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%I #5 Mar 30 2012 18:57:56
%S 7,4,8,4,4,2,4,4,7,0,1,5,8,1,1,1,5,4,6,4,3,5,9,6,4,6,5,0,1,0,4,0,6,2,
%T 7,4,4,1,5,8,5,8,8,0,9,8,3,8,9,2,3,8,8,0,8,4,0,2,0,7,3,0,4,5,2,3,4,2,
%U 2,2,8,0,1,9,1,4,8,7,9,1,9,6,0,5,7,2,5,9,8,1,3,8,6,1,8,1,5,5,2
%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
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