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 A371330 #13 Sep 08 2024 13:48:34 %S A371330 0,1,7,112,2901,104176,4788191,268323756,17744075761,1352623086136, %T A371330 116780496526515,11263219375425172,1200239384528276285, %U A371330 140044340185131990336,17757626485468691645479,2431398542489983741458940,357522675169127219183137737 %N A371330 E.g.f. satisfies A(x) = (exp(x/(1 - A(x))) - 1)/(1 - A(x))^2. %H A371330 <a href="/index/Res#revert">Index entries for reversions of series</a> %F A371330 a(n) = Sum_{k=1..n} (n+3*k-2)!/(n+2*k-1)! * Stirling2(n,k). %F A371330 E.g.f.: Series_Reversion( (1 - x) * log(1 + x * (1 - x)^2) ). - _Seiichi Manyama_, Sep 08 2024 %o A371330 (PARI) a(n) = sum(k=1, n, (n+3*k-2)!/(n+2*k-1)!*stirling(n, k, 2)); %Y A371330 Cf. A052892, A371329. %K A371330 nonn %O A371330 0,3 %A A371330 _Seiichi Manyama_, Mar 19 2024