On the maximum of the weighted binomial sum $(1+a{)}^{-r}{\sum }_{i=0}^r(\genfrac{}{}{0ex}{}{m}{i})a^i$

Seok Hyun Byun, Svetlana Poznanović

Recently, Glasby and Paseman considered the following sequence of binomial sums $\{2^{-r}{\sum }_{i=0}^r(\genfrac{}{}{0ex}{}{m}{i}){\}}_{r=0}^m$ and showed that this sequence is unimodal and attai…