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 A197418 #14 Dec 27 2024 15:40:11
%S A197418 1,4,9,5,9,0,9,5,4,6,4,3,9,9,9,4,8,5,7,4,9,6,5,7,5,1,8,6,3,1,6,9,6,8,
%T A197418 0,9,1,1,9,8,1,3,6,9,1,3,1,7,2,9,0,6,0,5,8,0,7,1,1,0,0,7,9,7,7,0,8,4,
%U A197418 0,5,9,6,7,6,1,5,8,4,6,4,0,5,7,9,6,1,3,1,5,9,5,9,2,5,2,3,7,8,5
%N A197418 Decimal expansion of least x > 0 having sin(Pi*x/6) = sin(2*x/3)^2.
%C A197418 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 A197418 x=1.4959095464399948574965751863169680911...
%t A197418 b = Pi/6; c = 2/3; f[x_] := Sin[x]
%t A197418 t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, 1.49, 1.5}, WorkingPrecision -> 200]
%t A197418 RealDigits[t] (* A197418 *)
%t A197418 Plot[{f[b*x], f[c*x]^2}, {x, 0, 3}]
%t A197418 RealDigits[x/.FindRoot[Sin[Pi x/6]==Sin[2 x/3]^2,{x,1},WorkingPrecision->120],10,120][[1]] (* _Harvey P. Dale_, Dec 27 2024 *)
%Y A197418 Cf. A197133.
%K A197418 nonn,cons
%O A197418 1,2
%A A197418 _Clark Kimberling_, Oct 14 2011