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

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

2004-05-26

arxiv.org/abs/math/0405512v1

Mathematics

Combinatorics

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

Scientific paper

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.

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