A200488 - OEIS

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

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

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

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

%N Decimal expansion of least x>0 satisfying x^2-3x+4=tan(x).

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

%e x=1.0901834151383255187473839883272219105608183...

%t a = 1; b = -3; 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, 1.0, 1.1}, WorkingPrecision -> 110]

%t RealDigits[r]    (* A200488 *)

%Y Cf. A200338.

%K nonn,cons

%O 1,3

%A _Clark Kimberling_, Nov 18 2011