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 A197573 #12 Jan 12 2025 14:24:03 %S A197573 5,0,3,6,8,1,8,0,7,6,2,5,6,5,8,3,1,1,1,5,0,3,2,4,8,1,5,7,1,0,4,9,1,4, %T A197573 5,5,6,6,5,7,0,7,0,6,0,9,9,5,1,3,3,9,8,4,0,9,7,3,8,1,7,2,1,2,8,3,1,5, %U A197573 0,1,9,9,3,5,3,0,1,9,4,5,9,7,2,9,5,0,2,5,8,6,3,0,2,3,5,0,5,7,2 %N A197573 Decimal expansion of least x > 0 having sin(x) = sin(3*Pi*x/2)^2. %C A197573 The Mathematica program includes a graph. See A197476 for a guide for the least x > 0 satisfying cos(b*x) = cos(c*x)^2 for selected b and c. %e A197573 x=0.5036818076256583111503248157104914556657070609... %t A197573 b = 1; c = 3*Pi/2; f[x_] := Sin[x] %t A197573 t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .5, .51}, WorkingPrecision -> 200] %t A197573 RealDigits[t] (* A197573 *) %t A197573 Plot[{f[b*x], f[c*x]^2}, {x, 0, Pi/4}] %Y A197573 Cf. A197133. %K A197573 nonn,cons %O A197573 0,1 %A A197573 _Clark Kimberling_, Oct 16 2011 %E A197573 Name corrected by _Sean A. Irvine_, Jan 12 2025