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E.g.f. satisfies A(x) = (-log(1 - x / (1 - A(x))^3)) / (1 - A(x)).
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%I #14 Sep 08 2024 13:48:07

%S 0,1,9,191,6496,305164,18317390,1339293822,115492112640,

%T 11476262240520,1291250885222592,162271449317302632,

%U 22528350072978189600,3424249337820235241472,565573503590604522245136,100864333223422171393303488,19317041144591537348567168256

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

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

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

%F E.g.f.: Series_Reversion( (1 - x)^3 * (1 - exp(-x * (1 - x))) ).

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

%Y Cf. A376038, A376039, A376040.

%Y Cf. A052851, A371327, A376042.

%Y Cf. A376036.

%K nonn

%O 0,3

%A _Seiichi Manyama_, Sep 07 2024