Journal of Integer Sequences, Vol. 22 (2019), Article 19.5.6

On the Problem of Pillai with Tribonacci Numbers and Powers of 3

Mahadi Ddamulira
Institute of Analysis and Number Theory
Graz University of Technology
Kopernikusgasse 24/II
A-8010 Graz


Let (Tn)n ≥ 0 be the sequence of tribonacci numbers defined by T0 = 0, T1 = T2 = 1, and Tn+3 = Tn+2 + Tn+1 + Tn for all n ≥ 0. In this note, we find all integers c admitting at least two representations as a difference between a tribonacci number and a power of 3.

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(Concerned with sequence A000073.)

Received June 1 2019; revised versions received July 31 2019; August 21 2019. Published in Journal of Integer Sequences, August 23 2019.

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