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