cp's OEIS Frontend

A285299 Lexicographically earliest sequence of distinct positive terms such that the product of two consecutive terms is divisible by p^3 for some prime p.

%I A285299 #12 Apr 20 2017 12:33:37
%S A285299 1,8,2,4,6,9,3,16,5,24,7,27,10,12,14,20,18,15,25,30,28,22,32,11,40,13,
%T A285299 48,17,54,19,56,21,36,26,44,34,52,38,60,42,45,33,63,39,64,23,72,29,80,
%U A285299 31,81,35,49,70,50,55,75,65,88,37,96,41,104,43,108,46,68
%N A285299 Lexicographically earliest sequence of distinct positive terms such that the product of two consecutive terms is divisible by p^3 for some prime p.
%C A285299 This sequence is a permutation of the natural numbers.
%H A285299 Rémy Sigrist, <a href="/A285299/b285299.txt">Table of n, a(n) for n = 1..10000</a>
%H A285299 Rémy Sigrist, <a href="/A285299/a285299.txt">C++ program for A285299</a>
%H A285299 <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>
%e A285299 The first terms, alongside the primes p such that p^3 divides a(n)*a(n+1), are:
%e A285299 n       a(n)    p
%e A285299 --      ----    -
%e A285299 1       1       2
%e A285299 2       8       2
%e A285299 3       2       2
%e A285299 4       4       2
%e A285299 5       6       3
%e A285299 6       9       3
%e A285299 7       3       2
%e A285299 8       16      2
%e A285299 9       5       2
%e A285299 10      24      2
%e A285299 11      7       3
%e A285299 12      27      3
%e A285299 13      10      2
%e A285299 14      12      2
%e A285299 15      14      2
%e A285299 16      20      2
%e A285299 17      18      3
%e A285299 18      15      5
%e A285299 19      25      5
%e A285299 20      30      2
%e A285299 ...
%e A285299 64      43      3
%e A285299 65      108     2, 3
%e A285299 66      46      2
%e A285299 ...
%Y A285299 Cf. A285296.
%K A285299 nonn
%O A285299 1,2
%A A285299 _Rémy Sigrist_, Apr 16 2017