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Factorial-like values in the balancing sequence

Nurettin Irmak
Kálmán Liptai
László Szalay


Puni tekst: engleski pdf 127 Kb

str. 197-204

preuzimanja: 493

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Sažetak

In this paper, we solve a few diophantine equations linked to balancing numbers and factorials. The basic problem By=x! has only the one nontrivial solution B2=6=3!, but it is a direct consequence of a theorem of F. Luca. The more difficult problem By=x2!/x1! is still open, but we solve it under different conditions. Two related problems are also studied.

Ključne riječi

Factorials; balancing numbers; diophantine equation

Hrčak ID:

198689

URI

https://hrcak.srce.hr/198689

Datum izdavanja:

7.11.2018.

Posjeta: 1.268 *

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