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

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

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

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

%N Decimal expansion of x>0 satisfying 4*x^2-x*cos(x)=3*sin(x).

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

%e x=0.8340067446429083391110166829079224585586502659...

%t a = 4; b = -1; c = 3;

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

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

%t r = x /. FindRoot[f[x] == g[x], {x, .83, .84}, WorkingPrecision -> 110]

%t RealDigits[r] (* A199863 *)

%Y Cf. A199597.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Nov 11 2011