most citedA human proof for a generalization of Shalosh B. Ekhad's 10^n Lattice Paths Theorem

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math.CO2005★ 2 cited

A human proof for a generalization of Shalosh B. Ekhad's 10^n Lattice Paths Theorem

Nicholas A. Loehr, Bruce E. Sagan, Gregory S. Warrington

Consider lattice paths in Z^2 taking unit steps north (N) and east (E). Fix positive integers r,s and put an equivalence relation on points of Z^2 by letting v,w be equivalent if v…

math.CO2003★ 1 cited

The combinatorics of a three-line circulant determinant

Nicholas A. Loehr, Gregory S. Warrington, Herbert S. Wilf

We study the determinant of the pxp circulant matrix whose first row is (1,-x,0,...,0,-y,0,...,0), the -y being in position q+1. The coefficients of this polynomial are integers th…