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A127612 a(n) = denominator of the continued fraction which has the positive divisors of n as its terms. The terms are written in order from 1 for the integer part, to n for the final term of the continued fraction. +0
3
1, 2, 3, 9, 5, 44, 7, 74, 28, 112, 11, 2274, 13, 212, 243, 1193, 17, 7298, 19, 9627, 465, 508, 23, 445502, 126, 704, 759, 25797, 29, 1056347, 31, 38250, 1125, 1192, 1265, 13523875, 37, 1484, 1563, 3136897, 41, 3946112, 43, 98265, 100092, 2164, 47 (list; graph; listen)
OFFSET

1,2

EXAMPLE

The divisors of 6 are 1,2,3,6. So a(6) is the denominator of 1 +1/(2 +1/(3 +1/6)) = 63/44.

MATHEMATICA

f[n_] := Denominator[FromContinuedFraction[Divisors[n]]]; Table[f[n], {n, 48}] (*Chandler*)

CROSSREFS

Cf. A127611, A127613.

Sequence in context: A083173 A120725 A109607 this_sequence A038756 A011164 A082234

Adjacent sequences: A127609 A127610 A127611 this_sequence A127613 A127614 A127615

KEYWORD

frac,nonn

AUTHOR

Leroy Quet (qq-quet(AT)mindspring.com), Jan 19 2007

EXTENSIONS

Extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Jan 22 2007

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Last modified July 26 13:41 EDT 2008. Contains 142293 sequences.


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