%I #5 Mar 30 2012 18:58:02
%S 2,2,1,1,4,3,7,7,5,8,8,4,2,0,4,2,3,4,4,8,9,2,4,2,3,2,9,2,3,3,0,1,5,2,
%T 7,2,5,9,6,5,5,7,2,8,3,4,7,9,2,1,7,1,4,6,0,9,5,3,5,5,0,3,4,1,6,9,6,2,
%U 7,6,4,8,1,4,9,5,9,0,3,6,8,2,2,3,0,1,2,5,2,3,6,1,8,3,6,2,2,7,8
%N Decimal expansion of the least x satisfying -x^2+5=e^x.
%C See A201741 for a guide to related sequences. The Mathematica program includes a graph.
%e least: -2.21143775884204234489242329233015272...
%e greatest: 1.241142758399597693572251244897788...
%t a = -1; b = 0; c = 5;
%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, -2.3, -2.2}, WorkingPrecision -> 110]
%t RealDigits[r] (* A201757 *)
%t r = x /. FindRoot[f[x] == g[x], {x, 1.2, 1.3}, WorkingPrecision -> 110]
%t RealDigits[r] (* A201758 *)
%Y Cf. A201741.
%K nonn,cons
%O 1,1
%A _Clark Kimberling_, Dec 05 2011
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