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 A197333 #12 Apr 10 2021 11:33:53 %S A197333 9,0,1,6,0,3,2,1,8,9,4,8,1,8,5,7,0,3,8,0,2,3,6,2,4,1,9,2,8,6,1,6,1,0, %T A197333 9,4,7,6,2,0,4,3,0,6,8,7,4,3,7,4,6,0,2,7,7,2,5,8,0,1,4,3,0,3,3,2,9,4, %U A197333 6,0,7,5,3,7,0,5,1,7,2,1,8,4,3,7,4,1,2,0,0,3,3,8,9,1,1,7,8,5,2 %N A197333 Decimal expansion of least x > 0 having sin(3*x) = sin(Pi*x/4)^2. %C A197333 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 A197333 x=0.9016032189481857038023624192861610947620... %t A197333 b = 3; c = Pi/4; f[x_] := Sin[x] %t A197333 t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .8, 1}, WorkingPrecision -> 200] %t A197333 RealDigits[t] (* A197333 *) %t A197333 Plot[{f[b*x], f[c*x]^2}, {x, 0, 1.2}] %Y A197333 Cf. A197133. %K A197333 nonn,cons %O A197333 0,1 %A A197333 _Clark Kimberling_, Oct 13 2011