%I #5 Mar 30 2012 18:57:54
%S 1,1,2,8,8,6,4,4,2,0,5,2,3,9,8,6,1,3,9,4,7,7,0,0,4,6,6,3,0,6,1,8,8,9,
%T 5,7,3,6,9,5,9,7,3,2,4,1,1,0,7,6,5,2,1,7,0,0,9,7,5,6,1,3,7,9,9,7,7,1,
%U 6,8,9,1,6,9,3,8,1,2,9,9,6,0,9,6,8,4,1,0,2,9,1,6,3,7,6,9,9,7,7
%N Decimal expansion of least x having 4*x^2+3x=4*cos(x).
%C See A197737 for a guide to related sequences. The Mathematica program includes a graph.
%e least x: -1.128864420523986139477004663061889573...
%e greatest x: 0.6060777836486264536657977579905629...
%t a = 4; b = 3; c = 4;
%t f[x_] := a*x^2 + b*x; g[x_] := c*Cos[x]
%t Plot[{f[x], g[x]}, {x, -2, 1}]
%t r1 = x /. FindRoot[f[x] == g[x], {x, -1.2, -1.1}, WorkingPrecision -> 110]
%t RealDigits[r1] (* A198367 *)
%t r2 = x /. FindRoot[f[x] == g[x], {x, .60, .61}, WorkingPrecision -> 110]
%t RealDigits[r2] (* A198368 *)
%Y Cf. A197737.
%K nonn,cons
%O 1,3
%A _Clark Kimberling_, Oct 24 2011