[seqfan] Re: Arithmetic progressions of squares
moshe.levin at mail.ru
Mon Oct 24 15:55:46 CEST 2011
I'm dreadfully sorry, but how can 198384 be approved (in such a great hurry ; -))
without knowing what the data mean
(e.g. order of entries) and with cfs. to even not-submitted sequences.
Sure I'm terribly missing something here,
PS Sure this is to Editor(s), not submitter.
24 октября 2011, 15:44 от Reinhard Zumkeller <reinhard.zumkeller at gmail.com>:
> ... please have a look at https://oeis.org/draft/A198384 .. A198390 (still
> in limbo). Later I will also try the second part (restricted triples).
> 2011/10/24 Benoît Jubin <benoit.jubin at gmail.com>
> > Dear Seqfans,
> > There does not seem to be OEIS sequences listing arithmetic
> > progressions of squares. The triples are characterized in
> > http://www.math.uconn.edu/~kconrad/blurbs/ugradnumthy/3squarearithprog.pdf
> > and it is shown that there is no arithmetic progression of four squares in
> > http://www.math.uconn.edu/~kconrad/blurbs/ugradnumthy/4squarearithprog.pdf
> > (I saw these papers while reading this question:
> > http://mathoverflow.net/questions/78949/arithmetic-progressions-of-squares
> > )
> > It would be nice if someone could list these triples (ideally(?):
> > smallest, middle, largest elements, common differences, corresponding
> > smallest, middle, largest arguments; and the same restricting to
> > triples which are not multiples of smaller ones).
> > Benoit
> > PS: I'm sorry this email sounds a bit like "please do that for me",
> > but (1) I really don't have time right now (2) it would take me much
> > more time to write a program to list and order them than most people
> > here (3) at least now the request is written somewhere, and if no one
> > finds time for it, I might do it next semester when I have more time.
> > So I thought it was still better to write this email than do nothing.
> > _______________________________________________
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