Open AccessOn the properties of k-balancing and k-Lucas-balancing numbers
Author(s) -
Prasanta Kumar Ray
Publication year - 2017
Publication title -
acta et commentationes universitatis tartuensis de mathematica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.276
H-Index - 6
eISSN - 2228-4699
pISSN - 1406-2283
DOI - 10.12697/acutm.2017.21.18
Subject(s) - lucas sequence , natural number , mathematics , sequence (biology) , lucas number , combinatorics , discrete mathematics , fibonacci number , chemistry , fibonacci polynomials , biochemistry , orthogonal polynomials , difference polynomials
The k-Lucas-balancing numbers are obtained from a special sequence of squares of k-balancing numbers in a natural form. In this paper, we will study some properties of k-Lucas-balancing numbers and establish relationship between these numbers and k-balancing numbers.
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