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 A197292 #11 Feb 19 2013 07:05:00
%S A197292 3,6,9,0,4,9,5,7,2,5,9,8,0,3,0,1,6,7,6,7,2,3,5,5,1,5,3,3,9,2,8,4,5,6,
%T A197292 8,0,0,2,3,3,4,9,2,1,5,1,3,3,8,1,0,8,8,2,2,2,5,5,1,3,0,6,9,1,4,4,5,7,
%U A197292 0,1,1,2,9,9,2,4,5,4,2,6,4,6,7,1,1,3,9,0,4,2,8,9,5,3,9,0,2,1,3,8
%N A197292 Decimal expansion of least x>0 having sin(6x)=(sin 3x)^2.
%C A197292 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.
%e A197292 x=0.3690495725980301676723551533928456800...
%t A197292 b = 6; c = 3; f[x_] := Sin[x]
%t A197292 t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .3, .4}, WorkingPrecision -> 100]
%t A197292 RealDigits[t] (* A197292 *)
%t A197292 Plot[{f[b*x], f[c*x]^2}, {x, 0, Pi/2}]
%t A197292 RealDigits[ ArcCos[ Sqrt[ Root[-1 + 45# - 120#^2 + 80#^3 & , 3]]], 10, 100] // First (* _Jean-François Alcover_, Feb 19 2013 *)
%Y A197292 Cf. A197133.
%K A197292 nonn,cons
%O A197292 0,1
%A A197292 _Clark Kimberling_, Oct 13 2011