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 A197265 #14 Feb 13 2025 07:15:12
%S A197265 0,6,5,2,4,6,7,8,0,1,7,9,0,3,0,4,3,3,2,3,4,3,7,0,2,1,7,9,0,8,3,8,2,0,
%T A197265 1,3,8,9,7,9,7,7,5,4,0,8,9,3,3,2,9,5,8,2,5,1,7,2,9,1,8,2,0,8,6,8,0,3,
%U A197265 6,7,7,3,1,2,1,4,1,0,4,6,0,4,5,8,2,0,1
%N A197265 Decimal expansion of least x>0 having sin(3x) = sin(7x)^2.
%C A197265 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 A197265 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A197265 0.06524678017903043323437021790838201389797754089...
%t A197265 b = 3; c = 7; f[x_] := Sin[x]
%t A197265 t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .05, .2}, WorkingPrecision -> 100]
%t A197265 RealDigits[t] (* A197265 *)
%t A197265 Plot[{f[b*x], f[c*x]^2}, {x, 0, 0.6}]
%Y A197265 Cf. A197133.
%K A197265 nonn,cons
%O A197265 0,2
%A A197265 _Clark Kimberling_, Oct 12 2011
%E A197265 a(73) onward corrected by _Sean A. Irvine_, Sep 08 2021