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Decimal expansion of Sum_{k=4,6,8,...even} log(k)/(k^2-4) .
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%I #7 May 04 2021 08:00:09

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

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

%U 2,6,3

%N Decimal expansion of Sum_{k=4,6,8,...even} log(k)/(k^2-4) .

%F Equals 3*log(2)/16 + A340440 / 4 = (3*A002162/4 + A340440)/4.

%e 0.385749...

%o (PARI) sumpos(k=2, log(2*k)/(4*k^2-4)) \\ _Michel Marcus_, May 04 2021

%Y Cf. A340440.

%K nonn,cons

%O 0,1

%A _R. J. Mathar_, May 04 2021