Some Properties of Fibonacci Numbers, Generalized Fibonacci Numbers and\n Generalized Fibonacci Polynomial Sequences

In this paper we study the Fibonacci numbers and derive some interesting\nproperties and recurrence relations. We prove some charecterizations for $F_p$,\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