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%I #5 Mar 30 2012 18:58:03
%S 2,9,0,3,4,4,6,8,7,9,0,2,6,8,9,6,8,5,8,2,8,6,8,8,8,1,7,7,0,3,4,0,7,5,
%T 9,0,0,8,3,0,0,2,7,4,7,7,9,1,2,3,0,6,5,8,7,9,5,5,4,5,5,0,5,4,2,6,8,5,
%U 3,7,2,7,7,1,4,1,4,2,9,3,1,2,3,9,7,1,8,5,4,4,1,7,7,4,4,3,2,3,0
%N Decimal expansion of the number x satisfying x^2+2x+4=e^x.
%C See A201741 for a guide to related sequences. The Mathematica program includes a graph.
%e x=2.9034468790268968582868881770340759008300...
%t a = 1; b = 2; c = 4;
%t f[x_] := a*x^2 + b*x + c; g[x_] := E^x
%t Plot[{f[x], g[x]}, {x, -2, 3}, {AxesOrigin -> {0, 0}}]
%t r = x /. FindRoot[f[x] == g[x], {x, 2.9, 3.0}, WorkingPrecision -> 110]
%t RealDigits[r] (* A201893 *)
%Y Cf. A201741.
%K nonn,cons
%O 1,1
%A _Clark Kimberling_, Dec 06 2011
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