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Grammaire de Ramanujan et Arbres de Cayley

Dominique Dumont, Armand Ramamonjisoa

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Source: Crossref

Published: Jul 25, 1995

DOI: 10.37236/1275

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Source abstract

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][n] to [n][n].

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