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%I #5 Mar 30 2012 18:58:01
%S 1,4,0,9,3,5,0,0,7,6,3,7,9,6,7,8,1,0,7,7,5,7,3,1,7,0,2,9,9,8,5,0,0,0,
%T 4,0,7,4,9,7,2,0,6,8,4,7,2,1,1,2,1,6,5,6,8,6,5,3,2,9,6,0,1,8,5,7,2,0,
%U 6,9,8,1,1,3,4,5,0,3,2,2,5,6,5,6,7,9,6,1,9,3,7,3,3,8,0,3,7,4,9
%N Decimal expansion of least x>0 satisfying 3*x^2-2*x+3=tan(x).
%C See A200338 for a guide to related sequences. The Mathematica program includes a graph.
%e x=1.40935007637967810775731702998500040749720...
%t a = 3; b = -2; 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, 1.4, 1.5}, WorkingPrecision -> 110]
%t RealDigits[r] (* A200591 *)
%Y Cf. A200338.
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Nov 19 2011
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