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%I #6 Mar 30 2012 18:58:03
%S 1,2,3,5,3,4,6,2,3,3,4,6,4,6,8,7,1,6,8,0,3,1,0,1,5,6,3,0,6,3,7,1,6,4,
%T 7,0,1,6,9,5,9,6,7,0,1,4,5,1,7,1,8,5,3,0,6,1,5,4,8,8,5,4,3,3,3,9,4,0,
%U 3,6,9,6,0,6,1,8,5,1,6,7,5,8,4,6,7,2,6,8,2,4,1,1,4,7,7,9,7,5,3
%N Decimal expansion of the number x satisfying x^2+x=e^x.
%C See A201741 for a guide to related sequences. The Mathematica program includes a graph.
%e x=-1.235346233464687168031015630637164701695...
%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, -2, 2}, {AxesOrigin -> {0, 0}}]
%t r = x /. FindRoot[f[x] == g[x], {x, -1.3, -1.2}, WorkingPrecision -> 110]
%t RealDigits[r] (* A201769 *)
%Y Cf. A201741.
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Dec 05 2011
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