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%I #5 Mar 30 2012 18:57:57
%S 4,6,6,1,0,6,4,2,1,6,8,3,1,9,6,4,1,1,1,4,8,0,8,1,0,3,5,3,0,4,5,0,0,6,
%T 3,0,4,3,7,4,6,2,4,0,5,9,0,5,2,3,5,0,2,3,9,4,7,8,6,9,3,0,0,0,7,7,2,4,
%U 5,3,3,9,0,1,8,8,8,6,5,0,9,3,8,1,4,8,0,4,1,9,7,7,2,4,3,4,1,9,6
%N Decimal expansion of x>0 satisfying 3*x^2+3*sin(x)=2.
%C See A198866 for a guide to related sequences. The Mathematica program includes a graph.
%e negative: -1.27394191941158332703408474342055643506123...
%e positive: 0.466106421683196411148081035304500630437462...
%t a = 3; b = 3; c = 2;
%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, -1.3, -1.2}, WorkingPrecision -> 110]
%t RealDigits[r] (* A199160 *)
%t r = x /. FindRoot[f[x] == g[x], {x, .46, .47}, WorkingPrecision -> 110]
%t RealDigits[r] (* A199161 *)
%Y Cf. A198866.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Nov 03 2011
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