# [seqfan] Re: There are more terms in this sequence?

Charles Greathouse charles.greathouse at case.edu
Thu Feb 3 22:08:01 CET 2011

```0 has divisors 0, 1, 2, ....

The sum of the first 0 divisor squares is sum {} = 0.

The sum of the first 1 divisor square is sum{0^2} = 0.

I absolutely, wholeheartedly think that the empty sum counts -- must
count -- in these sorts of problems.  But Benoît Jubin points out that
in this case we don't need to in this case.

Charles Greathouse
Analyst/Programmer
Case Western Reserve University

On Thu, Feb 3, 2011 at 3:33 PM, Hans Havermann <pxp at rogers.com> wrote:
> Benoît Jubin:
>
>> 0 is the sum of (the squares of) its first k divisors for two
>> different values of k (0 and 1)
>
> I can't figure out what this means.
>
> If you meant:
>
> 0 is the sum of (the squares of) its first 0 divisors for two different
> values (0 and 1)
>
> then I disagree, believing the sum to be a null set for both 0 and 1.
>
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```