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Title: | Sequences Associated With Balancing-Like Sequences |
Authors: | Panda, G K Pradhan, S S |
Keywords: | Sequences Balancing-Like Sequences |
Issue Date: | Jul-2016 |
Citation: | 17th International Conference on Fibonacci Numbers and Their Applications, University of Caen, France, 27 Jun-2 Jul 2016 |
Abstract: | The balancing-like sequences defined as 𝑥𝑛+1 = 𝐴𝑥𝑛 − 𝑥𝑛−1 with initializations 𝑥0 = 0, 𝑥1 = 1 (where 𝐴 > 2 is a natural number) are natural generalizations of the balancing sequence. It is an interesting idea to construct Lucas-balancing-like, cobalancing-like and Lucas-cobalancing-like sequences from balancing-like sequences and to see whether these sequences behave like Lucas-balancing, cobalancing and Lucas-cobalancing sequences respectively. Further, from each balancing-like sequence, it will be interesting extract two sequences (comparable to Pell and associated Pell sequences) such that the product of these sequences is equal to the corresponding balancing-like sequence. Generalized triangular numbers, with certain properties common with triangular numbers, can be constructed for each balancing-like sequence. |
URI: | http://hdl.handle.net/2080/2545 |
Appears in Collections: | Conference Papers |
Files in This Item:
File | Description | Size | Format | |
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2016_IntConfFibonacci_PandaGK.pdf | 225.95 kB | Adobe PDF | View/Open Request a copy |
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