A388002 Decimal expansion of Sum_{k>=2} 1/(k^10-1).

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

Offset

0,4

Links

Jason Bard, Table of n, a(n) for n = 0..2002

Michael Ian Shamos, Shamos's Catalog of the Real Numbers, (2011). See p. 28.

Formula

Equals Sum_{k>=1} (zeta(10*k) - 1).

Example

0.000995530022089774383584374769054647501054016997353777191756...

Mathematica

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

Prog

(PARI) sumpos(k = 2, 1/(k^10-1)) \\ Amiram Eldar, Oct 14 2025

Crossrefs

Cf. A013668.

Sequence in context: A376642 A347166 A347081 * A347152 A131744 A076416

Adjacent sequences: A387999 A388000 A388001 * A388003 A388004 A388005

Keyword

nonn,cons

Author

Jason Bard, Oct 14 2025

Status

approved