Generalized Tribonacci Function and Tribonacci Numbers
Krishna Kumar Sharma
Krishna Kumar Sharma, Department of Applied Mathematics, Gautam Buddha University, Greater Noida, UP, India.
Manuscript received on April 02, 2020. | Revised Manuscript received on April 21, 2020. | Manuscript published on May 30, 2020. | PP: 1313-1316 | Volume-9 Issue-1, May 2020. | Retrieval Number: F7640038620/2020©BEIESP | DOI: 10.35940/ijrte.F7640.059120
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: In the language of mathematics, sequence is considered to be list of numbers arranged in a particular way. A lot of sequences have been minutely studied till date. One of the most conspicuous among them is Fibonacci sequence. It is the sequence, which can be found by adding two previous terms, where the initial conditions are 0 and 1. In a similar manner, Tribonacci sequence is also obtained by adding three previous consecutive terms. In this research paper, we introduce Tribonacci function with period s (positive integer) such that We construct some of the interesting properties, using induction technique, – odd function and – even function for Tribonacci function with period s. In the present research article we also show that exists.
Keywords: Fibonacci Numbers, Tribonacci Function, Tribonacci Numbers.
Scope of the Article: Applied Mathematics and Mechanics