%I #5 Mar 30 2012 18:57:56
%S 9,2,3,5,6,7,9,0,5,1,8,7,8,9,4,5,4,1,8,5,8,5,9,2,9,7,3,9,7,8,4,1,0,1,
%T 6,3,8,9,9,0,4,8,6,4,1,1,7,7,7,2,1,0,4,7,0,7,6,1,8,0,9,1,3,8,2,3,5,1,
%U 4,1,9,7,8,7,4,4,0,1,2,4,3,6,7,8,9,1,4,8,5,0,0,6,4,5,5,3,6,8,9
%N Decimal expansion of x>0 satisfying 4*x^24*cos(x)=1.
%C See A198755 for a guide to related sequences. The Mathematica program includes a graph.
%e x=0.9235679051878945418585929739784101638990486411777...
%t a = 4; b = 4; c = 1;
%t f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
%t Plot[{f[x], g[x]}, {x, 2, 2}, {AxesOrigin > {0, 0}}]
%t r = x /. FindRoot[f[x] == g[x], {x, .92, .93}, WorkingPrecision > 110]
%t RealDigits[r] (* A199002 *)
%Y Cf. A198755.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Nov 01 2011
