A381657 Decimal expansion of the multiple zeta value (Euler sum) zetamult(4, 1, 1).

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

Offset

0,3

Links

Table of n, a(n) for n=0..106.

Artur Jasinski, Complete list of formulas of the positive multiple zeta values up to weight 6 (2025)

Index to constants which are multiple zeta values (4,1,1)

Formula

Equals 23*A013664/16 - A002117^2.

Example

0.0174898531690114044259344452675...

Mathematica

RealDigits[23 Zeta[6]/16 - Zeta[3]^2, 10, 106][[1]]

Prog

(PARI) zetamult([4, 1, 1])

Crossrefs

Cf. A381651, A381652, A381653, A381654, A381655, A381656.

Sequence in context: A391145 A153042 A330595 * A119824 A383173 A388679

Adjacent sequences: A381654 A381655 A381656 * A381658 A381659 A381660

Keyword

cons,nonn

Author

Artur Jasinski, Mar 19 2025

Status

approved