Please use this identifier to cite or link to this item: http://hdl.handle.net/2080/2545
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

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