On the representation of k-generalized Fibonacci and Lucas numbers

Ahmet Ali Öcal, Naim Tuğlu, Ercan Altınışık

Type: Article

Publication Date: 2005-03-12

Citations: 44

DOI: https://doi.org/10.1016/j.amc.2004.12.009

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Locations

Applied Mathematics and Computation - View

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Works That Cite This (37)

Action	Title	Year	Authors
+	A new method to compute the terms of generalized order- k Fibonacci numbers	2013	Kenan Kaygısız Adem Şahіn
+	On k-Fibonacci numbers of arithmetic indexes	2008	Sergio Falcón Ángel Plaza
+ PDF Chat	Generalized Fibonacci photon sieves	2015	Jie Ke Junyong Zhang
+ PDF Chat	ON A SEQUENCE OF TRIDIAGONAL MATRICES WHOSE DETERMINANTS ARE FIBONACCI NUMBERS $F_{n+1}$	2015	Pavel Trojovský
+	A note on the bi-periodic Fibonacci and Lucas matrix sequences	2016	Arzu Coşkun Nazmiye Yılmaz Necati Taşkara
+	On the generalized Perrin and Cordonnier matrices	2017	Adem Şahіn
+ PDF Chat	A note on the bi-periodic Fibonacci and Lucas matrix sequences	2017	Arzu Coşkun Necati Taşkara
+	A new family of k-Fibonacci numbers	2010	Moawwad El-Mikkawy Tomohiro Sogabe
+ PDF Chat	An exponential equation involving k-Fibonacci numbers	2021	Alioune Badara Guèye Salah Eddine Rihane Alain Togbé
+ PDF Chat	On the norms of r-circulant matrices with the hyper-Fibonacci and Lucas numbers	2014	Mustafa Bahşı Süleyman Solak

Works Cited by This (18)

Action	Title	Year	Authors
+	On the order-k generalized Lucas numbers	2003	Dursun Taşçı Emrah Kılıç
+	Generalized Fibonacci Numbers and Associated Matrices	1960	E. P. Miles
+	On determinants of Toeplitz-Hessenberg matrices arising in power series	1978	Alfred Inselberg
+	An application of Fibonacci numbers in matrices	2003	Erdal Karaduman
+	k-Lucas numbers and associated bipartite graphs	2000	Gwang-Yeon Lee
+	k-Generalized Fibonacci Numbers	2014	Yashwant K. Panwar Mamta Singh
+	On Generalized Fibonacci Numbers	1971	Mirka Miller
+	A Generalized Fibonacci Sequence	1961	A. F. Horadam
+	Fibonacci properties by matrix methods	1979	John R. Silvester
+	Generalized Fibonacci Numbers and Associated Matrices	1960	E. P. Miles