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 A335028 #7 May 20 2020 07:40:12
%S A335028 6,9,8,4,8,2,6,4,2,7,1,7,8,8,4,2,7,2,2,6,7,2,3,0,3,5,8,4,9,7,7,1,2,4,
%T A335028 4,4,5,6,2,8,4,8,3,6,6,9,3,2,9,2,9,7,9,3,6,9,9,3,7,2,3,6,6,2,3,3,4,5,
%U A335028 9,0,3,0,1,2,5,4,3,6,9,0,4,3,0,0,6,9,8
%N A335028 Decimal expansion of Pi*(exp(1/e) - 1)/2.
%C A335028 The value of an integral (see formula) first calculated by Cauchy in 1825 (with an error that was corrected in 1826).
%H A335028 Harold P. Boas, <a href="https://doi.org/10.1080/00029890.2017.1389200">Cauchy’s Residue Sore Thumb</a>, The American Mathematical Monthly, Vol. 125, No. 1 (2018), pp. 16-28, <a href="https://arxiv.org/abs/1701.04887">preprint</a>, arXiv:1701.04887v1 [math.HO], 2017.
%H A335028 Augustin-Louis Cauchy, <a href="https://archive.org/details/bub_gb_Hx0paIDkUbQC/page/n67/mode/2up">Mémoire sur les intégrales définies prises entre des limites imaginaires</a>, Paris, 1825, p. 65, equation 24.
%H A335028 Augustin-Louis Cauchy, <a href="https://archive.org/details/bub_gb_BmOo00FGCuAC/page/n115/mode/2up">Exercices de mathématiques</a>, Paris, 1826, p. 108, equation 48.
%F A335028 Equals Integral_{x=0..oo} (exp(cos(x)) * sin(sin(x)) * x /(x^2 + 1)) * dx.
%e A335028 0.69848264271788427226723035849771244456284836693292...
%t A335028 RealDigits[Pi*(Exp[1/E] - 1)/2, 10, 100][[1]]
%o A335028 (PARI) Pi*(exp(1/exp(1)) - 1)/2 \\ _Michel Marcus_, May 20 2020
%Y A335028 Cf. A000796 (Pi), A001113 (e), A019609 (Pi*e), A019610(Pi*e/2), A073229 (e^(1/e)), A335027.
%K A335028 nonn,cons
%O A335028 0,1
%A A335028 _Amiram Eldar_, May 20 2020