|
|
|
|
| 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.
(history;
published version)
|
|
|
|
|
#12 by N. J. A. Sloane at Thu Apr 20 12:33:37 EDT 2017
|
|
|
|
|
|
|
|
#11 by Anton Mosunov at Thu Apr 20 09:45:23 EDT 2017
|
|
|
|
|
|
|
|
#10 by Rémy Sigrist at Thu Apr 20 01:17:23 EDT 2017
|
|
|
|
|
|
|
|
#9 by Rémy Sigrist at Thu Apr 20 01:16:07 EDT 2017
|
|
| LINKS
|
<a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>
<a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>
|
|
| STATUS
|
proposed
editing
|
|
|
|
|
|
|
#8 by Rémy Sigrist at Wed Apr 19 17:18:17 EDT 2017
|
|
|
|
|
|
|
|
#7 by Rémy Sigrist at Wed Apr 19 16:19:30 EDT 2017
|
|
| EXAMPLE
|
The first terms, alongside the primes p such that p^3 divides a(n)*a(n+1), are:
n a(n) p
-- ---- -
1 1 2
2 8 2
3 2 2
4 4 2
5 6 3
6 9 3
7 3 2
8 16 2
9 5 2
10 24 2
11 7 3
12 27 3
13 10 2
14 12 2
15 14 2
16 20 2
17 18 3
18 15 5
19 25 5
20 30 2
...
64 43 3
65 108 2, 3
66 46 2
...
|
|
|
|
|
|
|
#6 by Rémy Sigrist at Wed Apr 19 15:55:10 EDT 2017
|
|
| COMMENTS
|
This sequence is a permutation of the natural numbers.
|
|
| LINKS
|
Rémy Sigrist, <a href="/A285299/b285299.txt">Table of n, a(n) for n = 1..10000</a>
Rémy Sigrist, <a href="/A285299/a285299.txt">C++ program for A285299</a>
|
|
|
|
|
|
|
#5 by Rémy Sigrist at Tue Apr 18 14:39:58 EDT 2017
|
|
| LINKS
|
<a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>
|
|
|
|
|
|
|
#4 by Rémy Sigrist at Tue Apr 18 00:26:49 EDT 2017
|
|
| NAME
|
Lexicographically earliest sequence of distinct positive terms such that the product of two consecutive terms is divisible by p^3 for some notprime cubefreep.
|
|
|
|
|
|
|
#3 by David A. Corneth at Sun Apr 16 10:57:43 EDT 2017
|
|
| NAME
|
Lexicographically earliest sequence of distinct positive terms suhsuch that the product of two consecutive terms is not cubefree.
|
|
|
|
|
Discussion
|
| Sun Apr 16
| 12:53
| Omar E. Pol: Could you please add a program and examples?
|
|
|
|
|
|
