On Hybrid Numbers with Gaussian Leonardo Coefficients

OpenAlex İngilizce

We consider the Gaussian Leonardo numbers and investigate some of their amazing characteristic properties, including their generating function, the associated Binet formula and Cassini identity, and their matrix representation. Then, we define the hybrid Gaussian Leonardo numbers and obtain some of their particular properties. Furthermore, we define nn Hessenberg matrices whose permanents yield the Leonardo and Gaussian Leonardo sequences.