A200695 - OEIS

%I #5 Mar 30 2012 18:58:01

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

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

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

%N Decimal expansion of least x>0 satisfying 1-2*x^2=tan(x).

%C See A200614 for a guide to related sequences.  The Mathematica program includes a graph.

%e x=0.4857973489475441787555954411375936195260330521...

%t a = -2; c = 1;

%t f[x_] := a*x^2 + 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, .4, .5}, WorkingPrecision -> 110]

%t RealDigits[r]   (* A200695 *)

%Y Cf. A200338.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Nov 21 2011