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 A197571 #14 Jan 12 2025 14:24:45 %S A197571 2,7,5,1,5,5,8,5,5,0,7,9,9,8,7,5,1,3,7,7,0,9,8,5,8,2,0,9,0,2,1,3,7,9, %T A197571 7,2,2,0,8,2,9,6,6,3,1,4,4,8,2,5,9,1,7,9,4,0,3,3,8,1,4,8,3,7,7,4,2,8, %U A197571 3,1,1,3,6,0,2,5,8,1,1,1,1,1,6,0,0,0,7,8,3,7,4,1,4,9,6,5,4,9,3 %N A197571 Decimal expansion of least x > 0 having sin(x) = sin(3*Pi*x)^2. %C A197571 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 A197571 x=0.275155855079987513770985820902137972... %t A197571 b = 1; c = 3*Pi; f[x_] := Sin[x] %t A197571 t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .27, .28}, WorkingPrecision -> 200] %t A197571 RealDigits[t] (* A197571 *) %t A197571 Plot[{f[b*x], f[c*x]^2}, {x, 0, .5}] %Y A197571 Cf. A197133. %K A197571 nonn,cons %O A197571 0,1 %A A197571 _Clark Kimberling_, Oct 16 2011 %E A197571 Name corrected by _Sean A. Irvine_, Jan 12 2025