𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Extending Pascal's triangle

✍ Scribed by P. Fjelstad

Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
174 KB
Volume
21
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Pascal's Triangle (mod 8)
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

Fractals related to Pascal's triangle
Fractals related to Pascal's triangle
✍ I. JimΓ©nez Calvo; J. MuΓ±oz MasquΓ© πŸ“‚ Article πŸ“… 1996 πŸ› Springer Netherlands 🌐 English βš– 786 KB

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