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Refined Restricted Permutations
Aaron Robertson1, Dan Saracino1, and Doron Zeilberger2
1Department of Mathematics, Colgate University, Hamilton, NY 13346, USA
aaron@math.colgate.edu, dsaracino@mail.colgate.edu
2Department of Mathematics, Rutgers University, New Brunswick, NJ 08903, USA
zeilberg@math.rutgers.edu
Annals of Combinatorics 6 (3) p.427-444 September, 2002
AMS Subject Classification: 05A15, 68R15
Abstract:
Define to be the set of permutations of with exactly k fixed points which avoid the pattern . Let be the size of . We investigate for all as well as show that and .
Keywords: restricted permutations, Fine's sequence, Dyck paths

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