OFFSET
0,2
COMMENTS
Number theory use in Cellarosi et al., p. 9. Abstract: "We present a limit theorem describing the behavior of a probabilistic model for squarefree numbers. The limiting distribution has a density that comes from the Dickman-De Bruijn function and is constant on the interval [0,1]. We also provide estimates for the error term in the limit theorem."
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..10000
Francesco Cellarosi, Yakov G. Sinai, Non-Standard Limit Theorems in Number Theory, arXiv:1010.0035 [math.PR], 2010.
EXAMPLE
0.046467618287141458839133564467485...
MATHEMATICA
Join[{0}, RealDigits[1/Zeta[2] - Exp[-EulerGamma], 10, 100][[1]]] (* G. C. Greubel, Sep 06 2018 *)
PROG
(PARI) 1/zeta(2) - exp(-Euler) \\ Charles R Greathouse IV, Mar 10 2016
(Magma) SetDefaultRealField(RealField(100)); R:= RealField(); 6/Pi(R)^2 - Exp(-EulerGamma(R)); // G. C. Greubel, Sep 06 2018
CROSSREFS
KEYWORD
cons,nonn
AUTHOR
Jonathan Vos Post, Oct 03 2010
EXTENSIONS
Offset and leading zeros normalized by R. J. Mathar, Oct 05 2010
STATUS
approved