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 A197411 #13 Apr 10 2021 13:18:34 %S A197411 2,1,9,4,2,3,2,9,1,9,0,1,6,9,1,9,1,4,4,4,7,4,1,6,4,0,9,4,9,3,4,0,8,4, %T A197411 2,1,5,8,8,8,0,2,1,6,0,3,0,6,8,3,7,9,9,6,9,1,4,7,7,4,8,0,0,9,3,5,2,7, %U A197411 5,8,6,8,6,0,7,7,7,8,5,9,5,4,3,6,7,3,0,8,6,2,5,8,2,9,9,8,8,7,4 %N A197411 Decimal expansion of least x > 0 having sin(Pi*x/4) = sin(2*x/3)^2. %C A197411 The Mathematica program includes a graph. See A197133 for a guide to least x > 0 satisfying sin(b*x) = sin(c*x)^2 for selected b and c. %e A197411 x=2.1942329190169191444741640949340842158... %t A197411 b = Pi/4; c = 2/3; f[x_] := Sin[x] %t A197411 t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, 2.19, 2.195}, %t A197411 WorkingPrecision -> 200] %t A197411 RealDigits[t] (* A197411 *) %t A197411 Plot[{f[b*x], f[c*x]^2}, {x, 0, 3.1}] %Y A197411 Cf. A197133. %K A197411 nonn,cons %O A197411 1,1 %A A197411 _Clark Kimberling_, Oct 14 2011