Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/7637
Title: The generalized order-k Fibonacci-Pell sequence by matrix methods
Authors: Kılıç, Emrah
Keywords: generalized Fibonacci and Pell number
sums
generating function
matrix methods
Issue Date: 2007
Publisher: Elsevier Science Bv
Abstract: In this paper, we consider the usual and generalized order-k Fibonacci and Pell recurrences, then we define a new recurrence, which we call generalized order-k F-P sequence. Also we present a systematic investigation of the generalized order-k F-P sequence. We give the generalized Binet formula, some identities and an explicit formula for sums of the generalized order-k F-P sequence by matrix methods. Further, we give the generating function and combinatorial representations of these numbers. Also we present an algorithm for computing the sums of the generalized order-k Pell numbers, as well as the Pell numbers themselves. (C) 2006 Elsevier B.V. All rights reserved.
URI: https://doi.org/10.1016/j.cam.2006.10.071
https://hdl.handle.net/20.500.11851/7637
ISSN: 0377-0427
1879-1778
Appears in Collections:Matematik Bölümü / Department of Mathematics
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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