[seqfan] Arithmetic progressions of squares
Benoît Jubin
benoit.jubin at gmail.com
Mon Oct 24 09:40:57 CEST 2011
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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