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
| dc.creator | Ayyer, Arvind | |
| dc.creator | Zeilberger, Doron | |
| dc.date | 2006-10-24 | |
| dc.date | 2007-03-01 | |
| dc.date.accessioned | 2026-07-07T07:49:21Z | |
| dc.date.available | 2026-07-07T07:49:21Z | |
| dc.description | 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 <= y <= w satisfies a very special fifth order nonlinear recurrence relation in w that implies both its numerator and denominator satisfy a linear recurrence relation. | |
| dc.description | 8 pages, no figures. Minor typos in equations for P_4, AZ_3 in Theorem 3, (38) and (39) corrected thanks to Pierre Lalonde | |
| dc.identifier | https://arxiv.org/abs/math/0610734 | |
| dc.identifier | http://arxiv.org/abs/math/0610734 | |
| dc.identifier | Electronic J. of Combinatorics 14(1) (2007), R19 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/124816 | |
| dc.subject | Combinatorics | |
| dc.subject | 05A15 | |
| dc.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 | |
| dc.type | text |