%I
%S 8,7,0,3,1,6,3,4,1,1,7,7,4,8,7,5,3,8,6,7,2,4,0,5,2,9,2,3,4,8,1,5,0,6,
%T 1,5,2,5,6,1,6,0,7,0,2,9,9,6,8,3,2,4,5,5,8,8,1,6,7,6,2,7,6,7,6,7,2,5,
%U 5,6,9,1,4,2,2,9,5,1,2,4,2,5,4,7,8,9,3,4,4,4,8,8,5,8,5,3,5,0,8
%N Decimal expansion of least x having 2*x^2+x=cos(x).
%C See A197737 for a guide to related sequences. The Mathematica program includes a graph.
%e least x: 0.870316341177487538672405292348150615...
%e greatest x: 0.4639023825974119097567031695353505...
%t a = 2; b = 1; c = 1;
%t f[x_] := a*x^2 + b*x; g[x_] := c*Cos[x]
%t Plot[{f[x], g[x]}, {x, 1, 1}]
%t r1 = x /. FindRoot[f[x] == g[x], {x, 0.88, 0.87}, WorkingPrecision > 110]
%t RealDigits[r1](* A198112 *)
%t r2 = x /.FindRoot[f[x] == g[x], {x, 4.6, 4.7}, WorkingPrecision > 110]
%t RealDigits[r2](* A198113 *)
%Y Cf. A197737.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Oct 21 2011
