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%I #5 Mar 30 2012 18:58:02
%S 1,0,5,8,0,0,6,4,0,1,0,9,0,6,3,6,3,0,8,6,2,1,3,8,7,4,4,6,1,2,3,1,6,1,
%T 3,5,1,4,3,2,6,8,2,8,8,6,3,5,8,9,4,8,6,6,0,5,4,4,5,9,4,4,3,0,2,2,7,5,
%U 3,2,7,6,6,3,5,8,3,0,9,3,6,6,4,1,6,0,6,8,5,0,9,8,0,5,5,8,0,0,9
%N Decimal expansion of the greatest x satisfying -x^2+4=e^x.
%C See A201741 for a guide to related sequences. The Mathematica program includes a graph.
%e least: -1.96463559748886450762265969211097...
%e greatest: 1.058006401090636308621387446123...
%t a = -1; b = 0; c = 4;
%t f[x_] := a*x^2 + b*x + c; g[x_] := E^x
%t Plot[{f[x], g[x]}, {x, -3, 2}, {AxesOrigin -> {0, 0}}]
%t r = x /. FindRoot[f[x] == g[x], {x, -2.0, -1.9}, WorkingPrecision -> 110]
%t RealDigits[r] (* A201755 *)
%t r = x /. FindRoot[f[x] == g[x], {x, 1.0, 1.1}, WorkingPrecision -> 110]
%t RealDigits[r] (* A201756 *)
%Y Cf. A201741.
%K nonn,cons
%O 1,3
%A _Clark Kimberling_, Dec 05 2011
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