1Department of Mathematics. University of South Carolina 2The Citadel the Military College of South Carolina 3Department of Mathematics, Computer Science and Information Systems. California University
The electronic journal of combinatorics, Tome 22 (2015) no. 1
We construct a formal power series on several variables that encodes many statistics on non-decreasing Dyck paths. In particular, we use this formal power series to count peaks, pyramid weights, and indexed sums of pyramid weights for all non-decreasing Dyck paths of length $2n.$ We also show that an indexed sum on pyramid weights depends only on the size and maximum element of the indexing set.
1
Department of Mathematics. University of South Carolina
2
The Citadel the Military College of South Carolina
3
Department of Mathematics, Computer Science and Information Systems. California University
@article{10_37236_3941,
author = {\'Eva Czabarka and Rigoberto Fl\'orez and Leandro Junes},
title = {Some enumerations on non-decreasing {Dyck} paths},
journal = {The electronic journal of combinatorics},
year = {2015},
volume = {22},
number = {1},
doi = {10.37236/3941},
zbl = {1305.05009},
url = {http://geodesic.mathdoc.fr/articles/10.37236/3941/}
}
TY - JOUR
AU - Éva Czabarka
AU - Rigoberto Flórez
AU - Leandro Junes
TI - Some enumerations on non-decreasing Dyck paths
JO - The electronic journal of combinatorics
PY - 2015
VL - 22
IS - 1
UR - http://geodesic.mathdoc.fr/articles/10.37236/3941/
DO - 10.37236/3941
ID - 10_37236_3941
ER -
%0 Journal Article
%A Éva Czabarka
%A Rigoberto Flórez
%A Leandro Junes
%T Some enumerations on non-decreasing Dyck paths
%J The electronic journal of combinatorics
%D 2015
%V 22
%N 1
%U http://geodesic.mathdoc.fr/articles/10.37236/3941/
%R 10.37236/3941
%F 10_37236_3941
Éva Czabarka; Rigoberto Flórez; Leandro Junes. Some enumerations on non-decreasing Dyck paths. The electronic journal of combinatorics, Tome 22 (2015) no. 1. doi: 10.37236/3941
