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A056538 Replace n by its divisors in reverse order. 9
1, 2, 1, 3, 1, 4, 2, 1, 5, 1, 6, 3, 2, 1, 7, 1, 8, 4, 2, 1, 9, 3, 1, 10, 5, 2, 1, 11, 1, 12, 6, 4, 3, 2, 1, 13, 1, 14, 7, 2, 1, 15, 5, 3, 1, 16, 8, 4, 2, 1, 17, 1, 18, 9, 6, 3, 2, 1, 19, 1, 20, 10, 5, 4, 2, 1, 21, 7, 3, 1, 22, 11, 2, 1, 23, 1, 24, 12, 8, 6, 4, 3, 2, 1, 25, 5, 1, 26, 13, 2, 1, 27, 9 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

This gives the second elements of the ordered pairs (a,b) a >= 1, b >= 1 ordered by their product ab.

LINKS

O. E. Pol, Illustration of the divisors of n [From Omar E. Pol (info(AT)polprimos.com), Nov 22 2009]

EXAMPLE

Contribution from Omar E. Pol (info(AT)polprimos.com), Nov 22 2009: (Start)

Triangle begins:

1;

2, 1;

3, 1;

4, 2, 1;

5, 1;

6, 3, 2, 1;

7, 1;

8, 4, 2, 1;

9, 3, 1;

10, 5, 2, 1;

11, 1;

12, 6, 4, 3, 2, 1;

13, 1;

14, 7, 2, 1;

15, 5, 3, 1;

16, 8, 4, 2, 1;

17, 1;

18, 9, 6, 3, 2, 1;

19, 1;

20, 10, 5, 4, 2, 1;

(End)

MAPLE

map(op, [seq(reverse(sort(divisors(j))), j=1..30)]);

cdr := proc(l) if 0 = nops(l) then ([]) else (l[2..nops(l)]): fi: end:

reverse := proc(l) if 0 = nops(l) then ([]) else [op(reverse(cdr(l))), l[1]]; fi: end:

PROG

(MAGMA) [Reverse(Divisors(n)) : n in [1..30]];

CROSSREFS

Cf. A027750 for the first elements, A056534.

a(n) = A064894(A064896(n))

Cf. A168017. [From Omar E. Pol (info(AT)polprimos.com), Nov 22 2009]

Sequence in context: A087114 A088242 A113398 * A120385 A195836 A132460

Adjacent sequences:  A056535 A056536 A056537 * A056539 A056540 A056541

KEYWORD

nonn,tabf

AUTHOR

Antti Karttunen Jun 20, 2000

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Last modified February 15 20:26 EST 2012. Contains 205852 sequences.