Geodesic
Ramanujan grammar and Cayley trees
The electronic journal of combinatorics, The Foata Festschrift volume, Tome 3 (1996) no. 2
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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 $[n]$.
DOI : 10.37236/1275
Classification : 05A99, 05C05, 68R10, 05E99
Mots-clés : Ramanujan grammar, Cayley trees, sequences of polynomials, differential operator, grammar, rooted trees, graphs of mappings 
@article{10_37236_1275,
     author = {Dominique Dumont and Armand Ramamonjisoa},
     title = {Ramanujan grammar and {Cayley} trees},
     journal = {The electronic journal of combinatorics},
     year = {1996},
     volume = {3},
     number = {2},
     doi = {10.37236/1275},
     zbl = {0852.05018},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1275/}
}
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Dominique Dumont; Armand Ramamonjisoa. Ramanujan grammar and Cayley trees. The electronic journal of combinatorics, The Foata Festschrift volume, Tome 3 (1996) no. 2. doi: 10.37236/1275

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