[seqfan] Re: Splitting the square into equal parts

[Elijah Beregovsky]

Could you elaborate on the procedure you're investigating?
If I understood you correctly, you're counting partitions of a square into
rectangles of equal area (you cannot end up with any other shapes if you
disallow "hanging" edges, ends of which do not lie on existing line
segments). It is a nice problem and it already has a sequence in OEIS -
https://oeis.org/A108066. However, its terms do not equal yours. A closely
related sequence https://oeis.org/A189243 treats symmetrical solutions as
different. But it also does not have the same terms as your sequences. Have
I misunderstood your idea?
Best wishes,
Elijah Beregovsky