MAGIC SQUARES OF PERFECT SQUARES AND PELL NUMBERS
Daniel Coumbe · JP Journal of Algebra Number Theory and Applications · 2024
Order three magic squares of distinct squared integers are studied. We show that such a magic square is not possible if the smallest entry is the square of a prime number, or unity. A method for generating all arithmetic progressions of three squared integers whose smallest term is the square of a prime or unity is presented via a set of linear transformation matrices involving the Pell numbers.