%I
%S 2,5,8,3,9,2,1,4,4,3,7,1,5,9,9,6,7,4,0,2,7,5,7,4,2,3,8,0,7,3,8,6,0,2,
%T 7,5,2,6,1,0,1,6,7,1,1,3,5,5,3,3,3,7,1,4,8,5,1,6,5,7,1,4,3,0,0,8,6,6,
%U 0,7,0,4,4,6,0,0,0,8,7,7,8,1,4,7,0,5,5,3,8,8,8,7,4,3,7,8,8,4,2
%N Decimal expansion of least x having x^24x=cos(x).
%C See A197737 for a guide to related sequences. The Mathematica program includes a graph.
%e least x: 0.25839214437159967402757423807386027526101...
%e greatest x: 4.13257347075386830819844170536280612105...
%t a = 1; b = 4; c = 1;
%t f[x_] := a*x^2 + b*x; g[x_] := c*Cos[x]
%t Plot[{f[x], g[x]}, {x, 1, 5}]
%t r1 = x /. FindRoot[f[x] == g[x], {x, 4.2, 4.1}, WorkingPrecision > 110]
%t RealDigits[r1] (* A197839 *)
%t r2 = x /. FindRoot[f[x] == g[x], {x, 4.1, 4.2}, WorkingPrecision > 110]
%t RealDigits[r2] (* A197840 *)
%Y Cf. A197737.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Oct 20 2011
