A381394 Decimal expansion of the multiple zeta value zetamult(8,2).

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

Offset: 0

Author

R. J. Mathar, Feb 22 2025

Keywords

• nonn
• cons

Examples

			0.004122469678399832224046956838694208855812627358468569285245...
		

Links

• 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.
• Eric Weisstein's MathWorld, Multivariate Zeta Function

Crossrefs

MZV's zetamult(a,b): A072691 (zetamult(1,1)), A258983 (zetamult(3,2)), A258984 (4,2), A258985 (5,2), A258947 (6,2), A258987 (3,3), A258988 (4,3), A258982 (5,3), A258989 (2,4), A258990 (3,4), A258991 (4,4), A381651 (4,1).

Programs

Mathematica

RealDigits[N[MZV[{8, 2}], 120], 10, 105, -1][[1]] (* Amiram Eldar, Feb 25 2025 using the HPL Package *)

PARI

zetamult([8, 2]) \\ Amiram Eldar, Feb 25 2025

Formula

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

Extensions

More terms from Amiram Eldar, Feb 25 2025

Name corrected by Peter Bala, Aug 15 2025