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%I #5 Mar 30 2012 18:58:03
%S 1,5,3,6,0,7,8,0,9,4,0,2,6,9,3,1,1,3,0,5,1,1,3,6,7,0,5,2,1,5,5,0,9,5,
%T 9,8,1,8,1,3,6,9,8,2,9,7,7,4,3,8,3,6,3,8,9,0,2,0,6,2,0,6,5,4,4,9,6,7,
%U 5,7,7,8,0,2,5,5,2,4,6,8,4,1,4,1,8,2,9,0,2,7,8,0,4,0,6,7,9,0,5
%N Decimal expansion of the x nearest 0 that satisfies x^2+4x+4=e^x.
%C See A201741 for a guide to related sequences. The Mathematica program includes a graph.
%e least: -2.3143699029676280191739133920...
%e nearest to 0: -1.53607809402693113051136705...
%e greatest: 3.3566939800333213068257690241...
%t a = 1; b = 4; c = 4;
%t f[x_] := a*x^2 + b*x + c; g[x_] := E^x
%t Plot[{f[x], g[x]}, {x, -3, 3.5}, {AxesOrigin -> {0, 0}}]
%t r = x /. FindRoot[f[x] == g[x], {x, -2.4, -2.3}, WorkingPrecision -> 110]
%t RealDigits[r] (* A201927 *)
%t r = x /. FindRoot[f[x] == g[x], {x, -1.6, -1.5}, WorkingPrecision -> 110]
%t RealDigits[r] (* A201928 *)
%t r = x /. FindRoot[f[x] == g[x], {x, 3.3, 3.4}, WorkingPrecision -> 110]
%t RealDigits[r] (* A201929 *)
%Y Cf. A201741.
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Dec 06 2011
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