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%I #5 Mar 30 2012 18:58:03
%S 3,0,7,7,4,5,4,7,2,9,8,2,6,0,8,8,7,0,5,2,1,7,7,4,2,5,0,8,3,6,7,5,6,3,
%T 7,9,8,8,2,0,7,5,7,4,0,0,8,7,0,6,5,0,9,1,8,7,9,9,5,9,0,9,1,1,8,4,5,4,
%U 2,6,0,8,9,5,1,6,7,4,1,4,6,2,1,2,4,0,4,9,5,6,9,5,8,8,4,5,2,9,3
%N Decimal expansion of the number x satisfying x^2+3x+3=e^x.
%C See A201741 for a guide to related sequences. The Mathematica program includes a graph.
%e x=3.077454729826088705217742508367563798820757400...
%t a = 1; b = 3; c = 3;
%t f[x_] := a*x^2 + b*x + c; g[x_] := E^x
%t Plot[{f[x], g[x]}, {x, -3, 3.3}, {AxesOrigin -> {0, 0}}]
%t r = x /. FindRoot[f[x] == g[x], {x, 3.0, 3.1}, WorkingPrecision -> 110]
%t RealDigits[r] (* A201900 *)
%Y Cf. A201741.
%K nonn,cons
%O 1,1
%A _Clark Kimberling_, Dec 06 2011
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