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 A300304 #23 Dec 23 2024 14:53:45 %S A300304 7,2,2,8,9,2,0,8,1,1,8,3,1,4,7,7,9,5,5,3,2,3,6,5,3,5,1,2,1,9,7,7,1,6, %T A300304 7,4,3,5,5,8,7,7,7,3,6,7,6,8,6,4,1,7,2,0,1,2,5,4,3,6,5,1,5,1,9,9,1,3, %U A300304 3,4,3,4,8,7,5,2,4,6,9,4,3,1,3,0,9,4,6,5,3,8,4,4,2,5,8,3 %N A300304 Decimal expansion of the solution to 2*(1-x)^x = x^x. %H A300304 G. C. Greubel, <a href="/A300304/b300304.txt">Table of n, a(n) for n = 0..10000</a> %H A300304 Seqfan Mailing List Thread, <a href="https://web.archive.org/web/*/http://list.seqfan.eu/oldermail/seqfan/2018-February/018379.html">2(x - 1)^x = x^x</a>, with contributions from _Juri-Stepan Gerasimov_, _Robert G. Wilson v_, _Neil Fernandez_, _Simon Plouffe_, _Walter Kehowski_, _G. C. Greubel_. %F A300304 x = 1 / (1 + W(log(2)/2)/log(2)), where W(x) is the Lambert W-function; from _G. C. Greubel_. %e A300304 0.7228920811831477955323653512197716743558777367686417201254365151991... %t A300304 RealDigits[1/(1 + LambertW[Log[2]/2]/Log[2]), 10, 100][[1]] (* _G. C. Greubel_, Mar 02 2018 *) %o A300304 (PARI) 1/(1 + lambertw(log(2)/2)/log(2)) \\ _G. C. Greubel_, Mar 02 2018 %K A300304 nonn,cons %O A300304 0,1 %A A300304 _Hugo Pfoertner_, Mar 02 2018