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A340484 Decimal expansion of Sum_{k>=2} (log k)^2/(k^2-1). 2

%I #8 Jan 09 2021 17:11:41

%S 2,0,6,7,0,2,8,7,5,1,8,3,8,6,5,0,6,7,1,4,2,0,1,8,4,7,8,2,7,0,5,3,8,1,

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

%U 9,7,9,7,9,5,6,1

%N Decimal expansion of Sum_{k>=2} (log k)^2/(k^2-1).

%F Equals Sum_{i>=1} Zeta''(2*i) = A201994 + A340443 + Sum_{i>=3} Zeta''(2*i).

%e 2.0670287518386506714201847827053819302773427525873369704342178841959...

%o (PARI) sumpos(k=2, log(k)^2/(k^2-1)) \\ _Michel Marcus_, Jan 09 2021

%Y Cf. A340440, A340485.

%K nonn,cons

%O 1,1

%A _R. J. Mathar_, Jan 09 2021

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Last modified September 6 14:51 EDT 2024. Contains 375715 sequences. (Running on oeis4.)