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Decimal expansion of the multiple zeta value (Euler sum) zetamult(2,3,1) = zetamult(3,1,2).
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%I #6 Mar 11 2025 17:44:53

%S 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,

%T 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,

%U 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

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

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

%e 0.0792213975652071659990328100778...

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

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

%Y Cf. A381651, A381651, A381653.

%K nonn,cons,new

%O 0,2

%A _Artur Jasinski_, Mar 05 2025