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MathNet 1990 — Part 01 Question 10

Math Olympiad Vault · MathNet 1990 — Part 01

Question 10

The squares of a squared paper are enumerated as follows:
Question illustration
Devise a polynomial $p(m, n)$ of two variables $m, n$ such that for any positive integers $m$ and $n$ the number written in the square with coordinates $(m, n)$ will be equal to $p(m, n)$.