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 A201941 #16 Nov 03 2024 09:31:54
%S A201941 4,4,4,1,3,0,2,2,8,8,2,3,9,6,6,5,9,0,5,8,5,4,6,6,3,2,9,4,9,0,9,8,4,6,
%T A201941 6,7,0,7,9,3,2,0,9,6,9,9,4,2,1,3,7,7,5,6,9,5,9,1,8,2,6,3,4,4,1,1,8,9,
%U A201941 3,8,6,8,5,7,4,5,2,8,5,0,8,3,6,5,4,3,8,0,2,1,0,4,2,9,8,5,4,9,0
%N A201941 Decimal expansion of x>0 satisfying x^2+x=e^(-x).
%C A201941 See A201936 for a guide to related sequences. The Mathematica program includes a graph.
%C A201941 1/(x+1) is the solution for real valued z in the equations dW(z)/dz=W(z) and 1=z(W(z)+1) where W(z) is the 0 branch of the Lambert W function. - _Colin Linzer_, Nov 01 2024
%e A201941 x=0.444130228823966590585466329490984667...
%t A201941 a = 1; b = 1; c = 0;
%t A201941 f[x_] := a*x^2 + b*x + c; g[x_] := E^-x
%t A201941 Plot[{f[x], g[x]}, {x, -1, 2}, {AxesOrigin -> {0, 0}}]
%t A201941 r = x /. FindRoot[f[x] == g[x], {x, .4, .5}, WorkingPrecision -> 110]
%t A201941 RealDigits[r] (* A201941 *)
%Y A201941 Cf. A201936.
%K A201941 nonn,cons
%O A201941 0,1
%A A201941 _Clark Kimberling_, Dec 13 2011