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Carréphylic classes
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Carréphylic classes
n^2-2
n^2-1
n^2+1
n^2+2
n^2+n
n^2-n/2 (for even n)
n^2+n/2 (for even n)
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Certain classses of numbers are inherently carréphylic. Here are the five that come with every square and two more that come with even squares:
n2-2n2-1n2+1n2+2n2+n-n2-n/2n2+n/2

They show convincingly that members of the same class have a similar approach profile.

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