Tuymaada 2022
Source: Tuymaada 2022 Senior P-7
September 12, 2022
combinatoricstielsdominorectangle
Problem Statement
A rectangle is partitioned into tiles, each of the tile being either a separate square or a broken domino consisting of two such squares separated by four squares (not belonging to the domino). Prove that the number of such partitions is a perfect fifth power.
(K. Kokhas)