By Shane Chern

For each nonempty integer partition *\pi*, we define the maximal excludant of *\pi* to be the largest nonnegative integer smaller than the largest part of *\pi* that is not a part of *\pi*. Let *\sigma\!\operatorname{maex}(n)* be the sum of maximal excludants over all partitions of *n*. We show that the... Show more

May 15, 2019

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Partitions and the maximal excludant

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