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 A197482 #7 Feb 22 2025 18:49:23 %S A197482 1,8,4,3,7,6,8,1,7,6,0,3,1,7,2,1,5,6,9,6,3,9,9,3,8,4,9,7,7,2,3,6,2,1, %T A197482 2,7,3,1,4,5,9,9,1,3,5,1,6,5,3,9,9,3,0,9,3,2,5,4,2,7,2,3,0,7,6,3,8,2, %U A197482 4,4,1,3,0,1,5,3,3,2,5,3,8,9,7,4,9,9,4,1,8,9,9,1,0,2,9,9,9,1,0 %N A197482 Decimal expansion of least x>0 having cos(3x)=(cos 2x)^2. %C A197482 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 A197482 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>. %e A197482 1.843768176031721569639938497723621273145... %t A197482 b = 3; c = 2; f[x_] := Cos[x] %t A197482 t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, 1.8, 1.9}, WorkingPrecision -> 200] %t A197482 RealDigits[t] (* A197482 *) %t A197482 Plot[{f[b*x], f[c*x]^2}, {x, 0, 2.5}] %Y A197482 Cf. A197476. %K A197482 nonn,cons %O A197482 1,2 %A A197482 _Clark Kimberling_, Oct 15 2011