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

• Autores: Nurettin Irmak, László Szalay
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 118, Nº 1, 2016, págs. 27-32
• Idioma: inglés
• DOI: 10.7146/math.scand.a-23293
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• Resumen

  • 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.