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25 April 2024
 
  » arxiv » 1601.6505

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The peak statistics on simsun permutations
Shi-Mei Ma ; Yeong-Nan Yeh ;
Date 25 Jan 2016
AbstractIn this paper, we study the relationship among left peaks, interior peaks and up-down runs of simsun permutations. Properties of the generating polynomials, including the recurrence relation, generating function and real-rootedness are studied. Moreover, we give a constructive proof of a connection between the number of simsun permutations of length n with k descents and the number of permutations of {1,2,...,n+1} with k interior peaks.
Source arXiv, 1601.6505
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