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 A197522 #17 Feb 14 2025 17:18:03 %S A197522 2,1,2,0,7,1,0,7,1,9,1,8,1,0,4,2,8,2,0,4,4,3,5,1,1,7,5,6,9,4,2,8,3,5, %T A197522 2,2,5,6,8,5,2,0,3,0,5,0,9,1,1,6,4,7,9,0,9,2,9,7,8,5,0,4,1,1,7,5,6,7, %U A197522 9,8,7,1,8,7,3,8,4,5,8,1,6,1,5,5,0,9,7,0,5,7,4,7,6,0,0,1,8,3,7 %N A197522 Decimal expansion of least x > 0 having sin(x) = sin(4*Pi*x)^2. %C A197522 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. %e A197522 0.212071071918104282044351175694283522568520305091... %t A197522 b = 1; c = 4*Pi; f[x_] := Sin[x] %t A197522 t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .21, .22}, WorkingPrecision -> 200] %t A197522 RealDigits[t] (* A197522 *) %t A197522 Plot[{f[b*x], f[c*x]^2}, {x, 0, .5}] %Y A197522 Cf. A197133. %K A197522 nonn,cons %O A197522 0,1 %A A197522 _Clark Kimberling_, Oct 16 2011 %E A197522 Name corrected by _Sean A. Irvine_, Jan 12 2025