%I #6 Mar 30 2012 18:57:54

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

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

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

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

%C See A198414 for a guide to related sequences. The Mathematica program includes a graph.

%e x=2.110021988457540105844994555284563265147736...

%t a = 2; b = -3; c = 3;

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

%t Plot[{f[x], g[x]}, {x, -.2, 2.4}]

%t r = x /. FindRoot[f[x] == g[x], {x, 2.11, 2.12}, WorkingPrecision -> 110]

%t RealDigits[r] (* A198568 *)

%Y Cf. A198414.

%K nonn,cons

%O 1,1

%A _Clark Kimberling_, Oct 27 2011