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%I #5 Mar 30 2012 18:58:00
%S 1,4,9,1,9,8,3,5,2,0,9,2,6,4,9,5,2,3,9,3,0,6,6,1,7,2,0,7,4,1,3,3,6,7,
%T 5,3,7,2,1,9,0,8,9,6,9,5,5,4,8,4,2,2,9,8,5,9,6,5,8,7,4,2,9,1,5,2,9,0,
%U 5,6,2,3,2,1,7,1,2,2,6,9,2,2,9,7,8,0,3,4,6,3,9,7,5,1,4,5,8,0,3
%N Decimal expansion of least x>0 satisfying 3*x^2+2*x+3=tan(x).
%C See A200338 for a guide to related sequences. The Mathematica program includes a graph.
%e x=1.4919835209264952393066172074133675372190896955...
%t a = 3; 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, 1.4, 1.5}, WorkingPrecision -> 110]
%t RealDigits[r] (* A200393 *)
%Y Cf. A200338.
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Nov 17 2011