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Search: id:A078599
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| A078599 |
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Product of square-free divisors of n. |
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+0
1
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| 1, 2, 3, 2, 5, 36, 7, 2, 3, 100, 11, 36, 13, 196, 225, 2, 17, 36, 19, 100, 441, 484, 23, 36, 5, 676, 3, 196, 29, 810000, 31, 2, 1089, 1156, 1225, 36, 37, 1444, 1521, 100, 41, 3111696, 43, 484, 225, 2116, 47, 36, 7, 100, 2601, 676, 53, 36, 3025, 196, 3249, 3364
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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a(n)=a(sfk(n)), where sfk(n) is the square-free kernel of n; a(A006881(n))=A006881(n)^2; a(A000040(n))=A000040(n).
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..1000
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FORMULA
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a(n) = A007955(A007947(n)) - T. D. Noe, Jul 08 2008
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EXAMPLE
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Divisors of n=20: {1,2,4,5,10,20}, 4=2^2 and 20=5*2^2, therefore a(20)=1*2*5*10=100.
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CROSSREFS
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Cf. A005117, A007947, A034444.
Sequence in context: A037279 A106736 A085307 this_sequence A033031 A134060 A097914
Adjacent sequences: A078596 A078597 A078598 this_sequence A078600 A078601 A078602
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KEYWORD
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nonn
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AUTHOR
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Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), Dec 09 2002
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