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%I #5 Mar 30 2012 18:57:58
%S 1,6,3,5,6,8,8,7,5,1,1,5,4,1,1,0,1,7,9,7,7,8,6,1,4,4,1,8,0,3,7,7,9,0,
%T 9,4,8,4,0,9,9,5,7,9,5,1,2,3,6,0,7,1,2,7,8,3,2,8,3,6,7,8,3,3,6,7,9,0,
%U 7,1,7,4,8,1,6,2,8,8,7,4,5,8,1,5,6,0,2,3,7,3,3,8,9,0,7,7,6,1,8
%N Decimal expansion of x>0 satisfying x^2-3*x*cos(x)=3*sin(x).
%C See A199597 for a guide to related sequences. The Mathematica program includes a graph.
%e x=1.635688751154110179778614418037790948409...
%t a = 1; b = -3; c = 3;
%t f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
%t Plot[{f[x], g[x]}, {x, -2 Pi, Pi}, {AxesOrigin -> {0, 0}}]
%t r = x /. FindRoot[f[x] == g[x], {x, 1.63, 1.64}, WorkingPrecision -> 110]
%t RealDigits[r] (* A199728 *)
%Y Cf. A199597.
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Nov 09 2011
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