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On certain series of reciprocals of Fibonacci numbers. (English) Zbl 0539.10012

An alternative, shorter proof of a result of R. P. Backstrom [ibid. 19, 14-21 (1981; Zbl 0446.10011)] concerning the sums of series whose terms are reciprocals of Fibonacci numbers is provided. Furthermore, the method used here gives the possibility of obtaining new formulas related to the Fibonacci and Lucas numbers.

MSC:

11B37 Recurrences

Citations:

Zbl 0446.10011
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