Open Access Open Access  Restricted Access Subscription Access

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.

Full Text:

PDF


DOI: http://dx.doi.org/10.7146/math.scand.a-23293

Refbacks

  • There are currently no refbacks.
This website uses cookies to allow us to see how the site is used. The cookies cannot identify you or any content at your own computer.
OK


ISSN 0025-5521 (print) ISSN 1903-1807 (online)

Hosted by the Royal Danish Library