A381654 Decimal expansion of the multiple zeta value (Euler sum) zetamult(2,3,1) = zetamult(3,1,2).

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

Offset

0,2

Links

Table of n, a(n) for n=0..105.

Formula

Equals 53*zeta(6)/24 - 3*zeta(3)^2/2.

Example

0.0792213975652071659990328100778...

Mathematica

kk = RealDigits[53 Zeta[6]/24 - 3 Zeta[3]^2/2, 10, 105][[1]]; Prepend[kk, 0]

Prog

(PARI) zetamult([3, 1, 2])

Crossrefs

Cf. A381651, A381651, A381653.

Sequence in context: A202323 A021562 A337608 * A243991 A021852 A154197

Adjacent sequences: A381651 A381652 A381653 * A381658 A381659 A381660

Keyword

nonn,cons,new

Author

Artur Jasinski, Mar 05 2025

Status

approved