  We prove several evaluations of determinants of matrices, the entries of
which are given by the recurrence $a_{i,j}=a_{i-1,j}+a_{i,j-1}$, or variations
thereof. These evaluations were either conjectured or extend conjectures by
Roland Bacher [J. Th\'eorie Nombres Bordeaux 13 (2001), to appear; see
http://arxiv.org/abs/math.CO/0109013].
