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%I #5 Mar 30 2012 18:57:58
%S 1,0,4,9,1,8,8,7,0,8,2,0,0,4,3,4,2,1,3,4,2,7,2,0,7,6,6,5,0,0,3,9,2,6,
%T 6,0,8,2,9,4,3,9,0,2,2,5,2,1,7,1,6,7,1,4,5,2,0,4,5,1,3,7,6,6,6,9,0,4,
%U 4,5,3,3,1,2,1,1,4,9,3,0,9,0,6,6,9,8,5,1,3,7,0,9,0,5,0,4,2,0,4
%N Decimal expansion of x>0 satisfying 3*x^2-3*x*cos(x)=2*sin(x).
%C See A199597 for a guide to related sequences. The Mathematica program includes a graph.
%e x=1.049188708200434213427207665003926608294390...
%t a = 3; b = -3; c = 2;
%t f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
%t Plot[{f[x], g[x]}, {x, -1, 2}, {AxesOrigin -> {0, 0}}]
%t r = x /. FindRoot[f[x] == g[x], {x, 1.04, 1.05}, WorkingPrecision -> 110]
%t RealDigits[r] (* A199788 *)
%Y Cf. A199597.
%K nonn,cons
%O 1,3
%A _Clark Kimberling_, Nov 10 2011
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