%I #6 Feb 07 2025 16:44:06
%S 1,4,9,3,6,8,9,3,5,7,9,7,4,3,7,2,9,4,2,9,7,8,1,6,9,6,9,5,4,7,3,7,3,3,
%T 0,2,8,3,3,2,1,0,1,0,6,2,8,0,2,3,8,1,5,0,7,2,6,6,9,8,5,6,1,1,3,6,3,0,
%U 5,5,7,0,0,7,5,9,0,0,0,0,3,2,7,3,3,4,5,8,7,5,1,7,4,5,6,4,6,1,0
%N Decimal expansion of least x>0 satisfying 2*x^2+3*x+4=tan(x).
%C See A200338 for a guide to related sequences. The Mathematica program includes a graph.
%e x=1.49368935797437294297816969547373302833210106280...
%t a = 2; b = 3; c = 4;
%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] (* A200369 *)
%Y Cf. A200338.
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Nov 17 2011