A200480 - OEIS

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

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

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

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

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

%C See A200338 for a guide to related sequences.  The Mathematica program includes a graph.

%e x=1.350898415927062603117187786398954854794925...

%t a = 1; b = -1; c = 4;

%t f[x_] := a*x^2 + b*x + 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, 1.3, 1.4}, WorkingPrecision -> 110]

%t RealDigits[r]   (* A200480 *)

%Y Cf. A200338.

%K nonn,cons

%O 1,2

%A _Clark Kimberling_, Nov 18 2011