A200688 - OEIS

%I #7 Aug 09 2021 08:11:24

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

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

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

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

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

%e x=1.19878374315467233076694221145555333...

%t a = -1; c = 4;

%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, 1.1, 1.2}, WorkingPrecision -> 110]

%t RealDigits[r]   (* A200688 *)

%Y Cf. A200338.

%K nonn,cons

%O 1,3

%A _Clark Kimberling_, Nov 21 2011