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 A336730 #19 May 04 2024 07:22:00 %S A336730 7,8,5,6,7,2,0,9,9,5,4,7,7,3,4,9,3,5,8,6,0,7,7,8,5,8,9,1,9,2,8,5,6,0, %T A336730 6,9,3,2,7,1,4,6,6,7,4,2,7,5,1,4,5,4,4,8,8,8,0,8,3,2,7,3,0,9,2,5,7,6, %U A336730 3,2,8,3,1,1,0,5,2,6,3,8,0,0,3,1,3,4,1,1,6,0,5,7,3,0,4,0,1,0,7,9,7,5,7,3,4 %N A336730 Decimal expansion of Sum_{n>=1} log(n)^n / n!. %C A336730 With u(n) = log(n)^n / n!, this series is convergent as u(n+1)/u(n) -> 0 when n -> oo. %D A336730 Jean-Marie Monier, Analyse, Exercices corrigés, 2ème année, MP, Dunod, 1997, Exercice 3.2.1.r page 279. %F A336730 Equals Sum_{n>=1} log(n)^n / n!. %e A336730 0.785672099547734935860778589192856069327... %p A336730 evalf(sum(log(n)^n/n!,n=2..infinity),120); %o A336730 (PARI) suminf(n=1, log(n)^n/n!) \\ _Michel Marcus_, Aug 02 2020 %Y A336730 Cf. A099871, A306243, A308915, A336284. %K A336730 nonn,cons %O A336730 0,1 %A A336730 _Bernard Schott_, Aug 02 2020