Geodesic
An identity for the Fibonacci and Lucas numbers
Glasgow mathematical journal, Tome 35 (1993) no. 3, pp. 381-384

Voir la notice de l'article provenant de la source Cambridge University Press

In this paper we prove an identity between sums of reciprocals of Fibonacci and Lucas numbers. The Fibonacci numbers are defined for all n ≥ 0 by the recurrence relation Fn + 1 = Fn + Fn-1 for n ≥ 1, where F0 = 0 and F1 = 0. The Lucas numbers Ln are defined for all n ≥ 0 by the same recurrence relation, where L0 = 2 and L1 = 1 We prove the following identify. 
Jennings, Derek. An identity for the Fibonacci and Lucas numbers. Glasgow mathematical journal, Tome 35 (1993) no. 3, pp. 381-384. doi: 10.1017/S0017089500009964
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