OFFSET
0,4
FORMULA
Equals Sum_{k>=2} 1/A001597(k)^2.
Equals Sum_{k>=2} mu(k)*(1 - zeta(2*k)). - Amiram Eldar, Jan 27 2021
EXAMPLE
Equals 1/4^2 + 1/8^2 + 1/9^2 + 1/16^2 + 1/25^2 + 1/27^2 + 1/32^2 + 1/36^2 + 1/49^2 + 1/64^2 + 1/81^2 + 1/100^2 + ... = 0.10047532720009377586014895164367950389302883992472...
MATHEMATICA
RealDigits[Sum[MoebiusMu[k]*(1 - Zeta[2*k]), {k, 2, 200}], 10, 105][[1]] (* Amiram Eldar, Jan 27 2021 *)
PROG
(PARI) suminf(k=2, moebius(k)*(1-zeta(2*k))) \\ Hugo Pfoertner, Jan 27 2021
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Jon E. Schoenfield, Jan 26 2021
STATUS
approved