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 A197389 #13 Apr 10 2021 11:35:23 %S A197389 1,9,0,3,9,9,2,2,5,1,9,3,0,9,5,6,2,7,3,4,0,4,2,7,7,7,2,4,5,5,5,6,8,3, %T A197389 2,1,1,0,9,6,8,0,6,9,1,6,0,0,7,1,2,9,1,5,2,1,7,7,5,3,3,7,7,4,3,2,9,8, %U A197389 8,2,8,5,4,0,0,0,7,4,6,4,7,3,1,1,5,2,3,7,7,6,5,0,2,7,7,5,4,9,6 %N A197389 Decimal expansion of least x > 0 having sin(Pi*x/3) = sin(2*x/3)^2. %C A197389 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 A197389 x=1.9039922519309562734042777245556832110968... %t A197389 b = Pi/3; c = 2/3; f[x_] := Sin[x] %t A197389 t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, 2, 2.5}, WorkingPrecision -> 200] %t A197389 RealDigits[t] (* A197389 *) %t A197389 Plot[{f[b*x], f[c*x]^2}, {x, 0, 3}] %Y A197389 Cf. A197133. %K A197389 nonn,cons %O A197389 1,2 %A A197389 _Clark Kimberling_, Oct 14 2011