Article ID Journal Published Year Pages File Type
4647085 Discrete Mathematics 2015 6 Pages PDF
Abstract

Let ped(n)ped(n) denote the number of partitions of nn wherein even parts are distinct (and odd parts are unrestricted). We show infinite families of congruences for ped(n)ped(n) modulo 88. We also examine the behavior of ped−2(n)ped−2(n) modulo 88 in detail where ped−2(n)ped−2(n) denotes the number of bipartitions of nn with even parts distinct. As a result, we find infinite families of congruences for ped−2(n)ped−2(n) modulo 88.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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