Some properties of convolved \(k\)-Fibonacci numbers
type: Item
instance of: scholarly article
title: Some properties of convolved \(k\)-Fibonacci numbers
zbMATH Open document ID: 1294.11011
DOI: 10.1155/2013/759641
author: José L. Ramírez
published in: ISRN Combinatorics
publication date: 2013-08-29T00:00:00Z
review text: Summary: We define the convolved \(k\)-Fibonacci numbers as an extension of the classical convolved Fibonacci numbers. Then we give some combinatorial formulas involving the \(k\)-Fibonacci and \(k\)-Lucas numbers. Moreover we obtain the convolved \(k\)-Fibonacci numbers from a family of Hessenberg matrices.
Mathematics Subject Classification ID: 11B39
zbMATH DE Number: 6202999
zbMATH Keywords: convolved \(k\)-Fibonacci number
zbMATH Keywords: \(k\)-Lucas number
zbMATH Keywords: Hessenberg matrix
Wikidata QID: Q58998560
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/759641
OpenAlex ID: W2037496150
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description: scientific article; zbMATH DE number 6202999