A381395 Decimal expansion of the double zeta(3,7).

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

Offset

0,3

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

0.0084196685030963324239685797146706506369178750639580922725745...

Mathematica

RealDigits[N[MZV[{7, 3}], 120], 10, 105, -1][[1]] (* Amiram Eldar, Feb 25 2025 using the HPL Package *)

Prog

(PARI) zetamult([7, 3]) \\ Amiram Eldar, Feb 25 2025

Crossrefs

Sequence in context: A145435 A379709 A197477 * A133839 A080828 A131916

Adjacent sequences: A381392 A381393 A381394 * A381396 A381397 A381398

Keyword

nonn,cons,changed

Author

R. J. Mathar, Feb 22 2025

Extensions

More terms from Amiram Eldar, Feb 25 2025

Status

approved