%I #5 Mar 30 2012 18:57:57

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

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

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

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

%C See A198866 for a guide to related sequences. The Mathematica program includes a graph.

%e negative: -1.72678532237109319694171416856349946617...

%e positive: 0.71708638918192182669700429533330771873...

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

%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, -1.8, -1.7}, WorkingPrecision -> 110]

%t RealDigits[r] (* A199075 *)

%t r = x /. FindRoot[f[x] == g[x], {x, .71, .72}, WorkingPrecision -> 110]

%t RealDigits[r] (* A199076 *)

%Y Cf. A198866.

%K nonn,cons

%O 1,2

%A _Clark Kimberling_, Nov 03 2011