{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:44:02Z","timestamp":1753893842565,"version":"3.41.2"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>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.<\/jats:p>","DOI":"10.37236\/937","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T04:51:51Z","timestamp":1578718311000},"source":"Crossref","is-referenced-by-count":3,"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"],"prefix":"10.37236","volume":"14","author":[{"given":"Arvind","family":"Ayyer","sequence":"first","affiliation":[]},{"given":"Doron","family":"Zeilberger","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2007,1,29]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v14i1r19\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v14i1r19\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,18]],"date-time":"2020-01-18T04:04:32Z","timestamp":1579320272000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v14i1r19"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,1,29]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2007,1,3]]}},"URL":"https:\/\/doi.org\/10.37236\/937","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2007,1,29]]},"article-number":"R19"}}