Geodesic
Extending a recent result on hyper \(m\)-ary partition sequences
Journal of integer sequences, Tome 20 (2017) no. 6
A hyper $m$-ary partition of an integer $n$ is defined to be a partition of $n$ where each part is a power of $m$ and each distinct power of $m$ occurs at most $m$ times. Let $h_{m}(n)$ denote the number of hyper $m$-ary partitions of $n$ and consider the resulting sequence. We show that the hyper $m_{1}$-ary partition sequence is a subsequence of the hyper $m_{2}$-ary partition sequence, for $2 \le m_{1} \le m_{2}$.
Classification : 05A17
Keywords: integer partition, hyper m-ary partition 
@article{JIS_2017__20_6_a7,
     author = {Flowers,  Timothy B. and Lockard,  Shannon R.},
     title = {Extending a recent result on hyper \(m\)-ary partition sequences},
     journal = {Journal of integer sequences},
     year = {2017},
     volume = {20},
     number = {6},
     zbl = {1365.05021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2017__20_6_a7/}
}
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Flowers,  Timothy B.; Lockard,  Shannon R. Extending a recent result on hyper \(m\)-ary partition sequences. Journal of integer sequences, Tome 20 (2017) no. 6. http://geodesic.mathdoc.fr/item/JIS_2017__20_6_a7/