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Bounding quantities related to the packing density of 1(L+1)L...2

Martin Hildebrand, Bruce E. Sagan, Vincent Vatter

备注：
20 pages, 1 figure, Latex, to be published in Advances in Applied Math., see related papers at http://www.math.msu.edu/~sagan
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英文摘要：

We bound several quantities related to the packing density of the patterns 1(L+1)L...2. These bounds sharpen results of Bóna, 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.

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