论文标题
关于自然数的组成
On compositions of natural numbers
论文作者
论文摘要
在此说明中,我们向读者介绍了自然数字的组成,例如$ 2+1+1+2+1+1+7+1 $是14的组成,而$ 1+2 $和$ 2+1 $是3个不同的组成。我们讨论了一些简单的限制形式的组成形式,例如,$ 23+17+17+17+33 $ 33 $是一份构图,是73件构成,三分之二的零件。我们得出了计算自然数量$ n $组成形式的限制形式的数量的公式,并以对该主题的简短讨论得出结论。
In this expository note, we introduce the reader to compositions of a natural number, e.g., $2+1+2+1+7+1$ is a composition of 14, and $1+2$ and $2+1$ are two different compositions of 3. We discuss some simple restricted forms of compositions, e.g., $23+17+33$ is a composition of 73 into three odd parts. We derive formulas that count the number of so restricted forms of compositions of a natural number $n$, and we conclude with a brief general discussion of the topic.