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%I #5 Mar 30 2012 18:58:00
%S 1,5,0,2,0,8,7,8,5,1,4,9,1,0,8,1,7,6,6,0,8,7,7,4,9,9,1,4,8,0,8,2,0,3,
%T 0,6,4,3,7,5,6,8,0,6,4,2,3,6,3,0,6,5,9,3,2,7,7,3,5,3,0,1,0,2,4,9,4,6,
%U 1,5,0,5,3,1,2,4,6,9,1,3,2,7,8,4,4,8,3,6,6,4,7,4,9,5,3,3,5,3,2
%N Decimal expansion of least x>0 satisfying 4*x^2+3*x+1=tan(x).
%C See A200338 for a guide to related sequences. The Mathematica program includes a graph.
%e x=1.50208785149108176608774991480820306437568064236...
%t a = 4; b = 3; 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, 1.5, 1.51}, WorkingPrecision -> 110]
%t RealDigits[r] (* A200418 *)
%Y Cf. A200338.
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Nov 18 2011
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