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%I #5 Mar 30 2012 18:58:00
%S 1,5,0,4,5,0,6,5,2,0,3,1,8,8,7,6,0,0,5,8,6,5,8,4,8,1,1,9,7,6,6,0,4,3,
%T 8,0,5,4,8,7,2,2,6,6,3,0,9,7,9,0,8,7,9,5,2,9,7,5,5,3,9,1,1,3,3,5,2,0,
%U 5,5,1,9,3,2,5,3,3,8,7,9,2,9,6,1,8,4,0,7,5,5,5,5,6,4,1,4,6,0,8
%N Decimal expansion of least x>0 satisfying 4*x^2+2*x+3=tan(x).
%C See A200338 for a guide to related sequences. The Mathematica program includes a graph.
%e x=1.5045065203188760058658481197660438054872266309790...
%t a = 4; b = 2; 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, 1.51}, WorkingPrecision -> 110]
%t RealDigits[r] (* A200417 *)
%Y Cf. A200338.
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Nov 18 2011
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