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 A197384 #13 Apr 10 2021 11:30:53 %S A197384 1,5,4,0,6,7,5,0,0,2,9,3,4,0,1,2,5,1,0,8,8,0,4,7,8,2,3,9,5,2,2,4,3,4, %T A197384 3,4,4,3,8,8,3,9,4,1,0,2,0,4,5,4,5,6,5,9,8,2,5,0,3,9,3,5,7,5,6,3,9,3, %U A197384 4,3,1,2,7,5,8,0,4,6,1,6,2,9,3,8,1,4,7,6,2,0,9,3,9,5,9,1,4,9,0 %N A197384 Decimal expansion of least x > 0 having sin(Pi*x/3) = sin(x)^2. %C A197384 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 A197384 x=1.54067500293401251088047823952243434438839410204... %t A197384 b = Pi/3; c = 1; f[x_] := Sin[x] %t A197384 t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, 1.5, 1.6}, WorkingPrecision -> 200] %t A197384 RealDigits[t] (* A197384 *) %t A197384 Plot[{f[b*x], f[c*x]^2}, {x, 1.2, 1.9}] %Y A197384 Cf. A197133. %K A197384 nonn,cons %O A197384 1,2 %A A197384 _Clark Kimberling_, Oct 14 2011