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%I #5 Mar 30 2012 18:57:57
%S 6,3,8,8,9,0,3,0,3,9,5,0,9,5,0,8,0,9,1,6,4,7,9,2,9,1,3,6,6,3,0,6,3,4,
%T 3,6,9,0,5,9,3,9,2,3,0,0,6,9,9,8,6,1,7,0,6,8,2,8,4,0,4,4,3,9,0,8,5,1,
%U 5,8,5,4,8,0,4,3,6,7,2,4,3,8,6,4,8,3,1,5,1,4,6,7,8,6,7,0,5,5,0
%N Decimal expansion of x>0 satisfying 3*x^2+x*sin(x)=2*cos(x).
%C See A199370 for a guide to related sequences. The Mathematica program includes a graph.
%e x=0.6388903039509508091647929136630634369059392300...
%t a = 3; b = 1; 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, .63, .64}, WorkingPrecision -> 110]
%t RealDigits[r] (* A199447 *)
%Y Cf. A199429.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Nov 06 2011
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