A001579, A001550, etc./Correction

[Richard Guy]

I'd go a bit further.  9 choose 3 is only 84,
which is not much more than 0.1% of the database.

It shouldn't be much trouble to add  a^n + b^n + c^n
for {a,b,c} in {1,2,...,9}.  Things of this sort
have turned up in the areas between partition
theory and surface physics, if you really want
some justification.    R.

On Thu, 22 Aug 2002, Marc LeBrun wrote:

> 
> >Henry, I can't speak specifically about A001579, but it seems to me that 
> >the general idea is for the EIS to be as inclusive as possible.
> 
> >Neil has always had a "big tent" policy, and I've slowly come to 
> >appreciate the wisdom of it.  First, unless a sequence is in the database 
> >it can't be found, either by users or programs like superseeker.  Second, 
> >it's hard enough just to get sequences into the database in the first 
> >place, without having to worry unduly about whether they're "interesting 
> >enough".  Third, reasonable people will differ about what's interesting 
> >anyway.  For example I don't much care for sequences that depend on 
> >decimal representation--but if you do, knock yourself out (and then at 
> >least the sequence for the base=10 case will be there!<;-).
> 
> >Thus all it may mean is that somebody found 3^n + 5^n + 6^n interesting 
> >enough to include...so there it is (kind of like the so-called anthropic 
> >principle, as applied to sequences).
> 
> If you find a different set of {a,b,c} make interesting a^n + b^n + c^n, 
> then by all means please include them too!
> 
> 
> 
> 
> 
> 
> 
> 
> 
> 
> 
> 
> 
> 
> 
> 
>