%0 Journal Article
%T On Diophantine, pronic and triangular triples of balancing numbers
%A Panda
%A Gopal Krishna
%A Rayaguru
%A Sai Gopal
%A Togbe
%A Alain
%J -
%D 2020
%X Sa£żetak In this paper, we search for some Diophantine triples of balancing numbers. We prove that, if $(6\pm2)B_nB_k+1$ and $(6\pm2)B_{n+2}B_k+1$ are both perfect squares then $k=n+1$, for any positive integer $n \geq 1$. In addition, we define pronic $m$-tuples, triangular $m$-tuples and prove some results related to pronic and triangular triples of balancing numbers
%K Balancing numbers
%K Diophantine triples
%K Linear forms in complex and $p$-adic logarithms
%U https://hrcak.srce.hr/index.php?show=clanak&id_clanak_jezik=342265