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Math Bite: Findingein Pascal’s Triangle

✍ Scribed by Harlan J. Brothers


Book ID
111895646
Publisher
Mathematical Association of America
Year
2012
Tongue
English
Weight
210 KB
Volume
85
Category
Article
ISSN
0025-570X

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📜 SIMILAR VOLUMES


Pascal's Triangle
✍ Rich Cordes; Dick Nungester 📂 Article 📅 1972 🏛 School Science and Mathematics Association 🌐 English ⚖ 129 KB
Pascal's Triangle (mod 8)
✍ James G. Huard; Blair K. Spearman; Kenneth S. Williams 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 257 KB

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

Games, Patterns, and Pascal's Triangle
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Fractals related to Pascal's triangle
✍ I. Jiménez Calvo; J. Muñoz Masqué 📂 Article 📅 1996 🏛 Springer Netherlands 🌐 English ⚖ 786 KB

A precise definition of a fractal F¢, 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