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 A197492 #11 Feb 16 2025 05:25:03
%S A197492 8,1,1,4,9,3,3,2,1,5,0,2,4,9,6,4,3,0,2,3,2,1,6,9,5,5,4,1,1,6,6,1,3,8,
%T A197492 1,0,6,4,0,0,1,9,8,7,8,3,2,4,0,9,3,7,5,1,0,6,4,1,4,0,8,0,6,9,3,2,9,2,
%U A197492 5,7,1,3,8,8,9,0,4,4,0,1,6,0,0,9,7,1,1,4,4,6,6,4,0,1,1,5,2,5,8
%N A197492 Decimal expansion of least x > 0 having cos(x) = cos(Pi*x)^2.
%C A197492 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 A197492 This number is irrational. I cannot prove it to be algebraic or transcendental. - _Charles R Greathouse IV_, Feb 16 2025
%e A197492 0.811493321502496430232169554116613810...
%t A197492 b = 1; c = Pi; f[x_] := Cos[x]
%t A197492 t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .81, .82}, WorkingPrecision -> 110]
%t A197492 RealDigits[t] (* A197492 *)
%t A197492 Plot[{f[b*x], f[c*x]^2}, {x, 0, Pi/3}]
%Y A197492 Cf. A197476.
%K A197492 nonn,cons
%O A197492 0,1
%A A197492 _Clark Kimberling_, Oct 15 2011