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A201748 Decimal expansion of the number x satisfying x^2+9=e^x. 2

%I #5 Mar 30 2012 18:58:02

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

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

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

%N Decimal expansion of the number x satisfying x^2+9=e^x.

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

%e x=2.8356005060359799676253591958762716085328...

%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, 2.8, 2.9}, WorkingPrecision -> 110]

%t RealDigits[r] (* A201748 *)

%Y Cf. A201741.

%K nonn,cons

%O 1,1

%A _Clark Kimberling_, Dec 05 2011

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Last modified March 29 04:23 EDT 2024. Contains 371264 sequences. (Running on oeis4.)