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 A197415 #12 Apr 10 2021 13:19:30 %S A197415 0,5,8,7,7,5,0,5,6,2,2,4,6,2,9,9,5,0,9,7,7,6,4,4,1,4,2,2,4,2,5,9,4,8, %T A197415 4,2,4,0,9,2,7,7,4,9,0,1,9,2,7,3,1,7,9,3,6,4,3,0,6,4,7,4,3,2,6,6,6,5, %U A197415 3,6,9,2,4,4,8,5,1,6,4,0,7,6,4,5,9,9,9,1,5,3,3,0,2,2,3,7,5,0,0 %N A197415 Decimal expansion of least x > 0 having sin(Pi*x/6) = sin(3*x)^2. %C A197415 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 A197415 x=0.0587750562246299509776441422425948... %t A197415 b = Pi/6; c = 3; f[x_] := Sin[x] %t A197415 t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, 0.05, 0.06}, %t A197415 WorkingPrecision -> 200] %t A197415 RealDigits[t] (* A197415 *) %t A197415 Plot[{f[b*x], f[c*x]^2}, {x, 0, 0.2}] %Y A197415 Cf. A197133. %K A197415 nonn,cons %O A197415 0,2 %A A197415 _Clark Kimberling_, Oct 14 2011