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%I #5 Mar 30 2012 18:58:03
%S 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 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 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 Decimal expansion of x>0 satisfying x^2+x=e^(-x).
%C See A201936 for a guide to related sequences. The Mathematica program includes a graph.
%e x=0.444130228823966590585466329490984667...
%t a = 1; b = 1; c = 0;
%t f[x_] := a*x^2 + b*x + c; g[x_] := E^-x
%t Plot[{f[x], g[x]}, {x, -1, 2}, {AxesOrigin -> {0, 0}}]
%t r = x /. FindRoot[f[x] == g[x], {x, .4, .5}, WorkingPrecision -> 110]
%t RealDigits[r] (* A201941 *)
%Y Cf. A201936.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Dec 13 2011
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