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 A197489 #7 Feb 15 2025 08:32:52
%S A197489 2,4,1,1,9,7,5,4,9,4,0,5,5,6,3,2,8,8,6,1,5,4,5,5,6,9,7,5,1,2,2,8,2,7,
%T A197489 2,1,4,2,1,0,3,9,3,5,7,2,4,7,6,4,8,6,4,1,5,4,9,5,6,7,6,1,9,8,2,5,7,0,
%U A197489 4,5,5,3,2,7,2,8,0,4,8,5,6,5,8,4,0,8,6,2,4,4,9,3,8,8,4,6,7,5,2
%N A197489 Decimal expansion of least x>0 having cos(6x)=(cos 8x)^2.
%C A197489 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 A197489 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A197489 0.2411975494055632886154556975122827214210...
%t A197489 b = 6; c = 8; f[x_] := Cos[x]
%t A197489 t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .92, .93}, WorkingPrecision -> 100]
%t A197489 RealDigits[t] (* A197488 *)
%t A197489 Plot[{f[b*x], f[c*x]^2}, {x, 0, 1}]
%Y A197489 Cf. A197476.
%K A197489 nonn,cons
%O A197489 0,1
%A A197489 _Clark Kimberling_, Oct 15 2011