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 A197268 #10 Feb 13 2025 07:15:52
%S A197268 4,5,9,9,7,5,5,3,5,4,0,5,0,9,4,0,3,2,0,6,5,1,5,0,7,5,1,6,3,0,4,7,6,8,
%T A197268 3,2,7,2,7,0,5,9,1,6,0,4,5,9,9,1,8,0,7,7,7,9,9,0,6,9,0,4,3,4,9,1,0,3,
%U A197268 3,0,1,7,5,1,9,6,4,5,5,8,2,2,2,9,9,3,9,0,9,8,6,4,3,5,4,0,1,9,4,2
%N A197268 Decimal expansion of least x>0 having sin(4x)=(sin 3x)^2.
%C A197268 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 A197268 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A197268 0.4599755354050940320651507516304768327270591...
%t A197268 b = 4; c = 3; f[x_] := Sin[x]
%t A197268 t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .4, .5}, WorkingPrecision -> 100]
%t A197268 RealDigits[t] (* A197268 *)
%t A197268 Plot[{f[b*x], f[c*x]^2}, {x, 0, Pi/2}]
%Y A197268 Cf. A197133.
%K A197268 nonn,cons
%O A197268 0,1
%A A197268 _Clark Kimberling_, Oct 12 2011