ANALYSIS OF THE RELATIONSHIP BETWEEN FIBONACCI AND LUCAS NUMBERS IN MODULAR 7 AND 8
Keywords:
Stirling’s numbers of the first kind, tetranacci numbers, Striling’s matrix of the first kind, tetranacci matrixAbstract
In this article some relationships between the Fibonacci and Lucas numbers in modulo 7 and 8 are proven. The are some relationships in modular 7 such as“`F7n´n (mod 7)”6 0 (mod 7), for every n = 8k, 1 for another n. Fibonacci numbers in modulo Z2 an Z4 have a relationship with modulo Z8 namely
2Ln (mod 4) − 9Ln (mod 2) (Ln (mod 8))4.
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