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Binomial transforms of the Padovan and Perrin matrix sequences. (English) Zbl 1294.11012
Summary: We apply the binomial transforms to Padovan and Perrin matrix sequences. Also, the Binet formulas, summations, and generating functions of these transforms are found by recurrence relations. Finally, we illustrate the relations between these transforms by deriving new formulas.

11B39 Fibonacci and Lucas numbers and polynomials and generalizations
11B75 Other combinatorial number theory
Full Text: DOI arXiv
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