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Search: id:A071773
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A071773 GCD(sfk(n),n/sfk(n)), where sfk(n)=A007947(n) is the square-free kernel of n. +0
1
1, 1, 1, 2, 1, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 2, 1, 1, 1, 2, 5, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 6, 1, 1, 1, 2, 1, 1, 1, 2, 3, 1, 1, 2, 7, 5, 1, 2, 1, 3, 1, 2, 1, 1, 1, 2, 1, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 6, 1, 1, 5, 2, 1, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 2, 1, 1, 1, 2, 1, 7, 3, 10, 1, 1, 1, 2 (list; graph; listen)
OFFSET

1,4

COMMENT

a(n)=gcd(A007947(n), A003557(n));

n is square-free iff a(n)=1.

LINKS

Eric Weisstein's World of Mathematics, Squarefree.

FORMULA

Multiplicative with p^e -> p^ceil((e-1)/e), p prime.

CROSSREFS

Cf. A005117.

Adjacent sequences: A071770 A071771 A071772 this_sequence A071774 A071775 A071776

Sequence in context: A130777 A046854 A066170 this_sequence A000188 A097886 A088863

KEYWORD

nonn,mult

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), Jun 24 2002

page 1

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Last modified May 16 01:24 EDT 2008. Contains 139630 sequences.


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