%I
%S 4,5,0,2,3,5,3,1,6,4,0,0,3,2,0,4,4,6,9,8,0,7,5,5,7,4,5,3,7,6,0,7,5,4,
%T 9,5,0,4,8,6,0,6,9,0,2,8,4,7,2,6,6,4,8,6,1,4,5,6,6,2,4,1,2,5,1,3,8,1,
%U 4,5,4,2,4,3,0,1,2,2,0,7,1,4,4,5,5,7,5,2,8,3,1,8,7,5,1,0,7,4,8
%N Decimal expansion of x>0 satisfying 3*x^2+2*x*sin(x)=1.
%C See A199370 for a guide to related sequences. The Mathematica program includes a graph.
%e x=0.45023531640032044698075574537607549504860690...
%t a = 3; b = 2; c = 1;
%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, .45, .46}, WorkingPrecision > 110]
%t RealDigits[r] (* A199390 *)
%Y Cf. A199370.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Nov 06 2011
