Geodesic
Finite reciprocal sums involving summands that are balanced products of generalized Fibonacci numbers
Journal of integer sequences, Tome 17 (2014) no. 6
In this paper we find closed forms, in terms of rational numbers, for certain finite sums. The denominator of each summand is a finite product of terms drawn from two sequences that are generalizations of the Fibonacci and Lucas numbers.
Classification : 11B39, 11B37
Keywords: reciprocal summation, Fibonacci number, Lucas number 
@article{JIS_2014__17_6_a2,
     author = {Melham,  R.S.},
     title = {Finite reciprocal sums involving summands that are balanced products of generalized {Fibonacci} numbers},
     journal = {Journal of integer sequences},
     year = {2014},
     volume = {17},
     number = {6},
     zbl = {1358.11031},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2014__17_6_a2/}
}
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Melham,  R.S. Finite reciprocal sums involving summands that are balanced products of generalized Fibonacci numbers. Journal of integer sequences, Tome 17 (2014) no. 6. http://geodesic.mathdoc.fr/item/JIS_2014__17_6_a2/