A200598 - OEIS

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

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

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

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

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

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

%e x=1.18763802635460398244729109804216223597163786...

%t a = 3; b = -4; c = 3;

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

%t RealDigits[r]   (* A200598 *)

%Y Cf. A200338.

%K nonn,cons

%O 1,3

%A _Clark Kimberling_, Nov 19 2011