Some algebraic relations on integer sequences involving oblong and balancing numbers

Please use this identifier to cite or link to this item: http://hdl.handle.net/11452/33809

Title:	Some algebraic relations on integer sequences involving oblong and balancing numbers
Authors:	Özkoç, Arzu Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü. Tekcan, Ahmet Eraşık, Meltem E. AAH-8518-2021 CQA-6599-2022 55883777900 57196046447
Keywords:	Mathematics Fibonacci numbers Lucas numbers Pell numbers Oblong numbers Balancing numbers Binary linear recurrences Circulant matrix Spectral norm Simple continued fraction expansion Cross-ratio
Issue Date:	Jul-2016
Publisher:	Charles Babbage Research Centre
Citation:	Tekcan, A. vd. (2016). "Some algebraic relations on integer sequences involving oblong and balancing numbers". Ars Combinatoria, 128, 11-31.
Abstract:	Let k >= 0 be an integer. Oblong (pronic) numbers are numbers of the form O-k = k(k+1). In this work, we set a new integer sequence B = B-n(k) defined as B-0 = 0, B-1 = 1 and B-n = O-k Bn-1 - Bn-2 for n >= 2 and then derived some algebraic relations on it. Later, we give some new results on balancing numbers via oblong numbers.
URI:	http://hdl.handle.net/11452/33809
ISSN:	0381-7032
Appears in Collections:	Scopus Web of Science

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