✦ LIBER ✦

Differences and Pascal's Triangle

✍ Scribed by Chris Houghton

Book ID: 121668107
Year: 1991
Weight: 318 KB
Volume: 20
Category: Article
ISSN: 0305-7259
DOI: 10.2307/30214830

No coin nor oath required. For personal study only.

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Lucas' theorem gives a congruence for a binomial coefficient modulo a prime. Davis and Webb (Europ. J. Combinatorics, 11 (1990), 229-233) extended Lucas' theorem to a prime power modulus. Making use of their result, we count the number of times each residue class occurs in the nth row of Pascal's tr