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Games, Patterns, and Pascal's Triangle

✍ Scribed by David R. Duncan; Bonnie H. Litwiller


Book ID
114974943
Publisher
School Science and Mathematics Association
Year
1973
Tongue
English
Weight
177 KB
Volume
73
Category
Article
ISSN
0036-6803

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Pascal's Triangle
✍ Rich Cordes; Dick Nungester πŸ“‚ Article πŸ“… 1972 πŸ› School Science and Mathematics Association 🌐 English βš– 129 KB
Pascal's Triangle
✍ Karl J. Smith πŸ“‚ Article πŸ“… 1973 πŸ› JSTOR βš– 870 KB
Extending Pascal's triangle
✍ P. Fjelstad πŸ“‚ Article πŸ“… 1991 πŸ› Elsevier Science 🌐 English βš– 174 KB
Pascal's Triangle (mod 8)
✍ James G. Huard; Blair K. Spearman; Kenneth S. Williams πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 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