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 A194625 #10 May 14 2019 21:40:25
%S A194625 6,3,6,2,6,2,9,3,9,2,9,4,5,3,1,0,1,9,9,8,7,5,1,3,7,5,5,2,0,4,2,3,3,1,
%T A194625 7,3,1,1,7,8,6,7,0,5,7,9,3,6,2,6,2,2,9,4,8,8,6,5,4,0,6,4,5,4,0,6,3,8,
%U A194625 9,2,1,4,4,0,2,7,9,9,2,7,3,3,9,0,9,1,4,8,0,5,4,8,9,4,6,9,6,2,0,7
%N A194625 Decimal expansion of the larger solution to x^x = 3/4.
%C A194625 Since (1/e)^(1/e) < 3/4 < 1, the equation x^x = 3/4 has two solutions x = a and x = b with 0 < a < 1/e < b < 1. Both solutions are transcendental (see Proposition 2.2 in Sondow-Marques 2010).
%H A194625 J. Sondow and D. Marques, <a href="http://arxiv.org/abs/1108.6096">Algebraic and transcendental solutions of some exponential equations</a>, Annales Mathematicae et Informaticae 37 (2010) 151-164.
%H A194625 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>
%e A194625 0.636262939294531019987513755204233173117867057936262294886540645406389214402799...
%t A194625 x = x /. FindRoot[x^x == 3/4, {x, 0.7}, WorkingPrecision -> 120]; RealDigits[x, 10, 100] // First
%Y A194625 Cf. A030798 (x^x = 2), A072364 ((1/e)^(1/e)), A194624 (smaller solution to x^x = 3/4).
%K A194625 nonn,cons
%O A194625 0,1
%A A194625 _Jonathan Sondow_, Sep 02 2011