Result: Some bijective results about the area of Schröder paths

Title:
Some bijective results about the area of Schröder paths
Source:
Random generation of combinatorial objects and bijective combinatoricsTheoretical computer science. 307(2):327-335
Publisher Information:
Amsterdam: Elsevier, 2003.
Publication Year:
2003
Physical Description:
print, 9 ref
Original Material:
INIST-CNRS
Time:
1995
Document Type:
Conference Conference Paper
File Description:
text
Language:
English
Author Affiliations:
Dipartimento di Matematica U. Dini, Viale Morgagni 671A, 50134 Firenze, Italy
Dipartimento di Sistemi e Informatica, via Lombroso 6117, 50134 Firenze, Italy
Dipartimento di Matematica R. Magari, via del Capitano 15, 53100 Siena, Italy
ISSN:
0304-3975
Rights:
Copyright 2004 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Mathematics
Accession Number:
edscal.15176387
Database:
PASCAL Archive

Further Information

In the existing literature there are many combinatorial interpretations for the sequence (ai)i≥1 = 1, 3, 7, 17, 41,... (M2665 in The Encyclopedia of Integer Sequences, Academic Press, New York, 1995), and at least one for the subsequence of its odd-indexed terms, i.e. 1,7,41,239,..., using the area under elevated Schröder paths. We provide a combinatorial interpretation for the subsequence given by the remaining terms 3,17,99,..., also in this case by using the area under Schröder paths.