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 A198362 #6 Feb 07 2025 16:44:05
%S A198362 2,4,4,0,4,5,3,2,2,6,2,9,1,3,5,5,9,1,4,6,6,8,5,8,2,8,2,9,3,9,4,4,8,0,
%T A198362 7,9,4,9,3,2,8,4,3,7,5,3,3,7,6,0,8,7,5,4,6,7,2,2,2,3,1,3,5,5,5,6,1,9,
%U A198362 0,4,2,7,8,6,2,9,9,9,9,7,3,4,9,3,8,4,1,6,5,2,3,1,4,6,8,5,1,7,4
%N A198362 Decimal expansion of greatest x having 4*x^2+3x=cos(x).
%C A198362 See A197737 for a guide to related sequences. The Mathematica program includes a graph.
%e A198362 least x: -0.91615106109683577000135072803946391...
%e A198362 greatest x: 0.244045322629135591466858282939448079493...
%t A198362 a = 4; b = 3; c = 1;
%t A198362 f[x_] := a*x^2 + b*x; g[x_] := c*Cos[x]
%t A198362 Plot[{f[x], g[x]}, {x, -1, 1}]
%t A198362 r1 = x /. FindRoot[f[x] == g[x], {x, -1, -.9}, WorkingPrecision -> 110]
%t A198362 RealDigits[r1] (* A198361 *)
%t A198362 r2 = x /. FindRoot[f[x] == g[x], {x, .24, .25}, WorkingPrecision -> 110]
%t A198362 RealDigits[r2] (* A198362 *)
%Y A198362 Cf. A197737.
%K A198362 nonn,cons
%O A198362 0,1
%A A198362 _Clark Kimberling_, Oct 24 2011