%I #5 Mar 30 2012 18:57:58

%S 5,2,1,7,7,0,5,3,3,6,3,0,4,1,5,9,0,7,6,0,2,2,2,6,7,1,7,5,2,3,9,3,7,8,

%T 8,2,9,5,7,5,1,0,8,9,8,0,1,9,0,1,6,1,5,6,1,5,0,9,6,0,0,6,2,7,2,1,1,0,

%U 4,7,2,8,7,3,1,4,9,5,9,6,8,5,8,0,7,2,5,8,7,8,1,8,9,8,2,5,1,8,2

%N Decimal expansion of x>0 satisfying 2*x^2+x*cos(x)=2*sin(x).

%C See A199597 for a guide to related sequences. The Mathematica program includes a graph.

%e x=0.521770533630415907602226717523937882...

%t a = 2; b = 1; c = 2;

%t f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]

%t Plot[{f[x], g[x]}, {x, -3, 2}, {AxesOrigin -> {0, 0}}]

%t r = x /. FindRoot[f[x] == g[x], {x, .52, .53}, WorkingPrecision -> 110]

%t RealDigits[r] (* A199622 *)

%Y Cf. A199597.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Nov 08 2011