Geodesic
A recursive relation for weighted Motzkin sequences
Journal of integer sequences, Tome 8 (2005) no. 1.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We consider those lattice paths that use the steps Up,Level, and Down with assigned weights w,u, and v. In probability theory, the total weight is 1. In combinatorics, we regard weight as the number of colors and normalize by setting w=1. The lattice paths generate Motzkin sequences. Here we give a combinatorial proof of a three-term recursion for a weighted Motzkin sequence and we find the radius of convergence.
Classification : 05A15, 05A19
Mots-clés : Motzkin paths, combinatorial identity 
@article{JIS_2005__8_1_a5,
     author = {Woan, Wen-jin},
     title = {A recursive relation for weighted {Motzkin} sequences},
     journal = {Journal of integer sequences},
     publisher = {mathdoc},
     volume = {8},
     number = {1},
     year = {2005},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/item/JIS_2005__8_1_a5/}
}
TY  - JOUR
AU  - Woan, Wen-jin
TI  - A recursive relation for weighted Motzkin sequences
JO  - Journal of integer sequences
PY  - 2005
VL  - 8
IS  - 1
PB  - mathdoc
UR  - https://geodesic-test.mathdoc.fr/item/JIS_2005__8_1_a5/
LA  - en
ID  - JIS_2005__8_1_a5
ER  - 
%0 Journal Article
%A Woan, Wen-jin
%T A recursive relation for weighted Motzkin sequences
%J Journal of integer sequences
%D 2005
%V 8
%N 1
%I mathdoc
%U https://geodesic-test.mathdoc.fr/item/JIS_2005__8_1_a5/
%G en
%F JIS_2005__8_1_a5
Woan, Wen-jin. A recursive relation for weighted Motzkin sequences. Journal of integer sequences, Tome 8 (2005) no. 1. https://geodesic-test.mathdoc.fr/item/JIS_2005__8_1_a5/