{ "id": "math/0405512", "version": "v1", "published": "2004-05-26T21:58:29.000Z", "updated": "2004-05-26T21:58:29.000Z", "title": "Bounding quantities related to the packing density of 1(L+1)L...2", "authors": [ "Martin Hildebrand", "Bruce E. Sagan", "Vincent Vatter" ], "comment": "20 pages, 1 figure, Latex, to be published in Advances in Applied Math., see related papers at http://www.math.msu.edu/~sagan", "categories": [ "math.CO" ], "abstract": "We bound several quantities related to the packing density of the patterns 1(L+1)L...2. These bounds sharpen results of B\\'ona, Sagan, and Vatter and give a new proof of the packing density of these patterns, originally computed by Stromquist in the case L=2 and by Price for larger L. We end with comments and conjectures.", "revisions": [ { "version": "v1", "updated": "2004-05-26T21:58:29.000Z" } ], "analyses": { "subjects": [ "05A20", "05E99" ], "keywords": [ "packing density", "bounding quantities", "bounds sharpen results", "stromquist" ], "note": { "typesetting": "LaTeX", "pages": 20, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2004math......5512H" } } }