%I #6 Feb 07 2025 16:44:07
%S 1,3,1,5,3,8,1,9,3,1,8,4,0,0,9,1,9,5,4,9,5,2,3,1,4,0,8,2,6,8,7,1,0,5,
%T 5,7,9,8,3,3,0,3,0,8,0,7,4,3,8,8,4,2,4,2,2,0,8,2,0,0,7,7,6,6,0,3,9,9,
%U 0,5,4,0,6,4,7,9,8,5,8,7,4,4,6,3,7,5,7,6,2,0,8,4,2,6,7,7,0,9,7
%N Decimal expansion of least x>0 satisfying 2*x^2-2*x+3=tan(x).
%C See A200338 for a guide to related sequences. The Mathematica program includes a graph.
%e x=1.31538193184009195495231408268710557983303080...
%t a = 2; 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, 1.3, 1.4}, WorkingPrecision -> 110]
%t RealDigits[r] (* A200498 *)
%Y Cf. A200338.
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Nov 19 2011