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 A094082 Decimal expansion of Sum_{n>=1} (n!/n^n). 5

%I

%S 1,8,7,9,8,5,3,8,6,2,1,7,5,2,5,8,5,3,3,4,8,6,3,0,6,1,4,5,0,7,0,9,6,0,

%T 0,3,8,8,1,9,8,7,3,4,0,0,4,8,9,2,8,9,9,0,4,8,2,9,6,1,7,6,6,9,1,2,2,2,

%U 9,6,3,8,6,6,6,1,2,1,4,2,1,1,3,6,1,7,6,5,0,1,9,7,3,8,9,1,2,3,5

%N Decimal expansion of Sum_{n>=1} (n!/n^n).

%C Sum_{n>=1} n!/n^(n+2) = Integral_{x=0..infinity} -log(1-x*exp(-x)) dx = 1.157694752682... . - _Vaclav Kotesovec_, Jan 05 2016

%e 1.879853862175258533486306145...

%t RealDigits[ NSum[n!/n^n, {n, 1, Infinity}, WorkingPrecision -> 110, NSumTerms -> 180] , 10, 99] // First (* _Jean-François Alcover_, Feb 12 2013 *)

%o (PARI) firstDecimalDigits(n)={default(realprecision,n);return(digits(floor(suminf(n=1,n!/(n^n))*10^n)))}

%o print(firstDecimalDigits(98)); \\ _R. J. Cano_, Dec 30 2016

%o (PARI) suminf(n=1,n!/(n^n)) \\ _Michel Marcus_, Dec 30 2016

%Y Cf. A055775, A073225.

%K nonn,cons

%O 1,2

%A _Ross La Haye_, May 01 2004

%E More terms from Francisco Salinas (franciscodesalinas(AT)hotmail.com), May 01 2004

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Last modified February 23 18:13 EST 2019. Contains 320437 sequences. (Running on oeis4.)