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%I #5 Mar 30 2012 18:58:00
%S 1,4,9,8,0,8,5,9,8,7,2,5,6,7,2,2,2,7,8,4,6,0,3,0,0,8,9,0,4,3,0,0,9,5,
%T 0,9,7,9,5,6,4,9,2,5,3,1,8,2,1,5,6,1,4,0,5,9,1,9,3,0,2,8,2,1,0,8,6,1,
%U 8,0,5,6,8,8,3,2,5,0,0,1,8,4,5,7,5,0,9,0,5,7,9,4,1,3,7,0,9,3,9
%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=1.498085987256722278460300890430095097956492531...
%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] (* A200394 *)
%Y Cf. A200338.
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Nov 17 2011