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

Author

Artur Jasinski, Mar 19 2025

Keywords

• cons
• nonn

Examples

			0.0174898531690114044259344452675...
		

Links

• 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)

Crossrefs

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

Programs

Mathematica

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

PARI

zetamult([4,1,1])

Formula

Equals 23*A013664/16 - A002117^2.