Reciprocal Sums of the Tribonacci Numbers
Pornpawee Anantakitpaisal and Kantaphon Kuhapatanakul
Department of Mathematics
Faculty of Science
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.
Full version: pdf,
(Concerned with sequences
Received September 16 2015; revised version received January 8 2016.
Published in Journal of Integer Sequences, January 9 2016.
Journal of Integer Sequences home page