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%I #10 Sep 08 2022 08:45:15
%S 1,5,2,8,3,2,1,4,1,1,1,9,2,6,4,4,9,1,0,1,6,8,5,1,3,4,8,5,9,6,5,9,8,7,
%T 8,2,0,6,2,6,5,5,8,3,3,3,1,0,0,8,2,3,1,3,8,4,6,4,7,1,0,8,1,8,7,8,9,5,
%U 5,5,3,9,3,6,5,8,0,8,5,0,3,1,4,6,1,8,1,9,7,1,7,2,0,2,1,8,0,4,0,0,7,1,1,2,9
%N Decimal expansion of Sum_{n>=2} ((-1)^n)/(log(n)^n).
%H G. C. Greubel, <a href="/A099873/b099873.txt">Table of n, a(n) for n = 1..1000</a>
%e 1.52832141119264491016851348596598782062655833310082313846471081878...
%t RealDigits[ Sum[ N[(-1)^n/Log[n]^n, 128], {n, 2, 160}], 10, 111][[1]] (* _Robert G. Wilson v_, Dec 21 2004 *)
%o (PARI) sumalt(n=2,((-1)^(n))/(log(n)^n))
%o (Magma) SetDefaultRealField(RealField(100)); [(&+[(-1)^k/Log(k)^k: k in [2..1000]])]; // _G. C. Greubel_, Nov 20 2018
%o (Sage) numerical_approx(sum((-1)^k/log(k)^k for k in [2..1000]), digits=100) # _G. C. Greubel_, Nov 20 2018
%Y Cf. A099871.
%K cons,easy,nonn
%O 1,2
%A Mark Hudson (mrmarkhudson(AT)hotmail.com), Nov 02 2004
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