%0 Journal Article
%T Factorial-like values in the balancing sequence
%A Irmak
%A Nurettin
%A Liptai
%A K¨¢lm¨¢n
%A Szalay
%A L¨¢szl¨®
%J -
%D 2018
%X Sa£¿etak 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
%K Factorials
%K balancing numbers
%K diophantine equation
%U https://hrcak.srce.hr/index.php?show=clanak&id_clanak_jezik=292563