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 A198363 #6 Feb 07 2025 16:44:05
%S A198363 1,0,1,1,9,6,4,0,7,1,9,5,4,1,5,9,6,5,5,1,6,4,3,9,2,2,5,1,6,8,6,8,1,0,
%T A198363 4,7,8,4,3,1,4,0,0,1,4,0,3,1,8,0,2,4,9,9,0,9,8,2,2,2,2,1,0,5,2,6,4,8,
%U A198363 1,9,8,6,2,5,9,0,1,3,6,4,3,3,5,8,7,3,1,1,1,5,1,0,7,8,2,1,9,9,6
%N A198363 Decimal expansion of least x having 4*x^2+3x=2*cos(x).
%C A198363 See A197737 for a guide to related sequences. The Mathematica program includes a graph.
%e A198363 least x: -1.0119640719541596551643922516868104...
%e A198363 greatest x: 0.4003039952551859146306371868342035...
%t A198363 a = 4; b = 3; c = 2;
%t A198363 f[x_] := a*x^2 + b*x; g[x_] := c*Cos[x]
%t A198363 Plot[{f[x], g[x]}, {x, -2, 1}]
%t A198363 r1 = x /. FindRoot[f[x] == g[x], {x, -1.1, -1.0}, WorkingPrecision -> 110]
%t A198363 RealDigits[r1] (* A198363 *)
%t A198363 r2 = x /. FindRoot[f[x] == g[x], {x, .4, .41}, WorkingPrecision -> 110]
%t A198363 RealDigits[r2] (* A198364 *)
%Y A198363 Cf. A197737.
%K A198363 nonn,cons
%O A198363 1,5
%A A198363 _Clark Kimberling_, Oct 24 2011