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Math Help - squares in the Plane

  1. #1
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    squares in the Plane

    Hi,
    There is a problem. I have some idea about it but not sure if it is correct.

    Problem:
    In the cartesian plane, consider the set of points
    A={(i,j)|0<or=i,j<or=40, with i and j integers}
    How many squares can be formed so that all corners of all squares belong to A, with sides parallel to the x and y axes?
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  2. #2
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    Quote Originally Posted by spred View Post
    Problem:
    In the cartesian plane, consider the set of points
    A={(i,j)|0<or=i,j<or=40, with i and j integers}
    How many squares can be formed so that all corners of all squares belong to A, with sides parallel to the x and y axes?
    Do you know about the sum of squares?
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  3. #3
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    No. I do not know the sum.
    Thank you for your response
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