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The Generating Function of a Bi-Periodic Leonardo Sequence

This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

CC BY-NC 4.0 This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

Abstract

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.

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