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 A197479 #7 Feb 14 2025 17:39:01 %S A197479 6,8,1,0,8,9,8,1,8,2,4,2,8,7,4,0,0,6,1,8,5,0,5,2,8,1,6,3,2,7,8,2,8,5, %T A197479 2,4,9,2,5,1,8,5,8,5,6,2,5,7,5,2,2,5,5,9,6,2,2,9,7,5,8,1,5,4,8,1,2,3, %U A197479 5,4,3,9,3,2,9,2,9,2,8,1,4,2,2,6,5,5,2,2,7,3,7,8,6,5,8,3,2,1,0 %N A197479 Decimal expansion of least x>0 having cos(2x)=(cos 3x)^2. %C A197479 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 A197479 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>. %e A197479 0.681089818242874006185052816327828524925... %t A197479 b = 2; c = 3; f[x_] := Cos[x] %t A197479 t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .6, .8}, WorkingPrecision -> 200] %t A197479 RealDigits[t] (* A197479 *) %t A197479 Plot[{f[b*x], f[c*x]^2}, {x, 0, 1}] %Y A197479 Cf. A197476. %K A197479 nonn,cons %O A197479 0,1 %A A197479 _Clark Kimberling_, Oct 15 2011