On Fibonacci Numbers and its Applications
2019 ◽
Vol 8
(12)
◽
pp. 453-455
In this article, we explore the representation of the product of k consecutive Fibonacci numbers as the sum of kth power of Fibonacci numbers. We also present a formula for finding the coefficients of the Fibonacci numbers appearing in this representation. Finally, we extend the idea to the case of generalized Fibonacci sequence and also, we produce another formula for finding the coefficients of Fibonacci numbers appearing in the representation of three consecutive Fibonacci numbers as a particular case. Also, we point out some amazing applications of Fibonacci numbers.
2013 ◽
Vol 09
(05)
◽
pp. 1351-1366
◽
2020 ◽
Vol 16
(07)
◽
pp. 1643-1666
2020 ◽
Vol 26
(11-12)
◽
pp. 1564-1578
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