IMO 2021 Shortlist A2
Forevery integern ě1 consider the nˆn tablewithentry Z ij n 1 ^ atthe intersection of row i and column j, for every i “1...
Category: Algebra
Problem
Forevery integern ě1 consider the nˆn tablewithentry Z ij n `1 ^ atthe intersection of row i and column j, for every i “1,...,n and j “1,...,n. Determine all integers n ě1 for which the sum of the n2 entries in the table is equal to 1 n2 pn ´1q.