  A matrix is called Bohemian if its entries are sampled from a finite set of
integers. We determine the maximum absolute determinant of upper Hessenberg
Bohemian Matrices for which the subdiagonal entries are fixed to be $1$ and
upper triangular entries are sampled from $\{0,1,\cdots,n\}$, extending
previous results for $n=1$ and $n=2$ and proving a recent conjecture of Fasi &
Negri Porzio [8]. Furthermore, we generalize the problem to non-integer-valued
entries.
