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
Austria
Abstract:
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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