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 A197260 #32 Feb 12 2025 16:57:11
%S A197260 8,4,8,0,6,2,0,7,8,9,8,1,4,8,1,0,0,8,0,5,2,9,4,4,3,3,8,9,9,8,4,1,8,0,
%T A197260 8,0,0,7,3,3,6,6,2,1,3,2,6,3,1,1,2,6,4,2,8,6,0,7,1,8,1,6,3,5,7,0,2,0,
%U A197260 0,8,2,1,2,2,8,4,7,4,2,3,4,3,4,9,1,8,9,8,0,1,7,3,1,9,5,7,2,3,0,3
%N A197260 Decimal expansion of least x>0 having sin(3x) = sin(x)^2.
%C A197260 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 A197260 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%F A197260 Equals arcsin(3/4). - _Alexandru Petrescu_, Jul 08 2024
%F A197260 Equals 2*A197291 = A197377/3. - _Hugo Pfoertner_, Jul 08 2024
%e A197260 0.84806207898148100805294433899841808007...
%t A197260 b = 3; c = 1; f[x_] := Sin[x]
%t A197260 t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .6, 1}, WorkingPrecision -> 100]
%t A197260 RealDigits[t] (* this sequence *)
%t A197260 Plot[{f[b*x], f[c*x]^2}, {x, 0, Pi}]
%t A197260 RealDigits[ ArcCos[ Sqrt[7]/4], 10, 100] // First (* _Jean-François Alcover_, Feb 19 2013 *)
%Y A197260 Cf. A197291, A197133, A197377.
%K A197260 nonn,cons
%O A197260 0,1
%A A197260 _Clark Kimberling_, Oct 12 2011