On Some Recurrence Relations Connected with Generalized Fermat Numbers and Some Properties of Divisibility for these Numbers

As a result of nice properties of Fermat numbers and their interesting applications, these numbers have recently seen a variety of developments and extensions. Within this framework, this paper contributes. The purpose of this paper is to obtain some recurrence relations connected with generalized Fermat numbers \ (F\) \ (n\) = \ (a\) 2\ (n\) + 1 for \ (a\) ; \ (n\) \ (\) \ (Z\) and \ (n\) \ (\) 0 and as a result of these recurrent relations, to get some properties of divisibility for generalized Fermat numbers.