cp's OEIS Frontend

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.

A197330 Decimal expansion of least x > 0 having sin(2*x) = sin(Pi*x/4)^2.

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%I A197330 #12 Apr 10 2021 11:33:22
%S A197330 1,2,0,9,3,8,6,1,0,2,8,7,1,7,0,5,2,3,4,2,5,4,4,3,0,4,4,4,6,2,6,8,0,4,
%T A197330 9,1,6,0,6,5,5,0,4,6,6,6,0,7,6,3,7,4,4,5,0,4,0,4,3,9,7,7,2,5,7,0,5,1,
%U A197330 4,0,3,6,1,7,7,2,6,4,8,7,2,9,6,3,7,3,1,1,6,6,2,8,5,0,6,8,6,2,4
%N A197330 Decimal expansion of least x > 0 having sin(2*x) = sin(Pi*x/4)^2.
%C A197330 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.
%e A197330 x=1.20938610287170523425443044462680491606...
%t A197330 b = 2; c = Pi/4; f[x_] := Sin[x]
%t A197330 t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, 1, 1.5}, WorkingPrecision -> 200]
%t A197330 RealDigits[t]  (* A197330 *)
%t A197330 Plot[{f[b*x], f[c*x]^2}, {x, 0, 1.5}]
%Y A197330 Cf. A197133.
%K A197330 nonn,cons
%O A197330 1,2
%A A197330 _Clark Kimberling_, Oct 13 2011