A285299 - OEIS

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A285299 - OEIS

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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.

2

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, 48, 17, 54, 19, 56, 21, 36, 26, 44, 34, 52, 38, 60, 42, 45, 33, 63, 39, 64, 23, 72, 29, 80, 31, 81, 35, 49, 70, 50, 55, 75, 65, 88, 37, 96, 41, 104, 43, 108, 46, 68

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

COMMENTS

This sequence is a permutation of the natural numbers.

LINKS

Rémy Sigrist, Table of n, a(n) for n = 1..10000

Rémy Sigrist, C++ program for A285299

Index entries for sequences that are permutations of the natural numbers

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

...

CROSSREFS

Sequence in context: A342261 A010520 A169847 * A073440 A245533 A021552

Adjacent sequences: A285296 A285297 A285298 * A285300 A285301 A285302

KEYWORD

nonn

AUTHOR

Rémy Sigrist, Apr 16 2017

STATUS

approved