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 A197264 #14 Feb 13 2025 07:14:44
%S A197264 0,9,0,9,9,0,6,1,6,4,1,2,2,7,4,9,8,3,4,6,9,5,3,8,9,3,5,3,6,1,2,8,9,9,
%T A197264 4,3,6,8,2,4,6,8,8,8,3,9,8,8,8,1,3,3,9,4,2,5,5,6,0,0,0,0,3,8,2,8,1,1,
%U A197264 1,9,7,5,6,7,0,0,7,3,6,3,0,1,4,5,3,0,8,1,6,2,1,4,3,9,8,0,1,8,9,6,9
%N A197264 Decimal expansion of least x>0 having sin(3x) = sin(6x)^2.
%C A197264 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.
%F A197264 As constants, equal to 3*A197133. - _Charles R Greathouse IV_, Feb 13 2025
%e A197264 0.090990616412274983469538935361289943682...
%t A197264 b = 3; c = 6; f[x_] := Sin[x]
%t A197264 t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .05, .2}, WorkingPrecision -> 100]
%t A197264 RealDigits[t] (* A197264 *)
%t A197264 Plot[{f[b*x], f[c*x]^2}, {x, 0, 0.6}]
%Y A197264 Cf. A197133.
%K A197264 nonn,cons
%O A197264 0,2
%A A197264 _Clark Kimberling_, Oct 12 2011
%E A197264 a(99)-a(100) corrected by _Sean A. Irvine_, Sep 08 2021