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%I #5 Mar 30 2012 18:57:57
%S 7,1,6,5,5,0,3,8,3,9,0,6,1,7,8,2,0,2,3,9,2,3,8,8,0,3,0,1,8,3,5,5,1,3,
%T 5,8,0,8,2,7,4,0,2,7,3,3,1,9,5,4,2,4,7,5,3,8,0,7,3,4,7,0,9,9,7,2,4,7,
%U 7,5,8,3,4,8,7,4,5,5,3,6,0,6,5,1,6,7,2,6,6,9,3,5,5,4,1,7,1,7,1
%N Decimal expansion of x<0 satisfying 3*x^2+x*cos(x)=1.
%C See A199170 for a guide to related sequences. The Mathematica program includes a graph.
%e negative: -0.7165503839061782023923880301835513...
%e positive: 0.4462598117717659562961701211990923...
%t Remove["Global`*"];
%t a = 3; b = 1; c = 1;
%t f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c
%t Plot[{f[x], g[x]}, {x, -1, 1}, {AxesOrigin -> {0, 0}}]
%t r = x /. FindRoot[f[x] == g[x], {x, -.8, -.7}, WorkingPrecision -> 110]
%t RealDigits[r] (* A199279 *)
%t r = x /. FindRoot[f[x] == g[x], {x, .44, .45}, WorkingPrecision -> 110]
%t RealDigits[r] (* A199280 *)
%Y Cf. A199170.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Nov 04 2011
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