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A284038 Lexicographically earliest sequence of distinct positive terms such that A000196(n) divides a(n).

%I A284038 #25 May 26 2017 21:16:23
%S A284038 1,2,3,4,6,8,10,12,9,15,18,21,24,27,30,16,20,28,32,36,40,44,48,52,5,
%T A284038 25,35,45,50,55,60,65,70,75,80,42,54,66,72,78,84,90,96,102,108,114,
%U A284038 120,126,7,14,49,56,63,77,91,98,105,112,119,133,140,147,154,64
%N A284038 Lexicographically earliest sequence of distinct positive terms such that A000196(n) divides a(n).
%C A284038 This is a permutation of the natural numbers, with inverse A287433; for any n > 0, n appears among the first n^2 terms.
%C A284038 This sequence is similar to A075383: here we have runs of length 2*k+1, there of length k, of multiples of k.
%C A284038 a(p^2) = p for any prime p > 3.
%C A284038 All fixed points belong to A006446.
%C A284038 Conjecturally:
%C A284038 - all fixed points > 3 are squares,
%C A284038 - if a(n) < n, then A000196(n) belongs to A007310 \ {1},
%C A284038 - if k belongs to A007310 \ {1}, then a(n) < n for some n such that A000196(n) = k.
%H A284038 Rémy Sigrist, <a href="/A284038/b284038.txt">Table of n, a(n) for n = 1..10000</a>
%H A284038 Rémy Sigrist, <a href="/A284038/a284038.gp.txt">PARI program for A284038</a>
%H A284038 <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>
%Y A284038 Cf. A000196, A006446, A007310, A075383, A287433 (inverse).
%K A284038 nonn
%O A284038 1,2
%A A284038 _Rémy Sigrist_, May 25 2017