The Generating Function of a Bi-Periodic Leonardo Sequence

Author(s)

The Generating Function of a Bi-Periodic Leonardo Sequence Carlos M. da Fonseca

In "A note on bi-periodic Leonardo sequence", the generating function for a certain bi-periodic Leonardo sequence is claimed.  In this note, we show that the result is not correct. Based on the literature, we establish the correct identity. Possible periodic extensions for the Leonardo sequence are discussed, opening new avenues for results in the area.

DOI: 10.52737/18291163-2024.16.07-1-8 Armenian Journal of Mathematics, 16(7) 1-8

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Keywords

Leonardo Numbers, Generating Functions, Hessenberg Matrices, Recurrence Relations, Determinant

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