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 A197256 #10 Feb 12 2025 16:24:36
%S A197256 0,8,4,5,3,5,2,3,0,6,6,9,1,6,3,4,4,0,0,2,2,7,6,5,2,4,4,7,8,1,1,1,9,7,
%T A197256 3,5,1,3,3,4,3,7,7,5,2,5,1,2,2,3,5,4,8,7,9,0,6,9,2,3,1,8,0,2,1,9,2,6,
%U A197256 0,4,3,6,8,0,1,1,6,0,4,0,8,8,9,2,9,1,8,5,8,2,6,6,3,9,1,9,3,3,3,6,5
%N A197256 Decimal expansion of least x>0 having sin(2x)=(sin 5x)^2.
%C A197256 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 A197256 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A197256 0.08453523066916344002276524478111...
%t A197256 b = 2; c = 5; f[x_] := Sin[x]
%t A197256 t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .06, .09}, WorkingPrecision -> 100]
%t A197256 RealDigits[t] (* A197256 *)
%t A197256 Plot[{f[b*x], f[c*x]^2}, {x, 0, Pi/2}]
%Y A197256 Cf. A197133.
%K A197256 nonn,cons
%O A197256 0,2
%A A197256 _Clark Kimberling_, Oct 12 2011