OFFSET
0,1
COMMENTS
From Amiram Eldar, Oct 16 2020: (Start)
Equals -1/(rho * zeta'(rho)), where rho is the root of zeta(rho) = 2 (A107311).
Equals lim_{k->oo} A173382(k)/k^rho. (End)
REFERENCES
Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, page 293.
EXAMPLE
0.318173652...
MATHEMATICA
rho = x /. FindRoot[Zeta[x] == 2, {x, 2}, WorkingPrecision -> 100]; RealDigits[-1/(rho*Zeta'[rho])] // First
PROG
(PARI) a217598={my(rho=solve(x=1.1, 2, zeta(x)-2)); -1/(rho*zeta'(rho))} \\ Hugo Pfoertner, Oct 16 2020
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Jean-François Alcover, Mar 19 2013
STATUS
approved