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 A197417 #12 Apr 10 2021 13:20:03 %S A197417 3,8,0,7,9,8,4,5,0,3,8,6,1,9,1,2,5,4,6,8,0,8,5,5,5,4,4,9,1,1,1,3,6,6, %T A197417 4,2,2,1,9,3,6,1,3,8,3,2,0,1,4,2,5,8,3,0,4,3,5,5,0,6,7,5,4,8,6,5,9,7, %U A197417 6,5,7,0,8,0,0,1,4,9,2,9,4,6,2,3,0,4,7,5,5,3,0,0,5,5,5,0,9,9,2 %N A197417 Decimal expansion of least x > 0 having sin(Pi*x/6) = sin(x/3)^2. %C A197417 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 A197417 x=3.80798450386191254680855544911136642219361383... %t A197417 b = Pi/6; c = 1/3; f[x_] := Sin[x] %t A197417 t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, 3.8, 3.9}, WorkingPrecision -> 200] %t A197417 RealDigits[t] (* A197417 *) %t A197417 Plot[{f[b*x], f[c*x]^2}, {x, 0, 4}] %Y A197417 Cf. A197133. %K A197417 nonn,cons %O A197417 1,1 %A A197417 _Clark Kimberling_, Oct 14 2011