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A199159 Decimal expansion of x>0 satisfying 3*x^2+3*sin(x)=1.

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