Factorial-like values in the balancing sequence
Irmak, Nurettin ; Liptai, Kálmán ; Szalay, László
Mathematical Communications, Tome 23 (2018) no. 2, p. 197-204 / Harvested from Mathematical Communications
Text on Mathematical Communications
In this paper, we solve a few diophantine equations linked to balancing numbers and factorials. The basic problem $B_y=x!$ has only the one nontrivial solution $B_2=6=3!$, but it is a direct consequence of a theorem of F.~Luca. The more difficult problem $B_y=x_2!/x_1!$ is still open, but we solve it under different conditions. Two related problems are also studied.
Publié le : 2018-04-11
Classification:  Factorials, balancing numbers, diophantine equation,  11B39, 11D72 
@article{mc2401,
     author = {Irmak, Nurettin and Liptai, K\'alm\'an and Szalay, L\'aszl\'o},
     title = {Factorial-like values in the balancing sequence},
     journal = {Mathematical Communications},
     volume = {23},
     number = {2},
     year = {2018},
     pages = { 197-204},
     language = {eng},
     url = {http://dml.mathdoc.fr/item/mc2401}
}

Irmak, Nurettin; Liptai, Kálmán; Szalay, László. Factorial-like values in the balancing sequence. Mathematical Communications, Tome 23 (2018) no. 2, pp.  197-204. http://gdmltest.u-ga.fr/item/mc2401/