Generating trees and the Catalan and Schro¨der numbers
Discrete Mathematics
Generating functions for generating trees
Discrete Mathematics
Enumeration schemes for restricted permutations
Combinatorics, Probability and Computing
Restricted k-ary words and functional equations
Discrete Applied Mathematics
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The method we have applied in [4] to count pattern avoiding permutations is adapted to words. As an application, we enumerate several classes of words simultaneously avoiding two generalized patterns of length 3.