Bianchi type IX bulk viscous cosmological model with barotropic equation of state and dark energy is investigated with the consideration of condition 0 , where and are the rest energy density and the tension density of a string cloud respectively. For obtaining deterministic model of the universe we assume that (shear) is proportional to (expansion) which leads to m B = Am , where m is a constant, A and B are metric potentials. The physical and geometrical properties of the model are also discussed.
In this paper we extend the Fibonacci recurrence relation to define the sequence {Cn} and derive some properties of this sequence. We alsodefine the four comparison sequence {Pn}, {Qn}, {Rn}, {Sn}. We also obtain some identities with the help of generating matrix.
