A200383 - OEIS

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

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

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

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

%N Decimal expansion of least x>0 satisfying 2*x^2+4x+3=tan(x).

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

%e x=1.4966755487888160690164184493890067145876702...

%t a = 2; b = 4; 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]  (* A200383 *)

%Y Cf. A200338.

%K nonn,cons

%O 1,2

%A _Clark Kimberling_, Nov 17 2011