Year: 2025
Type: article
Abstract: In this paper, we introduce and investigate a new third order recurrence sequence so called generalized co-Narayana sequence and its two special subsequences which are related to generalized Narayana numbers and its two subsequences. There are close interrelations between recurrence equations of and roots of characteristic equations of generalized Narayana and generalized co-Narayana numbers. We present Binet's formulas, generating functions, some identities, Simson's formulas, recurrence properties, sum formulas and matrices related with these sequences.
Author: Yüksel Soykan
Institution: Zonguldak Bülent Ecevit University
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4410027947