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%I #5 Mar 30 2012 18:57:54
%S 2,0,3,4,5,1,3,2,5,5,3,1,9,2,5,0,4,1,5,5,5,1,1,6,8,0,5,0,6,0,6,1,1,9,
%T 9,5,6,1,1,6,1,8,6,7,7,8,9,0,3,4,4,6,3,3,3,3,1,5,2,7,0,3,1,3,9,3,5,5,
%U 9,1,7,6,0,6,0,1,6,8,6,0,1,3,4,9,1,7,1,6,3,2,3,1,6,6,3,3,7,7,6
%N Decimal expansion of greatest x having 4*x^2+4x=cos(x).
%C See A197737 for a guide to related sequences. The Mathematica program includes a graph.
%e least x: -1.1023847462794395958058183658678813...
%e greatest x: 0.203451325531925041555116805060611...
%t a = 4; b = 4; c = 1;
%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] (* A198369 *)
%t r2 = x /. FindRoot[f[x] == g[x], {x, .20, .21}, WorkingPrecision -> 110]
%t RealDigits[r2] (* A198370 *)
%Y Cf. A197737.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Oct 24 2011
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