Enumeration of the Partitions of an Integer into Parts of a Specified Number of Different Sizes and Especially Two Sizes

Nesrine Benyahia Tani

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Enumeration of the Partitions of an Integer into Parts of a Specified Number of Different Sizes and Especially Two Sizes

机译：将整数的分区枚举为指定数量的不同大小（尤其是两个大小）的部分

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A partition of a non-negative integer n is a way of writing n as a sum of a nondecreasing sequence of parts. The present paper provides the number of partitions of an integer n into parts of a specified number of different sizes. We establish new formulas for such partitions with particular interest to the number of partitions of $n$ into parts of two sizes. A geometric application is given at the end of this paper.

机译：非负整数n的分区是将n表示为部分的非递减序列之和的方式。本文提供了整数n划分为指定数量的不同大小的部分的数量。我们为此类分区建立了新的公式，特别关注将$ n $划分为两个大小的部分的数量。本文的结尾给出了几何应用。

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《Journal of Integer Sequences》 |2011年第4期|共页
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Nesrine Benyahia Tani;
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中图分类数学;
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1. Enumerating partitions with given part-sizes [J] . H. G. Yeh, S. C. Liaw, F. K. Hwang, Bulletin of the Institute of Mathematics, Academia Sinica . 1998,第1期

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2. Sampling part sizes of random integer partitions [J] . Mutafchiev Ljuben The Ramanujan journal . 2015,第2期

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3. Partitioning schemes and non-integer box sizes for the box-counting algorithm in multifractal analysis [J] . Stefanie Thiem, Michael Schreiber The European physical journal, B. Condensed matter physics . 2013,第2期

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4. Faster Algorithms for Tree Similarity Based on Compressed Enumeration of Bounded-Sized Ordered Subtrees [C] . Kunihiro Wasa, Kouichi Hirata, Takeaki Uno, International conference on similarity search and applications . 2013

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6. Effect size and cost-effectiveness estimates of breast and cervical cancer screening reminders by population size through complete enumeration of Japanese local municipalities [O] . Shigekazu Komoto, Yuji Nishiwaki, Tomonori Okamura, 2014

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7. Sampling Part Sizes of Random Integer Partitions [O] . Ljuben Mutafchiev 2016

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Enumeration of the Partitions of an Integer into Parts of a Specified Number of Different Sizes and Especially Two Sizes

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