A377636 Decimal expansion of 2*zeta(3)/Pi^2 - 11/18 + log(Pi)/3.

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

Offset

-1,2

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.

Formula

Equals Sum_{k>=1} zeta(2*k)/(k*(k + 1)*(2*k + 1)*(2*k + 3)*2^(2*k)) [Wilton] (see Finch).

Example

0.01405317397250177984537691644248000594732436155378...

Mathematica

RealDigits[2Zeta[3]/Pi^2-11/18+Log[Pi]/3, 10, 100][[1]]

Crossrefs

Cf. A000302, A002117, A002388, A005408, A005843, A053510, A152648.

Sequence in context: A306072 A185199 A201196 * A019906 A197251 A049247

Adjacent sequences: A377633 A377634 A377635 * A377637 A377638 A377639

Keyword

nonn,cons

Author

Stefano Spezia, Nov 03 2024

Status

approved