On the infinite sum of reciprocals of the fourth powers of balancing numbers

Subhasis Panda, Aditya Kumar Dash, Utkal Keshari Dutta

In this note, we study the infinite reciprocal sum ${\sum }_{k=n}^{\infty }1/B_k^4$ involving the fourth powers of balancing numbers $B_n$. We show that, for every $n\ge 2$, \begin{equ…