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 A197334 #13 Feb 15 2025 09:37:06
%S A197334 2,3,6,6,5,2,1,8,6,9,3,0,3,8,8,6,0,5,2,2,1,9,2,5,4,2,2,2,0,6,5,9,8,6,
%T A197334 0,8,3,0,7,3,3,1,1,3,0,4,1,5,5,7,1,2,4,2,7,4,7,1,0,5,2,6,5,7,4,6,3,1,
%U A197334 3,2,7,6,9,7,0,3,3,9,9,0,0,7,6,7,0,3,1,3,1,5,9,0,2,0,5,3,0,8,2
%N A197334 Decimal expansion of least x > 0 having cos(x) = cos(4*Pi*x)^2.
%C A197334 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.
%C A197334 This number is irrational. I cannot prove it to be algebraic or transcendental. - _Charles R Greathouse IV_, Feb 15 2025
%e A197334 0.23665218693038860522192542220659860830733113...
%t A197334 b = 1; c = 4 Pi; f[x_] := Cos[x]
%t A197334 t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .235, .237}, WorkingPrecision -> 110]
%t A197334 RealDigits[t] (* A197334 *)
%t A197334 Plot[{f[b*x], f[c*x]^2}, {x, 0, Pi/8}]
%Y A197334 Cf. A197476.
%K A197334 nonn,cons
%O A197334 0,1
%A A197334 _Clark Kimberling_, Oct 15 2011