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 A197579 #9 Apr 10 2021 15:33:40 %S A197579 1,2,6,9,3,2,8,1,6,7,9,5,3,9,7,0,8,4,8,9,3,6,1,8,5,1,4,9,7,0,3,7,8,8, %T A197579 8,0,7,3,9,7,8,7,1,2,7,7,3,3,8,0,8,6,1,0,1,4,5,1,6,8,9,1,8,2,8,8,6,5, %U A197579 8,8,5,6,9,3,3,3,8,3,0,9,8,2,0,7,6,8,2,5,1,7,6,6,8,5,1,6,9,9,7 %N A197579 Decimal expansion of least x > 0 having cos(Pi*x/2) = cos(x)^2. %C A197579 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 A197579 x=1.26932816795397084893618514970378880739787127... %t A197579 b = Pi/2; c = 1; f[x_] := Sin[x] %t A197579 t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, 1.2, 1.3}, WorkingPrecision -> 200] %t A197579 RealDigits[t] (* A197579 *) %t A197579 Plot[{f[b*x], f[c*x]^2}, {x, 0, 2}] %Y A197579 Cf. A197133. %K A197579 nonn,cons %O A197579 1,2 %A A197579 _Clark Kimberling_, Oct 16 2011