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Number of Laurent monomials of n variables with degree at most d

One such formula is $$\sum_{p=0}^n \binom{n}{p} \binom{d}{p} \binom{d+n-p}{n-p}.$$ To derive this, let $P \subseteq [n]$ be the set of variables with positive exponents and let $p = |P|$. There are $\ …
David E Speyer's user avatar