%I #5 Mar 30 2012 18:58:02
%S 2,8,3,5,6,0,0,5,0,6,0,3,5,9,7,9,9,6,7,6,2,5,3,5,9,1,9,5,8,7,6,2,7,1,
%T 6,0,8,5,3,2,8,0,8,5,4,2,5,0,4,3,9,0,4,1,0,9,0,6,1,5,4,4,8,1,6,2,3,9,
%U 8,9,1,1,3,9,8,7,6,5,2,0,1,1,0,3,6,0,4,1,9,6,7,3,2,8,2,2,1,6,5
%N Decimal expansion of the number x satisfying x^2+9=e^x.
%C See A201741 for a guide to related sequences. The Mathematica program includes a graph.
%e x=2.8356005060359799676253591958762716085328...
%t a = 1; b = 0; c = 9;
%t f[x_] := a*x^2 + b*x + c; g[x_] := E^x
%t Plot[{f[x], g[x]}, {x, -3, 3}, {AxesOrigin -> {0, 0}}]
%t r = x /. FindRoot[f[x] == g[x], {x, 2.8, 2.9}, WorkingPrecision -> 110]
%t RealDigits[r] (* A201748 *)
%Y Cf. A201741.
%K nonn,cons
%O 1,1
%A _Clark Kimberling_, Dec 05 2011
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