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A Formula for the Stirling Numbers of the Second Kind
The American Mathematical Monthly ( IF 0.4 ) Pub Date : 2020-09-13 , DOI: 10.1080/00029890.2020.1793637
Gao-Wen Xi 1
Affiliation  

The Stirling number of the second kind S(n, k) is the number of partitions of {1,2,…,n} into k parts and is given by the following explicit formula: (1) S(n,k)=1k!∑j=0k(−1)k−j(kj)jn. Below we state...

中文翻译:

第二类斯特林数的公式

第二类斯特林数 S(n, k) 是将 {1,2,…,n} 划分为 k 部分的数量,由以下明确公式给出: (1) S(n,k)= 1k!∑j=0k(−1)k−j(kj)jn。下面我们声明...
更新日期:2020-09-13
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