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 A197252 #15 Feb 12 2025 16:13:41 %S A197252 0,2,8,0,3,7,6,3,0,0,4,5,4,9,8,0,0,3,2,3,3,1,3,5,4,8,0,4,0,4,7,2,2,1, %T A197252 8,2,5,3,4,4,9,2,9,2,1,5,5,4,5,5,9,3,5,1,8,6,3,3,6,0,7,3,3,8,5,5,8,9, %U A197252 6,1,8,6,8,0,0,5,6,7,8,4,8,3,2,1,9,5,3,7,3,5,8,9,2,9,0,1,6,9,7,4,0 %N A197252 Decimal expansion of least x>0 having sin(x)=(sin 6x)^2. %C A197252 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. %H A197252 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>. %e A197252 0.028037630045498003233135480404722182534.... %t A197252 b = 1; c = 6; f[x_] := Sin[x] %t A197252 t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .01, .1}, WorkingPrecision -> 100] %t A197252 RealDigits[t] (* A197252 *) %t A197252 Plot[{f[b*x], f[c*x]^2}, {x, 0, Pi}] %Y A197252 Cf. A197133. %K A197252 nonn,cons %O A197252 0,2 %A A197252 _Clark Kimberling_, Oct 12 2011 %E A197252 Offset corrected by _Georg Fischer_, Jul 28 2021