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A374952
Decimal expansion of 7*zeta(3)/16 + Pi^2*log(2)/8, where zeta is the Riemann zeta function.
0
1, 3, 8, 1, 0, 3, 5, 9, 5, 3, 1, 1, 4, 4, 6, 2, 0, 6, 7, 9, 6, 8, 3, 2, 0, 3, 3, 9, 9, 0, 5, 5, 2, 1, 3, 7, 9, 8, 7, 2, 1, 5, 3, 8, 8, 3, 9, 2, 2, 4, 5, 7, 4, 5, 0, 1, 9, 9, 6, 3, 5, 2, 8, 6, 5, 2, 6, 6, 9, 3, 8, 6, 9, 8, 9, 6, 8, 5, 8, 0, 6, 7, 7, 9, 4, 8, 1, 8, 2, 0, 7, 9, 3, 9, 7, 3, 3, 3, 4, 8, 1, 5, 6
OFFSET
1,2
FORMULA
Equals the absolute value of Integral_{x=0..Pi/2} x*log(cos x) dx.
Equals (Pi/2) * A173623 - A173624.
EXAMPLE
1.38103595311446206796832033990552137987215388392245...
MAPLE
7*Zeta(3)/16 + Pi^2*log(2)/8 ; evalf(%) ;
MATHEMATICA
RealDigits[7*Zeta[3]/16 + Pi^2*Log[2]/8, 10, 120][[1]] (* Amiram Eldar, Aug 05 2024 *)
CROSSREFS
Sequence in context: A156827 A330963 A327195 * A140272 A210962 A021728
KEYWORD
nonn,cons
AUTHOR
R. J. Mathar, Aug 04 2024
STATUS
approved