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A375370
Decimal expansion of log(2)/3 + zeta(3)/(2*Pi^2).
0
2, 9, 1, 9, 4, 5, 9, 7, 4, 3, 0, 3, 4, 3, 4, 9, 7, 8, 0, 3, 2, 9, 1, 3, 7, 6, 8, 0, 9, 5, 0, 3, 5, 0, 7, 5, 9, 8, 5, 8, 3, 4, 3, 4, 5, 2, 1, 0, 0, 3, 2, 9, 5, 7, 2, 1, 2, 8, 3, 7, 1, 1, 6, 2, 1, 5, 8, 7, 3, 5, 0, 9, 8, 7, 9, 7, 7, 2, 0, 3, 5, 8, 9, 0, 8, 7, 6, 9
OFFSET
0,1
LINKS
Olivier Espinosa and Victor H. Moll, On some integrals involving the Hurwitz zeta function: Part 1, Raman. J. 6 (2002) 159-188, eq. (5.7).
FORMULA
Equals -Integral_{x=0..1} x^2* log(sin(Pi*x)) dx.
EXAMPLE
0.29194597430343497803291376809503507598583434521003...
MAPLE
log(2)/3+Zeta(3)/2/Pi^2 ; evalf(%) ;
MATHEMATICA
RealDigits[Log[2] / 3 + Zeta[3] / (2*Pi^2), 10, 120][[1]] (* Amiram Eldar, Aug 19 2024 *)
CROSSREFS
Cf. A193535.
Sequence in context: A201749 A117033 A152584 * A347292 A021778 A095178
KEYWORD
nonn,cons
AUTHOR
R. J. Mathar, Aug 13 2024
STATUS
approved