cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A343919 Decimal expansion of Sum_{k>=1} log(k+1/2)/k^2 .

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%I A343919 #8 May 04 2021 07:59:35
%S A343919 1,4,3,5,0,6,2,4,8,9,3,0,4,8,5,6,7,0,0,4,0,2,6,8,2,1,7,2,5,2,7,1,6,3,
%T A343919 6,5,4,6,9,3,1,4,0,3,2,9,6,9,5,0,8,9,9,3,7,2,8
%N A343919 Decimal expansion of Sum_{k>=1} log(k+1/2)/k^2 .
%F A343919 Sum_{k >=1 } log(k+eps)/k^2 =  -Zeta'(2) - Sum_{i=1} (-eps)^i *Zeta(i+2)/i at eps=1/2, weighted sum over Riemann-Zeta.
%e A343919 1.435062...
%o A343919 (PARI) sumpos(k=1, log(k+1/2)/k^2) \\ _Michel Marcus_, May 04 2021
%Y A343919 Cf. A073002 (eps=0).
%K A343919 nonn,cons
%O A343919 1,2
%A A343919 _R. J. Mathar_, May 04 2021