Leonardo and Hyper-Leonardo Numbers Via Riordan Arrays.

Autor: Alp, Yasemin, Kocer, E. Gokcen
Předmět:
Zdroj: Ukrainian Mathematical Journal; Aug2024, Vol. 76 Issue 3, p361-378, 18p
Abstrakt: A generalization of the Leonardo numbers is defined and called hyper-Leonardo numbers. Infinite lowertriangular matrices whose elements are Leonardo and hyper-Leonardo numbers are considered. Then the A- and Z-sequences of these matrices are obtained. Finally, the combinatorial identities between the hyper-Leonardo and Fibonacci numbers are deduced by using the fundamental theorem on Riordan arrays. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index