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A201562 Decimal expansion of the number x satisfying x^2+x+3=e^x. 2

%I

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

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

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

%N Decimal expansion of the number x satisfying x^2+x+3=e^x.

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

%e x=2.42562245696544223438751880948509203381828211...

%t a = 1; b = 1; c = 3;

%t f[x_] := a*x^2 + b*x + c; g[x_] := E^x

%t Plot[{f[x], g[x]}, {x, -1, 3}, {AxesOrigin -> {0, 0}}]

%t r = x /. FindRoot[f[x] == g[x], {x, 2.4, 2.5}, WorkingPrecision -> 110]

%t RealDigits[r] (* A201562 *)

%Y Cf. A201741.

%K nonn,cons

%O 1,1

%A _Clark Kimberling_, Dec 06 2011

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Last modified October 22 01:48 EDT 2021. Contains 348160 sequences. (Running on oeis4.)