Geodesic
Reciprocal sums of the Tribonacci numbers
Journal of integer sequences, Tome 19 (2016) no. 2
In this article, we consider infinite sums of the reciprocals of the tribonacci numbers. Then, by applying the floor function to the reciprocals of these sums, we obtain a new identity involving the tribonacci numbers. Further, we give the formulas for an alternating sum of the reciprocals of the tribonacci numbers and a sum of reciprocal hypertribonacci numbers.
Classification : 11B39, 11B37
Keywords: tribonacci number, reciprocal sum 
@article{JIS_2016__19_2_a2,
     author = {Anantakitpaisal,  Pornpawee and Kuhapatanakul,  Kantaphon},
     title = {Reciprocal sums of the {Tribonacci} numbers},
     journal = {Journal of integer sequences},
     year = {2016},
     volume = {19},
     number = {2},
     zbl = {1364.11037},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2016__19_2_a2/}
}
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Anantakitpaisal,  Pornpawee; Kuhapatanakul,  Kantaphon. Reciprocal sums of the Tribonacci numbers. Journal of integer sequences, Tome 19 (2016) no. 2. http://geodesic.mathdoc.fr/item/JIS_2016__19_2_a2/