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A256568
Decimal expansion of Integral_{0..Pi/2} x^2*log(cos(x))^2 dx, one of the log-cosine integrals related to zeta(3).
1
4, 2, 6, 7, 1, 5, 2, 3, 6, 0, 9, 8, 4, 0, 9, 8, 8, 6, 5, 2, 3, 0, 1, 0, 9, 1, 8, 3, 4, 1, 8, 1, 5, 1, 2, 7, 8, 9, 2, 7, 8, 3, 3, 9, 5, 8, 0, 9, 2, 0, 5, 9, 1, 8, 2, 8, 5, 0, 5, 1, 6, 7, 0, 9, 8, 0, 3, 4, 0, 9, 0, 8, 0, 8, 1, 6, 2, 2, 3, 0, 2, 2, 6, 6, 0, 4, 7, 3, 7, 9, 5, 3, 0, 5, 4, 2, 3, 9, 4, 5, 3, 0, 6, 7, 4
OFFSET
1,1
LINKS
Mark W. Coffey, On some log-cosine integrals related to zeta(3), zeta(4), and zeta(6), Journal of Computational and Applied Mathematics 159 (2003) p. 207.
FORMULA
Pi/1440*(11*Pi^4 + 60*Pi^2*log(2)^2 + 720*log(2)*zeta(3)).
EXAMPLE
4.26715236098409886523010918341815127892783395809205918285...
MATHEMATICA
Pi/1440*(11*Pi^4 + 60*Pi^2*Log[2]^2 + 720*Log[2]*Zeta[3]) // RealDigits[#, 10, 105]& // First
CROSSREFS
Cf. A002117.
Sequence in context: A376240 A338915 A173197 * A138947 A083412 A086399
KEYWORD
nonn,cons,easy
AUTHOR
STATUS
approved