Geodesic
Finite reciprocal sums involving summands that are balanced products of generalized Fibonacci numbers
Journal of integer sequences, Tome 17 (2014) no. 6
Zbl
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 
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/
@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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