OFFSET
0,1
COMMENTS
1/zeta(8) is the probability that 8 randomly selected numbers will be coprime.
LINKS
Karl-Heinz Hofmann, Table of n, a(n) for n = 0..10000
Wikipedia, Riemann zeta function.
FORMULA
Equals 1/A013666 = 9450/Pi^8.
From Amiram Eldar, Jun 01 2023: (Start)
Equals Sum_{k>=1} mu(k)/k^8, where mu is the Möbius function (A008683).
Equals Product_{p prime} (1 - 1/p^8). (End)
EXAMPLE
0.9959392011255151468348364728055453240050227784589...
MAPLE
evalf(9450/Pi^8, 100) ; # R. J. Mathar, Jun 04 2021
MATHEMATICA
RealDigits[1/Zeta[8], 10, 100][[1]] (* Amiram Eldar, May 18 2021 *)
PROG
(PARI) 1/zeta(8)
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Karl-Heinz Hofmann, May 18 2021
STATUS
approved