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.

A117672 Numbers n such that |cos(n)*cos(n+2)| < (cos(n+1))^2.

This page as a plain text file.
%I A117672 #7 Sep 25 2019 19:18:37
%S A117672 2,3,5,6,8,9,11,12,14,15,17,18,21,24,25,27,28,30,31,33,34,36,37,39,40,
%T A117672 43,46,47,49,50,52,53,55,56,58,59,61,62,65,68,69,71,72,74,75,77,78,80,
%U A117672 81,83,84,87,90,91,93,94,96,97,99,100,102,103,105,106,109,112,113,115
%N A117672 Numbers n such that |cos(n)*cos(n+2)| < (cos(n+1))^2.
%C A117672 What is the density of the sequence? I am convinced that this sequence has the same density as A026313.
%e A117672 |cos(5)*cos(7)| < (cos(6))^2, therefore 5 is in the sequence.
%t A117672 Select[Range[120], Abs[Cos[ # ]*Cos[ # + 2]] < Cos[ # + 1]^2 &]
%Y A117672 Cf. A026313 [same definition with sin instead of cos].
%K A117672 nonn
%O A117672 1,1
%A A117672 _Stefan Steinerberger_, Apr 12 2006
%E A117672 Offset corrected by _Sean A. Irvine_, Sep 25 2019