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%I #5 Mar 30 2012 18:57:57
%S 1,4,1,1,9,8,7,3,1,0,2,3,2,3,0,3,2,8,8,8,7,3,0,6,3,5,7,9,6,8,8,4,5,9,
%T 7,9,1,6,4,0,2,1,9,8,7,2,0,9,4,7,0,1,2,4,1,0,8,9,7,4,7,3,6,7,3,7,9,8,
%U 3,5,9,8,2,5,0,1,8,7,6,8,2,6,9,6,3,4,0,7,9,8,3,5,1,1,2,1,2,3,0
%N Decimal expansion of x<0 satisfying 2*x^2+sin(x)=3.
%C See A198866 for a guide to related sequences. The Mathematica program includes a graph.
%e negative: -1.41198731023230328887306357968845979164...
%e positive: 1.03450269177738273452176790088513105811...
%t a = 2; b = 1; 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, -1.5, -1.4}, WorkingPrecision -> 110]
%t RealDigits[r] (* A199065 *)
%t r = x /. FindRoot[f[x] == g[x], {x, 1.03, 1.04}, WorkingPrecision -> 110]
%t RealDigits[r] (* A199066 *)
%Y Cf. A198866.
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Nov 02 2011
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