Proof of the Sum of Square Numbers

In the first part of this series, we have counted  the number of squares on a chessboard, and we have discovered that it is equal to the sum of the squares of the first 8 positive integers. The numbers , , and so on are called  square numbers. This method can be generalized to compute […]
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Counting the Number of Squares on a Chess Board

Chess is one good source of mathematical problems and puzzles.  In this post, we discuss one of the most basic problems in chess:  Counting the number of squares on the chessboard. How many squares are there in a standard chessboard measuring 8 by 8 units?
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