A200500 - OEIS

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

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

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

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

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

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

%e x=0.71985820239470858625021560996372072561...

%t a = 2; b = -3; c = 2;

%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, .7, .8}, WorkingPrecision -> 110]

%t RealDigits[r]    (* A200500 *)

%Y Cf. A200338.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Nov 19 2011