A381396 Decimal expansion of the double zeta(4,6).

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

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

0.017455194750835024735740639386668413731859282909521431006156...

Mathematica

RealDigits[N[MZV[{6, 4}], 120], 10, 105, -1][[1]] (* Amiram Eldar, Feb 25 2025 using the HPL Package *)

Prog

(PARI) zetamult([6, 4]) \\ Amiram Eldar, Feb 25 2025

Crossrefs

Sequence in context: A393630 A087491 A019899 * A357100 A085662 A379664

Adjacent sequences: A381393 A381394 A381395 * A381397 A381398 A381399

Keyword

nonn,cons

Author

R. J. Mathar, Feb 22 2025

Extensions

More terms from Amiram Eldar, Feb 25 2025

Status

approved