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%I #5 Mar 30 2012 18:58:00
%S 1,5,1,6,0,8,1,4,9,5,9,5,8,7,8,3,8,3,3,9,1,4,0,4,1,5,5,7,3,1,0,8,6,4,
%T 1,7,0,7,6,3,2,8,4,3,9,3,7,1,5,5,8,7,3,5,7,9,3,4,3,4,1,9,6,7,7,6,1,2,
%U 8,3,8,7,8,0,9,8,1,4,7,5,5,3,0,3,7,8,0,0,7,7,1,5,0,0,9,8,1,3,7
%N Decimal expansion of least x>0 satisfying 4*x^2+4*x+3=tan(x).
%C See A200338 for a guide to related sequences. The Mathematica program includes a graph.
%e x=1.5160814959587838339140415573108641707632843...
%t a = 4; 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, 1.51, 1.52}, WorkingPrecision -> 110]
%t RealDigits[r] (* A200423 *)
%Y Cf. A200338.
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Nov 18 2011
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