A396444 Decimal expansion of Sum_{k>=1} (zeta(2*k)/k)*(1/6)^(2*k).

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

Offset

0,2

References

H. M. Srivastava and Junesang Choi, Zeta and q-Zeta Functions and Associated Series and Integrals, Elsevier Insights, 2011, p. 273, eq. (40).

Links

Table of n, a(n) for n=0..104.

Formula

Equals log(Pi/3) = log(A019670) = A053510 - A002391.

Example

0.046117597181290482748182114430533006999804255092562...

Mathematica

RealDigits[Log[Pi/3], 10, 120, -1][[1]]

Prog

(PARI) log(Pi/3)

Crossrefs

Cf. A002391, A019670, A053510, A094642, A255681, A256921, A256922, A256923, A256929, A256930, A377008, A396436, A396437, A396438, A396439, A396440, A396441, A396442, A396443, A396445.

Sequence in context: A019646 A238582 A386714 * A395934 A384213 A154748

Adjacent sequences: A396441 A396442 A396443 * A396445 A396446 A396447

Keyword

nonn,cons

Author

Amiram Eldar, May 26 2026

Status

approved