A200420 - OEIS

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

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

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

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

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

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

%e x=1.5108561413173337943318511591833176...

%t a = 4; b = 3; 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, 1.51, 1.52}, WorkingPrecision -> 110]

%t RealDigits[r]   (* A200420 *)

%Y Cf. A200338.

%K nonn,cons

%O 1,2

%A _Clark Kimberling_, Nov 18 2011