In this paper, we define a generalized Horadam triangle in which the sum of elements locatedalong the diagonal lines corresponds to the terms of generalized Horadam sequence of order three.We establish a relation between generalized Horadam triangle and the generalized Delannoy trian-gle. Additionally, we define theq-analogue of the generalized Tribonacci sequence and generalizedHoradam sequence of order three.

On the Horadam sequence of order three

C. Cesarano
;
2025-01-01

Abstract

In this paper, we define a generalized Horadam triangle in which the sum of elements locatedalong the diagonal lines corresponds to the terms of generalized Horadam sequence of order three.We establish a relation between generalized Horadam triangle and the generalized Delannoy trian-gle. Additionally, we define theq-analogue of the generalized Tribonacci sequence and generalizedHoradam sequence of order three.
2025
Horadam sequence,q-analogue, recurrence relation
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14086/8641
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