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%I #7 Aug 09 2021 08:08:02
%S 4,6,5,5,4,5,2,1,5,9,7,9,7,5,5,1,3,6,9,7,8,5,6,5,8,8,3,2,1,5,8,7,7,1,
%T 4,8,5,8,7,0,5,2,3,1,4,9,5,1,7,6,6,5,9,0,6,7,6,8,7,6,8,9,1,1,0,9,3,7,
%U 2,9,9,5,7,1,3,1,9,6,8,7,7,7,8,3,8,1,5,8,4,2,5,8,0,6,1,3,6,0,4
%N Decimal expansion of least x>0 satisfying 2*x^2-2*x+1=tan(x).
%C See A200338 for a guide to related sequences. The Mathematica program includes a graph.
%e x=0.465545215979755136978565883215877148587052...
%t a = 2; b = -2; 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, 1.4, 1.5}, WorkingPrecision -> 110]
%t RealDigits[r] (* A200497 *)
%Y Cf. A200338.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Nov 19 2011
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