A200590 - OEIS

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

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

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

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

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

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

%e x=1.368809189586294143757875564921523378846334470...

%t a = 3; b = -2; 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, 1.3, 1.4}, WorkingPrecision -> 110]

%t RealDigits[r]    (* A200590 *)

%Y Cf. A200338.

%K nonn,cons

%O 1,2

%A _Clark Kimberling_, Nov 19 2011