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 A369883 #14 Aug 05 2024 13:40:17 %S A369883 3,6,1,3,2,8,6,1,6,8,8,8,2,2,2,5,8,4,6,9,7,1,6,1,6,5,7,6,7,8,7,3,9,9, %T A369883 3,8,9,5,4,5,9,0,6,4,1,5,4,7,3,0,2,3,9,6,1,7,1,3,7,7,2,3,4,5,7,8,8,8, %U A369883 1,7,6,7,0,8,1,4,9,0,5,8,8,5,8,4,5,0,4,8,8,5,7,9,3,7,8,0,7,8,2,8,8,3,5,3,5 %N A369883 Decimal expansion of Integral_{x=0..1} x/(1 - log(x)) dx. %H A369883 Michael Ian Shamos, <a href="https://citeseerx.ist.psu.edu/pdf/ae33a269baba5e8b1038e719fb3209e8a00abec5">A catalog of the real numbers</a> (2011), p. 397. %H A369883 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/ExponentialIntegral.html">Exponential Integral</a>. %H A369883 Wikipedia, <a href="https://en.wikipedia.org/wiki/Exponential_integral">Exponential Integral</a>. %F A369883 Equals Integral_{x=0..1} x/(1 - log(x)) dx. %F A369883 Equals - e^2*Ei(-2), where Ei(x) is the Exponential Integral function [Shamos]. %F A369883 Equals Integral_{x=0..oo} dx/(e^x*(x + 2)) [Shamos]. %e A369883 0.361328616888222584697161657678739938954590641... %t A369883 RealDigits[-E^2 * ExpIntegralEi[-2], 10, 120][[1]] (* _Amiram Eldar_, Feb 04 2024 *) %o A369883 (PARI) intnum(x=0,1,x/(1-log(x))) %Y A369883 Cf. A073003, A091725, A099285. %K A369883 nonn,cons %O A369883 0,1 %A A369883 _Claude H. R. Dequatre_, Feb 04 2024