login
Decimal expansion of least x>0 satisfying x^2-2x+1=tan(x).
2

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

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

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

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

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

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

%e x=0.373752266830394393024362454086360643284483567...

%t a = 1; b = -2; c = 1;

%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, .3, .4}, WorkingPrecision -> 110]

%t RealDigits[r] (* A200481 *)

%Y Cf. A200338.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Nov 18 2011