Production matrices (Q1775729)
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scientific article; zbMATH DE number 2164932
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Production matrices |
scientific article; zbMATH DE number 2164932 |
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Production matrices (English)
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4 May 2005
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Succession rules have been suggested as a way to generate combinatorial objects of a certain description. This paper studies two types of matrices that can be associated with a succession rule, the production matrix and the ECO (= Enumeration of Combinatorial Objects) matrix. These matrices are intimately connected to the generating functions of the sequences enumerating the combinatorial objects.
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succession rule
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generating tree
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production matrix
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transfer matrix
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generating function
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Fibonacci numbers
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Catalan numbers
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Schröder numbers
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Motzkin numbers
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