{ "id": "1212.4105", "version": "v1", "published": "2012-12-17T19:15:04.000Z", "updated": "2012-12-17T19:15:04.000Z", "title": "Automated Counting of Towers (À La Bordelaise) [Or: Footnote to p. 81 of the Flajolet-Sedgewick Chef-d'œvre]", "authors": [ "Shalosh B. Ekhad", "Doron Zeilberger" ], "comment": "Accompanied by the Maple package TOWERS available from http://www.math.rutgers.edu/~zeilberg/mamarim/mamarimhtml/migdal.html . That page also has many deep computer-generated theorem obtained from the package", "categories": [ "math.CO" ], "abstract": "The brilliant idea of Jean Betrema and Jean-Guy Penaud that proved the celebrated \"three to the power n\" theorem of Dominique Gouyou-Beauchamps and Xavier Viennot, counting towers of domino pieces is extended and used to enumerate much more general towers, where the pieces can be many i-mers.", "revisions": [ { "version": "v1", "updated": "2012-12-17T19:15:04.000Z" } ], "analyses": { "keywords": [ "flajolet-sedgewick chef-d", "automated counting", "bordelaise", "brilliant idea", "jean betrema" ], "tags": [ "research tool" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1212.4105E" } } }