A060766 Least common multiple of differences between consecutive divisors of n (ordered by size).

1, 2, 2, 4, 3, 6, 4, 6, 15, 10, 6, 12, 35, 10, 8, 16, 9, 18, 10, 28, 99, 22, 12, 20, 143, 18, 42, 28, 60, 30, 16, 88, 255, 28, 18, 36, 323, 130, 60, 40, 21, 42, 154, 60, 483, 46, 24, 42, 75, 238, 234, 52, 27, 132, 84, 304, 783, 58, 60, 60, 899, 84, 32, 104, 165, 66, 442

Offset

2,2

Links

Harvey P. Dale, Table of n, a(n) for n = 2..1000

Formula

a(n) = A290103(A328023(n)). - Gus Wiseman, Oct 16 2019

Example

For n=98, divisors={1,2,7,14,49,98}; differences={1,5,7,35,49}; a(98) = LCM of differences = 245.

Mathematica

a[n_ ] := LCM@@(Drop[d=Divisors[n], 1]-Drop[d, -1])
Table[LCM@@Differences[Divisors[n]], {n, 2, 70}] (* Harvey P. Dale, Oct 08 2012 *)

Crossrefs

The GCD version appears to be A258409.

The LCM of the prime indices of n is A290103(n).

The differences between consecutive divisors of n are row n of A193829.

Cf. A000005, A027750, A060680, A060681, A060683, A328023, A328026, A328219.

Sequence in context: A202479 A161660 A343327 * A321015 A365195 A365433

Adjacent sequences: A060763 A060764 A060765 * A060767 A060768 A060769

Keyword

nonn

Author

Labos Elemer, Apr 24 2001

Extensions

Edited by Dean Hickerson, Jan 22 2002

Status

approved