A347213 Decimal expansion of zeta(2) + zeta(3).

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

Offset

1,1

Links

Table of n, a(n) for n=1..87.

Omran Kouba, A zeta series, Solution to Problem 1930, Mathematics Magazine, Vol. 87, No. 4 (2014), pp. 296-298.

Michael I. Shamos, Shamos's catalog of the real numbers (2011).

Formula

Equals 1 + Sum_{k>=2} k * (k - Sum_{i=2..k} zeta(i)) (Kouba, 2014). - Amiram Eldar, Jun 09 2022

Example

2.8469909700078207218721533281574751799839361...

Mathematica

RealDigits[Zeta[2] + Zeta[3], 10, 100][[1]] (* Amiram Eldar, Jun 09 2022 *)

Prog

(PARI) zeta(2)+zeta(3) \\ Michel Marcus, Aug 24 2021

Crossrefs

Cf. A002117, A013661, A183699.

Cf. A347214, A347215, A347216, A347217, A347218, A347219, A347220.

Sequence in context: A019611 A138287 A101314 * A054530 A253883 A247445

Adjacent sequences: A347210 A347211 A347212 * A347214 A347215 A347216

Keyword

nonn,cons

Author

Sean A. Irvine, Aug 24 2021

Status

approved