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 A371328 #13 Sep 08 2024 13:48:26 %S A371328 0,1,7,113,2938,105834,4879000,274224572,18187943160,1390554133968, %T A371328 120409669582344,11647509131446176,1244851706649736752, %U A371328 145678148868683971968,18526475978057250378144,2544152133023519899503168,375205794133263843411479040 %N A371328 E.g.f. satisfies A(x) = -log(1 - x/(1 - A(x)))/(1 - A(x))^2. %H A371328 <a href="/index/Res#revert">Index entries for reversions of series</a> %F A371328 a(n) = Sum_{k=1..n} (n+3*k-2)!/(n+2*k-1)! * |Stirling1(n,k)|. %F A371328 E.g.f.: Series_Reversion( (1 - x) * (1 - exp(-x * (1 - x)^2)) ). - _Seiichi Manyama_, Sep 08 2024 %o A371328 (PARI) a(n) = sum(k=1, n, (n+3*k-2)!/(n+2*k-1)!*abs(stirling(n, k, 1))); %Y A371328 Cf. A052842, A371327. %K A371328 nonn %O A371328 0,3 %A A371328 _Seiichi Manyama_, Mar 19 2024