Geodesic
On the Partial Finite Alternating Sums of Reciprocals of Balancing and Lucas-Balancing Numbers
Discussiones Mathematicae. General Algebra and Applications, Tome 40 (2020) no. 2, pp. 201-216

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In this note, the finite alternating sums of reciprocals of balancing and Lucas-balancing numbers are considered and several identities involving these sums are deduced.
Keywords: balancing numbers, Lucas-balancing numbers, partial sums, reciprocal, floor function 
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Dutta, Utkal Keshari; Ray, Prasanta Kumar. On the Partial Finite Alternating Sums of Reciprocals of Balancing and Lucas-Balancing Numbers. Discussiones Mathematicae. General Algebra and Applications, Tome 40 (2020) no. 2, pp. 201-216. http://geodesic.mathdoc.fr/item/DMGAA_2020_40_2_a5/