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

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

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

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

%N Decimal expansion of x>0 satisfying 2*x^2-4*x*cos(x)=sin(x).

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

%e x=1.171257300342562956184612500539206894059373...

%t a = 2; b = -4; c = 1;

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

%t Plot[{f[x], g[x]}, {x, -1, 2}, {AxesOrigin -> {0, 0}}]

%t r = x /. FindRoot[f[x] == g[x], {x, 1.17, 1.18}, WorkingPrecision -> 110]

%t RealDigits[r] (* A199782 *)

%Y Cf. A199597.

%K nonn,cons

%O 1,3

%A _Clark Kimberling_, Nov 10 2011