)!*stirling(n, k, 1));

%Y Cf. A087138, A370462.

%K nonn

%O 0,3

%A _Seiichi Manyama_, Mar 18 2024