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A093814
Decimal expansion of sqrt(2*Pi/e).
1
1, 5, 2, 0, 3, 4, 6, 9, 0, 1, 0, 6, 6, 2, 8, 0, 8, 0, 5, 6, 1, 1, 9, 4, 0, 1, 4, 6, 7, 5, 4, 9, 7, 5, 6, 2, 7, 0, 3, 6, 1, 0, 7, 4, 1, 8, 7, 7, 9, 0, 4, 6, 3, 3, 7, 5, 2, 8, 3, 6, 3, 8, 6, 8, 5, 2, 6, 7, 3, 4, 6, 2, 3, 9, 3, 0, 0, 5, 8, 3, 0, 4, 3, 1, 4, 8, 4, 1, 5, 3, 7, 2, 5, 9, 5, 6, 5, 5, 7, 7, 0, 7, 1, 6, 5, 8
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
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
Equals A019727*A092605. - Michel Marcus, Oct 02 2018
Sequence in context: A078110 A334708 A201528 * A212155 A269328 A063377
KEYWORD
cons,nonn
AUTHOR
Benoit Cloitre, May 20 2004
STATUS
approved