%I
%S 2,1,0,2,8,3,6,8,6,0,9,1,4,1,0,4,7,0,1,4,7,2,7,6,8,5,1,1,8,2,4,7,0,2,
%T 2,2,9,9,9,0,3,9,3,3,8,5,4,9,9,5,6,0,5,1,0,6,5,9,1,6,7,8,9,9,6,1,1,3,
%U 4,2,1,8,0,7,9,3,0,9,6,1,6,1,0,6,8,9,3,9,1,4,1,1,3,8,0,6,9,2,0
%N Decimal expansion of x>0 satisfying x^23*x*sin(x)=2*cos(x).
%C See A199429 for a guide to related sequences. The Mathematica program includes a graph.
%e x=2.10283686091410470147276851182470222999...
%t a = 1; 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, 2.1, 2.2}, WorkingPrecision > 110]
%t RealDigits[r] (* A199469 *)
%Y Cf. A199429.
%K nonn,cons
%O 1,1
%A _Clark Kimberling_, Nov 07 2011
