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%I #20 Mar 09 2024 08:19:02
%S 1,0,7,3,2,5,3,7,1,6,4,2,0,3,0,2,3,9,6,9,5,0,6,0,2,4,8,5,0,2,1,8,2,8,
%T 8,0,3,2,4,7,2,7,9,8,9,8,2,0,4,3,6,1,5,7,4,8,7,9,3,3,8,9,2,4,6,9,8,2,
%U 7,9,9,0,2,0,8,7,4,8,6,9,4,5,1,6,8,5,3,4,3,9,9,1,9,9,3,2,6,1,2,5,3,9,7,1,0,7
%N Decimal expansion of Sum_{k>=2} log(k)/(k^2-1)^2.
%F Equals -Sum_{i>=1} i*zeta'(2*i+2) = A261506 - Sum_{i>=2} i*zeta'(2*i+2).
%e 0.10732537164203023969506024850218288032472798982043615...
%p evalf(-Zeta'(4) - Sum(i * Zeta'(2*i+2), i = 2 .. infinity), 120); # _Amiram Eldar_, Mar 09 2024
%o (PARI) sumpos(k=2, log(k)/(k^2-1)^2) \\ _Michel Marcus_, Jan 09 2021
%o (PARI) -zeta'(4) - sumpos(i=2, i*zeta'(2*i+2)) \\ _Amiram Eldar_, Mar 09 2024
%Y Cf. A261506, A340440, A340484.
%K nonn,cons
%O 0,3
%A _R. J. Mathar_, Jan 09 2021
%E More terms from _Amiram Eldar_, Mar 09 2024
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