%I #5 Mar 30 2012 18:57:57
%S 7,9,9,7,6,4,4,1,3,6,2,7,4,4,7,3,8,5,1,1,7,6,8,7,7,1,4,9,9,8,7,4,4,7,
%T 2,1,3,0,0,1,3,2,8,8,2,8,7,3,6,7,3,5,9,6,3,8,0,2,4,5,1,9,5,3,5,3,9,0,
%U 5,9,8,6,2,2,6,4,6,1,3,3,4,5,2,3,0,0,1,4,8,8,9,4,4,3,6,8,1,1,4
%N Decimal expansion of x>0 satisfying 2*x^2+3*x*sin(x)=3.
%C See A199370 for a guide to related sequences. The Mathematica program includes a graph.
%e x=0.799764413627447385117687714998744721300132882873...
%t a = 2; b = 3; c = 3;
%t f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c
%t Plot[{f[x], g[x]}, {x, -1, Pi}, {AxesOrigin -> {0, 0}}]
%t r = x /. FindRoot[f[x] == g[x], {x, .79, .80}, WorkingPrecision -> 110]
%t RealDigits[r] (* A199386 *)
%Y Cf. A199370.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Nov 06 2011