A200395 - OEIS

%I #5 Mar 30 2012 18:58:00

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

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

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

%N Decimal expansion of least x>0 satisfying 3*x^2+3*x+1=tan(x).

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

%e x=1.488416343297673187023892229520908278629434521...

%t a = 3; b = 3; 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, 1.4, 1.5}, WorkingPrecision -> 110]

%t RealDigits[r]  (* A200395 *)

%Y Cf. A200338.

%K nonn,cons

%O 1,2

%A _Clark Kimberling_, Nov 17 2011