%I #5 Mar 30 2012 18:58:00
%S 1,5,1,4,4,1,3,2,8,2,8,6,8,3,6,0,2,2,3,3,1,4,0,1,9,4,3,1,7,9,0,6,5,4,
%T 5,5,7,8,4,5,1,0,6,3,8,2,9,9,0,8,7,2,7,3,5,5,0,4,8,9,5,9,9,4,2,9,5,6,
%U 0,6,1,6,7,3,4,1,7,8,9,2,0,1,5,9,9,2,3,5,1,8,0,2,8,2,1,2,7,2,0
%N Decimal expansion of least x>0 satisfying 4*x^2+3*x+4=tan(x).
%C See A200338 for a guide to related sequences. The Mathematica program includes a graph.
%e x=1.5144132828683602233140194317906545578451063...
%t a = 4; b = 3; c = 4;
%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] (* A200421 *)
%Y Cf. A200338.
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Nov 18 2011
|