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 A197385 #13 Apr 10 2021 11:31:30 %S A197385 2,8,8,4,4,9,4,1,6,5,1,2,4,6,1,5,2,8,8,3,7,9,4,6,3,5,9,5,7,1,3,8,7,1, %T A197385 6,3,9,1,5,1,7,5,0,8,6,6,9,3,6,1,0,8,8,2,2,5,7,3,4,3,5,7,8,7,1,6,2,4, %U A197385 8,9,9,2,1,4,3,4,8,7,3,8,4,5,7,2,3,6,3,2,1,8,0,0,2,2,6,7,0,7,4 %N A197385 Decimal expansion of least x > 0 having sin(Pi*x/3) = sin(2*x)^2. %C A197385 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 A197385 x=0.2884494165124615288379463595713871639151750... %t A197385 b = Pi/3; c = 2; f[x_] := Sin[x] %t A197385 t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, 0.2, 0.4}, WorkingPrecision -> 200] %t A197385 RealDigits[t] (* A197385 *) %t A197385 Plot[{f[b*x], f[c*x]^2}, {x, 0, 1.2}] %Y A197385 Cf. A197133. %K A197385 nonn,cons %O A197385 0,1 %A A197385 _Clark Kimberling_, Oct 14 2011