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 A198374 #6 Feb 07 2025 16:44:05
%S A198374 7,6,3,3,9,4,5,3,8,2,1,0,1,9,2,3,3,6,9,9,2,6,7,4,5,3,6,3,8,4,8,3,7,6,
%T A198374 1,4,5,3,2,9,5,7,8,9,0,4,0,5,6,9,1,4,2,3,6,4,4,7,5,5,0,5,1,4,0,8,4,3,
%U A198374 9,2,8,3,4,2,2,7,0,1,7,1,3,8,3,7,8,4,3,6,3,3,4,0,4,1,3,5,6,0,6
%N A198374 Decimal expansion of greatest x having 4*x^2-4x=cos(x).
%C A198374 See A197737 for a guide to related sequences. The Mathematica program includes a graph.
%e A198374 least x: 0.369948170589866528691602088620295223...
%e A198374 greatest x: 0.7633945382101923369926745363848376145...
%t A198374 a = 4; b = -4; c = -1;
%t A198374 f[x_] := a*x^2 + b*x; g[x_] := c*Cos[x]
%t A198374 Plot[{f[x], g[x]}, {x, -1, 1}]
%t A198374 r1 = x /. FindRoot[f[x] == g[x], {x, .36, .37}, WorkingPrecision -> 110]
%t A198374 RealDigits[r1] (* A198373 *)
%t A198374 r2 = x /. FindRoot[f[x] == g[x], {x, .76, .77}, WorkingPrecision -> 110]
%t A198374 RealDigits[r2] (* A198374 *)
%Y A198374 Cf. A197737.
%K A198374 nonn,cons
%O A198374 0,1
%A A198374 _Clark Kimberling_, Oct 24 2011