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 A197393 #14 Apr 10 2021 11:48:17 %S A197393 2,5,3,8,6,5,6,3,3,5,9,0,7,9,4,1,6,9,7,8,7,2,3,7,0,2,9,9,4,0,7,5,7,7, %T A197393 6,1,4,7,9,5,7,4,2,5,5,4,6,7,6,1,7,2,2,0,2,9,0,3,3,7,8,3,6,5,7,7,3,1, %U A197393 7,7,1,3,8,6,6,7,6,6,1,9,6,4,1,5,3,6,5,0,3,5,3,3,7,0,3,3,9,9,4 %N A197393 Decimal expansion of least x > 0 having sin(Pi*x/4) = sin(x/2)^2. %C A197393 The Mathematica program includes a graph. See A197133 for a guide to least x > 0 satisfying sin(b*x) = sin(c*x)^2 for selected b and c. %e A197393 x=2.53865633590794169787237029940757761479574... %t A197393 b = Pi/4; c = 1/2; f[x_] := Sin[x] %t A197393 t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, 2.5, 2.6}, WorkingPrecision -> 200] %t A197393 RealDigits[t](* A197393 *) %t A197393 Plot[{f[b*x], f[c*x]^2}, {x, 0, 2.8}] %Y A197393 Cf. A197133. %K A197393 nonn,cons %O A197393 1,1 %A A197393 _Clark Kimberling_, Oct 14 2011