Polynomial Generalizations of the Pell sequence and the Fibonacci sequence

نویسندگان

  • Jose Plinio O. Santos
  • Milos Ivkovic
چکیده

We provide three new polynomial generalizations for the Pell sequence an, also, new formulas for this sequence. An interesting relation, in terms of partitions, between the Pell and the Fibonacci sequences is given, Finally two combinatorial interpretations for the Fibonacci numbers are given by making use of the Rogers-Ramanujan identities.

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تاریخ انتشار 2002