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 A376038 #12 Sep 08 2024 13:47:57 %S A376038 0,1,3,29,466,10444,300296,10539738,436831368,20879226240, %T A376038 1130604893016,68406042884376,4573574072262240,334855813955693952, %U A376038 26645202689658107712,2289609993045578793120,211302073839493597484160,20844012997702684830894336 %N A376038 E.g.f. satisfies A(x) = (-log(1 - x / (1 - A(x))^3)) * (1 - A(x))^2. %H A376038 <a href="/index/Res#revert">Index entries for reversions of series</a> %F A376038 a(n) = Sum_{k=1..n} (3*n-k-2)!/(3*n-2*k-1)! * |Stirling1(n,k)|. %F A376038 E.g.f.: Series_Reversion( (1 - x)^3 * (1 - exp(-x / (1 - x)^2)) ). %o A376038 (PARI) a(n) = sum(k=1, n, (3*n-k-2)!/(3*n-2*k-1)!*abs(stirling(n, k, 1))); %Y A376038 Cf. A376039, A376040, A376041. %K A376038 nonn %O A376038 0,3 %A A376038 _Seiichi Manyama_, Sep 07 2024