A365959 Decimal expansion of Sum_{k>=2} zeta(k)/k^2.

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

Offset

0,1

Links

Table of n, a(n) for n=0..105.

Michael I. Shamos, A catalog of the real numbers, 2011, p. 596.

Formula

Equals Sum_{k>=1} (polylog(2, 1/k) - 1/k).

Example

0.835998332700964322970911198696029096427042168093233248329556349257701895253...

Prog

(PARI) sumpos(k=2, zeta(k)/k^2)

Crossrefs

Cf. A231132, A256921.

Sequence in context: A113476 A171043 A124599 * A005601 A321098 A308741

Adjacent sequences: A365956 A365957 A365958 * A365960 A365961 A365962

Keyword

nonn,cons

Author

Vaclav Kotesovec, Sep 23 2023

Status

approved