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Pascal's Triangle

✍ Scribed by Rich Cordes; Dick Nungester

Book ID
114974818
Publisher
School Science and Mathematics Association
Year
1972
Tongue
English
Weight
129 KB
Volume
72
Category
Article
ISSN
0036-6803

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πŸ“œ SIMILAR VOLUMES

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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

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A precise definition of a fractal FΒ’, derived from Pascal's triangle modulo p~ ( p prime) is given. The number of nonzero terms in the first pS lines of Pascal's triangle modulo pr is computed. From this result the Hausdorff dimension and Hausdorff measure of Fv ~. are deduced. The nonself-similarty