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 A197266 #15 Feb 13 2025 07:15:07
%S A197266 0,4,9,1,9,2,7,4,8,3,1,7,9,5,6,8,9,6,8,0,3,0,4,0,8,0,3,0,7,2,9,1,7,8,
%T A197266 9,5,9,7,0,7,7,0,4,8,5,9,6,1,8,0,0,1,0,9,6,1,5,4,9,5,1,1,3,4,1,2,4,1,
%U A197266 2,9,4,7,6,4,9,7,8,0,8,0,8,6,2,4,2,6,1,2,1,6,2,8,5,8,0,8,1,1,0,9,9
%N A197266 Decimal expansion of least x>0 having sin(3x) = (sin 8x)^2.
%C A197266 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 A197266 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A197266 0.04919274831795689680304080307291789597077...
%t A197266 b = 3; c = 8; f[x_] := Sin[x]
%t A197266 t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .03, .1}, WorkingPrecision -> 100]
%t A197266 RealDigits[t] (* A197266 *)
%t A197266 Plot[{f[b*x], f[c*x]^2}, {x, 0, 0.6}]
%Y A197266 Cf. A197133.
%K A197266 nonn,cons
%O A197266 0,2
%A A197266 _Clark Kimberling_, Oct 12 2011