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%I #5 Mar 30 2012 18:58:01
%S 1,3,6,8,8,0,9,1,8,9,5,8,6,2,9,4,1,4,3,7,5,7,8,7,5,5,6,4,9,2,1,5,2,3,
%T 3,7,8,8,4,6,3,3,4,4,7,0,5,0,3,9,1,1,1,9,4,2,1,8,3,6,8,0,7,3,8,8,9,2,
%U 8,3,9,2,0,5,0,0,8,9,9,3,4,3,1,3,4,6,6,2,4,0,4,6,2,7,1,8,4,2,5
%N Decimal expansion of least x>0 satisfying 3*x^2-2*x+2=tan(x).
%C See A200338 for a guide to related sequences. The Mathematica program includes a graph.
%e x=1.368809189586294143757875564921523378846334470...
%t a = 3; b = -2; c = 2;
%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, 1.3, 1.4}, WorkingPrecision -> 110]
%t RealDigits[r] (* A200590 *)
%Y Cf. A200338.
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Nov 19 2011
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