Ramanujan grammar and Cayley trees (Q1918894)
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scientific article; zbMATH DE number 907656
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Ramanujan grammar and Cayley trees |
scientific article; zbMATH DE number 907656 |
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Ramanujan grammar and Cayley trees (English)
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21 July 1996
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Summary: We study three sequences of polynomials defined as successive derivatives with respect to a differential operator associated with a grammar (one of these sequences was originally introduced by Ramanujan). Combinatorial interpretations for these polynomials are found in terms of rooted trees and graphs of mappings from \([n]\) to \([n]\).
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Ramanujan grammar
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Cayley trees
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sequences of polynomials
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differential operator
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grammar
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rooted trees
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graphs of mappings
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0.87115014
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0.8664462
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0.8464707
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0.84454674
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0.83901525
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0.8386639
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0.83458096
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