Evaluations of some determinants of matrices related to the Pascal triangle
Krattenthaler, Christian
Original · EN
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; see http://arxiv.org/abs/math.CO/0109013].
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