%I
%S 4,3,8,0,9,5,8,9,7,4,2,1,3,4,0,4,5,2,7,3,0,7,2,2,5,9,0,3,6,5,4,4,5,6,
%T 4,2,4,0,7,9,0,3,3,6,7,7,9,6,3,6,8,6,4,0,2,4,3,6,2,9,7,8,9,3,6,7,2,7,
%U 6,1,3,3,7,2,7,9,6,1,1,4,1,4,4,1,0,4,3,1,3,0,2,6,7,1,8,9,9,5,1
%N Decimal expansion of x>0 satisfying 3*x^2+sin(x)=1.
%C See A198866 for a guide to related sequences. The Mathematica program includes a graph.
%e negative: 0.74844244701581115464359646501040627441...
%e positive: 0.438095897421340452730722590365445642407...
%t a = 3; b = 1; c = 1;
%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, .75, .74}, WorkingPrecision > 110]
%t RealDigits[r](* A199060 *)
%t r = x /. FindRoot[f[x] == g[x], {x, .43, .44}, WorkingPrecision > 110]
%t RealDigits[r](* A199077 *)
%Y Cf. A198866.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Nov 03 2011
