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%I #5 Mar 30 2012 18:58:01
%S 1,4,4,6,9,6,0,6,8,6,1,4,8,8,1,9,5,4,3,8,0,8,8,6,8,8,6,1,4,7,3,9,9,5,
%T 0,1,3,9,0,8,3,7,6,2,4,8,3,2,6,9,2,8,9,1,0,4,3,7,4,6,0,0,4,9,6,1,8,9,
%U 1,5,7,1,5,9,1,1,8,5,3,9,1,9,5,2,9,4,3,2,0,8,6,2,2,9,8,7,0,2,6
%N Decimal expansion of least x>0 satisfying 4*x^2-3*x+4=tan(x).
%C See A200338 for a guide to related sequences. The Mathematica program includes a graph.
%e x=1.4469606861488195438088688614739950139083762...
%t a = 4; b = -3; 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] (* A200609 *)
%Y Cf. A200338.
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Nov 19 2011
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