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 A197376 #15 Feb 14 2025 17:34:36 %S A197376 2,2,1,4,2,9,7,4,3,5,5,8,8,1,8,1,0,0,6,0,3,4,1,3,0,9,2,0,3,5,7,0,7,4, %T A197376 0,8,0,1,4,0,0,9,5,2,9,0,8,0,2,8,6,5,2,9,3,3,5,3,0,7,8,4,1,4,8,6,7,4, %U A197376 2,0,6,7,7,9,5,4,7,2,5,5,8,8,0,2,6,8,3,4,2,5,7,3,7,2,3,4,1,2,8 %N A197376 Decimal expansion of least x>0 having sin(x)=(sin (x/2))^2. %C A197376 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. %H A197376 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>. %F A197376 Equals 2*A105199. - _R. J. Mathar_, Aug 27 2024 %e A197376 2.2142974355881810060341309203570740... %t A197376 b = 1; c = 1/2; f[x_] := Sin[x] %t A197376 t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, 2, 2.5}, WorkingPrecision -> 200] %t A197376 RealDigits[t] (* *) %t A197376 Plot[{f[b*x], f[c*x]^2}, {x, 0, 2.5}] %t A197376 RealDigits[ 2*ArcCos[ 1/Sqrt[5] ], 10, 99] // First (* _Jean-François Alcover_, Feb 19 2013 *) %Y A197376 Cf. A197133. %K A197376 nonn,cons %O A197376 1,1 %A A197376 _Clark Kimberling_, Oct 14 2011