This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A376039 #12 Sep 08 2024 13:48:01 %S A376039 0,1,5,65,1376,40454,1523464,69979734,3794288280,237186275520, %T A376039 16794542216088,1328558461234080,116126748206895216, %U A376039 11114654375545182864,1156103394150386866560,129855826037621953356864,15664344145032570448561920,2019701492029961287845196032 %N A376039 E.g.f. satisfies A(x) = (-log(1 - x / (1 - A(x))^3)) * (1 - A(x)). %H A376039 <a href="/index/Res#revert">Index entries for reversions of series</a> %F A376039 a(n) = Sum_{k=1..n} (3*n-2)!/(3*n-k-1)! * |Stirling1(n,k)|. %F A376039 E.g.f.: Series_Reversion( (1 - x)^3 * (1 - exp(-x / (1 - x))) ). %o A376039 (PARI) a(n) = sum(k=1, n, (3*n-2)!/(3*n-k-1)!*abs(stirling(n, k, 1))); %Y A376039 Cf. A376038, A376040, A376041. %K A376039 nonn %O A376039 0,3 %A A376039 _Seiichi Manyama_, Sep 07 2024