CD Tesis
Identitas Bilangan K-Tribonacci Dalam Z6 Dan Z8
In this Thesis the identity of k-Tribonacci numbers in modular ring Z6 and in modular ring Z8 are discussed and their relationship with the k-Tribonacci number of factors of 6 and the factor of 8 are analysed using the method carried out by Layendekkers and Shannon [Notes on Number Theory and Discrete Mathematics, 19 (2013), 66-72]. Our computational experiment results show that (i) for k ≡ 1 (mod 6) k-Tribonacci number has orde 52, (ii) for k ≡ p (mod 6) where p is prime has orde 4 and (iii) for k ≡ 4 (mod 6) k-Tribonacci number in Z6 has orde 13. For k-Tribonacci number in Z8 our computational experiment results show that (i) k ≡ p (mod 8) where p ≤ 5 and p odd number has order 16, (ii) for k ≡ g (mod 8) where g is a even number has orde 4, and (iii) for k ≡ 7 (mod 8) k-Tribonacci number in Z8 has order 4.
Keywords: Congruence, Fibonacci number, k-Fibonacci numbers, Tribonacci number, k-Tribonacci number
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