%I #5 Mar 30 2012 18:57:56
%S 5,3,3,6,2,7,2,8,4,4,2,5,2,3,2,7,8,7,5,6,0,5,6,7,8,6,5,9,9,4,0,3,5,8,
%T 8,3,9,2,4,2,9,7,4,2,6,9,6,0,6,6,7,0,8,2,5,0,7,3,1,4,5,3,3,5,0,5,3,8,
%U 6,0,3,6,5,0,7,0,6,9,5,1,3,9,4,0,2,1,9,3,8,4,8,1,7,0,0,6,6,8,9
%N Decimal expansion of x>0 satisfying 4*x^2+cos(x)=2.
%C See A198755 for a guide to related sequences. The Mathematica program includes a graph.
%e x=0.53362728442523278756056786599403588392429742...
%t a = 4; b = 1; c = 2;
%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, .53, .54}, WorkingPrecision -> 110]
%t RealDigits[r] (* A198923 *)
%Y Cf. A198755.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Nov 01 2011