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http://dx.doi.org/10.4134/BKMS.b151039

THREE DIFFERENT WAYS TO OBTAIN THE VALUES OF HYPER m-ARY PARTITION FUNCTIONS  

Eom, Jiae (Department of Mathematics Yonsei University)
Jeong, Gyeonga (Department of Mathematics Yonsei University)
Sohn, Jaebum (Department of Mathematics Yonsei University)
Publication Information
Bulletin of the Korean Mathematical Society / v.53, no.6, 2016 , pp. 1857-1868 More about this Journal
Abstract
We consider a natural generalization of $h_2(n)$, denoted $h_m(n)$, which is the number of partitions of n into parts which are power of $m{\geq}2$ wherein each power of m is allowed to be used as a part at most m times. In this note, we approach in three different ways using the recurrences, the matrix and the tree to calculate the value of $h_m(n)$.
Keywords
hyper m-ary partition function; hyper m-ary tree;
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