q-Fibonacci Sequences, Bipartite Numbers and Lattice Paths

Número: 
34
Ano: 
2001
Autor: 
José Plínio O. Santos
Paulo Mondek
Abstract: 

We examine a pair of Rogers-Ramanujan type identities given in Slater[7] and give polynomial families from which the original identities can be obtained. The polynomial families term out to be q-analogs of the Fibonacci sequence. Finally we provide combinatorial interpretations for the identities.

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