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%I #5 Mar 30 2012 18:58:00
%S 1,5,0,7,7,9,4,3,3,8,2,6,9,8,3,5,0,8,7,3,1,4,7,5,4,2,3,6,1,0,4,3,6,2,
%T 5,9,6,0,9,0,3,3,9,9,9,1,2,1,4,9,9,9,3,2,3,9,4,9,5,8,7,7,6,1,5,7,4,0,
%U 0,8,1,3,7,6,7,9,5,1,9,1,4,3,1,4,2,7,4,5,6,4,8,1,1,6,6,5,5,3,6
%N Decimal expansion of least x>0 satisfying 3*x^2+4*x+3=tan(x).
%C See A200338 for a guide to related sequences. The Mathematica program includes a graph.
%e x=1.507794338269835087314754236104362596090339991214999...
%t a = 3; b = 4; c = 3;
%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, 1.6}, WorkingPrecision -> 110]
%t RealDigits[r] (* A200400 *)
%Y Cf. A200338.
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Nov 17 2011
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