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 A240243 #10 Nov 09 2017 05:05:49 %S A240243 1,5,0,6,4,5,8,7,4,2,5,8,9,7,4,5,9,4,6,0,5,8,0,8,1,7,9,8,0,9,2,5,0,8, %T A240243 9,0,1,6,2,9,6,5,9,9,0,0,9,8,7,2,2,0,6,0,6,1,5,2,1,2,1,1,4,3,6,5,0,0, %U A240243 6,3,5,6,2,1,3,9,9,3,4,4,7,5,4,7,8,6,3,9,5,3,0,5,5,1,4,7,3,0,6,6 %N A240243 Decimal expansion of Integral_(x=c..infinity) (log(x)/(1+x))^2 dx, where c = A141251 = e^(LambertW(1/e)+1) corresponds to the maximum of the function. %H A240243 G. C. Greubel, <a href="/A240243/b240243.txt">Table of n, a(n) for n = 1..5000</a> %F A240243 A195055 = A013661 + A240242 + A240243. %e A240243 1.50645874258974594605808179809250890162965990098722060615212114365006356... %t A240243 w = ProductLog[1/E]; w + w^2 + 2 *Log[1+w]*(1+w) - 2*PolyLog[2, -w] // RealDigits[#, 10, 100]& // First %o A240243 (PARI) (w -> w + w^2 + 2*(1+w)*log(1+w) - 2*polylog(2, -w))(lambertw(exp(-1))) %Y A240243 Cf. A013661, A141251, A195055, A240242. %K A240243 nonn,cons %O A240243 1,2 %A A240243 _Jean-François Alcover_, Apr 03 2014