A381397 Decimal expansion of the double zeta(2,10).

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

Offset

0,4

Links

Table of n, a(n) for n=0..104.

Richard E. Crandall and Joe P. Buhler, On the evaluation of Euler Sums, Exp. Math. 3 (4) (1994), 275-285, Table 1.

Debra Maître, Mathematica Package HPL.

Formula

zeta(r,s) = Sum_{1<=m<n} 1/(n^s m^r).

Example

0.0009992067872096918404338014882158376091410192328194096848822...

Mathematica

RealDigits[N[MZV[{10, 2}], 120], 10, 105, -1][[1]] (* Amiram Eldar, Feb 25 2025 using the HPL Package *)

Prog

(PARI) zetamult([10, 2]) \\ Amiram Eldar, Feb 25 2025

Crossrefs

Sequence in context: A346927 A389381 A197149 * A274031 A111623 A229985

Adjacent sequences: A381394 A381395 A381396 * A381398 A381399 A381400

Keyword

cons,nonn

Author

R. J. Mathar, Feb 22 2025

Extensions

More terms from Amiram Eldar, Feb 25 2025

Status

approved