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• W2044637910 abstract "Using Riordan arrays, we introduce a generalized Delannoy matrix by weighted Delannoy numbers. It turns out that Delannoy matrix, Pascal matrix, and Fibonacci matrix are all special cases of the generalized Delannoy matrices, meanwhile Schröder matrix and Catalan matrix also arise in involving inverses of the generalized Delannoy matrices. These connections are the focus of our paper. The half of generalized Delannoy matrix is also considered. In addition, we obtain a combinatorial interpretation for the generalized Fibonacci numbers." @default.
• W2044637910 created "2016-06-24" @default.
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• W2044637910 date "2013-12-01" @default.
• W2044637910 modified "2023-09-30" @default.
• W2044637910 title "Schröder matrix as inverse of Delannoy matrix" @default.
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• W2044637910 doi "https://doi.org/10.1016/j.laa.2013.09.044" @default.
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