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 A197488 #14 Feb 15 2025 08:33:03
%S A197488 9,2,1,8,8,4,0,8,8,0,1,5,8,6,0,7,8,4,8,1,9,9,6,9,2,4,8,8,6,1,8,1,0,6,
%T A197488 3,6,5,7,2,9,9,5,6,7,5,8,2,6,9,9,6,5,4,6,6,2,7,1,3,6,1,5,3,8,1,9,1,2,
%U A197488 2,0,6,5,0,7,6,6,6,2,6,9,4,8,7,4,9,7,0,9,4,9,5,5,1,4,9,9,5,5,1
%N A197488 Decimal expansion of least x > 0 having cos(6x) = (cos 4x)^2.
%C A197488 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.
%C A197488 Also the solution of the least x > 0 satisfying (cos(x))^2 + (sin(3x))^2 = 1/2. See A197739. - _Clark Kimberling_, Oct 19 2011
%H A197488 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A197488 0.9218840880158607848199692488618106365729956...
%t A197488 b = 6; c = 4; f[x_] := Cos[x]
%t A197488 t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .92, .93}, WorkingPrecision -> 100]
%t A197488 RealDigits[t] (* A197488 *)
%t A197488 Plot[{f[b*x], f[c*x]^2}, {x, 0, 1}]
%t A197488 RealDigits[ ArcCos[ Root[ -2 + 8#^2 - 6#^4 + #^6 & , 5]/2], 10, 99] // First (* _Jean-François Alcover_, Feb 19 2013 *)
%Y A197488 Cf. A197476.
%K A197488 nonn,cons
%O A197488 0,1
%A A197488 _Clark Kimberling_, Oct 15 2011
%E A197488 Digits from a(92) on corrected by _Jean-François Alcover_, Feb 19 2013