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 A197254 #10 Feb 12 2025 16:14:34
%S A197254 0,1,5,7,0,6,8,4,9,5,3,1,6,2,0,0,6,5,0,5,8,1,7,7,0,3,0,2,0,8,5,2,6,0,
%T A197254 3,6,3,9,0,0,4,1,7,7,4,8,8,0,0,3,1,2,6,3,1,0,8,5,0,9,0,7,6,7,8,4,2,7,
%U A197254 2,2,6,1,5,7,2,8,2,6,5,4,9,2,5,7,5,8,5,7,0,8,2,0,4,1,2,7,0,4,4,9,0
%N A197254 Decimal expansion of least x>0 having sin(x)=(sin 8x)^2.
%C A197254 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 A197254 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A197254 0.0157068495316200650581770302085260363...
%t A197254 b = 1; c = 8; f[x_] := Sin[x]
%t A197254 t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .01, .1}, WorkingPrecision -> 100]
%t A197254 RealDigits[t] (* A197254 *)
%t A197254 Plot[{f[b*x], f[c*x]^2}, {x, 0, 0.05}]
%Y A197254 Cf. A197133.
%K A197254 nonn,cons
%O A197254 0,3
%A A197254 _Clark Kimberling_, Oct 12 2011