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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 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..105.

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: A200347 A135853 A173197 * A138947 A083412 A086399

Adjacent sequences:  A256565 A256566 A256567 * A256569 A256570 A256571

KEYWORD

nonn,cons,easy

AUTHOR

Jean-Fran├žois Alcover, Apr 02 2015

STATUS

approved

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Last modified January 26 16:58 EST 2020. Contains 331280 sequences. (Running on oeis4.)