a new sequence

franktaw at netscape.net franktaw at netscape.net
Tue May 16 21:44:34 CEST 2006


Clearly, you are not counting 0 = sum({}) as one of these sums.  Personally, I would include it.
 
This wouldn't change this sequence, but it would change A119347 and A119348.  A quick check shows that this "incremented" version of A119347 is not in the database.
 
Franklin T. Adams-Watters
 
-----Original Message-----
From: Emeric Deutsch deutsch at duke.poly.edu

...
 
Values of n such that the number of distinct sums of 
distinct divisors of n is less than 2^tau(n) - 1 (clearly, 
the latter is the largest number of possible distinct sums). 
 
...
 
The number of distinct sums of distinct divisors of n are 
given in A119347 and the triangle of the actual sums are 
given in A119348 (both already submitted). 
 
Thanks for just reading this. 
Emeric 
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