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Search: id:A092520
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| A092520 |
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Number of square divisors of n-th cube. |
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+0
1
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| 1, 2, 2, 4, 2, 4, 2, 5, 4, 4, 2, 8, 2, 4, 4, 7, 2, 8, 2, 8, 4, 4, 2, 10, 4, 4, 5, 8, 2, 8, 2, 8, 4, 4, 4, 16, 2, 4, 4, 10, 2, 8, 2, 8, 8, 4, 2, 14, 4, 8, 4, 8, 2, 10, 4, 10, 4, 4, 2, 16, 2, 4, 8, 10, 4, 8, 2, 8, 4, 8, 2, 20, 2, 4, 8, 8, 4, 8, 2, 14, 7, 4, 2, 16, 4, 4, 4, 10, 2, 16, 4, 8, 4, 4, 4, 16
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OFFSET
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1,2
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COMMENT
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a(n) = A000005(n) iff n is square-free.
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EXAMPLE
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n=12, the divisors of 12^3=1728 are 1=1^2, 2, 3, 4=2^2, 6, 8,
9=3^2, 12, 16=4^2, 18, 24, 27, 32, 36=6^2, 48, 54, 64=8^2, 72, 96, 108,
144=12^2, 192, 216, 288, 432, 576=24^2, 864 and 1728: eight of them are
squares, therefore a(12)=8.
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CROSSREFS
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Cf. A000578, A048785, A000290, A005117.
Sequence in context: A075526 A001223 A118776 this_sequence A147848 A129089 A124315
Adjacent sequences: A092517 A092518 A092519 this_sequence A092521 A092522 A092523
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KEYWORD
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nonn
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AUTHOR
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Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Apr 06 2004
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