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

1,2

Links

Table of n, a(n) for n=1..103.

Formula

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

Equals (Pi/2) * A173623 - A173624.

Example

1.38103595311446206796832033990552137987215388392245...

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 *)

Crossrefs

Cf. A173623, A173624.

Sequence in context: A156827 A330963 A327195 * A140272 A210962 A021728

Adjacent sequences: A374949 A374950 A374951 * A374953 A374954 A374955

Keyword

nonn,cons

Author

R. J. Mathar, Aug 04 2024

Status

approved