Anantakitpaisal, Pornpawee; Kuhapatanakul, Kantaphon

Reciprocal sums of the tribonacci numbers

J. Integer Seq. 19(2), Article 16.2.1, 9 p., electronic only (2016)

Summary

Summary: 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.

Mathematics Subject Classification

11B39, 11B37

Keywords/Phrases

tribonacci number, reciprocal sum

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