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E.g.f. satisfies A(x) = -log(1 - x)/(1 - A(x))^3.
2

%I #13 Sep 08 2024 13:48:19

%S 0,1,7,110,2796,98754,4469334,246741984,16079405784,1208082769560,

%T 102810760773096,9774841791650880,1026870593449179264,

%U 118121793328191431232,14766518531481521488704,1993367920121834019649920,288988424345833831094150016

%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( 1 - exp(-x * (1 - x)^3) ). - _Seiichi Manyama_, Sep 08 2024

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

%Y Cf. A052851, A371314.

%Y Cf. A370463.

%K nonn

%O 0,3

%A _Seiichi Manyama_, Mar 18 2024