There are infinitely many ordered pairs (m,n)
of positive integers for which
m + (m+1) + (m+2) + ... (n-1) + n = mn.
List the first five pairs ordered by values of m.
(In reply to computer solution -- first eight pairs
That's about as far as I got: searching quadratic formulas for m that give and integer.
m is given by https://oeis.org/A011900
n is given by https://oeis.org/A001109
each note a recursion relation. I'm trying to prove it.
Posted by Jer
on 2015-12-04 12:50:00