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%I #5 Mar 30 2012 18:58:01
%S 1,2,8,2,1,0,9,7,8,0,7,3,9,4,6,0,8,2,4,1,2,8,6,7,3,4,2,3,6,8,2,8,3,4,
%T 8,3,0,3,3,4,0,7,6,1,7,7,2,1,5,2,5,0,1,5,2,2,8,3,2,2,9,6,4,0,5,4,0,5,
%U 9,2,2,1,1,8,5,6,7,4,8,3,9,2,2,9,2,9,6,2,9,2,1,4,9,6,8,6,1,3,5
%N Decimal expansion of least x>0 satisfying 3*x^2-2*x+1=tan(x).
%C See A200338 for a guide to related sequences. The Mathematica program includes a graph.
%e x=1.282109780739460824128673423682834830334076177215...
%t a = 3; b = -2; 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, 1.2, 1.3}, WorkingPrecision -> 110]
%t RealDigits[r] (* A200589 *)
%Y Cf. A200338.
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Nov 19 2011
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