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PASCAL'S TRIANGLE

โœ Scribed by Rick Havens


Book ID
125466614
Publisher
National Council of Teachers of Mathematics
Year
2005
Weight
672 KB
Volume
98
Category
Article
ISSN
0025-5769

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Pascal's Triangle
โœ Rich Cordes; Dick Nungester ๐Ÿ“‚ Article ๐Ÿ“… 1972 ๐Ÿ› School Science and Mathematics Association ๐ŸŒ English โš– 129 KB
Pascal's Triangle
โœ Karl J. Smith ๐Ÿ“‚ Article ๐Ÿ“… 1973 ๐Ÿ› JSTOR โš– 870 KB
Extending Pascal's triangle
โœ P. Fjelstad ๐Ÿ“‚ Article ๐Ÿ“… 1991 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 174 KB
Pascal's Arithmetical Triangle
โœ George Lilley ๐Ÿ“‚ Article ๐Ÿ“… 1894 ๐Ÿ› Mathematical Association of America ๐ŸŒ English โš– 182 KB
Pascal's triangle as an expansion triang
โœ Jesse Gillespie and Shirley Gearheart ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› National Council of Teachers of Mathematics โš– 544 KB
Pascal's Triangle (mod 8)
โœ James G. Huard; Blair K. Spearman; Kenneth S. Williams ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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