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%I #5 Mar 30 2012 18:58:03
%S 2,7,9,9,4,7,4,3,9,7,7,8,6,3,8,9,6,6,7,2,6,0,6,1,6,0,6,1,8,3,3,5,5,8,
%T 3,6,8,3,2,8,4,8,2,3,5,5,9,9,8,2,5,3,0,5,7,5,6,4,9,0,7,6,7,9,1,6,5,6,
%U 8,0,5,9,1,9,3,7,0,4,5,2,8,4,4,6,8,9,4,1,1,9,3,9,5,3,3,5,6,9,7
%N Decimal expansion of the number x satisfying x^2+2x+3=e^x.
%C See A201741 for a guide to related sequences. The Mathematica program includes a graph.
%e x=2.79947439778638966726061606183355836832848235599...
%t a = 1; b = 2; c = 3;
%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, 2.7, 2.8}, WorkingPrecision -> 110]
%t RealDigits[r] (* A201892 *)
%Y Cf. A201741.
%K nonn,cons
%O 1,1
%A _Clark Kimberling_, Dec 06 2011
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