%I #5 Mar 30 2012 18:57:56

%S 8,5,9,8,8,1,1,7,5,2,3,2,0,2,6,4,4,9,5,7,8,0,4,6,0,5,2,6,3,6,4,2,8,3,

%T 4,2,2,1,5,5,5,9,0,9,1,0,5,3,6,9,7,1,3,2,9,2,3,5,9,7,3,9,4,9,5,1,6,3,

%U 6,5,7,4,4,5,9,1,7,1,5,4,0,9,1,1,7,9,5,3,2,8,5,8,5,3,5,4,7,3,9

%N Decimal expansion of x>0 satisfying 4*x^2-3*cos(x)=1.

%C See A198755 for a guide to related sequences. The Mathematica program includes a graph.

%e x=0.85988117523202644957804605263642834221555...

%t a = 4; b = -3; 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, .85, .86}, WorkingPrecision -> 110]

%t RealDigits[r] (* A198996 *)

%Y Cf. A198755.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Nov 01 2011