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

  • Nurettin Irmak
  • László Szalay

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.
Published
2016-03-07
How to Cite
Irmak, N., & Szalay, L. (2016). Tribonacci Numbers Close to the Sum $2^a+3^b+5^c$. MATHEMATICA SCANDINAVICA, 118(1), 27-32. https://doi.org/10.7146/math.scand.a-23293
Section
Articles