A389652 Decimal expansion of Sum_{k>=1} 1/(12*k-11)^3.

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

Offset

1,5

Links

Jason Bard, Table of n, a(n) for n = 1..10000

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

Formula

Equals (-1/3456) * PolyGamma(2, 1/12).

Example

1.00056102267483432351236348202190186227157710996263967469556092923245656075....

Mathematica

First[RealDigits[-(1/3456)*PolyGamma[2, 1/12], 10, 100]]

Prog

(PARI) zetahurwitz(3, 1/12)/1728 \\ Charles R Greathouse IV, Jul 08 2026

Crossrefs

Sequence in context: A105580 A047774 A243108 * A355186 A287610 A298171

Adjacent sequences: A389649 A389650 A389651 * A389653 A389654 A389655

Keyword

nonn,cons,changed

Author

Jason Bard, Oct 09 2025

Status

approved