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 A197483 #7 Feb 22 2025 18:49:27
%S A197483 4,8,2,3,9,5,0,9,8,8,1,1,1,2,6,5,7,7,2,3,0,9,1,1,3,9,5,0,2,4,5,6,5,4,
%T A197483 4,2,8,4,2,0,7,8,7,1,4,4,9,5,2,9,7,2,8,3,0,9,9,1,3,5,2,3,9,6,5,1,4,0,
%U A197483 9,1,0,6,5,4,5,6,0,9,7,1,3,1,6,8,1,7,2,4,8,9,8,7,7,6,9,3,5,0,5
%N A197483 Decimal expansion of least x>0 having cos(3x)=(cos 4x)^2.
%C A197483 The Mathematica program includes a graph. See A197476 for a guide for the least x>0 satisfying cos(b*x)=(cos(c*x))^2 for selected b and c.
%H A197483 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A197483 0.48239509881112657723091139502456544284207...
%t A197483 b = 3; c = 4; f[x_] := Cos[x]
%t A197483 t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .47, .5}, WorkingPrecision -> 200]
%t A197483 RealDigits[t] (* A197483 *)
%t A197483 Plot[{f[b*x], f[c*x]^2}, {x, 0, 0.6}]
%Y A197483 Cf. A197476.
%K A197483 nonn,cons
%O A197483 0,1
%A A197483 _Clark Kimberling_, Oct 15 2011