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Decimal expansion of least x>0 satisfying 4*x^2-4*x+1=tan(x).
2

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

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

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

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

%N Decimal expansion of least x>0 satisfying 4*x^2-4*x+1=tan(x).

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

%e x=0.2482609145230832198708336372289095753348986100...

%t a = 4; b = -4; 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, .2, .3}, WorkingPrecision -> 110]

%t RealDigits[r] (* A200610 *)

%Y Cf. A200338.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Nov 19 2011