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MAGIC SQUARES OF PERFECT SQUARES AND PELL NUMBERS
Keywords:
magic square, Pell numbersDOI:
https://doi.org/10.17654/0972555524032Abstract
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.
Received: September 2, 2024
Revised: September 20, 2024
Accepted: October 10, 2024
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