OFFSET
1,2
COMMENTS
Arises in an asymptotic formula for f(x) = Sum_{k>0} (x/k)^k as x->oo: f(x) is asymptotic to sqrt(2*Pi/e)*sqrt(x)*e^(x/e).
LINKS
G. C. Greubel, Table of n, a(n) for n = 1..10000
FORMULA
sqrt(2*Pi/e) = 1.52034690106628080561194...
MATHEMATICA
RealDigits[Sqrt[2*Pi/E], 10, 120][[1]] (* Harvey P. Dale, Mar 05 2015 *)
PROG
(PARI) default(realprecision, 100); sqrt(2*Pi/exp(1)) \\ G. C. Greubel, Oct 01 2018
(Magma) SetDefaultRealField(RealField(100)); R:= RealField(); Sqrt(2*Pi(R)/Exp(1)); // G. C. Greubel, Oct 01 2018
CROSSREFS
KEYWORD
cons,nonn
AUTHOR
Benoit Cloitre, May 20 2004
STATUS
approved