  We showcase a collection of practical strategies to deal with a problem
arising from an analysis of integral estimators derived via quasi-Monte Carlo
methods. The problem reduces to a triple binomial sum, thereby enabling us to
open up the holonomic toolkit, which contains tools such as creative
telescoping that can be used to deduce a recurrence satisfied by the sum. While
applying these techniques, a host of issues arose that partly needed to be
resolved by hand. In other words, no creative telescoping implementation
currently exists that can resolve all these issues automatically. Thus, we felt
the need to compile the different strategies we tried and the difficulties that
we encountered along the way. In particular, we highlight the necessity of the
certificate in these computations and how its complexity can greatly influence
the computation time.
