%I #5 Mar 30 2012 18:58:00

%S 1,4,4,6,1,9,2,4,9,5,1,6,1,0,3,6,9,3,8,9,4,7,5,9,6,0,3,9,9,3,7,2,1,2,

%T 7,4,0,5,3,0,0,7,9,5,3,2,7,6,4,2,6,9,3,6,1,9,4,0,6,5,0,5,2,0,6,5,5,9,

%U 8,5,9,2,6,0,2,6,0,7,5,3,6,5,2,3,5,3,4,7,4,8,7,8,0,1,9,1,7,7,0

%N Decimal expansion of least x>0 satisfying x^2+2x+3=tan(x).

%C See A200338 for a guide to related sequences. The Mathematica program includes a graph.

%e x=1.4461924951610369389475960399372127405300...

%t a = 1; 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] (* A200348 *)

%Y Cf. A200338.

%K nonn,cons

%O 1,2

%A _Clark Kimberling_, Nov 16 2011