A377594 Decimal expansion of 1/4 - 7*zeta(3)/(4*Pi^2).

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

Offset

-1,1

References

Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 1.6.3, p. 44.

Links

Table of n, a(n) for n=-1..98.

Michael I. Shamos, A catalog of the real numbers, (2007). See p. 69.

Formula

Equals Sum_{k>=1} zeta(2*k)/((2*k + 1)*(2*k + 2)*2^(2*k)) [Euler] (see Finch and Shamos).

Example

0.036860800591247104538239286701916563470996615185...

Mathematica

RealDigits[1/4-7Zeta[3]/(4Pi^2), 10, 100][[1]]

Crossrefs

Cf. A000302, A002117, A005408, A212002.

Sequence in context: A345204 A009393 A077857 * A181165 A181906 A181915

Adjacent sequences: A377591 A377592 A377593 * A377595 A377596 A377597

Keyword

nonn,cons

Author

Stefano Spezia, Nov 02 2024

Status

approved