TY - JOUR
AU - Yasemin Alp
AU - E. Gokcen Kocer
PY - 2024/03/25
Y2 - 2024/04/18
TI - Leonardo and hyper-Leonardo numbers via Riordan arrays
JF - Ukrainsâ€™kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 76
IS - 3
SE - Research articles
DO - 10.3842/umzh.v45i3.7296
UR - https://umj.imath.kiev.ua/index.php/umj/article/view/7296
AB - UDC 511A generalization of the Leonardo numbers is defined and called the hyper-Leonardo numbers. Infinite lower triangular 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 obtained using the fundamental theorem of the Riordan arrays.
ER -