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A Formula for the Stirling Numbers of the Second Kind
- Source :
- The American Mathematical Monthly. 127:762-762
- Publication Year :
- 2020
- Publisher :
- Informa UK Limited, 2020.
-
Abstract
- 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...
Details
- ISSN :
- 19300972 and 00029890
- Volume :
- 127
- Database :
- OpenAIRE
- Journal :
- The American Mathematical Monthly
- Accession number :
- edsair.doi...........50b48ffe39309a507ca41dff0cf0e578