Tribonacci Numbers Close to the Sum $2^a+3^b+5^c$

Authors

  • Nurettin Irmak
  • László Szalay

DOI:

https://doi.org/10.7146/math.scand.a-23293

Abstract

We show that there are exactly 22 solutions to the inequalities \[ 0\le T_n-2^a-3^b-5^c\le10, \] where $T_n$ denotes the $n^{\it th}$ term ($n\ge0$) of the Tribonacci sequence, and $0\le a,b\le c$ are integers. All the solutions are explicitly determined.

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Published

2016-03-07

Issue

Vol. 118 No. 1 (2016)

Section

Articles

How to Cite

[1]
N. Irmak and L. Szalay, “Tribonacci Numbers Close to the Sum $2^a+3^b+5^c$”, Math. Scand., vol. 118, no. 1, pp. 27–32, Mar. 2016, doi: 10.7146/math.scand.a-23293.