Maximizing weighted sums of binomial coefficients using generalized continued fractions

S. P. Glasby, G. R. Paseman

Let $m,r\in \mathbb{Z}$ and $\ddot{I}‰\in \mathbb{R}$ satisfy $0⩽r⩽m$ and $\ddot{I}‰⩾1$. Our main result is a generalized continued fraction for an expression involving t…