A377588 Decimal expansion of 7*zeta(3)/(2*Pi^2) - log(2) + 1/2.

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

Offset

0,1

References

Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 1.6.3, pp. 43-44.

Links

Table of n, a(n) for n=0..99.

Formula

Equals Sum_{k>=1} zeta(2*k)/((k + 1)*2^(2*k)) (see Finch).

Example

0.233131218257560481506289305137990304982506635269...

Mathematica

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

Crossrefs

Cf. A002117, A002162, A094642, A164102, A244009, A377589, A377592.

Sequence in context: A295634 A317665 A329315 * A109199 A279813 A256909

Adjacent sequences: A377585 A377586 A377587 * A377589 A377590 A377591

Keyword

nonn,cons

Author

Stefano Spezia, Nov 02 2024

Status

approved