%I #5 Mar 30 2012 18:57:57
%S 5,4,1,0,7,0,8,3,0,7,2,2,7,3,2,2,4,3,2,7,3,6,4,5,7,3,9,1,0,9,5,1,7,7,
%T 2,9,9,2,7,9,0,2,7,8,5,3,7,8,9,3,0,7,7,8,6,2,0,3,7,6,2,3,2,0,6,0,7,7,
%U 0,4,4,8,6,7,9,0,1,2,5,4,9,1,3,9,6,1,9,8,4,5,5,8,5,1,3,6,9,2,1
%N Decimal expansion of x>0 satisfying 3*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=0.541070830722732243273645739109517729927902...
%t a = 3; 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, .54, .55}, WorkingPrecision -> 110]
%t RealDigits[r] (* A199453 *)
%Y Cf. A199429.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Nov 06 2011