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 A199185 #8 Feb 07 2025 16:44:05
%S A199185 3,4,4,4,2,8,4,6,0,9,9,0,4,9,5,5,4,1,0,7,9,1,9,5,5,5,2,7,8,5,3,8,1,2,
%T A199185 5,1,9,5,6,9,2,4,4,7,6,3,4,8,1,1,3,7,2,2,0,4,9,8,8,0,7,0,1,6,7,1,8,7,
%U A199185 9,4,8,9,4,7,8,9,7,2,9,4,4,5,4,9,0,6,7,2,1,2,5,6,2,3,9,6,1,9,9
%N A199185 Decimal expansion of greatest x satisfying x^2+3*x*cos(x)=2.
%C A199185 See A199170 for a guide to related sequences. The Mathematica program includes a graph.
%H A199185 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A199185 least: -1.5093390624666881234512526417921902931351...
%e A199185 greatest: 3.44428460990495541079195552785381251956...
%t A199185 a = 1; b = 3; c = 2;
%t A199185 f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c
%t A199185 Plot[{f[x], g[x]}, {x, -2 Pi, 2 Pi}, {AxesOrigin -> {0, 0}}]
%t A199185 r = x /. FindRoot[f[x] == g[x], {x, -1.6, -1.5}, WorkingPrecision -> 110]
%t A199185 RealDigits[r] (* A199184 least of four roots *)
%t A199185 r = x /. FindRoot[f[x] == g[x], {x, 3.44, 3.45}, WorkingPrecision -> 110]
%t A199185 RealDigits[r] (* A199185 greatest of four roots *)
%Y A199185 Cf. A199170.
%K A199185 nonn,cons
%O A199185 1,1
%A A199185 _Clark Kimberling_, Nov 04 2011