%I #5 Mar 30 2012 18:58:01
%S 1,4,3,4,7,7,0,7,3,1,0,6,3,2,9,7,3,2,6,1,4,9,8,6,0,0,4,3,7,9,2,2,0,2,
%T 6,8,8,7,4,2,9,8,9,3,1,5,1,6,7,0,6,1,3,8,9,5,5,3,0,5,6,0,9,7,8,1,7,1,
%U 0,5,0,1,2,0,2,7,5,1,2,1,3,2,7,8,1,6,2,3,5,6,6,5,3,5,0,0,2,2,0
%N Decimal expansion of least x>0 satisfying 3*x^2-2*x+4=tan(x).
%C See A200338 for a guide to related sequences. The Mathematica program includes a graph.
%e x=1.43477073106329732614986004379220268874298...
%t a = 3; b = -2; c = 4;
%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] (* A200592 *)
%Y Cf. A200338.
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Nov 19 2011
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