

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.


2



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
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OFFSET

1,2


LINKS

Table of n, a(n) for n=1..47.


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}] (* Ray Chandler, Jan 22 2007 *)


CROSSREFS

Cf. A127611, A127613.
Sequence in context: A324576 A109607 A324581 * A038756 A011164 A082234
Adjacent sequences: A127609 A127610 A127611 * A127613 A127614 A127615


KEYWORD

frac,nonn


AUTHOR

Leroy Quet, Jan 19 2007


EXTENSIONS

Extended by Ray Chandler, Jan 22 2007


STATUS

approved



