A390212 Decimal expansion of 197/1728 - (3/32) * zeta(3).

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

Offset

0,4

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 Sum_{k>=0} (-1)^k / (2*k+8)^3.

Equals Sum_{k>=4} (-1)^k / A016743(k).

Example

0.001311794958417665373404176987931192995412164722707859...

Mathematica

First[RealDigits[197/1728 - 3 Zeta[3]/32, 10, 100]]

Crossrefs

Cf. A002117, A016743.

Sequence in context: A369559 A373398 A075440 * A137470 A379712 A112492

Adjacent sequences: A390209 A390210 A390211 * A390213 A390214 A390215

Keyword

nonn,cons

Author

Jason Bard, Oct 29 2025

Status

approved