%I #5 Mar 30 2012 18:57:57
%S 5,8,7,1,0,8,8,2,9,4,7,9,1,6,5,5,3,0,5,6,0,6,1,9,9,2,5,3,0,3,2,0,0,3,
%T 5,5,8,1,1,5,8,5,2,3,3,6,9,5,9,3,2,8,8,8,3,0,8,9,7,5,8,8,4,3,9,1,3,1,
%U 8,9,8,2,0,2,9,7,1,0,2,9,6,9,9,6,6,2,0,4,7,9,2,3,6,0,2,9,9,7,4
%N Decimal expansion of x>0 satisfying 2*x^2+3*x*sin(x)=2*cos(x).
%C See A199370 for a guide to related sequences. The Mathematica program includes a graph.
%e x=0.587108829479165530560619925303200355811...
%t a = 2; b = 3; c = 2;
%t f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c*Cos[x]
%t Plot[{f[x], g[x]}, {x, -Pi, Pi}, {AxesOrigin -> {0, 0}}]
%t r = x /. FindRoot[f[x] == g[x], {x, .58, .59}, WorkingPrecision -> 110]
%t RealDigits[r] (* A199444 *)
%Y Cf. A199429.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Nov 06 2011
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