Some properties of new multiplicative pulsating 3-Fibonacci sequence
Keywords:
3-Fibonacci sequence, Pulsating, Multiplicative, Number theoryAbstract
We know that the Fibonacci sequence is usually reloaded to pattern in nature. For example, it has been known that the arrangement of leaves or flowers around the stem is formed Fibonacci sequence which is called phyllotactic formations. In this paper, we studied about the Fibonacci-like sequence which have three dimensional. We found the new ideas for construction them. Then we described the basic concepts using for construction the new multiplicative pulsating 3-Fibonacci sequences. Moreover, some identities of them were proved.
References
Tanaka Y, Mimura M, Ninomiya H. A reaction diffusion model for understanding phyllotactic formation. J Ind Appl Math 2016;33(1):183-205.
Atanassov KT, Atanassov V, Shannon AG, Turner JC. New visual perspectives on Fibonacci numbers. World Scientific; 2002.
Atanassov KT. On a second new generalization of the Fibonacci sequence. Fibonacci Q 1986;24(4):362-5.
Atanassov KT. Remark on a new direction for a generalization of the Fibonacci sequence. Fibonacci Q 1995;33(3):249-50.
Atanassov KT. Pulsating Fibonacci sequences. Notes Number Theory Discrete Math 2013;19(3):12-14.
Lee JZ, Lee JS. Some properties of the generalization of the Fibonacci sequence. Fibonacci Q 1987;25(2):111-17.
Suvarnamani A, Koyram S. Multiplicative pulsated Fibonacci sequence part 2. Univers J Appl Math 2015;3(5):89-93.
Suvarnamani A, Tatong M. Multiplicative pulsating 3-Fibonacci sequence. Math J 2016;61(688):15-25.
Suvarnamani A. On the multiplicative pulsating n-Fibonacci sequence. SNRUJST 2017;9(2):502-8.
Halıcı S, Karatas A. On complex pulsating Fibonacci sequence. Konuralp J Math 2019;7(2):274-8.
Downloads
Published
How to Cite
Issue
Section
License
บทความทุกบทความที่ได้รับการตีพิมพ์ถือเป็นลิขสิทธิ์ของ คณะวิทยาศาสตร์แฟละเทคโนโลยี มหาวิทยาลัยหัวเฉียวเฉลิมพระเกียรติ
