A387915 Decimal expansion of Sum_{k>=1} 1/(12*k-2)^3.

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

Offset

0,5

Links

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

Michael I. Shamos, Shamos's Catalog of the Real Numbers, 2011, p. 29.

Formula

Equals (-1/3456) * PolyGamma(2, 5/6).

Equals (91*zeta(3) - 2*sqrt(3)*Pi^3)/1728. - Vaclav Kotesovec, Oct 18 2025

Example

0.00114484089113910727841124756812153617953604802644087827...

Mathematica

First[RealDigits[-1/3456 * PolyGamma[2, 5/6], 10, 100, -1]]
RealDigits[(91*Zeta[3] - 2*Sqrt[3]*Pi^3)/1728, 10, 100, -1][[1]] (* Vaclav Kotesovec, Oct 18 2025 *)

Crossrefs

Sequence in context: A358561 A176295 A140874 * A355234 A021227 A349778

Adjacent sequences: A387912 A387913 A387914 * A387916 A387917 A387918

Keyword

nonn,cons

Author

Jason Bard, Oct 16 2025

Status

approved