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

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

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

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

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

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

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

%e x=1.14079489459091332825335380807188837114658...

%t a = 2; 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, 1.1, 1.2}, WorkingPrecision -> 110]

%t RealDigits[r] (* A200501 *)

%Y Cf. A200338.

%K nonn,cons

%O 1,3

%A _Clark Kimberling_, Nov 19 2011