%I #5 Mar 30 2012 18:58:01
%S 1,0,7,4,3,0,7,6,1,9,5,9,3,5,8,9,1,7,7,1,9,6,3,6,3,6,3,4,6,2,8,6,8,7,
%T 2,2,8,6,3,7,8,6,5,2,1,6,3,2,7,4,8,5,0,2,3,8,3,7,3,8,7,0,4,1,7,5,0,6,
%U 4,8,9,9,8,3,5,1,5,7,8,2,6,7,7,6,8,1,7,2,6,7,9,4,8,4,1,1,7,2,8
%N Decimal expansion of least x>0 satisfying 3-x^2=tan(x).
%C See A200614 for a guide to related sequences. The Mathematica program includes a graph.
%e x=1.074307619593589177196363634628687228637...
%t a = -1; c = 3;
%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, 1.0, 1.1}, WorkingPrecision -> 110]
%t RealDigits[r] (* A200687 *)
%Y Cf. A200338.
%K nonn,cons
%O 1,3
%A _Clark Kimberling_, Nov 20 2011
|