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%I #10 Aug 03 2021 14:29:25
%S 9,4,2,0,1,3,1,7,1,7,4,5,9,2,5,4,7,0,2,7,8,3,8,5,4,7,8,8,1,6,3,3,3,9,
%T 0,3,0,6,4,8,6,9,2,9,1,2,9,9,0,4,0,5,4,1,8,0,5,3,8,2,4,1,4,7,3,2,3,5,
%U 1,2,6,9,1,1,5,1,8,2,2,1,7,9,0,8,7,1,5,2,9,8,1,8,3,3,2,5,2,7,2,5,5,9,5
%N Decimal expansion of x < 0 satisfying 3*x^2 + 3*x*cos(x) = 1.
%C See A199170 for a guide to related sequences. The Mathematica program includes a graph.
%e negative: -0.942013171745925470278385478816333...
%e positive: 0.2701502896318032580209778461269860...
%t a = 3; b = 3; c = 1;
%t f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c
%t Plot[{f[x], g[x]}, {x, -3, 3}, {AxesOrigin -> {0, 0}}]
%t r = x /. FindRoot[f[x] == g[x], {x, -1, -.9}, WorkingPrecision -> 110]
%t RealDigits[r] (* A199291 *)
%t r = x /. FindRoot[f[x] == g[x], {x, .27, .28}, WorkingPrecision -> 110]
%t RealDigits[r] (* A199292 *)
%Y Cf. A199170, A199292.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Nov 05 2011
%E a(92) onwards corrected by _Georg Fischer_, Aug 03 2021
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