On some divisibility properties of binomial sums

In this paper, we consider two particular binomial sums [Formula: see text] and [Formula: see text] which are inspired by two series for [Formula: see text] obtained by Guillera. We consider their divisibility properties and prove that they are divisible by [Formula: see text] for all integers [Formula: see text]. These divisibility properties are stronger than those divisibility results found by He, who proved the above two sums are divisible by [Formula: see text] with the WZ-method.