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math.CO2009★ 4 cited
The Riordan Group and Symmetric Lattice Paths
Li-Hua Deng, Eva Y. P. Deng, Louis W. Shapiro
In this paper, we study symmetric lattice paths. Let , , and denote the number of symmetric Dyck paths, symmetric Motzkin paths, and symmetric Schröder paths…
math.CO2008
Symmetric Schroder paths and restricted involutions
Eva Y. P. Deng, Mark Dukes, Toufik Mansour +1
Let be the set of permutations in the symmetric group with prefix 12. This paper concerns the enumeration of involutions which avoid the set of patterns . We prese…