A212299 Decimal expansion of exp((gamma - 1)/sqrt(e)).

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

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

Cf. A212300, A001620.

Sequence in context: A153102 A155959 A063736 * A193751 A290565 A319263

Adjacent sequences: A212296 A212297 A212298 * A212300 A212301 A212302

Keyword

nonn,cons

Author

Charles R Greathouse IV, Jul 03 2012

Status

approved