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
@article{DMGAA_2020_40_2_a5,
author = {Dutta, Utkal Keshari and Ray, Prasanta Kumar},
title = {On the {Partial} {Finite} {Alternating} {Sums} of {Reciprocals} of {Balancing} and {Lucas-Balancing} {Numbers}},
journal = {Discussiones Mathematicae. General Algebra and Applications},
pages = {201--216},
publisher = {mathdoc},
volume = {40},
number = {2},
year = {2020},
language = {en},
url = {http://geodesic.mathdoc.fr/item/DMGAA_2020_40_2_a5/}
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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/