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Decimal expansion of least x>0 satisfying x^2-3x+3=tan(x).
2

%I #5 Mar 30 2012 18:58:01

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

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

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

%N Decimal expansion of least x>0 satisfying x^2-3x+3=tan(x).

%C See A200338 for a guide to related sequences. The Mathematica program includes a graph.

%e x=0.859460941006027074081447641614222610620...

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

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

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

%t r = x /. FindRoot[f[x] == g[x], {x, .85, .86}, WorkingPrecision -> 110]

%t RealDigits[r] (* A200487 *)

%Y Cf. A200338.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Nov 18 2011