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A199158 Decimal expansion of x<0 satisfying 3*x^2+3*sin(x)=1.

%I A199158 #8 Feb 07 2025 16:44:05
%S A199158 1,1,0,8,2,6,9,4,4,7,3,9,3,7,1,0,5,4,6,7,2,8,0,0,8,2,1,5,8,6,1,4,9,9,
%T A199158 7,4,2,3,3,7,9,6,7,1,6,5,5,7,5,2,2,3,7,1,4,8,4,2,1,2,8,1,3,3,5,5,5,8,
%U A199158 5,9,1,4,9,1,9,2,6,4,1,9,0,2,5,9,8,9,1,9,8,5,7,8,0,4,4,0,9,2,3
%N A199158 Decimal expansion of x<0 satisfying 3*x^2+3*sin(x)=1.
%C A199158 See A198866 for a guide to related sequences. The Mathematica program includes a graph.
%H A199158 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A199158 negative: -1.1082694473937105467280082158614997423379...
%e A199158 positive:  0.2658016271983479815831296920342773310942...
%t A199158 a = 3; b = 3; c = 1;
%t A199158 f[x_] := a*x^2 + b*Sin[x]; g[x_] := c
%t A199158 Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
%t A199158 r = x /.
%t A199158   FindRoot[f[x] == g[x], {x, -1.2, -1.1}, WorkingPrecision -> 110]
%t A199158 RealDigits[r]   (* A199158 *)
%t A199158 r = x /. FindRoot[f[x] == g[x], {x, .26, .27}, WorkingPrecision -> 110]
%t A199158 RealDigits[r]   (* A199159 *)
%Y A199158 Cf. A198866.
%K A199158 nonn,cons
%O A199158 1,4
%A A199158 _Clark Kimberling_, Nov 03 2011