a1 Department of Information and Computing Science, Northeastern University at Qinhuangdao, Qinhuangdao, Hebei 066004, PR China (email: firstname.lastname@example.org)
In this paper we present a combinatorial proof of an identity involving the two kinds of Stirling numbers and the numbers of permutations with prescribed numbers of excedances and cycles. Several recurrence relations related to the numbers of excedances, fixed points and cycles are also obtained.
(Received June 09 2011)
2010 Mathematics subject classification
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This work was supported by the Fundamental Research Funds for the Central Universities (N100323013).