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A239120
Decimal expansion of 1/2 - Pi/8.
0
1, 0, 7, 3, 0, 0, 9, 1, 8, 3, 0, 1, 2, 7, 5, 8, 4, 5, 1, 9, 2, 1, 6, 9, 5, 7, 7, 0, 9, 0, 0, 6, 2, 1, 3, 9, 4, 7, 5, 3, 5, 3, 8, 2, 5, 0, 7, 8, 1, 1, 1, 7, 7, 2, 3, 7, 8, 1, 3, 1, 9, 2, 5, 9, 6, 1, 5, 2, 2, 9, 4, 9, 2, 1, 4, 2, 2, 3, 8, 7, 5, 1, 7, 1, 4, 9, 5, 6, 4, 6, 8, 3, 2, 2, 3, 5, 3, 6, 6, 5, 0, 2, 2, 3, 1
OFFSET
0,3
FORMULA
Equals 1/2 - A019675 = A210958/2.
Equals Sum_{k>=1} zeta(2*k)/16^k. - Amiram Eldar, May 27 2021
Equals Sum_{k >= 1} (-1)^(k+1)/(4*k^2 - 1)^2. - Peter Bala, Feb 28 2024
EXAMPLE
0.10730091830127584519216957709006213947535382507811....
MATHEMATICA
RealDigits[1/2-Pi/8, 10, 120][[1]] (* Harvey P. Dale, Sep 25 2017 *)
PROG
(PARI) 1/2 - Pi/8
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Paul Curtz, Mar 10 2014
STATUS
approved