The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 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 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-François Alcover, Apr 02 2015 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

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