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Binomial transforms of the modified k-Fibonacci-like sequence

Authors
Kwon, Youngwoo
Issue Date
2019
Publisher
LEBANESE UNIV
Keywords
modified k-Fibonacci-like sequence; binomial; k-binomial; rising k-binomial; falling k-binomial
Citation
INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE, v.14, no.1, pp.47 - 59
Indexed
SCOPUS
Journal Title
INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE
Volume
14
Number
1
Start Page
47
End Page
59
URI
https://scholar.korea.ac.kr/handle/2021.sw.korea/68994
ISSN
1814-0424
Abstract
This study applies the binomial, k-binomial, rising k-binomial and falling k-binomial transforms to the modified k-Fibonacci-like sequence. Also, the Binet formulas and generating functions of the above mentioned four transforms are newly found by the recurrence relations.
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