Reciprocal Sums of $I$-th Power of Generalized Binary Sequences With Indices

Abstract

Recently in $[5]$, the author considered certain reciprocal sums of general second order recurrence $\{W_n\}$. In this paper, we generalize the results of Xi and we give some new results for the reciprocal sums of $k$-th power of general second order recurrence $\{W_{kn}\}$ for arbitrary positive integer $k$.