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

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

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

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

%N Decimal expansion of least x>0 satisfying 10-x^2=tan(x).

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

%e x=1.44506912870532760574108447930362489984032586454844...

%t a = -1; c = 10;

%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, 1.4, 1.5}, WorkingPrecision -> 110]

%t RealDigits[r] (* A200694 *)

%Y Cf. A200338.

%K nonn,cons

%O 1,2

%A _Clark Kimberling_, Nov 21 2011