[seqfan] sum floor(n/(m+k)) = n
Leroy Quet
q1qq2qqq3qqqq at yahoo.com
Sun Oct 26 17:52:45 CET 2008
Consider sequence A145265.
A145265: A positive integer n is included if there exists a positive integer m such that sum{k>=0} floor(n/(m+k)) = n.
Does A145265 contain all those positive integers that are congruent to
0, 1, 4, 5, 8, 15 (mod 18), and no other positive integers?
This might be easily proved. Still, I think this might be an interesting question.
Thanks,
Leroy Quet
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