%I #6 Feb 07 2025 16:44:07
%S 1,4,5,4,3,9,7,1,3,0,5,6,2,5,8,0,1,9,3,6,5,3,9,6,3,1,4,9,9,5,2,1,3,5,
%T 2,1,7,8,6,5,1,0,4,7,1,9,5,4,5,4,6,3,4,3,2,0,2,5,2,7,2,0,2,5,6,9,5,8,
%U 3,9,4,2,3,7,5,2,2,2,6,9,2,7,8,6,1,1,4,7,4,4,4,0,8,3,4,5,2,6,5
%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=1.45439713056258019365396314995213521786510471954...
%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, 1.4, 1.5}, WorkingPrecision -> 110]
%t RealDigits[r] (* A200605 *)
%Y Cf. A200338.
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Nov 19 2011