Some Combinatorial Arrays Related to the Lotka-Volterra System
Keywords: Lotka-Volterra system, Context-free grammars, Eulerian numbers, Cyclically ordered partitions
AbstractThe purpose of this paper is to investigate several context-free grammars suggested by the Lotka-Volterra system. Some combinatorial arrays, involving the Stirling numbers of the second kind and Eulerian numbers, are generated by these context-free grammars. In particular, we present grammatical characterization of some statistics on cyclically ordered partitions.