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 A197378 #15 Feb 14 2025 17:36:11
%S A197378 1,9,5,0,7,2,1,8,5,4,6,5,2,8,5,4,5,7,6,2,8,6,6,6,5,5,1,8,2,0,4,0,1,1,
%T A197378 5,4,4,6,4,5,0,1,6,3,4,2,9,2,8,2,1,8,2,3,0,8,4,5,4,6,0,2,4,3,6,0,3,5,
%U A197378 8,9,9,8,7,1,5,7,0,7,0,3,3,2,5,1,5,5,4,0,3,5,5,1,6,0,0,0,4,0,8
%N A197378 Decimal expansion of least x>0 having sin(x)=(sin(2x/3))^2.
%C A197378 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 A197378 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A197378 1.9507218546528545762866655182040115446450...
%t A197378 b = 1; c = 2/3; f[x_] := Sin[x]
%t A197378 t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, 2.3, 2.6}, WorkingPrecision -> 200]
%t A197378 RealDigits[t] (* A197378 *)
%t A197378 Plot[{f[b*x], f[c*x]^2}, {x, 0, 2.7}]
%t A197378 RealDigits[ 3*ArcCos[Root[1 - 8 #^2 + 16 #^6 &, 4]], 10, 99] // First (* _Jean-François Alcover_, Feb 19 2013 *)
%Y A197378 Cf. A197133.
%K A197378 nonn,cons
%O A197378 1,2
%A A197378 _Clark Kimberling_, Oct 14 2011