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Decimal expansion of least x>0 satisfying x^2-3x+1=tan(x).
2

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

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

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

%U 7,3,7,7,2,1,3,4,5,7,4,5,4,2,8,4,2,2,1,2,3,2,7,8,8,2,5,4,3,7,4

%N Decimal expansion of least x>0 satisfying x^2-3x+1=tan(x).

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

%e x=0.266084554112852721788642144278359071325780...

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

%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, .26, .27}, WorkingPrecision -> 110]

%t RealDigits[r] (* A200485 *)

%Y Cf. A200338.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Nov 18 2011