The OEIS is supported by the many generous donors to the OEIS Foundation.

 Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 60th year, we have over 367,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”). Other ways to Give
 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A099873 Decimal expansion of Sum_{n>=2} ((-1)^n)/(log(n)^n). 3

%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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified December 7 06:17 EST 2023. Contains 367630 sequences. (Running on oeis4.)