Reciprocal Sums of the Tribonacci Numbers
Pornpawee Anantakitpaisal and Kantaphon Kuhapatanakul
Department of Mathematics
Faculty of Science
Kasetsart University
Bangkok 10900
Thailand
Abstract:
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.
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(Concerned with sequences
A000045
A000073
A136431.)
Received September 16 2015; revised version received January 8 2016.
Published in Journal of Integer Sequences, January 9 2016.
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