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 A197416 #12 Apr 10 2021 13:19:48 %S A197416 3,0,8,1,3,5,0,0,0,5,8,6,8,0,2,5,0,2,1,7,6,0,9,5,6,4,7,9,0,4,4,8,6,8, %T A197416 6,8,8,7,7,6,7,8,8,2,0,4,0,9,0,9,1,3,1,9,6,5,0,0,7,8,7,1,5,1,2,7,8,6, %U A197416 8,6,2,5,5,1,6,0,9,2,3,2,5,8,7,6,2,9,5,2,4,1,8,7,9,1,8,2,9,8,1 %N A197416 Decimal expansion of least x > 0 having sin(Pi*x/6) = sin(x/2)^2. %C A197416 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 A197416 x=3.08135000586802502176095647904... %t A197416 b = Pi/6; c = 1/2; f[x_] := Sin[x] %t A197416 t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, 3, 3.1}, WorkingPrecision -> 200] %t A197416 RealDigits[t] (* A197416 *) %t A197416 Plot[{f[b*x], f[c*x]^2}, {x, 3, 3.8}] %Y A197416 Cf. A197133. %K A197416 nonn,cons %O A197416 1,1 %A A197416 _Clark Kimberling_, Oct 14 2011