%I
%S 1,2,7,3,9,4,1,9,1,9,4,1,1,5,8,3,3,2,7,0,3,4,0,8,4,7,4,3,4,2,0,5,5,6,
%T 4,3,5,0,6,1,2,3,1,9,6,7,6,0,7,9,9,5,6,6,7,9,1,1,7,0,7,2,4,3,0,1,8,8,
%U 8,5,2,0,2,7,1,7,7,1,6,1,8,8,7,3,5,7,7,5,9,0,0,0,6,9,7,4,9,2,9
%N Decimal expansion of x<0 satisfying 3*x^2+3*sin(x)=2.
%C See A198866 for a guide to related sequences. The Mathematica program includes a graph.
%e negative: 1.27394191941158332703408474342055643506123...
%e positive: 0.466106421683196411148081035304500630437462...
%t a = 3; b = 3; c = 2;
%t f[x_] := a*x^2 + b*Sin[x]; g[x_] := c
%t Plot[{f[x], g[x]}, {x, 2, 2}, {AxesOrigin > {0, 0}}]
%t r = x /. FindRoot[f[x] == g[x], {x, 1.3, 1.2}, WorkingPrecision > 110]
%t RealDigits[r] (* A199160 *)
%t r = x /. FindRoot[f[x] == g[x], {x, .46, .47}, WorkingPrecision > 110]
%t RealDigits[r] (* A199161 *)
%Y Cf. A198866.
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Nov 03 2011
