Hoffman's rational zeta-value conjecture for Louchard's coefficients

Let $I_n$ denote the coefficients in Louchard's asymptotic expansion, and let $\zeta(i)$ be the ordinary Riemann zeta values. Hoffman's rational zeta-value conjecture. For each $n$, $I_n$ is a rational polynomial in the ordinary zeta values $\zeta(i)$ with $i>2$. This conjecture asserts that the alternating multiple zeta values arising in the calculation ultimately cancel in favor of ordinary zeta values; the paper verifies this for the coefficients it computes, but leaves the general case open.