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Math Help - Counting lattice points.

  1. #1
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    Counting lattice points.

    Let n be a positive integer, and R be the region defined by the simultaneous conditions x-y< n , x+y < n and x > 0. In terms of n
    how many lattice points are contained in R?

    If I didn't misunderstand the question I got 0 points for n=1 , 1 for n=2, 4 for n=3, 9 for n=4 . 16 for n=5.

    How do I write this in terms of n?

    Vicky.
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  2. #2
    Super Member Matt Westwood's Avatar
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    How about: \left({n-1}\right)^2?

    Should be straightforward to prove it.
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  3. #3
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    Thank You!!!!!!
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