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A201763 Decimal expansion of the least x satisfying -x^2+8=e^x. 3

%I

%S 2,8,1,7,8,4,7,6,9,4,4,1,6,5,7,3,6,8,9,3,7,7,2,7,4,0,9,6,5,0,4,0,6,4,

%T 1,2,8,2,2,8,3,8,6,2,2,3,4,1,7,1,6,8,5,3,9,0,6,1,7,6,2,5,2,5,8,9,3,5,

%U 4,6,5,2,8,5,9,3,6,1,8,9,9,3,3,0,9,8,4,5,7,4,8,7,6,0,5,6,4,5,4

%N Decimal expansion of the least x satisfying -x^2+8=e^x.

%C See A201741 for a guide to related sequences. The Mathematica program includes a graph.

%e least: -2.8178476944165736893772740965040641282283...

%e greatest: 1.65826072045249887879638437964645256434...

%t a = -1; b = 0; c = 8;

%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] (* A201763 *)

%t r = x /. FindRoot[f[x] == g[x], {x, 1.6, 1.7}, WorkingPrecision -> 110]

%t RealDigits[r] (* A201764 *)

%Y Cf. A201741.

%K nonn,cons

%O 1,1

%A _Clark Kimberling_, Dec 05 2011

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Last modified June 5 03:12 EDT 2020. Contains 334828 sequences. (Running on oeis4.)