A200685 - OEIS

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

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

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

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

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

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

%e x=0.5832484672550480414838666299132075407...

%t a = -1; 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, .5, .6}, WorkingPrecision -> 110]

%t RealDigits[r](* A200685 *)

%Y Cf. A200338.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Nov 20 2011