Geodesic
The number of [old-time] basketball games with final score \(n\):\(n\) where the home team was never losing but also never ahead by more than \(w\) points
The electronic journal of combinatorics, Tome 14 (2007)
Cet article a éte moissonné depuis la source The Electronic Journal of Combinatorics website

Voir la notice de l'article

We show that the generating function (in $n$) for the number of walks on the square lattice with steps $(1,1), (1,-1), (2,2)$ and $(2,-2)$ from $(0,0)$ to $(2n,0)$ in the region $0 \leq y \leq w$ satisfies a very special fifth order nonlinear recurrence relation in $w$ that implies both its numerator and denominator satisfy a linear recurrence relation.
DOI : 10.37236/937
Classification : 05A15
Mots-clés : generating function, linear recurrence relation 
@article{10_37236_937,
     author = {Arvind Ayyer and Doron Zeilberger},
     title = {The number of [old-time] basketball games with final score \(n\):\(n\) where the home team was never losing but also never ahead by more than \(w\) points},
     journal = {The electronic journal of combinatorics},
     year = {2007},
     volume = {14},
     doi = {10.37236/937},
     zbl = {1110.05006},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/937/}
}
TY  - JOUR
AU  - Arvind Ayyer
AU  - Doron Zeilberger
TI  - The number of [old-time] basketball games with final score \(n\):\(n\) where the home team was never losing but also never ahead by more than \(w\) points
JO  - The electronic journal of combinatorics
PY  - 2007
VL  - 14
UR  - http://geodesic.mathdoc.fr/articles/10.37236/937/
DO  - 10.37236/937
ID  - 10_37236_937
ER  - 
%0 Journal Article
%A Arvind Ayyer
%A Doron Zeilberger
%T The number of [old-time] basketball games with final score \(n\):\(n\) where the home team was never losing but also never ahead by more than \(w\) points
%J The electronic journal of combinatorics
%D 2007
%V 14
%U http://geodesic.mathdoc.fr/articles/10.37236/937/
%R 10.37236/937
%F 10_37236_937
Arvind Ayyer; Doron Zeilberger. The number of [old-time] basketball games with final score \(n\):\(n\) where the home team was never losing but also never ahead by more than \(w\) points. The electronic journal of combinatorics, Tome 14 (2007). doi: 10.37236/937

Cité par Sources :