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 A197577 #9 Apr 10 2021 13:21:16 %S A197577 6,3,4,6,6,4,0,8,3,9,7,6,9,8,5,4,2,4,4,6,8,0,9,2,5,7,4,8,5,1,8,9,4,4, %T A197577 0,3,6,9,8,9,3,5,6,3,8,6,6,9,0,4,3,0,5,0,7,2,5,8,4,4,5,9,1,4,4,3,2,9, %U A197577 4,2,8,4,6,6,6,9,1,5,4,9,1,0,3,8,4,1,2,5,8,8,3,4,2,5,8,4,9,8,7 %N A197577 Decimal expansion of least x > 0 having cos(Pi*x) = cos(2*x)^2. %C A197577 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. %e A197577 x=0.6346640839769854244680925748518944036989356... %t A197577 b = Pi; c = 2; f[x_] := Sin[x] %t A197577 t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .63, .64}, WorkingPrecision -> 200] %t A197577 RealDigits[t] (* A197577 *) %t A197577 Plot[{f[b*x], f[c*x]^2}, {x, 0, 1}] %Y A197577 Cf. A197133. %K A197577 nonn,cons %O A197577 0,1 %A A197577 _Clark Kimberling_, Oct 16 2011