OFFSET
0,1
COMMENTS
The median largest prime factor of {1, 2, ..., n} is asymptotically this constant times n^(1/sqrt(e)), see A212300.
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..10000
Eric Naslund, The median largest prime factor and the mean of omega(n), arXiv:1207.0232 [math.NT], 2012-2013.
EXAMPLE
0.7738078734800378341849225710993087404686750110617475409003523676183...
MATHEMATICA
RealDigits[Exp[(EulerGamma - 1)/Sqrt[E]], 10, 100][[1]] (* G. C. Greubel, Sep 04 2018 *)
PROG
(PARI) exp((Euler-1)/exp(1/2))
(Magma) SetDefaultRealField(RealField(100)); R:= RealField(); Exp((EulerGamma(R)-1)/Sqrt(Exp(1))); // G. C. Greubel, Sep 04 2018
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Charles R Greathouse IV, Jul 03 2012
STATUS
approved