OFFSET
0,1
REFERENCES
L. B. W. Jolley, Summation of Series, Dover, 1961, Eq. (310).
LINKS
Michael I. Shamos, Shamos's catalog of the real numbers (2011).
FORMULA
Equals 2^2 * 809 * Pi^9 / (3^13 * 5 * 7 * sqrt(3)).
Equals 1 + Sum_{k>=1} ( 1/(3*k+1)^9 - 1/(3*k-1)^9 ).
Equals Product_{p prime} (1 - Kronecker(-3, p)/p^9)^(-1) = Product_{p prime != 3} (1 + (-1)^(p mod 3)/p^9)^(-1). - Amiram Eldar, Nov 06 2023
EXAMPLE
0.998050195657077237227863822730...
MATHEMATICA
RealDigits[3236 * Pi^9 / (55801305 * Sqrt[3]), 10, 120][[1]] (* Amiram Eldar, Jun 12 2023 *)
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Sean A. Irvine, Aug 17 2021
STATUS
approved