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- W2103646894 abstract "We find a generating function expressed as a continued fraction that enumerates ordered trees by the number of vertices at different levels. Several Catalan problems are mapped to an ordered-tree problem and their generating functions also expressed as a continued fraction. Among these problems is the enumeration of $(132)$-pattern avoiding permutations that have a given number of increasing patterns of length $k$. This extends and illuminates a result of Robertson, Wilf and Zeilberger for the case $k=3$." @default.
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- W2103646894 date "2000-07-13" @default.
- W2103646894 modified "2023-09-27" @default.
- W2103646894 title "Continued Fractions and Catalan Problems" @default.
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- W2103646894 doi "https://doi.org/10.37236/1523" @default.
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