Journal of Integer Sequences, Vol. 19 (2016), Article 16.2.1

Reciprocal Sums of the Tribonacci Numbers

Pornpawee Anantakitpaisal and Kantaphon Kuhapatanakul
Department of Mathematics
Faculty of Science
Kasetsart University
Bangkok 10900


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,    dvi,    ps,    latex    

(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.

Return to Journal of Integer Sequences home page