Show that for any , , different integers:

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- Apr 12th 2011, 06:28 AMjames_bondShow that it is an integer
Show that for any , , different integers:

- Apr 13th 2011, 01:22 AMOpalg
I don't see a neat way to do this. The only method that I could find is to put it over a common denominator, to get

Then doing row and column operations on the determinant I found that it is equal to , where the sum is taken over all triples (i,j,k) of nonnegative integers such that