Properties of Sequences Generated by Summing the Digits of Cubed Positive Integers

Okagbue, H. I. and Adamu, M. O. and Bishop, S.A. and Opanuga, A. A. (2015) Properties of Sequences Generated by Summing the Digits of Cubed Positive Integers. Indian Journal Of Natural Sciences, 6 (32). pp. 10190-10201. ISSN 0976 – 0997

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Abstract

Having established some properties of sequences generated by summing the digits of squared positive integers (Okagbue et al, 2015), we go a step further to explore the properties and characteristics of sequences generated by summing the digits of cubed positive integers. The results are different from summing the digits of squared positive integers. Two distinct sequences were obtained: one generated by summing the digits of cubed positive integers and the other sequence as the complement of the first but the domain remains the positive integers. The properties of these two sequences are discussed. The properties include their decompositions, subsequences, algebraic, additive, multiplicative, divisibility, uniqueness and ratios.

Item Type:	Article
Uncontrolled Keywords:	Sequence, cube, digits, subsequence, positive integers.
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Engineering, Science and Mathematics > School of Mathematics
Depositing User:	Mrs Patricia Nwokealisi
Date Deposited:	11 Apr 2016 12:21
Last Modified:	11 Apr 2016 12:21
URI:	http://eprints.covenantuniversity.edu.ng/id/eprint/6544

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