A001579, A001550, etc./Correction

[Henry Gould]

That is exactly what I believe would be good to add to the database. Can
someone
generate what Richard suggests easily and add it to the OEIS?

And to Neil: yeah, I figured as much. I was just bemused not to find any
reference.
As I said, I go around adding up powers of digits in bills and telephone
numbers all
the time, so it was a natural for me to get to this one with my house number
and the
current year already!

Actually I must also add that I have been having a bit of corresondence with a
colleague
about Euler and Waring on sums of powers of numbers and it ties in there, so I
believe ,
to go further than Richard, that it would be of value to generate
a^n + b^n + c^n + d^n + . . . + k^n for {a, b, c, d, . . . , k} in the set {1,
2, 3, . . . 10}.

Henry Gould


Richard Guy wrote:

> 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!
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