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A201940 Decimal expansion of x>0 satisfying x^2-1=e^(-x). 2

%I

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

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

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

%N Decimal expansion of x>0 satisfying x^2-1=e^(-x).

%C See A201936 for a guide to related sequences. The Mathematica program includes a graph.

%e x=1.147757632144743493034371990610674766434...

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

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

%t Plot[{f[x], g[x]}, {x, -1, 2}, {AxesOrigin -> {0, 0}}]

%t r = x /. FindRoot[f[x] == g[x], {x, 1.1, 1.2}, WorkingPrecision -> 110]

%t RealDigits[r] (* A201940 *)

%Y Cf. A201936.

%K nonn,cons

%O 1,3

%A _Clark Kimberling_, Dec 13 2011

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Last modified September 28 10:48 EDT 2021. Contains 347714 sequences. (Running on oeis4.)