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 A198099 #6 Feb 07 2025 16:44:04
%S A198099 3,5,2,5,8,6,7,9,0,1,2,2,7,9,5,8,6,1,7,9,5,4,8,2,5,0,8,1,7,1,1,3,9,4,
%T A198099 3,0,9,9,4,6,9,8,7,4,7,8,3,2,2,2,5,2,7,4,0,4,3,6,2,7,9,1,3,1,4,5,5,0,
%U A198099 0,6,7,9,4,6,7,9,5,3,0,3,7,6,7,8,4,7,2,6,4,1,2,1,6,5,5,4,9,1,3
%N A198099 Decimal expansion of greatest x having x^2-3x=-2*cos(x).
%C A198099 See A197737 for a guide to related sequences. The Mathematica program includes a graph.
%e A198099 least x: 0.672255167738256880748604617870325976...
%e A198099 greatest x: 3.525867901227958617954825081711394...
%t A198099 a = 1; b = -3; c = -2;
%t A198099 f[x_] := a*x^2 + b*x; g[x_] := c*Cos[x]
%t A198099 Plot[{f[x], g[x]}, {x, 0, 4}]
%t A198099 r1 = x /. FindRoot[f[x] == g[x], {x, .65, .68}, WorkingPrecision -> 110]
%t A198099 RealDigits[r1] (* A198098 *)
%t A198099 r2 = x /. FindRoot[f[x] == g[x], {x, 3.5, 3.6}, WorkingPrecision -> 110]
%t A198099 RealDigits[r2] (* A198099 *)
%Y A198099 Cf. A197737.
%K A198099 nonn,cons
%O A198099 1,1
%A A198099 _Clark Kimberling_, Oct 21 2011