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Search: id:A127611
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| A127611 |
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a(n) = numerator of the continued fraction which has the positive divisors of n as its terms. |
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+0
3
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| 1, 3, 4, 13, 6, 63, 8, 107, 37, 163, 12, 3259, 14, 311, 319, 1725, 18, 10449, 20, 13928, 613, 751, 24, 638475, 151, 1043, 1003, 37306, 30, 1513023, 32, 55307, 1489, 1771, 1511, 19381852, 38, 2207, 2071, 4538318, 42, 5649833, 44, 142046, 131413, 3223, 48
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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The divisors can be written either from largest to smallest or from smallest to largest and the numerator of the continued fraction would remain unchanged.
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LINKS
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Leroy Quet, Home Page (listed in lieu of email address)
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EXAMPLE
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The divisors of 6 are 1,2,3,6. So a(6) is the numerator of 1 +1/(2 +1/(3 +1/6)) = 63/44. a(6) is also the numerator of 6 +1/(3 +1/(2+1/1)) = 63/10.
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MATHEMATICA
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f[n_] := Numerator[FromContinuedFraction[Divisors[n]]]; Table[f[n], {n, 47}] (*Chandler*)
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CROSSREFS
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Cf. A127612, A127613.
Sequence in context: A127690 A092417 A071543 this_sequence A082197 A138101 A095790
Adjacent sequences: A127608 A127609 A127610 this_sequence A127612 A127613 A127614
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KEYWORD
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frac,nonn
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AUTHOR
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Leroy Quet Jan 19 2007
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EXTENSIONS
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Extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Jan 22 2007
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