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 A197575 #13 Jan 12 2025 14:15:40 %S A197575 4,6,9,9,1,1,4,0,0,5,7,6,9,0,6,9,6,0,9,2,9,1,9,7,3,6,6,5,5,2,7,7,5,2, %T A197575 0,0,8,1,6,0,5,2,5,7,1,2,0,4,6,6,9,5,2,7,0,2,4,8,5,6,1,6,1,3,2,8,5,7, %U A197575 7,5,3,2,6,9,3,4,0,5,8,5,5,5,1,0,4,6,0,5,7,8,7,6,8,6,9,7,4,1,4 %N A197575 Decimal expansion of least x > 0 having sin(x) = sin(Pi*x/2)^2. %C A197575 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 A197575 x=0.4699114005769069609291973665527752008160... %t A197575 b = 1; c = Pi/2; f[x_] := Sin[x] %t A197575 t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .45, .47}, WorkingPrecision -> 200] %t A197575 RealDigits[t] (* A197575 *) %t A197575 Plot[{f[b*x], f[c*x]^2}, {x, 0, 0.6}] %Y A197575 Cf. A197133. %K A197575 nonn,cons %O A197575 0,1 %A A197575 _Clark Kimberling_, Oct 16 2011 %E A197575 Name corrected by _Sean A. Irvine_, Jan 12 2025