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A112624 If p^b(p,n) is the highest power of the prime p dividing n, then a(n) = product_{p|n} b(p,n)!. +0
1
1, 1, 1, 2, 1, 1, 1, 6, 2, 1, 1, 2, 1, 1, 1, 24, 1, 2, 1, 2, 1, 1, 1, 6, 2, 1, 6, 2, 1, 1, 1, 120, 1, 1, 1, 4, 1, 1, 1, 6, 1, 1, 1, 2, 2, 1, 1, 24, 2, 2, 1, 2, 1, 6, 1, 6, 1, 1, 1, 2, 1, 1, 2, 720, 1, 1, 1, 2, 1, 1, 1, 12, 1, 1, 2, 2, 1, 1, 1, 24, 24, 1, 1, 2, 1, 1, 1, 6, 1, 2, 1, 2, 1, 1, 1, 120, 1, 2, 2, 4, 1 (list; graph; listen)
OFFSET

1,4

LINKS

Leroy Quet, Home Page (listed in lieu of email address)

EXAMPLE

45 = 3^2 * 5^1. So a(45) = 2! * 1! = 2.

MATHEMATICA

f[n_] := Block[{fi = Last@Transpose@FactorInteger@n}, Times @@ (fi!)]; Array[f, 101] (* Robert G. Wilson v *)

CROSSREFS

Sequence in context: A156233 A060185 A129110 this_sequence A139329 A069777 A064992

Adjacent sequences: A112621 A112622 A112623 this_sequence A112625 A112626 A112627

KEYWORD

nonn

AUTHOR

Leroy Quet, Dec 25 2005

EXTENSIONS

More terms from Robert G. Wilson v (rgwv(at)rgwv.com), Dec 27 2005

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.


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