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 A357343 #18 Sep 09 2024 09:33:51 %S A357343 0,1,5,53,878,19904,573984,20112770,829953368,39425517072, %T A357343 2119169565120,127163052628512,8426599011632592,611181716437826832, %U A357343 48159349246147915944,4096752391897622411880,374189567290578072309504,36525100459236757201316352 %N A357343 E.g.f. satisfies A(x) = -log(1 - x * exp(A(x))) * exp(A(x)). %H A357343 <a href="/index/Res#revert">Index entries for reversions of series</a> %F A357343 a(n) = Sum_{k=1..n} (n+k)^(k-1) * |Stirling1(n,k)|. %F A357343 E.g.f.: Series_Reversion( exp(-x) * (1 - exp(-x * exp(-x))) ). - _Seiichi Manyama_, Sep 09 2024 %o A357343 (PARI) a(n) = sum(k=1, n, (n+k)^(k-1)*abs(stirling(n, k, 1))); %Y A357343 Cf. A006963, A357344, A357345, A357422. %Y A357343 Cf. A052807, A349556. %K A357343 nonn %O A357343 0,3 %A A357343 _Seiichi Manyama_, Sep 25 2022