Parity theorems for statistics on lattice paths and Laguerre configurations
J. Integer Seq. 8(5), Article 05.5.1, 13 p., electronic only (2005)
Summary
Summary: We examine the parity of some statistics on lattice paths and Laguerre configurations, giving both algebraic and combinatorial treatments. For the former, we evaluate $q$-generating functions at $q =-1$; for the latter, we define appropriate parity-changing involutions on the associated structures. In addition, we furnish combinatorial proofs for a couple of related recurrences.
