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A NOTE ON THE MODIFIED k-FIBONACCI-LIKE SEQUENCE
- Authors
- Kwon, Youngwoo
- Issue Date
- 2016
- Publisher
- KOREAN MATHEMATICAL SOC
- Keywords
- k-Fibonacci sequence; k-Fibonacci-like sequence; Binet' s formula
- Citation
- COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, v.31, no.1, pp.1 - 16
- Indexed
- SCOPUS
KCI
- Journal Title
- COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY
- Volume
- 31
- Number
- 1
- Start Page
- 1
- End Page
- 16
- ISSN
- 1225-1763
- Abstract
- The Fibonacci sequence is a sequence of numbers that has been studied for hundreds of years. In this paper, we introduce the modified k-Fibonacci-like sequence and prove Binet's formula for this sequence and then use it to introduce and prove the Catalan, Cassini, and d'Ocagne identities for the modified k-Fibonacci-like sequence. Also, the ordinary generating function of this sequence is stated.
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