Bounding quantities related to the packing density of 1(L+1)L...2
  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. 
Martin Hildebrand (SUNY Albany), Bruce E. Sagan (Michigan State U.),   Vincent Vatter (Rutgers)