Mathematics – Combinatorics
Scientific paper
2002-03-04
Mathematics
Combinatorics
This article is dedicated to the memory of Rodica Simion
Scientific paper
Define $S_n^k(\alpha)$ to be the set of permutations of $\{1,2,...,n\}$ with exactly $k$ fixed points which avoid the pattern $\alpha \in S_m$. Let $s_n^k(\alpha)$ be the size of $S_n^k(\alpha)$. We investigate $S_n^0(\alpha)$ for all $\alpha \in S_3$ as well as show that $s_n^k(132)=s_n^k(213)=s_n^k(321)$ and $s_n^k(231)=s_n^k(312)$ for all $0 \leq k \leq n$.
Robertson Aaron
Saracino Dan
Zeilberger Doron
No associations
LandOfFree
Refined Restricted Permutations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Refined Restricted Permutations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Refined Restricted Permutations will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-76109