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A057449 Product of differences between consecutive positive divisors of n. 2
1, 1, 2, 2, 4, 3, 6, 8, 12, 15, 10, 12, 12, 35, 40, 64, 16, 81, 18, 100, 112, 99, 22, 192, 80, 143, 216, 588, 28, 600, 30, 1024, 352, 255, 224, 1944, 36, 323, 520, 2400, 40, 3087, 42, 3388, 2880, 483, 46, 12288, 252, 5625, 952, 6084, 52, 19683, 1056, 14112, 1216 (list; graph; refs; listen; history; internal format)
OFFSET

1,3

COMMENTS

Row products of triangle A193829, if n >= 2. - Omar E. Pol, Aug 31 2011

LINKS

Alois P. Heinz, Table of n, a(n) for n = 1..10000

EXAMPLE

Since positive divisors of 12 are 1, 2, 3, 4, 6 and 12, a(12) = (2-1) *(3-2) *(4-3) *(6-4) *(12-6) = 1 *1 *1 *2 *6 = 12.

MATHEMATICA

Times@@Differences[Divisors[#]]&/@Range[80]  (* From Harvey P. Dale, Apr 20 2011 *)

CROSSREFS

Sequence in context: A037145 A101200 A122585 * A007439 A096441 A100824

Adjacent sequences:  A057446 A057447 A057448 * A057450 A057451 A057452

KEYWORD

nonn

AUTHOR

Leroy Quet Sep 25 2000

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Last modified February 16 21:51 EST 2012. Contains 205978 sequences.