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A347331
Decimal expansion of 691 * Pi^6 / 675675.
4
9, 8, 3, 1, 9, 4, 4, 8, 3, 6, 8, 0, 0, 7, 6, 0, 2, 1, 7, 3, 8, 0, 8, 6, 5, 5, 8, 7, 2, 1, 0, 1, 5, 5, 0, 3, 1, 8, 9, 0, 2, 9, 2, 1, 0, 6, 4, 7, 1, 3, 5, 4, 0, 0, 3, 2, 6, 0, 2, 0, 1, 2, 1, 4, 3, 6, 3, 5, 4, 5, 9, 9, 1, 4, 0, 2, 1, 3, 8, 5, 6, 5, 5, 5, 2, 4, 0
OFFSET
0,1
FORMULA
Equals zeta(12) / zeta(6).
Equals Sum_{k>=1} A008836(k) / k^6.
Equals Product_{p prime} 1/(1+p^(-6)). [corrected by Amiram Eldar, Jun 06 2023]
EXAMPLE
0.9831944836800760217380865587210155031...
MATHEMATICA
RealDigits[691 * Pi^6 / 675675, 10, 120][[1]] (* Amiram Eldar, Jun 06 2023 *)
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Sean A. Irvine, Aug 26 2021
EXTENSIONS
Data corrected by Amiram Eldar, Jun 06 2023
STATUS
approved