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).

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

Author

Jean-François Alcover, Apr 02 2015

Keywords

• nonn
• cons
• easy

Examples

			4.26715236098409886523010918341815127892783395809205918285...
		

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.

Crossrefs

Cf. A002117.

Programs

Mathematica

Pi/1440*(11*Pi^4 + 60*Pi^2*Log[2]^2 + 720*Log[2]*Zeta[3]) // RealDigits[#, 10, 105]& // First

Formula

Pi/1440*(11*Pi^4 + 60*Pi^2*log(2)^2 + 720*log(2)*zeta(3)).