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%I #5 Mar 30 2012 18:57:57
%S 1,5,8,1,1,2,1,9,7,2,2,0,7,4,1,1,9,1,8,3,1,2,8,8,3,1,1,8,0,2,8,2,2,7,
%T 3,5,8,5,0,3,1,0,2,9,7,9,7,6,8,8,0,2,5,6,3,6,4,2,6,9,0,6,4,4,0,3,4,9,
%U 9,2,6,0,8,5,5,3,0,2,1,8,2,3,8,5,5,6,6,5,7,3,9,3,9,0,9,9,8,4,8
%N Decimal expansion of x<0 satisfying 2*x^2+2*sin(x)=3.
%C See A198866 for a guide to related sequences. The Mathematica program includes a graph.
%e negative: -1.58112197220741191831288311802822735850...
%e positive: 0.86107767473955299024198236567037763109430...
%t a = 2; b = 2; 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, -1.6, -1.5}, WorkingPrecision -> 110]
%t RealDigits[r](* A199069 *)
%t r = x /. FindRoot[f[x] == g[x], {x, .86, .87}, WorkingPrecision -> 110]
%t RealDigits[r] (* A199070 *)
%Y Cf. A198866.
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Nov 02 2011
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