%I #5 Mar 30 2012 18:57:57
%S 7,1,4,5,5,4,7,9,9,6,0,8,4,7,7,0,3,9,1,2,2,3,9,8,5,6,4,7,7,0,8,2,5,9,
%T 8,4,8,5,7,5,9,8,7,4,4,8,9,5,1,3,0,5,0,9,4,8,9,7,4,0,9,6,9,5,1,4,8,1,
%U 0,8,3,3,4,8,3,1,3,5,9,7,9,9,8,9,5,1,3,1,2,7,8,0,0,9,6,2,5,0,3
%N Decimal expansion of x>0 satisfying 3*x^2+x*sin(x)=2.
%C See A199370 for a guide to related sequences. The Mathematica program includes a graph.
%e x=0.71455479960847703912239856477082598485759874...
%t a = 3; b = 1; c = 2;
%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, .71, .72}, WorkingPrecision > 110]
%t RealDigits[r] (* A199388 *)
%Y Cf. A199370.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Nov 06 2011
