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%I #5 Mar 30 2012 18:57:56
%S 1,2,9,9,9,9,9,5,9,7,9,5,7,0,4,0,5,3,4,1,8,4,7,9,3,2,7,7,0,5,9,1,7,9,
%T 1,3,9,9,9,5,9,1,1,1,1,6,4,7,4,6,2,0,5,3,2,4,6,1,4,4,2,4,5,8,5,4,4,9,
%U 6,1,0,1,7,0,1,8,0,1,7,0,0,3,6,1,9,0,2,9,6,6,7,6,6,7,3,9,1,5,1
%N Decimal expansion of x>0 satisfying 3*x^2-4*cos(x)=4.
%C Distance from x to 13/10 is < 1/10^6.
%C See A198755 for a guide to related sequences. The Mathematica program includes a graph.
%e x=1.2999995979570405341847932770591791399959...
%t a = 3; b = -4; c = 4;
%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, 1.29, 1.3}, WorkingPrecision -> 110]
%t RealDigits[r] (* A198942 *)
%Y Cf. A198755.
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Nov 01 2011
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