This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A199065 #8 Feb 07 2025 16:44:05
%S A199065 1,4,1,1,9,8,7,3,1,0,2,3,2,3,0,3,2,8,8,8,7,3,0,6,3,5,7,9,6,8,8,4,5,9,
%T A199065 7,9,1,6,4,0,2,1,9,8,7,2,0,9,4,7,0,1,2,4,1,0,8,9,7,4,7,3,6,7,3,7,9,8,
%U A199065 3,5,9,8,2,5,0,1,8,7,6,8,2,6,9,6,3,4,0,7,9,8,3,5,1,1,2,1,2,3,0
%N A199065 Decimal expansion of x<0 satisfying 2*x^2+sin(x)=3.
%C A199065 See A198866 for a guide to related sequences. The Mathematica program includes a graph.
%H A199065 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A199065 negative: -1.41198731023230328887306357968845979164...
%e A199065 positive: 1.03450269177738273452176790088513105811...
%t A199065 a = 2; b = 1; c = 3;
%t A199065 f[x_] := a*x^2 + b*Sin[x]; g[x_] := c
%t A199065 Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
%t A199065 r = x /. FindRoot[f[x] == g[x], {x, -1.5, -1.4}, WorkingPrecision -> 110]
%t A199065 RealDigits[r] (* A199065 *)
%t A199065 r = x /. FindRoot[f[x] == g[x], {x, 1.03, 1.04}, WorkingPrecision -> 110]
%t A199065 RealDigits[r] (* A199066 *)
%Y A199065 Cf. A198866.
%K A199065 nonn,cons
%O A199065 1,2
%A A199065 _Clark Kimberling_, Nov 02 2011