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 A197413 #12 Apr 10 2021 13:19:04 %S A197413 1,9,6,0,6,6,9,6,5,4,5,8,7,9,3,5,5,9,3,9,5,4,4,8,6,8,8,3,3,1,5,7,6,5, %T A197413 6,8,5,3,1,5,9,7,0,0,2,3,6,7,6,8,2,2,3,1,5,7,7,3,5,6,1,5,0,9,2,1,7,0, %U A197413 1,5,8,8,6,1,8,5,3,3,8,8,4,0,0,3,4,1,5,1,5,3,0,4,5,7,7,5,6,1,9 %N A197413 Decimal expansion of least x > 0 having sin(Pi*x/6) = sin(x)^2. %C A197413 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 A197413 x=1.9606696545879355939544868833157... %t A197413 b = Pi/6; c = 1; f[x_] := Sin[x] %t A197413 t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, 1.95, 1.97}, %t A197413 WorkingPrecision -> 200] %t A197413 RealDigits[t] (* A197413 *) %t A197413 Plot[{f[b*x], f[c*x]^2}, {x, 1.5, 2.5}] %Y A197413 Cf. A197133. %K A197413 nonn,cons %O A197413 1,2 %A A197413 _Clark Kimberling_, Oct 14 2011