Number of binomial coefficients divided by a fixed power of a prime

Details Number of binomial coefficients divided by a fixed power of a prime Number of binomial coefficients divided by a fixed power of a prime

2007-10-08

arxiv.org/abs/0710.1468v1

Mathematics

General Mathematics

2 pages

Scientific paper

We state a general formula for the number of binomial coefficients $n$ choose
$k$ that are divided by a fixed power of a prime $p$, i.e., the number of
binomial coefficients divided by $p^j$ and not divided by $p^{j+1}$.

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