Abstract
The zeros of the array D ¯ p ( i , j ) obtained from the Delannoy numbers D ( i , j ) modulo an odd prime p give an interesting pattern. Since the numbers D ( i , j ) satisfy the Lucas property only the zeros of the so-called principal cell are relevant. The standard combinatorial expression for D ( i , j ) in the language of lattice paths will be derived and the entries on the middle row of the principal cell will be discussed.
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