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 A198224 #6 Feb 07 2025 16:44:05
%S A198224 1,0,1,4,0,6,0,5,8,2,6,8,7,9,0,1,0,7,2,2,1,4,7,7,7,7,0,6,5,5,2,9,7,9,
%T A198224 9,7,3,0,9,4,2,4,8,2,7,2,3,1,2,7,8,4,0,3,8,8,3,8,1,9,8,8,5,4,5,4,0,0,
%U A198224 1,9,0,1,3,1,2,9,2,8,6,2,4,3,0,8,1,8,8,3,4,5,9,3,5,7,0,7,5,9,9
%N A198224 Decimal expansion of least x having 3*x^2+2x=2*cos(x).
%C A198224 See A197737 for a guide to related sequences. The Mathematica program includes a graph.
%e A198224 least x: -1.014060582687901072214777706552979973...
%e A198224 greatest x: 0.500866310253011769790802754694656330...
%t A198224 a = 3; b = 2; c = 2;
%t A198224 f[x_] := a*x^2 + b*x; g[x_] := c*Cos[x]
%t A198224 Plot[{f[x], g[x]}, {x, -2, 1}]
%t A198224 r1 = x /. FindRoot[f[x] == g[x], {x, -1.02, -1.01}, WorkingPrecision -> 110]
%t A198224 RealDigits[r1] (* A198224 *)
%t A198224 r2 = x /. FindRoot[f[x] == g[x], {x, .5, .51}, WorkingPrecision -> 110]
%t A198224 RealDigits[r2] (* A198225 *)
%Y A198224 Cf. A197737.
%K A198224 nonn,cons
%O A198224 1,4
%A A198224 _Clark Kimberling_, Oct 22 2011