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.

A197390 Decimal expansion of least x > 0 having sin(Pi*x/4) = sin(x)^2.

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%I A197390 #13 Apr 10 2021 11:45:13
%S A197390 9,9,7,2,7,3,0,3,0,9,5,9,9,9,6,5,7,1,6,6,4,3,8,3,4,5,7,5,4,4,6,4,5,3,
%T A197390 9,4,1,3,2,0,9,1,2,7,5,4,4,8,6,0,4,0,3,8,7,1,4,0,6,7,1,9,8,4,7,2,2,7,
%U A197390 0,6,4,5,0,7,7,2,3,0,9,3,7,1,9,7,4,2,1,0,6,3,9,5,0,1,5,8,5,6,9
%N A197390 Decimal expansion of least x > 0 having sin(Pi*x/4) = sin(x)^2.
%C A197390 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 A197390 x=0.99727303095999657166438345754464539413...
%t A197390 b = Pi/4; c = 1; f[x_] := Sin[x]
%t A197390 t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .95, 1.1}, WorkingPrecision -> 200]
%t A197390 RealDigits[t] (* A197390 *)
%t A197390 Plot[{f[b*x], f[c*x]^2}, {x, 0, 3}]
%Y A197390 Cf. A197133.
%K A197390 nonn,cons
%O A197390 0,1
%A A197390 _Clark Kimberling_, Oct 14 2011