This material has been published in
Séminaire
Lotharingien Combin. 47 (2002), Article B47g, 19 pp.
Christian Krattenthaler
Evaluations of some determinants of matrices
related to the Pascal triangle
(19 pages)
Abstract.
We prove several evaluations of determinants
of matrices, the entries of which are given by the recurrence
ai,j=
ai-1,j+ai,j-1,
or variations thereof. These
evaluations were either conjectured or extend conjectures
by Roland Bacher (J. Théorie Nombres Bordeaux 13 (2001),
to appear).
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