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%I #5 Mar 30 2012 18:57:56
%S 1,4,9,3,6,8,6,6,5,7,8,3,4,6,5,2,5,7,6,6,4,8,7,9,0,7,9,9,2,2,3,9,0,5,
%T 7,1,6,1,4,1,1,1,4,9,5,3,7,3,6,5,3,4,1,8,5,3,3,1,3,6,2,5,2,8,8,7,8,6,
%U 1,6,0,9,6,4,1,3,9,7,5,1,0,9,6,4,4,0,1,9,9,1,1,8,4,9,1,9,8,1,9
%N Decimal expansion of x>0 satisfying x^2-3*cos(x)=2.
%C See A198755 for a guide to related sequences. The Mathematica program includes a graph.
%e x=1.49368665783465257664879079922390571614111...
%t a = 1; b = -3; c = 2;
%t f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
%t Plot[{f[x], g[x]}, {x, -3, 3}, {AxesOrigin -> {0, 0}}]
%t r = x /. FindRoot[f[x] == g[x], {x, 1.49, 1.5}, WorkingPrecision -> 110]
%t RealDigits[r] (* A198828 *)
%Y Cf. A198755.
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Oct 30 2011
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