%I #5 Mar 30 2012 18:57:56
%S 1,0,5,7,4,9,3,6,1,7,2,6,8,8,4,0,3,6,5,4,9,7,9,5,2,6,8,3,6,5,8,5,6,1,
%T 5,0,5,1,5,1,1,3,0,6,7,1,6,3,0,5,2,1,0,9,2,9,3,1,8,6,1,8,5,3,1,3,7,0,
%U 6,0,5,2,6,4,5,7,5,2,6,6,7,2,9,8,1,4,2,7,7,0,6,8,7,0,3,8,1,7,6
%N Decimal expansion of x>0 satisfying 4*x^2-3*cos(x)=3.
%C See A198755 for a guide to related sequences. The Mathematica program includes a graph.
%e x=1.057493617268840365497952683658561505151130...
%t a = 4; b = -3; c = 3;
%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, 1.05, 1.06}, WorkingPrecision -> 110]
%t RealDigits[r] (* A198998 *)
%Y Cf. A198755.
%K nonn,cons
%O 1,3
%A _Clark Kimberling_, Nov 01 2011
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