Shifted Fibonacci Numbers

Authors : Adnan Karataş

Pages : 1440-1444

Doi:10.35414/akufemubid.1345862

View : 78 | Download : 78

Publication Date : 2023-12-28

Article Type : Research Paper

Abstract :Shifted Fibonacci numbers have been examined in the literature in terms of the greatest common divisor, but appropriate definitions and fundamental equations have not been worked on. In this article, we have obtained the Binet formula, which is a fundamental equation used to obtain the necessary element of the shifted Fibonacci number sequence. Additionally, we have obtained many well-known identities such as Cassini, Honsberger, and various other identities for this sequence. Furthermore, summation formulas for shifted Fibonacci numbers have been presented.
Keywords : Kaymış Fibonacci Sayıları, Binet Formülü, Özdeşlikler, Toplam Formülleri