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 A197485 #12 Feb 15 2025 08:30:53
%S A197485 3,4,0,5,4,4,9,0,9,1,2,1,4,3,7,0,0,3,0,9,2,5,2,6,4,0,8,1,6,3,9,1,4,2,
%T A197485 6,2,4,6,2,5,9,2,9,2,8,1,2,8,7,6,1,2,7,9,8,1,1,4,8,7,9,0,7,7,4,0,6,1,
%U A197485 7,7,1,9,6,6,4,6,4,6,4,0,7,1,1,3,2,7,6,1,3,6,8,9,3,2,9,1,6,0,5
%N A197485 Decimal expansion of least x>0 having cos(4x)=(cos(6x))^2.
%C A197485 The Mathematica program includes a graph. See A197476 for a guide for the least x>0 satisfying cos(b*x)=(cos(c*x))^2 for selected b and c.
%H A197485 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A197485 0.34054490912143700309252640816391426246259292812...
%t A197485 b = 4; c = 6; f[x_] := Cos[x]
%t A197485 t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .34, .35}, WorkingPrecision -> 100]
%t A197485 RealDigits[t] (* A197485 *)
%t A197485 Plot[{f[b*x], f[c*x]^2}, {x, 0, 1/2}]
%t A197485 RealDigits[ ArcTan[ Sqrt[ Root[7#^4 - 68#^3 + 106#^2 - 68# + 7&, 1] ] ], 10, 99] // First (* _Jean-François Alcover_, Feb 27 2013 *)
%Y A197485 Cf. A197476.
%K A197485 nonn,cons
%O A197485 0,1
%A A197485 _Clark Kimberling_, Oct 15 2011