A200699 - OEIS

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

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

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

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

%N Decimal expansion of least x>0 satisfying 1-4*x^2=tan(x).

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

%e x=0.385442273941394688486279714820289310607413671...

%t a = -4; 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, .3, .4}, WorkingPrecision -> 110]

%t RealDigits[r]    (* A200699 *)

%Y Cf. A200338.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Nov 21 2011