A389778 Decimal expansion of (13/12) - zeta(4).

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

Offset

0,8

Links

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

Michael I. Shamos, Shamos's Catalog of the Real Numbers, 2011, p. 28.

Formula

Equals Sum_{k>=2} 1/(k^10 - k^4).

Example

0.00101009962219514181732963679216543055858238141460642565...

Mathematica

First[RealDigits[Re[Sum[1/(k^10 - k^4), {k, 2, Infinity}]], 10, 100, -1]]
First[RealDigits[13/12 - Zeta[4], 10, 100, -1]]

Crossrefs

Cf. A013662.

Sequence in context: A175571 A388876 A019894 * A347150 A346850 A388959

Adjacent sequences: A389775 A389776 A389777 * A389779 A389780 A389781

Keyword

nonn,cons

Author

Jason Bard, Oct 14 2025

Status

approved