| Autor: |
Debellevue, Michael, Kryuchkova, Ekaterina |
| Zdroj: |
The Fibonacci Quarterly; May 2018, Vol. 56 Issue: 2 p113-120, 8p |
| Abstrakt: |
AbstractPascal's triangle is known to exhibit fractal behavior modulo prime numbers. We tackle the analogous notion in the Fibonomial triangle modulo prime pwith the rank of apparition p*= p+ 1, proving that these objects form a structure similar to the Sierpinski Gasket. Within a large triangle of p*pm+1many rows, in the ithtriangle from the top and the jthtriangle from the left, is divisible by pif and only if is divisible by p. This proves the existence of the recurring triangles of zeroes that are the principal component of the Sierpinski Gasket. The exact congruence classes follow the relationship , where . |
| Databáze: |
Supplemental Index |
| Externí odkaz: |
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