A374952 Decimal expansion of 7*zeta(3)/16 + Pi^2*log(2)/8, where zeta is the Riemann zeta function.

1, 3, 8, 1, 0, 3, 5, 9, 5, 3, 1, 1, 4, 4, 6, 2, 0, 6, 7, 9, 6, 8, 3, 2, 0, 3, 3, 9, 9, 0, 5, 5, 2, 1, 3, 7, 9, 8, 7, 2, 1, 5, 3, 8, 8, 3, 9, 2, 2, 4, 5, 7, 4, 5, 0, 1, 9, 9, 6, 3, 5, 2, 8, 6, 5, 2, 6, 6, 9, 3, 8, 6, 9, 8, 9, 6, 8, 5, 8, 0, 6, 7, 7, 9, 4, 8, 1, 8, 2, 0, 7, 9, 3, 9, 7, 3, 3, 3, 4, 8, 1, 5, 6

Offset: 1

Author

R. J. Mathar, Aug 04 2024

Keywords

• nonn
• cons

Examples

			1.38103595311446206796832033990552137987215388392245...
		

Crossrefs

Cf. A173623, A173624.

Programs

Maple

7*Zeta(3)/16 + Pi^2*log(2)/8 ; evalf(%) ;

Mathematica

RealDigits[7*Zeta[3]/16 + Pi^2*Log[2]/8, 10, 120][[1]] (* Amiram Eldar, Aug 05 2024 *)

Formula

Equals the absolute value of Integral_{x=0..Pi/2} x*log(cos x) dx.

Equals (Pi/2) * A173623 - A173624.