Automatic counting of tilings of skinny plane regions (Q2875862)
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scientific article; zbMATH DE number 6329369
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Automatic counting of tilings of skinny plane regions |
scientific article; zbMATH DE number 6329369 |
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Automatic counting of tilings of skinny plane regions (English)
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12 August 2014
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tilings
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counting
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plane regions
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Maple packages
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\(C\)-finite sequences
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domino tilings
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holey rectangle
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cross
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The paper deals with counting the number of tilings of some plane regions. The authors were inspired by a problem proposed by D. Knuth. The results are proved by an inductive method using \(C\)-finite sequences.NEWLINENEWLINEThe article is accompanied with Maple packages. In particular, they count the number of domino tilings of a rectangle, of a holey rectangle, of a cross.NEWLINENEWLINEFor the entire collection see [Zbl 1286.05002].
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