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%I #5 Mar 30 2012 18:58:03
%S 2,9,9,1,6,2,0,6,3,0,1,2,8,1,8,7,5,0,5,2,3,7,9,6,0,2,9,2,2,9,2,9,3,8,
%T 0,3,8,0,3,8,7,8,7,3,4,2,2,5,3,6,1,2,3,8,5,4,8,1,1,5,0,4,1,9,3,5,3,0,
%U 4,6,1,3,5,5,8,0,8,8,7,2,0,8,2,9,3,3,1,7,9,3,1,3,0,2,6,5,6,4,0
%N Decimal expansion of the least x satisfying 9-x^2=e^x.
%C See A201741 for a guide to related sequences. The Mathematica program includes a graph.
%e least: -2.9916206301281875052379602922929380380...
%e greatest: 1.76960110019935768918659677471067851...
%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, -2.9, -3.0}, WorkingPrecision -> 110]
%t RealDigits[r] (* A201765 *)
%t r = x /. FindRoot[f[x] == g[x], {x, 1.7, 1.8}, WorkingPrecision -> 110]
%t RealDigits[r] (* A201766 *)
%Y Cf. A201741.
%K nonn,cons
%O 1,1
%A _Clark Kimberling_, Dec 05 2011
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