Classes of integers for which the number of F-addends (distinct nonconsecutive Fibonacci numbers) can be expressed in a closed form are studied. The F-addend representation of several classes of the set (Kn) of Fibonacci and Lucas related integers is established. On the basis of the uniqueness of this representation, the value of f(Kn) is found by simply enumerating the addends. The algebraic sum of Fibonacci and lucas numbers; product of Fibonacci and Lucas numbers; ratio of particular Fibonacci and Lucas numbers; and generalized Fibonacci numbers having particular initial values are considered.
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