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.
%I A373863 #8 Jun 28 2024 09:49:58 %S A373863 1,0,9,8,1,0,6,7,9,1,7,5,4,4,2,2,2,0,6,9,5,1,7,6,6,5,5,3,9,6,9,7,7,9, %T A373863 4,9,7,0,7,2,4,7,4,5,3,6,9,7,9,6,4,4,3,6,9,5,3,7,8,2,0,9,6,9,7,7,8,6, %U A373863 6,6,0,4,3,7,8,3,8,4,2,4,8,3,0,1,3,0,9,2 %N A373863 Decimal expansion of Sum_{k>=1} log(k)/(k^2-k+1). %F A373863 Equals Sum_{k>=1} log(k+1)/(k^2+k+1). %e A373863 1.0981067917544222069517... %p A373863 g := (1-e+e^2)^(-1) ; %p A373863 x :=0.0 ; %p A373863 for i from 0 to 350 do %p A373863 coeftayl(g,e=0,i) ; %p A373863 x-%*Zeta(1,2+i) ; %p A373863 x := evalf(%) ; %p A373863 print(%) ; %p A373863 end do: %o A373863 (PARI) default(realprecision, 200); sumpos(k=1, log(k+1)/(k^2+k+1)) \\ _Vaclav Kotesovec_, Jun 28 2024 %Y A373863 Cf. A085609, A131688. %K A373863 nonn,cons %O A373863 1,3 %A A373863 _R. J. Mathar_, Jun 19 2024