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%I #5 Mar 30 2012 18:58:01
%S 1,2,2,5,1,1,8,4,0,4,9,0,9,9,7,7,2,0,4,2,0,6,0,6,4,4,3,2,8,8,6,9,5,7,
%T 7,6,6,2,2,5,2,6,6,8,6,3,4,4,6,4,3,9,0,1,0,8,6,0,1,8,6,6,8,2,4,7,8,0,
%U 9,8,7,9,6,0,6,9,4,2,7,0,3,1,2,9,7,5,6,7,2,6,7,1,9,9,5,8,8,6,0
%N Decimal expansion of least x>0 satisfying 2*x^2-x+1=tan(x).
%C See A200338 for a guide to related sequences. The Mathematica program includes a graph.
%e x=1.22511840490997720420606443288695776622...
%t a = 2; b = -1; 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, 1.2, 1.3}, WorkingPrecision -> 110]
%t RealDigits[r] (* A200493 *)
%Y Cf. A200338.
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Nov 18 2011
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