2012/09/19 by Alexandre Laugier, Laugier, Alexandre, Manjil P. Saikia +1
Physics and Astronomy · Mathematics · Biochemistry, Genetics and Molecular Biology · #Advanced Mathematical Theories and Applications #Advanced Combinatorial Mathematics #Fractal and DNA sequence analysis
paper · pdf · doi:10.48550/arxiv.1209.4604
In this paper we study the Fibonacci numbers and derive some interesting\nproperties and recurrence relations. We prove some charecterizations for Fp,\nwhere p is a prime of a certain type. We also define period of a Fibonacci\nsequence modulo an integer, m and derive certain interesting properties\nrelated to them. Afterwards, we derive some new properties of a class of\ngeneralized Fibonacci numbers. In the last part of the paper we introduce some\ngeneralized Fibonacci polynomial sequences and we derive some results related\nto them.\n