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.

A387094 An infinite variant of the EKG sequence (A064413) such that for any n > 0, a(2*n) > a(2*n-1) and a(2*n) > a(2*n+1).

This page as a plain text file.
%I A387094 #10 Aug 23 2025 10:21:29
%S A387094 1,4,2,6,3,12,8,10,5,15,9,18,14,20,16,22,11,33,21,27,24,26,13,39,30,
%T A387094 32,28,34,17,51,36,38,19,57,42,44,40,45,25,35,7,56,46,50,48,54,52,58,
%U A387094 29,87,60,62,31,93,63,66,55,70,49,84,64,72,68,74,37,111,69
%N A387094 An infinite variant of the EKG sequence (A064413) such that for any n > 0, a(2*n) > a(2*n-1) and a(2*n) > a(2*n+1).
%C A387094 For the sequence to be infinite, when computing a term with even index, say a(2*n) for some n > 1, we must ensure that some missing value v < a(2*n) such that gcd(a(2*n), v) != 1 exists.
%C A387094 Will every integer appear in the sequence?
%H A387094 Rémy Sigrist, <a href="/A387094/b387094.txt">Table of n, a(n) for n = 1..10001</a>
%H A387094 Rémy Sigrist, <a href="/A387094/a387094.gp.txt">PARI program</a>
%H A387094 <a href="/index/Ed#EKG">Index entries for sequences related to EKG sequence</a>
%e A387094 Sequence begins:
%e A387094   n   a(n)
%e A387094   --  ----
%e A387094    1     1
%e A387094    2     4
%e A387094    3     2
%e A387094    4     6
%e A387094    5     3
%e A387094    6    12
%e A387094    7     8
%e A387094    8    10
%e A387094    9     5
%e A387094   10    15
%e A387094   11     9
%e A387094   12    18
%e A387094   13    14
%e A387094   14    20
%e A387094   15    16
%e A387094   16    22
%e A387094   17    11
%o A387094 (PARI) \\ See Links section.
%Y A387094 Cf. A064413.
%K A387094 nonn,new
%O A387094 1,2
%A A387094 _Rémy Sigrist_, Aug 16 2025