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A199058 Decimal expansion of x<0 satisfying x^2+3*sin(x)=3.

%I A199058 #10 Feb 07 2025 16:44:05
%S A199058 2,2,9,1,9,6,5,0,4,1,2,6,7,4,2,8,6,4,9,0,9,5,1,3,3,1,1,8,3,9,4,4,4,3,
%T A199058 3,8,9,5,3,7,0,8,4,4,8,8,9,5,3,1,5,0,9,7,9,1,1,5,2,1,5,3,3,5,1,5,4,7,
%U A199058 8,6,1,2,5,9,9,2,9,0,7,7,1,8,0,8,4,2,3,3,8,3,5,8,8,9,2,2,4,8,9,7
%N A199058 Decimal expansion of x<0 satisfying x^2+3*sin(x)=3.
%C A199058 See A198866 for a guide to related sequences. The Mathematica program includes a graph.
%H A199058 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A199058 negative: -2.2919650412674286490951331183944433...
%e A199058 positive:  0.8564305559075611794636325387524829760...
%t A199058 a = 1; b = 3; c = 3;
%t A199058 f[x_] := a*x^2 + b*Sin[x]; g[x_] := c
%t A199058 Plot[{f[x], g[x]}, {x, -3, 2}, {AxesOrigin -> {0, 0}}]
%t A199058 r = x /. FindRoot[f[x] == g[x], {x, -2.3, -2.2}, WorkingPrecision -> 110]
%t A199058 RealDigits[r]  (* A199058 *)
%t A199058 r = x /. FindRoot[f[x] == g[x], {x, .85, .86}, WorkingPrecision -> 110]
%t A199058 RealDigits[r] (* A199059 *)
%Y A199058 Cf. A198866.
%K A199058 nonn,cons
%O A199058 1,1
%A A199058 _Clark Kimberling_, Nov 02 2011
%E A199058 a(98) onwards corrected by _Georg Fischer_, Aug 01 2021