Hybrid Numbers with Hybrid Leonardo Number Coefficients

Elen Viviani Pereira Spreafico, Eudes Antonio Costa, Paula Maria Machado Cruz Catarino

Abstract


In this study we define a new generalization of the hybrid Leonardo sequence consisting of the hybrid numbers with hybrid Leonardo numbers coefficients. We investigate some algebraic properties of this new sequence and also the generating function, exponential generating function and the Binet formula related with this type of sequences. In addition, some identities are provided as Cassini's identity and sums related.

Keywords


Leonardo sequence; hybrid Leonardo sequence; the Binet formula; generating function

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