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 A197493 #11 Feb 16 2025 05:25:00
%S A197493 1,3,2,6,9,8,0,0,9,2,1,1,3,2,7,4,6,4,1,5,7,9,6,7,2,3,3,3,8,3,0,3,8,0,
%T A197493 4,2,6,6,4,3,0,0,6,5,5,9,2,9,1,7,3,6,1,2,0,1,8,7,8,5,5,7,7,6,3,4,2,1,
%U A197493 8,6,5,6,9,5,8,4,3,8,9,3,8,4,7,3,2,9,4,3,5,3,6,8,0,5,2,7,7,9,0
%N A197493 Decimal expansion of least x > 0 having cos(x) = cos(Pi*x/2)^2.
%C A197493 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 A197493 This number is irrational. I cannot prove it to be algebraic or transcendental. - _Charles R Greathouse IV_, Feb 16 2025
%e A197493 1.32698009211327464157967233383038042664300...
%t A197493 b = 1; c = Pi/2; f[x_] := Cos[x]
%t A197493 t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, 1.32, 1.33},
%t A197493 WorkingPrecision -> 110]
%t A197493 RealDigits[t] (* A197493 *)
%t A197493 Plot[{f[b*x], f[c*x]^2}, {x, 0, 2}]
%Y A197493 Cf. A197476.
%K A197493 nonn,cons
%O A197493 1,2
%A A197493 _Clark Kimberling_, Oct 15 2011