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Search: id:A137266
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| A137266 |
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a(n) = number of positive integers k where k divides (n - floor(n/k)). |
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+0
3
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| 1, 1, 2, 3, 2, 2, 3, 4, 3, 3, 3, 4
(list; graph; listen)
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OFFSET
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1,3
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EXAMPLE
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For n = 8, checking: 1 divides (8 - floor(8/1))=0. 2 divides (8 - floor(8/2))=4. 3 divides (8 - floor(8/3))=6. 4 doesn't divide (8 - floor(8/4))=6. 5 doesn't divide (8 - floor(8/5))=7. 6 doesn't divide (8 - floor(8/6))=7. 7 divides (8 - floor(8/7))=7. 8 doesn't divide (8 - floor(8/8))=7. For k > 8, k doesn't divide (n - floor(n/k)) = n. There are 4 cases where k does divide (n-floor(n/k)); so a(8) = 4.
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CROSSREFS
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Sequence in context: A118480 A104377 A109337 this_sequence A062948 A096258 A049879
Adjacent sequences: A137263 A137264 A137265 this_sequence A137267 A137268 A137269
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KEYWORD
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more,nonn
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AUTHOR
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Leroy Quet (qq-quet(AT)mindspring.com), Apr 26 2008
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