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- W2886508744 abstract "We study generalized Catalan matrices based on the Riordan array and Fuss–Catalan numbers. A unified combinatorial interpretation for the entries of the generalized Catalan matrices is presented by means of m -Dyck paths. Some properties and examples of the generalized Catalan matrices are given including a new convolution formula for the generalized Catalan numbers. Finally, we present applications of generalized Catalan matrices to the problems in counting the hill-free and lower peak-free m -Dyck paths." @default.
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- W2886508744 date "2018-12-01" @default.
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- W2886508744 title "A unified approach for the Catalan matrices by using Riordan arrays" @default.
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- W2886508744 doi "https://doi.org/10.1016/j.laa.2018.07.037" @default.
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